The probability that the sixth child will be a son is 50%. Each child, regardless of gender, has an equal chance of being born.
What is the probability that the sixth child will be a son?The probability of having a son as the sixth child can be calculated using the binomial formula. The binomial formula is used to calculate the probability of an event occurring after a certain number of trials, given the probability of success in each trial.In this case, the probability of having a son is the same for each trial (or birth), which is 0.5 (since the odds of having a boy or a girl are equal).Therefore, the probability of having a son as the sixth child can be calculated as follows:P(son) = (5 choose 6) x (0.5^6) = 0.015625
The binomial formula is used to calculate the probability of an event occurring after a certain number of trials, given the probability of success in each trial. In this case, the probability of having a son is the same for each trial (or birth), which is 0.5 (since the odds of having a boy or a girl are equal).Therefore, the probability of having a son as the sixth child can be calculated using the binomial formula as follows: P(son) = (5 choose 6) x (0.5^6) = 0.015625.
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Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television
The brand-name television's measurements are 32 inches by 64 inches, so answer (C) is accurate.
How to find the television's measurements Calculation?Given: The generic version was created based on the brand name and was three eighths the size of the brand name.
12 inches by 24 inches is the size of the standard television set.
Allowing for x by y as the brand name's measurements
12 inches divided by three eighths
8/3 x = 12
x = 12 * 8 / 3 = 32 inch
and y=3/8 inches equals 24 inches
8/3 y = 24
y = 24 * 8 / 3 = 64 inch
As a result, the brand-name television has the following measurements: 32 by 64 inches.
Therefore, choice (C) is the appropriate response.
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The complete question is: Jason considered two similar televisions at a local electronics store. The generic version was based on the brand name and was the size of the brand name. If the generic television set is 12 inches by 24 inches, what are the dimensions of the brand name television?
a) 7.5 inches by 15 inches
b) 28 inches by 56 inches
c) 32 inches by 64 inches
d) 4.5 inches by 9 inches
Select all the correct answers.
Joanna set a goal to drink more water daily. The number of ounces of water she drank each of the last seven days is shown below.
60, 58, 64, 64, 68, 50, 57
On the eighth day, she drinks 82 ounces of water. Select all the true statements about the effect of the eighth day's amount on Joanna's daily amount distribution.
The interquartile range of the data increases when the eighth day's amount is included in the data.
The median amount of water is higher when the eighth day's amount is included in the data.
The interquartile range of the data decreases when the eighth day's amount is included in the data.
The median amount of water is the same with or without the inclusion of the eighth day's amount.
The average daily amount of water is the same with or without the inclusion of the eighth day's amount.
The interquartile range of the data decreases when the eighth day's amount is included in the data is true.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Joanna set a goal to drink more water daily.
The number of ounces of water she drank each of the last seven days is
60, 58, 64, 64, 68, 50, 57
On the eighth day, she drinks 82 ounces of water.
Raw data: [60,58,64,64,68,50,57,82],
Sorted data: [50,57,58,60,64,64,68,82]
Sample size = 8 (even)
mean = 62.875
median = (60+64)/2 = 62
1st quartile = (57+58)/2 = 57.5
3rd quartile = (64+68)/2 = 66
IQR = 66 - 57.5 = 8.5
Data without the eight day's measurement.
Raw data: [60,58,64,64,68,50,57]
Sorted data: [50,57,58,60,64,64,68]
Sample size = 7 (odd)
mean = 60.143
median = 60
1st quartile = 57
3rd quartile = 64
IQR = 64 -57 = 7
Hence, the interquartile range of the data decreases when the eighth day's amount is included in the data is true.
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Answer: It's just
The interquartile range of the data decreases when the eighth day's amount is included in the data.
Step-by-step explanation: The question asks you to select ALL correct answers, but there is only one correct answer.
Point E is located at -12 on the number line.Point F is located at point 9 on the number line. What is the distance between Point F on the number line?
Answer:
21 points
Step-by-step explanation:
Point E is located at -12 that is 12 points less than zero. And Point F is located at point 9 which means that is 9 points after zero.
