Answer:
True
Step-by-step explanation:
By sampling a larger proportion of Mississippi's population, the percentage of people who wear seatbelts in Mississippi surveys would be closer and nearer to the population proportion.
The rule of large numbers states that if we collect samples of increasing size from every population (here, Mississippi vs. Washington WA state), the sampling distribution's mean, px, continues to get closer and nearer to the actual true population proportion (p).
Recall that as n becomes greater, the sample mean obeys a normal distribution because of the Central Limit Theorem. However, as (n) rises, the sampling distribution's standard deviation reduces.
where:
sampling proportion's standard deviation = [tex]\sqrt{\dfrac{p((1-p)}{n}}[/tex]
If n rises, the sample proportion [tex]P_x[/tex] have to get nearer to the population proportion P.
For both counties, the sample size is 1000, but the true population varies. According to the provided statement, the true population of Mississippi (3 million) is less than that of Washington State (7.5 Million). As a result, we can confidently assume that our sampling proportion in Mississippi seems to be much closer to the true actual population than our sampling proportion in Washington state.
Find the midpoint and distance between (-3,10) and (15,-2)
What is the equation of the line that passes through the point (7, -4) and has an
undefined slope?
The table below shows the number of bacteria in a laboratory sample after x minutes. Fill in the missing blanks (HELP!!!)
Answer:
2.25
4.5
9
18
36
72
144
288
Step-by-step explanation: you take the number and multiply it by itself. but went it comes to the negative numbers you have to divide the number by 2 then take the answer you get from that and add it by itself so 4.5+4.5=9. its pretty simply when you under stand how to do it.
5. Two Friends Kofi and tayo own a Store. The ratio of kofi Share to tayo's Share Is N120.00, Its 11:9 Of Tayo's Calculate the value of the Store
Answer:
Step-by-step explanation:
Which equation can be used to find B in the triangle below?
Right triangle A B C is shown. Side A B has a length of 6, side B C has a length of 10, and side A C has a length of 8.
The measure of angle B is 53°.
The equation used to find B is
B = [tex]sin^{-1}[/tex](4/5).
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Right triangle ABC.
AB = 6
BC = 10
AC = 8
In order for the triangle to be a right triangle it must satisfy the Pythagorean theorem.
So,
BC² = AB² + AC²
100 = 6² + 8²
100 = 36 + 64
100 = 100
This means,
B
| \
| \
| \
A_________C
Now,
Sin B = 8/10 = 4/5
B = [tex]sin^{-1}[/tex] (4/5)
B = 53°
Sin C = 6/10 = 3/5
C = [tex]sin^{-1}[/tex] (3/5)
C = 37°
We see that,
∠A + ∠B + ∠C = 180
90 + 53 + 37 = 180
90 + 90 = 180
180 = 180
Thus,
The equation used to find B is
Sin B = AC / BC = 8/10
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Answer:
Tangent B=8/5
Step-by-step explanation:
Just look at the answer
The distribution of the amount of money undergraduate students spends on books for a term is slightly right-skewed, with a mean of $400 and a standard deviation of S80. If a simple random sample of 100 undergraduate students is selected, what is the probability that these students spend, on average, more than $425 on books?
The probability that on average these students spend more than $425 on books is given as follows:
0.0009 = 0.09%.
How to obtain the probability using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters for this problem are given as follows:
[tex]\mu = 400, \sigma = 80, n = 100, s = \frac{80}{\sqrt{100}} = 8[/tex]
The desired probability is one subtracted by the p-value of Z when X = 425, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{425 - 400}{8}[/tex]
Z = 3.125.
Z = 3.125 has a p-value of 0.9991.
1 - 0.9991 = 0.0009 = 0.09%.
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the set {...,-2,-1,0,1,2...} is called what?
Answer: Set of integers
Integers are positive and negative whole numbers, with 0 included.
Answer: Set of Integers
Step-by-step explanation:
{...,-2,-1,0,1,2...}
since we can see that here is a zero as well as positive and negative numbers, therefore, we call this set, a set of integers.
hope that helps...
Simplify and state restrictions
5x³3y² ÷ 27x × 9xy ÷ 25x²y²
The simplified form of the expression 5x³3y² ÷ 27x × 9xy ÷ 25x²y² is
[1/15(xy)³] and (x, y) ≠ 0.
