Answer:
f(x) = x ³ shifted 4 units to the right will be g(x) = f(x-4) = (x - 4)³
Step-by-step explanation:
If a function f(x) is shifted right 4 units every x coordinate will become x - 4
g(x) = f(x - 4) = (x - 4)³
Three times the sum of two numbers is 15. One of the numbers is 9 more than one-third of the other number. How can you use a system of equations to find the two numbers
The values of the two numbers of the system of equations is x = 6 and y = -9.
First, we are told that "three times the sum of two numbers is 15". This can be written as:
3(x + y) = 15
Next, we are given that "one of the numbers is 9 more than one-third of the other number". We can break this down into two parts:
"one of the numbers": this refers to either x or y, but we don't know which one yet. Let's assume that it refers to x.
"9 more than one-third of the other number": this means that we take one-third of the other number (y), add 9, and that gives us x. In equation form, this is:
x = (1/3)y + 9
Now we have two equations with two variables:
3(x + y) = 15
x = (1/3)y + 9
We can use these equations to solve for x and y. There are different methods for solving a system of equations, but one common method is substitution.
Using the second equation, we can solve for x in terms of y:
x = (1/3)y + 9
3x = y + 27
y = 3x - 27
Now we can substitute this expression for y into the first equation:
3(x + y) = 15
3(x + 3x - 27) = 15
Simplifying this equation gives:
12x = 72
x = 6
Finally, we can use the equation we found for y in terms of x to find the value of y:
y = 3x - 27
y = 3(6) - 27
y = -9
So the two numbers are x = 6 and y = -9.
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How can i simplify 4. 3,-1. 07 and -2. 971 into a positive number
By considering the absolute values of the integers, 4, 3,07, and 2.971 may be derived as a simpler set of positive numbers for the equations.
The distance a number is from zero on the number line is its absolute value. Taking a number's absolute value allows you to convert it into a positive number because it is by definition always positive. Just disregarding the sign and focusing on the size of a number allows us to determine its absolute value. This rule may be applied to each of the supplied integers in this situation, giving rise to their absolute values, which are all positive. The set of real numbers that are greater than zero in mathematics is known as the set of positive real numbers, or displaystyle'mathbb 'R' '>0'='left'x'in'mathbb 'R"mid x>0'right'.
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a professor at a local university noted that the exam grades of her students were normally distributed with a mean of 68 and a standard deviation of 17. according to the professor's grading scheme only the top 12.3 percent of her students receive grades of a. what is the minimum score needed to receive a grade of a? write your answer to two decimal points.
A minimum score of 88.95 is required to receive an "A" grade on the exam.
To determine the minimum score required to receive an "A" grade on an exam, we must first understand the meaning of standard deviation and mean. The mean is the average of a set of values, whereas the standard deviation is a measure of how far apart the values are from the mean. The minimum score required to receive an "A" grade is determined by calculating the z-score that corresponds to the top 12.3 percent of exam scores.
The formula for calculating the z-score is given as: z = (x - μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation. Solving for z, we have: z = invNorm(1 - 0.123) = invNorm(0.877) ≈ 1.15. The inverse normal distribution function is used to determine the value of z that corresponds to the area to the right of the z-score. We can then use the formula for the z-score to solve for the raw score (x):
x = zσ + μ
Substituting the values we have, we get:
x = 1.15(17) + 68 ≈ 88.95
Therefore, a minimum score of 88.95 is required to receive an "A" grade in the exam.
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Pls helppppppppppppp
Explain how you can check your answer for 8 divided by 1/5
The value that can be gotten from expression of 8 divided by 1/5 is 40.
How can the division be determined?In mathematics, division is an arithmetic operation that involves splitting a quantity or a number into equal parts or groups. It is the inverse operation of multiplication.
The division symbol is usually represented by a forward slash (/) or a division sign (÷). It is represented as "a ÷ b" or "a/b," where "a" is the dividend, "b" is the divisor, and the result is the quotient.
When we divide one number by another, we are essentially finding out how many times the divisor can fit into the dividend. For example, if we divide 10 by 2, we are asking how many times 2 can fit into 10. The answer is 5, so 10 divided by 2 is 5.
Given that 8 divided by 1/5, which can be expressed as ;
8 / (1/5)
= 8÷(1/5)
=8 * 5/1= 40
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would there be a problem with taking readings from the right side of a sphere if the diameters of the spheres were different?