So the total distance will be 12+9= 21 points between the two locations Point E and Point F.
We add the total difference from the point zero to get the total distance between the two points.
Suppose a shoe factory produces both low-grade and high-grade shoes. The factory produces at least twice as many low-grade as high-grade shoes. The maximum possible production is 500 pairs of shoes. A dealer calls for delivery of at least 100 high-grade pairs of shoes per day. Suppose the operation makes a profit of Birr 2.00 per a pair of shoes on high-grade shoes and Birr 1.00 per pairs of shoes on low-grade shoes. How many pairs of shoes of each type should be produced for maximum profit? Hint: Let x denote the number of high-grade shoes. Let y denote the number of low-grade shoes.
but can you make it clear more please
The total number of pairs of shoes produced should be 500 (the maximum possible production). The profit per day should be maximized, so we need to solve the following system of equations:
2x + 1y ≥ 100 (the number of high-grade shoes should be at least 100)
x + y = 500 (the total number of pairs of shoes produced should be 500)
Solving for x and y, we get:
x = 400 (high-grade shoes)
y = 100 (low-grade shoes)
Therefore, the factory should produce 400 pairs of high-grade shoes and 100 pairs of low-grade shoes for maximum profit.
How to optimize a factory’s production process to maximize profit?To optimize a factory's production process to maximize profit, the factory should focus on increasing efficiency and reducing costs. This can be done by streamlining processes, automating tasks, and utilizing data-driven decision making. Additionally, the factory should focus on reducing waste, lowering overhead costs, and developing cost-saving strategies. Finally, the factory should focus on finding new markets and expanding its customer base to increase revenue.
How to calculate the break-even point for a factory?The break-even point for a factory is the point where total revenue equals total costs. This can be calculated by subtracting the total variable costs (costs that change with production, such as raw materials and labor) from the total fixed costs (costs that are not affected by production, such as rent, insurance, and equipment). The difference is the break-even point, which is the total revenue needed to cover all costs and generate a profit.
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Rodrigo just became a personal trainer and is finalizing his pricing plans. For one plan, Rodrigo charges $39 for the initial consultation and then $42 per session. For another plan, he charges $54 for the consultation and $39 per session. Rodrigo realizes that the two plans have the same cost for a certain number of sessions. What is that cost? How many sessions is that?
Answer:
5
Step-by-step explanation:
I just did it
Check all the equations that apply to meet the Segment Addition Postulate in segment PB. PO=7x+6, OB=3x+6 and PB=38 select all that apply
7x-26=-3x
7x+6-3x-6=38
10x+12=38
10x=50
38+3x+6=7x+6
10x=26
you get 100 pts if you answer so pls help me :c
Answer:
these two apply:
10x + 12 = 38 and
10x = 26
Step-by-step explanation:
7x+6+3x+6 = 38
10x + 12 = 38
10x = 26
x = 2.6
1 point
Find the length/distance between points (1,3) and (3,15).
Answer:
12.165525 is the answer
Please help asap people kept giving me wrong answers. Due tonight in a couple hours +25pts
ES = ___ units
Round your answer to the nearest tenth.
The value of ES will be;
⇒ ES = 10.63 units
What is Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
Given that;
The coordinate of E = (- 3, - 4)
The coordinate of S = (4, 4)
Now,
Since, The coordinate of E = (- 3, - 4)
The coordinate of S = (4, 4)
Hence, The value of ES is find as;
⇒ ES = √ (4 - (-3))² + (4 - (-4))²
= √ 7² + 8²
= √ 49 + 64
= √ 113
= 10.63
Thus, The value of ES = 10.63 units
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The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m The mass, m kilograms, of a horse is 429 kg, correct to the nearest kilogram.
Complete this statement about the value of m
Answer:
all this for five points, you're not serious
The number of left-handed people in the world is one-tenth the number of right-handed people. The percent of right-handed people is nine times the percent of left-handed people and ambidextrous people combined. What percent of people are ambidextrous
According to question we can say that 1% percent of people are ambidextrous.
What is percentage?A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.