What is a numerical expression?A mathematical statement expressed as a string of numbers and unknowable variables is known as a numerical expression. Statements can be used to create numerical expressions.
Given, An expression 5x³3y² ÷ 27x × 9xy ÷ 25x²y².
= 5x³3y² ÷ 243x⁴y³ ÷ 25x²y².
= 5x³3y² ÷ 25x²y² ÷ 243x⁴y³.
= (3/5)x ÷ 243x⁴y³.
= (3/5)x/(243x⁴y³).
= (3/5)/(243x³y³).
= 1/(81×5x³y³).
= [1/15(xy)³].
The restriction should be x and y can not be equal to zero as it would make the expression undefined.
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If g(x) = x³ - 2x, find the value of g(2+h)-g(2)dividebyh answer is h square plus six h plus ten
Answer: To find the value of g(2+h)-g(2) divided by h, we can use the definition of the derivative. The derivative of a function at a point is a measure of the slope of the function at that point, and it can be calculated by taking the limit of the difference quotient as h approaches 0.
The difference quotient is defined as:
[g(2+h) - g(2)] / h
So, to find the derivative of g at x=2, we can substitute the value of x in the function g(x) and take the limit as h approaches 0:
lim h→0 [g(2+h) - g(2)] / h
Substituting the value of x in the function g(x), we get:
lim h→0 [(2+h)³ - 2(2+h) - (2² - 2*2)] / h
This simplifies to:
lim h→0 [8+6h+h²-2h - 4] / h
Which simplifies to:
lim h→0 [h²+6h+4] / h
And, finally:
lim h→0 [h(h+6)] / h
The limit of a quotient is equal to the quotient of the limits, as long as the limit of the denominator is not 0. In this case, the limit of the denominator (h) is 0, but the limit of the numerator (h(h+6)) is not. Therefore, we can safely take the limit:
h+6
So, the derivative of g at x=2 is h+6. When h=0, the derivative is equal to the function's value at that point, so the value of g(2) is 6.
Therefore, the value of g(2+h)-g(2) divided by h is:
(h+6) - 6 / h
Which simplifies to:
h / h
Which is equal to:
1
So, the final answer is 1.
Step-by-step explanation:
Suppose that R, S and T are digits and that N is the four-digit positive integer
8RST. That is, N has thousands digit 8, hundreds digit R, tens digits S, and ones
(units) digit T, which means that N = 8000 + 100R + 10S + T. Suppose that the
following conditions are all true:
• The two-digit integer 8R is divisible by 3.
• The three-digit integer 8RS is divisible by 4.
The four-digit integer 8RST is divisible by 5.
The digits of N are not necessarily all different.
The number of possible values for the integer N is
(A) 8
(B) 16
(C) 12
(D) 10
87
(E) 14
Answer:
8RST. That is, N has thousands digit 8, hundreds digit R, tens digits S, and ones
(units) digit T, which means that N = 8000 + 100R + 10S + T. Suppose that the
following conditions are all true:
• The two-digit integer 8R is divisible by 3.
• The three-digit integer 8RS is divisible by 4.
The four-digit integer 8RST is divisible by 5.
The digits of N are not necessarily all different.
The number of possible values for the integer N is
(A) 8
(B) 16
(C) 12
(D) 10
87
(E) 14
Since 8R is divisible by 3, R must be a multiple of 3. The possible values for R are 3, 6, and 9.
Since 8RS is divisible by 4, S must be a multiple of 2. The possible values for S are 0, 2, 4, 6, and 8.
Since 8RST is divisible by 5, T must be 0 or 5.