There would be a problem with taking readings from the right side of a sphere if the diameters of the spheres were different because the right side of a sphere is not a fixed point, but rather a relative term.
If the diameters of two spheres were different, the right side of one sphere would not be the same as the right side of the other sphere. This means that taking readings from the right side of each sphere would not be a fair comparison, as the points being measured are not equivalent.
For example, imagine two spheres with diameters of 5cm and 10cm, respectively. If we were to take readings from the right side of each sphere, we would be measuring points at different distances from the center of each sphere. This would result in inaccurate measurements and an unfair comparison.
To avoid this problem, it is important to define a consistent point of measurement on each sphere that is equivalent, regardless of the diameter. For example, measuring from the center of each sphere would provide a consistent and fair comparison.
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gold medals silver medals bronze medals usa 20 18 42 spain 25 13 11 france 19 27 26 based on the data in the two-way frequency table, what is the probability that a randomly selected player won a bronze medal given that the player represented spain?
Hence, the likelihood is 11/80, or roughly 0.138 as the player represented Spain, the likelihood that a randomly chosen athlete.
what is probability ?The likelihood or chance of an event occurring is measured by probability. It is a number between 0 and 1, where 0 denotes the impossibility of an event and 1 denotes its certainty. By dividing the number of favorable outcomes by the total number of possible outcomes, one can determine the probability of an occurring. Because there is only one desirable result (rolling a 3) out of six potential outcomes, the probability of rolling a 3 when using a fair six-sided die is 1/6. (rolling a 1, 2, 3, 4, 5, or 6).
given
The number of gold, silver, and bronze medals each player from each nation has earned is displayed in the table.
We need to utilize conditional probability to determine the likelihood that a randomly chosen player won a bronze medal provided that the player represented Spain.
The following formula determines the conditional probability of an event B given an event A:
P(A and B) = P(B|A) (A)
where P(A) is the likelihood that event A will occur and P(A and B) is the likelihood that events A and B will both occur.
In this instance, event A was the player representing Spain, and event B was the bronze medal the player took home.
The table reveals that 11 bronze medals were won by Spanish athletes. Moreover, the total number of medals won by Spanish athletes is:
20 + 18 + 42 = 80
Hence, given that the player represented Spain, the likelihood that a randomly chosen athlete would have earned a bronze medal is:
P(B|A) = 11/80
Hence, the likelihood is 11/80, or roughly 0.138 as the player represented Spain, the likelihood that a randomly chosen athlete.
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pls help i need this today
Answer:
In a circle, an exterior angle is formed when a side of a triangle is extended. The measure of the exterior angle is equal to the sum of the measures of the two intercepted arcs.
Let x be the measure of the exterior angle. Then we have:
x = 84° + 108°
x = 192°
Therefore, the measure of the exterior angle is 192°.
how would i find an equation algebraicaly when my points are (0,3) to (5,3) and would what would be my domain and range? 20 points!!
Answer:
Step-by-step explanation:
To find the equation of a line when you have two points, you can use the point-slope formula. Here's how to do it:
1. Find the slope of the line using the two points:
slope = (y2 - y1) / (x2 - x1)
where (x1, y1) = (0, 3) and (x2, y2) = (5, 3)
slope = (3 - 3) / (5 - 0) = 0/5 = 0
2. Use the point-slope formula to find the equation of the line:
y - y1 = m(x - x1)
where m is the slope, and (x1, y1) is one of the points on the line. Using (0, 3) as the point, we get:
y - 3 = 0(x - 0) or y = 3
So the equation of the line is y = 3, a horizontal line passing through y = 3.
The domain of this equation is all real numbers, since x can take on any value and y will always be 3.
The range of this equation is a single value, y = 3, since the line is horizontal and every point on the line has the same y value of 3.
4x³-10x²-14x= factoring
Answer:
To factor 4x³-10x²-14x, we can first factor out the greatest common factor, which is 2x:
4x³-10x²-14x = 2x(2x² - 5x - 7)
Next, we can factor the quadratic expression 2x² - 5x - 7 using either factoring by grouping, completing the square, or the quadratic formula. Here, we'll use factoring by grouping:
2x² - 5x - 7 = 2x² - 7x + 2x - 7
= (2x² - 7x) + (2x - 7)
= x(2x - 7) + (2x - 7)
= (2x - 7)(x + 1)
Therefore, the factored form of 4x³-10x²-14x is:
4x³-10x²-14x = 2x(2x - 7)(x + 1)
Solve for x,
using the secant lines.