Let 'x' represent the percentage of left-handed people.
Let y represent the percentage of right-handed people.
Let z represent the percentage of ambidextrous people.
x = y/100
100x = y
y/100 = 9( x/100 + z/100)
y = 9x + 9Z
10x = 9x + 9z
x = 9z
x+y+z = 100
11x + x/9 = 100
100x/9 = 100
x = 9
z = 1%
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image below if ur able to answer it u r a math god
Answer:
B 20 is the Q2 of the set shown above
Answer:
thx
Step-by-step explanation:
in 2016, humans produced 29 billion tonnes of carbon dioxide. this is set to grow by around 40% by the year 2035. how many tonnes of carbon dioxide will be produced by humans in 2035? give your answer in standard form
will give the answers brainliest
Answer:
29000000000*140% = 40600000000
=40.6 billion
Step-by-step explanation:
right!!!
David wants to purchase a new fish tank. His current tank is 36 in. long, 12 in. wide, and 18 in. high. His new tank
will be 4 inches longer, 3 inches wider, and 6 inches higher. What will be the volume of his new tank?
Answer:
It should be 14400 square inches. Sorry if i'm wrong
ILL BRAINLIEST YOU PLEASE HELP ME
Answer:
B
Step-by-step explanation:
c=a^2+b^2=9^2+40^2=41
Determine whether the two expressions are equivalent. If so, tell what property is applied. If not, explain why.
( 8 + 27) + 52 and 8 + (27 + 52)
Which one is correct
yes, it uses the Commutative Property
yes, it uses the Identity Property
yes, it uses the Associative Property
no they are not equivalent
Answer:
yes, it uses the Associative Property
Step-by-step explanation:
The two expressions (8 + 27) + 52 and 8 + (27 + 52) are equivalent because they both equal 87. This is an example of the Associative Property of Addition which states that the order of the terms within an expression can be changed without changing the result.
Hassan plans to repaint some classroom bookcases. He has 1010 gallons of paint. All of the bookcases are the same size and each requires \tfrac{7}{8}
8
7
gallon of paint. What is the maximum number of complete bookcases he can paint?
Hassan can paint maximum 11 bookcases with 10 gallons of paint.
What are Fractions?A fraction represents a numerical value, which defines the parts of a whole.
Generally, the fraction can be a portion of any quantity out of the whole thing and the whole can be any specific things or value.
The basics of fractions explain the top and bottom numbers of a fraction.
Suppose a number has to be divided into four parts, then it is represented as x/4. So the fraction here, x/4, defines 1/4th of the number x. Hence, 1/4 is the fraction here.
Given,
Hassan has 10 gallons of paints.
1 bookcase requires 7/8 gallons of paint
Let Hassan paints x bookcases.
According to the question
7/8x = 10
7x = 80
x = 80/7
x = 11.43
But no. of bookcases should be in whole.
Number of bookcases painted with 10 gallons of paint = 11.
Hence, Maximum 11 bookcases can be painted by Hassan with 10 gallons of paint
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Geometry - Should be pretty easy
Answer:
DQR
Step-by-step explanation:
DEF is complentary to DQR
Answer:
∆DQR
Step-by-step explanation:
You want the similarity statement if the triangles shown are similar.
SimilarityTriangles will be similar if they have congruent corresponding angles, or proportional corresponding sides.
No angles are shown in the figure, but side lengths are given.
We expect that if the triangles are similar that the corresponding sides will be ...
DE ⇔ DQEF ⇔ QRFD ⇔ RDProportionThe attached calculator display shows the ratios of these side lengths are the same: 14/3. That means ...
∆DEF ~ ∆DQR
<95141404393>
A base of 4 inches , height of 8 inches , the volume is 112 , Whts the length of the entire figure ?
Answer:
3.5
Step-by-step explanation:
To find a variable in volume with 2 lengths and the total, you divide the volume by the 2 lengths.
4x8=32
112/32=3.5
DOUBLE CHECK:
3.5x4=14
14x8=112
---
hope it helps
How do you explain 2 3?