The possible values for N are therefore:
8000 + 300 + 00 + 0 = 8300
8000 + 600 + 00 + 0 = 8600
8000 + 900 + 00 + 0 = 8900
8000 + 300 + 20 + 0 = 8320
8000 + 600 + 20 + 0 = 8620
8000 + 900 + 20 + 0 = 8920
8000 + 300 + 40 + 0 = 8340
8000 + 600 + 40 + 0 = 8640
8000 + 900 + 40 + 0 = 8940
8000 + 300 + 60 + 0 = 8360
8000 + 600 + 60 + 0 = 8660
8000 + 900 + 60 + 0 = 8960
8000 + 300 + 80 + 0 = 8380
8000 + 600 + 80 + 0 = 8680
8000 + 900 + 80 + 0 = 8980
8000 + 300 + 00 + 5 = 8305
8000 + 600 + 00 + 5 = 8605
8000 + 900 + 00 + 5 = 8905
8000 + 300 + 20 + 5 = 8325
8000 + 600 + 20 + 5 = 8625
8000 + 900 + 20 + 5 = 8925
8000 + 300 + 40 + 5 = 8345
8000 + 600 + 40 + 5 = 8645
8000 + 900 + 40 + 5 = 8945
8000 + 300 + 60 + 5 = 8365
8000 + 600 + 60 + 5 = 8665
8000 + 900 + 60 + 5 = 8965
8000 + 300 + 80 + 5 = 8385
8000 + 600 + 80 + 5 = 8685
8000 + 900 + 80 + 5 = 8985
There are a total of 30 possible values for N. The answer is therefore (E) 14.
Step-by-step explanation:
5
Jasmine is a receptionist at a doctors office. She books 36 appointments each day.
Four out of every 24 appointments are cancelled. How many appointments are cancelled
each day?
6
Kendrick's Kennel has 2/spots for cats for every spots for dogs. If he has a total of
(144 spots for both cats and dogs, then how many more spots does he have for dogs
Answer:
5. 6 appointments are cancelled
6. 80 more spots
Step-by-step explanation:
5. Jasmine has 36/24 = 1.5 times as many appointments as cancellations each day.
Since 1.5 times 4 is 6, Jasmine has 6 cancellations each day.
6. Kendrick's kennel has 2 spots for cats for every 7 spots for dogs. If he has a total of 144 spots for both cats and dogs;
Spots for cats = 2x ;
So, spots for dogs will be = 7x ;
Total spots for cats and dogs will be = 2x + 7x = 144 ;
x = 144/9 = 16 ;
So, spots for cats = 2 * 16 = 32 ;
Spots for dogs = 7 * 16 = 112 ;
spots for dogs more than cats are = 112 - 32 = 80 .
Kendrick kennel has 80 more spots for dogs than cats.
The area of a rectangular room is 750 square feet. The width of the room is 5 feet less than the length of the room. Which equations can be used to solve for y, the length of the room? Select three options. y(y + 5) = 750 y2 – 5y = 750 750 – y(y – 5) = 0 y(y – 5) + 750 = 0 (y + 25)(y – 30) = 0
Answer:
B, C, E
Step-by-step explanation:
Let y = length.
Then, y - 5 = width.
area = length × width
area = y(y - 5)
area = 750
y(y - 5) = 750
y² - 5y = 750
A: y(y + 5) = 750
Since y = length, width must be y - 5, not y + 5, so A does not work.
B: y² - 5y = 750
This is what we got above, so this equation works.
C: 750 - y(y - 5) = 0
750 = y(y - 5)
750 = y² - 5y
This is the same as B and works.
D: y(y - 5) + 750 = 0
y(y - 5) = -750
The area cannot be -750, so this equation does not work.
E: (y + 25)(y - 30) = 0
y = -25 or y = 30
This also works.
Answer: B, C, E
helppppppppo please
Step-by-step explanation:
the area of a trapezoid is
(a + b)/2 × x
a and b being the 2 bases. and x, as requested, is the height.
A
it does not matter which base is which, as long as we keep using them consistently.
so, let's assume a is the first base :
a = x + 5
and then for the second base
b = 2x - 1
now we use that in the main formula :
(x + 5 + 2x - 1)/2 × x = (3x + 4)/2 × x = (3x² + 4x)/2
A = (3/2)x² + (4/2)x = (3/2)x² + 2x ft²
B
now the height is increased by 4 ft.
that means we need to replace x by x + 4.
(3/2)(x+4)² + 2(x+4) = (3/2)(x² + 8x + 16) + 2x + 8 =
= (3/2)x² + (24/2)x + (48/2) + 2x + 8 =
= (3/2)x² + 12x + 24 + 2x + 8 =
= (3/2)x² + 14x + 32 ft²
with x being the original height, of course.
4 out 18 students will ride in a car instead of a van
What is the meaning of conditionally promoted in school
In triangle ABC, the measurement of angle A is is greater then the measurement of angle C, then BC> AC is this conditional true? If so, why?