4 cm
20 cm
x = [?] cm
X
6 cm
Remember: a b = c.d
Enter
Answer:
x = 118.5°
Step-by-step explanation:
the measure of the chord- chord angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
x = [tex]\frac{1}{2}[/tex] (27 + 210)° = [tex]\frac{1}{2}[/tex] × 237° = 118.5°
The value of x in the given circle by secant lines is 118.5 degrees.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
A straight line that intersects a circle in two points is called a secant line
A chord is in a unique secant line and every secant line defines a unique chord.
The measure of the angle x is half the sum of the measures of the arcs intercepted by the angle and its vertical angle
x=1/2(210+27)
x=1/2(237)
Divide two hundred thirty seven by two
x=118.5
Hence, the value of x in the given circle by secant lines is 118.5 degrees.
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THIS TOO PLEASE MY TIME LIMIT IS ALMOST OIT
The answer on the number line is 1) √2,√3,√4,√5,√6,√7,√8,√9,√10 . 2). A. √62 (between 7 and 8 on the number line),B. √84 (between 9 and 10 on the number line),C.
What is Perfect square?In mathematics, perfect square is integer that is square of an integer. In other words, perfect square is non-negative integer that can be expressed as product of some integer multiplied by itself.
1). The first perfect square is 1, so it is already placed on the number line. The other perfect squares are:
4,9,16,25,36,49 64,81,100
You can place each of these numbers on the number line above the corresponding tick mark.
2). Place the following letters on their approximate place on the number line above.
To place each letter on the number line, you need to estimate its value based on its square root. For example, the square root of 62 is between the square roots of 49 and 64, so you can place letter A between those two numbers on the number line.
Here are the estimated values and approximate placements for each letter:
A. √62 (between 7 and 8 on the number line)
B. √84 (between 9 and 10 on the number line)
C. √23 (between 4 and 5 on the number line)
D.√34 (between 5 and 6 on the number line)
E. √54 (between 7 and 8 on the number line)
F. √12 (between 3 and 4 on the number line)
G. √77 (between 8 and 9 on the number line)
H. √45 (between 6 and 7 on the number line)
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the pediatrician writes an order for methylprednisolone injection 15 mg iv now. how many milliliters will the nurse administer? round the answer to the nearest hundredth.
As a result, the carer will deliver 0.38 mL of methylprednisolone.
Are millilitres and ml the same thing?Milliliter is what the ml stands for. When pronouncing the characters aloud, the word ml is usually pronounced millilitre. It's good to keep this in mind. Simply imagine to yourself, "l = liquid," whenever you see the small "l".
To determine how many milliliters of methylprednisolone injection the nurse will administer, we need to know the concentration of the medication. Let's assume the concentration is 40 mg/mL.
We can use the following formula to calculate the amount to administer:
Amount (mL) = Dose (mg) / Concentration (mg/mL)
Plugging in the values from the order, we get:
Amount (mL) = 15 mg / 40 mg/mL
Amount (mL) = 0.375 mL
Rounding the answer to the nearest hundredth gives us:
Amount (mL) = 0.38 mL
Therefore, the nurse will administer 0.38 mL of methylprednisolone injection.
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I need some help please
The equation of the line is y = -3x + 4.
How to find the equation of a line?The equation of a line can be represented in slope intercept form as follows:
y - mx + b
where
m = slope of the lineb = y-intercept of the lineHence, using (1, 1) and (0, 4)
Therefore,
m = 4 - 1 / 0 - 1
m = 3 / -1
m = -3
Hence, the y-intercept of the line is as follows:
y = -3x + b
4 = -3(0) + b
b = 4
Therefore, the equation of the line is y = -3x + 4
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Given f(x)=6x and g(x)=1/3x^-2, find: (f • g) (3)
Answer:
2/3 is the answer .......mmm..
bag contains seven batteries, all of which are the same size and are equally likely to be selected. each battery is different brand. if you select five batteries at random, use the counting principle to determine how many points will be in the sample space if the batteries are selected. a) with replacement b) without replacement (scroll down for answer!)
The answer would be a) With Replacement 16,807 points will be in the sample space if batteries are selected.