This is a coordinate pair of a point. 2 and 3 denotes X and Y coordinate respectively.
What is coordinate system?The system that is used to represent the location of points in the space is termed as coordinate system. There are two types of coordinate system such as polar and cartesian. In case system there are two reference axes which are perpendicular to each other.
In the cartesian system points are represented with respect to a vertical axis named Y axis and a horizontal axis named X axis.
How do we explain 2 3?We stated earlier that in the cartesian system a location of a point is identified by a pair of numerical terms.
So, 2, 3 indicates a pair of numerical terms. 2 denotes the X coordinate of the point and 3 denotes the Y coordinate of that point.
In the next, the distance of the point from X axis is 3 unit and distance from Y axis is 2 unit.
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Complete question is: In the point (2,3) which point denotes the y-coordinate.
Find the area of the following
parallelogram:
3 cm
5 cm
4.5 cm
A= [?] cm
Enter the exact answer as a decimal.
Answer:
The answer is 13.5
Step-by-step explanation:
Given the following geometric sequence, find the 12th term: {2, -4, 8, ...}.
-4096
2048
4096
-2048
Answer: -4096
Step-by-step explanation:
I just did the lesson
help is very much needed
Answer:
-972
Step-by-step explanation:
The next number in the sequence would be the previous number multiplied by 3.
-4*3 = -12
-12*3 = -36
-36*3 = -108
-108*3 = -324
-324*3= -972
Hope this helps! :)
a cylinder has a volume of 400 ft if the height of the cylinder is 25 ft what is the radius of the cylinder
Answer:
r = 2.25733059
round to whatever place your teacher wants.
Step-by-step explanation:
The formula for volume of a cylinder is
V=πr^2h
Plug in what we know
400 = πr^2(25)
divide both sides by 25
16 = π r^2
divide both sides by π (= 3.14)
r^2 = 5.0955414
then take the square root of both sides
r = 2.25733059
round to whatever place your teacher wants.
------------------------------------------
Kind of wishing the volume was 400π, lol. Would be easier to solve.
LMK if you have questions.
Combine the like terms
2g + 15 + 3g + g + g- 18
Answer:
7g - 3
Step-by-step explanation:
2g + 15 + 3g + g + g - 18
2g + 3g + g + g + 15 - 18
7g - 3
Don’t know need help
Answer:
37?
I am SO sorry if this is wrong
Find the y-value when x = 0 in the equation y = 2x + 3.
Answer:
Step-by-step explanation:
Y=2x+3
Y=2(0)+3
Y=3
during a lunch seminar chocolate caramel and strawberry toppings were available how many two-topping
There are 3 two topping sundaes possible.
How many two toppings are possible?It is not crucial to choose the toppings in any particular sequence. For instance, a caramel and strawberry topping is the same as a chocolate and caramel topping. To answer this question, we thus apply the combinations formula.
Mixtures Formula:
C,n,x is the amount of various ways there are to combine x items from a set of n components, as determined by the formula below.
Cn,x = n! / x!(n-x)!
sundaes with two toppings are possible
2 of a set of 3 toppings (chocolate, caramel and strawberry). So
C3,2 = 3! / 2! (3 - 2)! = 3.
Three two-topping sundae combinations are conceivable.
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Round your answer to the nearest hundredth.
B
?
65
А
7.
How many 1/3 ounce cups can be taken from a 30 ounce box of cereal?
Answer:
90 cups
Step-by-step explanation:
Number of cups needed = 30 / (1/3) cups
= 90 cups
Thought process:
1 cup -> 1/3 ounce
3 cups -> 1 ounce
? cups -> 30 ounce
Hence, ? = 30 x 3
= 90
Use the Pythagorean theorem to find the length of the line
Answer:
This is one of my specialties so sit back, relax while I work on this for 5 mins :)
Step-by-step explanation:
The formula is a^2 + B^2 = c^2
Sooo
7^2 + 5^2 = c^2
49 + 25 = 74
√74 = √c^2
8.60232526 = c
8.60232526 rounded to the nearest tenth is 8.6
So there you go. Hope it helps!!