Using the law of sines, it cannot be affirmed whether the conditional is true or false, as we have no information about the measure of angle B.
What is the law of sines?We suppose a general triangle, for which:
Side with a length of a is opposite to angle of measure A.Side with a length of b is opposite to angle of measure B.Side with a length of c is opposite to angle of measure C.The lengths and the sine of the angles are proportionally related as follows:
[tex]\frac{\sin{A}}{a} = \frac{\sin{B}}{b} = \frac{\sin{C}}{c}[/tex]
The segments in this problem are given as follows:
BC opposite to angle A.AB opposite to angle C.Hence it can be affirmed that:
BC > AB.
As the measure of angle A is greater than the measure of angle C, hence sin(A) > sin(C) and BC > AB, using the proportional relationship.
As for segment AC, we need the measure of angle B, hence nothing can be affirmed.
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1000(9x-10)=50(976+100x)
What are the origins of matrices?
Answer: The origins of matrices can be traced back to the 18th century, with the work of mathematicians such as Gabriel Cramer, Leonhard Euler, and Joseph-Louis Lagrange. These mathematicians developed the idea of using arrays of numbers to represent systems of linear equations, which led to the development of the concept of matrices.
The term "matrix" itself was first used by James Joseph Sylvester in 1850, although it had been in use informally for some time before then. In 1858, the English mathematician Arthur Cayley first published a systematic theory of matrices, which further developed the field.
Matrix theory was primarily used in the early days to solve systems of linear equations, but it soon found applications in areas such as linear algebra, multivariate statistics, and even quantum mechanics.
In summary, the origins of matrices can be traced back to the 18th century as an idea to represent systems of linear equations, which developed over time with contributions of many mathematicians over the centuries, and now it plays an important role in many field of mathematics and science.
Step-by-step explanation:
Give an example of Limit of a Polynomial Function.
Note; With explanation po sana.
Pa help po pls.. I'll mark as brainliest for the one who can answer.
An example of limit in polynomial will be the polynomial function f(x) = x³ + 2x² - 5. As x approaches 2, the value of the function approaches 11. So, the limit of f(x) as x approaches 2 is 11.
What is a polynomial?A polynomial simply means an expression which is composed of variables, constants and exponents, which are combined using mathematical operations such as addition, subtraction, multiplication and division
In mathematical notation, we can write it as: Here, lim x->2 (x³ + 2x² - 5)
= x³ + 2x² - 5
= 2³ + 2(2²) - 5
= 8 + 8 - 5
= 11
This means that as x gets arbitrarily close to 2, the values of the function gets arbitrarily close to 11.
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It took Luca 8 hours to drive 464 miles from Richmond VA to Cleveland, OH. In miles per hour, what was Luca's average trip?
-process
Luca's average trip will be 58 miles per hour.
How to calculate the speed?Speed is the rate at which an object's location changes in a particular direction. The distance traveled on relation changes to a particular direction. The distance in relation to the time it took to travel the distance is the speed. It's a scalar quantity.
In this case, it took Luca 8 hours to drive 464 miles from Richmond VA to Cleveland, OH. In miles per hour, Luca's average trip will be:
= Distance / Time
= 464 / 8
= 58 miles per hour.
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Use the rule x+8 to write a sequence of numbers. Then write the sequence as a list of ordered pairs. Start with and substitute at least six values for .
Answer:
Here is a sequence of numbers using the rule "x+8":
x+8=9 (x=1)
x+8=10 (x=2)
x+8=11 (x=3)
x+8=12 (x=4)
x+8=13 (x=5)
x+8=14 (x=6)
Here is the sequence of ordered pairs:
(1, 9)
(2, 10)
(3, 11)
(4, 12)
(5, 13)
(6, 14)
Identify the range of the function shown in the graph. 10 . 0 <= y <= 5 B. y > 0 . y is all numbers D - 5 <= y <= 5
The range of the absolute function will be from 0 to 9. Then the correct option is A.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
If the vertex of the absolute function is at (h, k). Then the absolute function is given as
f(x) = | x - h| + k
The domain means all the possible values of x and the range means all the possible values of y.
From the graph, the range of the absolute function will be from 0 to 9.
Then the correct option is A.
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The complete question is attached below.