The sample space with replacement would be 7^5 = 16,807 points. This means that when selecting five batteries from a bag of seven with replacement, the total number of points would be 16,807. This is because each of the five batteries could potentially be from the same brand, so the sample space would include all 16,807 possibilities of the combination of 5 batteries from the 7 available.
B) Without Replacement: The sample space without replacement would be 7P5 = 21,053 points. This means that when selecting five batteries from a bag of seven without replacement, the total number of points would be 21,053. This is because each of the five batteries must be from a different brand, so the sample space would include all 21,053 possibilities of the combination of 5 batteries from the 7 available.
In conclusion, the sample space would have more points if the batteries are selected without replacement compared to when the batteries are selected with replacement. This is because when batteries are selected without replacement, each of the five batteries must be from a different brand, whereas when batteries are selected with replacement, the same brand could be chosen multiple times.
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in the inspection of tin plate by continous electrolytic process, .15 imperfections are spotted on one minute average. find the probability that three imperfection plates are spottwd in three minutes
The probability of spotting 3 imperfections plates in 3 minutes is .3352.
The probability of spotting 3 imperfections plates in 3 minutes can be calculated using the binomial probability formula. This formula is used to calculate the probability of getting a certain number of successes in a certain number of trials (n), given a certain probability of success (p) for each trial.
In this case, the probability of success (p) is .15 and the number of trials (n) is 3. The formula for this is:
[tex]P(X = 3) = 3C3(.15)^3(1-.15)^(3-3)[/tex]
P(X = 3) = .3352
Therefore, the probability of spotting 3 imperfections plates in 3 minutes is .3352.
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I need help pleasee!
Answer:
a. After 10 minutes of hiking, Kiran will have covered a distance of:
distance = rate × time
distance = 0.04 mile/min × 10 min
distance = 0.4 mile
So, his remaining distance on the trail will be:
remaining distance = total distance - covered distance
remaining distance = 1.8 mile - 0.4 mile
remaining distance = 1.4 miles
Therefore, Kiran's remaining distance on the trail after 10 minutes of hiking is 1.4 miles.
b. We can use the same formula to find out how far Kiran will have walked after a certain amount of time:
distance = rate × time
We know that Kiran walks at a rate of 0.04 mile a minute, and we want to find out how much time it will take him to cover the remaining distance of 0.2 mile. So we can rearrange the formula to solve for time:
time = distance / rate
time = 0.2 mile / 0.04 mile/min
time = 5 minutes
Therefore, Kiran will have 0.2 mile left on the trail after 5 minutes of walking.
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What is the radius of a sphere if its volume is 7,234.56 ft3 please answer it,Show work.
Answer:
11.52 feet
Step-by-step explanation:
The formula for the volume of a sphere is V = (4/3)πr³, where V is the volume and r is the radius.
We can rearrange the formula to solve for the radius:
r = (3V/4π)^(1/3)
Substituting the given volume V = 7,234.56 ft³, we get:
r = (3(7,234.56)/(4π))^(1/3) ≈ 11.52 ft
Therefore, the radius of the sphere is approximately 11.52 feet.
HURRY HELP
!!!!!!!!!
The altitude of drone is 8.4ft.
Definition of Angle of ElevationThe angle generates in between the horizontal line and the line of sight when an observer looks upward is referred to as the angle of elevation in mathematics. It is always greater than the observer and at a larger angle.
Angle of Depression: What is it?The term "angle of depression" defined as the angle created when an observer looks down at an item and the horizontal line intersects with the line of sight. It gauges how our area of vision shifts as we see down.
In the given figure,
∠DTL=35°
LT=12ft
tan35°=DL/LT
tan35°=DL/12
DL=8.4ft
Hence, The altitude of drone is 8.4ft.
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you glass of orange is 1/2 full. Your friends glass is 1/3 full. your friend has more orange juice explain how this is possible
Answer:
Step-by-step explanation:
It is possible if your friend has a bigger glass than you.
Jose created a ball pit for his little sister to play in. He put 40 red balls, 55 purple balls, 45 yellow balls, and 60 green balls into the ball pit. While his sister is playing, one ball rolls out of the pit. What is the probability that the ball is red? Responses 0. 17 0. 17 0. 20 0. 20 0. 25 0. 25 0. 40
The probability that the ball that rolled out of the pit is red is 0.2 or 20%.
Now, let's apply this concept to Jose's ball pit problem. We know that Jose put 40 red balls, 55 purple balls, 45 yellow balls, and 60 green balls into the ball pit. The total number of balls in the pit is therefore:
Total number of balls = 40 + 55 + 45 + 60 = 200
Next, we know that one ball has rolled out of the pit. We want to find the probability that this ball is red. To do this, we need to calculate the probability of selecting a red ball from the total number of balls in the pit.
Probability of selecting a red ball = Number of red balls / Total number of balls
= 40 / 200
= 0.2 or 20%
This means that for every 10 balls that roll out of the pit, 2 of them are expected to be red.
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Quick
Check
Sorting the Number of possible mangies
Sort each set of triangle measurements into the appropriate category for number of possible triangles.
No Triangles
One Triangle
Many Triangles
5,15,160
45°, 45°, 90°
2,8,10
7,24,25
30°,85,60"
No triangles: angle 30°,85°,60° and sides 2,8,10
One triangle: sides 7,24,25
many triangles: angle 5°,15°,160° and angle 45°, 45°, 90°
Define triangleA triangle is a geometric shape that is formed by connecting three points in a plane with straight lines. It has three sides, three angles, and three vertices (or corners). The sum of the angles in a triangle is always 180 degrees. Triangles are classified based on the lengths of their sides and the measures of their angles.
No Triangles:Sum of angles should not be equal to 180°
Sum of two sides of triangle is not always greater than third side.
30°+85°+60°=175°<180°
Hence, this angle do not form triangle
2+8=10
Hence, this sides do not form triangles.
One triangle:Sum of two sides of triangle is always greater than third side.
7+24>25
Hence, this sides do not form triangles.
many triangles:Sum of angles should be equal to 180°
5°+15°+160°=180°
Hence, this angle form triangle
45°+45°+90°=180°
Hence, this angle form triangle.
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The complete question is:
Image is attached below.
two integers from 1 to 60 are chosen by a random number generator. what is the probability that (a) both numbers are odd, (b) both numbers are less than 12, and (c) the same number is chosen twice?
(a) Probability that both numbers are odd = 0.4932
(b) Probability that both numbers are less than 12 = 0.4545
(c) Probability that the same number is chosen twice = 1/60
(a) To find the probability that both numbers are odd, we need to count the number of ways to choose two odd numbers between 1 and 60, and divide by the total number of possible outcomes.
There are 30 odd numbers between 1 and 60, so there are 30 choices for the first number and 29 choices for the second number (since the two numbers can be the same). The total number of possible outcomes is 60 choose 2, which is
60 choose 2 = (60 × 59) / 2 = 1770
So the probability that both numbers are odd is
(30 × 29) / 1770 = 0.4932
(b) To find the probability that both numbers are less than 12, we need to count the number of ways to choose two numbers between 1 and 11, and divide by the total number of possible outcomes.
There are 11 choices for each number, so there are 11 × 11 = 121 possible outcomes. The number of ways to choose two numbers less than 12 is
11 choose 2 = (11 × 10) / 2 = 55
So the probability that both numbers are less than 12 is
55 / 121 = 0.4545
(c) To find the probability that the same number is chosen twice, we need to count the number of ways to choose a number, and then multiply by the probability that the same number is chosen again.
There are 60 choices for the first number, and only 1 choice for the second number if we want it to be the same as the first. So the probability that the same number is chosen twice is
1/60
So the probability that the same number is chosen twice is
(1/60) × 60 = 1/60
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Last month, Cinderella weighed 170 pounds. This morning, her weighing scale showed her weight changed by 10 percent as compared to last month. How much did she weigh this morning?
Cinderella would weigh either 187 or 153 pounds this morning.
What is unit cοnversiοn?Unit cοnversiοn is the prοcess οf cοnverting a quantity expressed in οne unit οf measurement tο anοther equivalent quantity expressed in a different unit οf measurement. It invοlves using cοnversiοn factοrs that relate the twο units οf measurement. This is dοne by multiplying οr dividing the οriginal quantity by a cοnversiοn factοr, which is a ratiο οf the twο units οf measurement that is equal tο οne.
Cinderella's weight increased or decreased by 10%, we can find her weight this morning by multiplying her previous weight by 1.10 (to find a 10% increase) or 0.90 (to find a 10% decrease).