Determine whether the equation below has a one solutions, no solutions, or an
infinite number of solutions. Afterwards, determine two values of x that support your
conclusion.
X
6
-
X
The equation has Select an option
0
attempt 1 out of 2
The equation has one solution.
A value of x that makes the equation true is 6 which when substituted into the equation and simplified makes the equation turn into x = 0.
A value of x that makes the equation false is 8 which when substituted into the equation and simplified makes the equation turn into x = 2.
How to evaluate the equation?From the information provided, we have the following equation:
x - 6 = 6 - x
Rearranging the equation by collecting like terms, we have the following solution:
x + x = 6 + 6
2x = 12
x = 12/2
x = 6
Substituting the value "6" into the equation, we have the following solution;
x - 6 = 6 - 6
x - 6 = 0
Assuming x = 8, we have the following solution;
x - 6 = 8 - 6
x - 6 = 2
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Complete Question:
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. Afterwards, determine two values of x that support your conclusion.
x - 6 = 6 - x
The equation has _____.
A value of x that makes the equation true is ___ which when substituted into the equation and simplified makes the equation turn into ____.
A value of x that makes the equation false is ___ which when substituted into the equation and simplified makes the equation turn into ___.
A(n)___ is a convex in which both pairs of opposite side are parallel
4th option: parallelogram
Carmen and her dog, Duke, walk 5 blocks in 8 minutes. Terell and his dog, Lady, walk 8 blocks in 12 minutes. Who walks at a slower rate? How long whould it take that person to walk 12 block?
Carmen and her dog, Duke walked at a slower rate at 0.625 blocks/min
Carmen and her dog, Duke would take 19.2 minutes to work 12 blocks.
What is rate?In math, a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate. The word "per" can be further replaced by the symbol "/" in problems.
Carmen/Duke walks 5/8 = 0.625
Terell/Lady walks 8/12 = 0.677
Therefore, from the average time, Carmen and Duke walk slower.
Carmen and Duke will walk 12 blocks in;
= 12/0.625
= 19.2 minutes
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You are dealt one card from a 52-card deck. Find the probability that you are not dealt a jack or a ten
If you are dealt one card from a 52-card deck. The probability that you are not dealt a jack or a ten is 12/13.
How to find the probability?Since there are 4 aces in a deck of card 52 first step is to find the number of cards not aces in a deck of 52
Number of cards not aces in a deck = 52 -4
Number of cards not aces in a deck = 48
Now let find the probability that you won't draw an ace.
Probability = 48/52
Probability = 24/26
Probability = 12/13
Therefore we can conclude that the probability is 12/13.
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please help me thank you.
Answer:
62 degrees.
Step-by-step explanation:
I think this because it appears that ABC makes a 90 degree angle and I would think that you would just subtract 28 from 90 and get 62.
Hope it helps! =D
4 3/5+ 2 2/3= l need someone to help me out
Richard has 11 markers in a backpack. One of them is red and one is purple. What is the probability Richare
will reach into the backpack without looking and grab the red marker and then reach in a second time and
grab the purple marker if:
(a) the first marker is not replaced?
(b) the first marker is replaced?
Express your answers as fractions in simplest form.
The probability Richard marker is 11.The probability of anything occurring is known as probability.
How are probabilities calculated?The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.
The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.
The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.
According to question:-
11/1 = 11
11/1 = 11
The probability Richard marker is 11.The probability of anything occurring is known as probability.
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Solve the differential equation dy/dx=(1+y²)e^x ?
This is a separable differential equation, which means we can separate the variables y and x on either side of the equation. To do this, we'll move all the terms involving y to one side and all the terms involving x to the other side.
dy/dx = (1+y²)e^x
We'll divide both sides by (1+y²)e^x:
dy/(1+y²)e^x = dx
Now we'll integrate both sides with respect to their respective variables. The integral of dy/(1+y²) with respect to y is the inverse tangent (tan^-1) function, so we'll use that on the left side:
∫ dy/(1+y²) = ∫dx + C
tan^-1(y) = x + C
On the right side, we'll integrate e^x with respect to x, which gives us e^x. So we have:
tan^-1(y) = e^x + C
We can solve for y by reversing the tan^-1 function:
y = tan(e^x + C)
Where C is an arbitrary constant of integration.
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