For a 10% increase, Cinderella's weight this morning would be:
170 x 1.10 = 187 pounds
For a 10% decrease, Cinderella's weight this morning would be:
170 x 0.90 = 153 pounds
So depending on whether her weight increased or decreased by 10%, Cinderella would weigh either 187 or 153 pounds this morning.
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Solve for x. Round to the nearest tenth of a degree, if necessary.
please help me I will give brainliest to whoever helps me
Answer: x= 71
Step-by-step explanation:
Since each triangle has a sun of all the angles to equal 180, we can figure what is X.
for the divisibility relation on the set {1, 2, 3, 6, 8, 12, 24, 36}, what will be the least upper bound of elements {8, 12}?
The least upper bound of the elements {8, 12} under the divisibility relation on the set {1, 2, 3, 6, 8, 12, 24, 36} is 24.
To find the least upper bound of a set of elements under a relation, we look for the smallest element in the set that is greater than or equal to all of the elements in the set.
Under the divisibility relation, an element a is said to be divisible by an element b (written as b divides a) if a is a multiple of b, that is, a = b * k for some integer k. For example, 8 divides 24 because 24 = 8 * 3.
We want to find the least upper bound of the elements {8, 12} under this relation on the set {1, 2, 3, 6, 8, 12, 24, 36}. That means we want to find the smallest element in the set that is a multiple of both 8 and 12.
We can list the multiples of 8 and 12 in the set as follows:
Multiples of 8: 8, 24
Multiples of 12: 12, 24, 36
We can see that the smallest element in the set that is a multiple of both 8 and 12 is 24.
Therefore, the least upper bound under the divisibility relation on the set {1, 2, 3, 6, 8, 12, 24, 36} is 24.
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Can someone please help with this????????!
Answer:
216.8
Step-by-step explanation:
Pi times 13-Pi times 100
n ice cream company is interested to see if the proportion of people in this town who like chocolate ice cream is significantly different than the national average. what is the hypothesis test to be done?
Option B) H o: p = 0.5, H₁: p ≠ 0.5. This is a two-tailed test where the null hypothesis states that the proportion of people in the town who like chocolate ice cream is equal to the national average of 0.5.
The alternative hypothesis states that the proportion is either greater than or less than 0.5. This test is appropriate because it is comparing a single proportion (people in the town who like chocolate ice cream) to a known population proportion (the national average). The test statistic used would be a z-score, calculated using the sample proportion and the population proportion.
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Complete question is in the image attached below
if 7 cards are dealt from an ordinary deck of 52 playing cards, what is the probability that (a) exactly 2 of them will be face cards? (b) at least 1 of them will be a queen?
If 7 cards are dealt from an ordinary deck of 52 playing cards, the probability that (a) exactly 2 of them will be face cards is 0.3601. and (b) at least 1 of them will be a queen is 0.0008.
A) The probability that exactly 2 of the 7 cards dealt from an ordinary deck of 52 playing cards will be face cards is as follows:
We need to use the formula for probability here. The probability formula is given by,
Probability = Number of favorable outcomes/ Total number of possible outcomes.
The total number of possible outcomes = Number of ways 7 cards can be selected from 52 = ₅₂C₇
A number of favorable outcomes = Number of ways 2 face cards can be selected from 12 face cards * Number of ways 5 nonface cards can be selected from 40 non-face cards
= ₁₂C₂ * ₄₀C₅
Putting these values in the formula,
Probability = ₁₂C₂ * ₄₀C₅ / ₅₂C₇.
Simplifying this gives Probability = 0.3601. (Rounded to four decimal places)
b) The probability that at least 1 of the 7 cards dealt from an ordinary deck of 52 playing cards will be a queen is as follows:
Here, we can use the complement rule. i.e. we can calculate the probability of none of the 7 cards being a queen and subtract that from
1. Total number of possible outcomes = Number of ways 7 cards can be selected from
52 = ₅₂C₇
Number of favorable outcomes = Number of ways 7 non-queen cards can be selected from 48 non-queen cards = ₄₈C₇
Putting these values in the formula,
The Probability of none of the cards being a queen = ₄₈C₇ / ₅₂C₇
Therefore, the Probability of at least 1 of the 7 cards being a queen
= 1 - ₄₈C₇ / ₅₂C₇ Probability of at least 1 queen
= 1 - 0.9992
= 0.0008 (rounded to four decimal places).
Learn more about the probability of a deck of 52 playing cards at: https://brainly.com/question/5858025
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