A large population is bi-modal (like you'd get if you included the heights of
both men and women in the same distribution). samples of size 40 are drawn
and a sampling distribution of the mean values of these samples is
constructed. what's the most likely shape of the sampling distribution of the
sample mean?

The surface area of a sphere with a radius of 10 feet is approximately 1,256 ft².

The surface area of a sphere refers to the total area that covers the surface of the sphere. It is the sum of all the areas of the small flat faces that make up the sphere.

To find the surface area of a sphere with a radius of 10 feet, we need to use the formula:

Surface Area = 4πr²

Where r is the radius of the sphere.

Plugging in the value of r=10 into the formula, we get:

Surface Area = 4π(10) = 400π

Since π is an irrational number, we cannot calculate its exact value. However, we can approximate it to 3.14. Therefore,

=> Surface Area = 400 * 3.14 = 1256

Rounding to the nearest whole number, we get the surface area of the sphere with a radius of 10 feet as 1,256 ft², which is option (a).

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Answer:

4. A

5.C

6.B

7.d

8.d

9.d

10.c

11.A

12.b

13.F

14.g

15.g

16.g

17.A

Step-by-step explanation:

sana po makatulong pa brainlist nadin po :)

The required equation is (1/2)x - 4y = -1 and the value of the missing coefficient is A = 1/2.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

We have been given an equation as

Ax - 4y = -1  ....(i)

Point (6,1) which is given in the question,

Substitute the value of x = 6 and y = 1 in the above equation,

A(6) - 4(1) = -1

A6 -4 = -1 (+4)

A6 = 3 / 6

Reduce the fraction in the above equation,

A = 1/2

Substitute the value of A = 1/2 in the equation (i),

So (1/2)x - 4y = -1

Therefore, the required equation is (1/2)x - 4y = -1 and the value of the missing coefficient is A = 1/2.

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The product of 2/3y and y is \(2/3y^2.\)

The product of 2/3y and y can be found by multiplying the numerators and denominators separately.

To multiply the numerators, we multiply 2 and 1 (since y can be written as y/1).

This gives us 2.

To multiply the denominators, we multiply 3y and 1.

This gives us 3y.

Therefore, the product of 2/3y and y is \(2/3y * y =\)  \(2/3y^2.\)

In general, when multiplying fractions, we multiply the numerators and the denominators separately.

So, if we have a fraction a/b and another fraction c/d, their product would be ac/bd.

However, in this specific case, the expression can be simplified further.

Since we have y in both the numerator and denominator, they cancel out, leaving us with  \(2/3y^2.\)

To summarize, the product of 2/3y and y is  \(2/3y^2.\)

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Answer:

-4,920,000

Step-by-step explanation:

Product means multiplication:

1,230,000(0.4 x 10 - 8)

1,230,000(4 - 8)

1,230,000(-4)

-4,920,000

Answer:

\( \rm Numbers = 4 \ and \ -3.\)

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

\(\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}\)

Hence the numbers are 4 and -3

Let integers be x and x-1

ATQ

\(\\ \sf\longmapsto 2x-1=1\)

\(\\ \sf\longmapsto 2x=1+1\)

\(\\ \sf\longmapsto 2x+2\)

\(\\ \sf\longmapsto x=\dfrac{2}{2}\)

\(\\ \sf\longmapsto x=1\)

Now

\(\\ \sf\longmapsto x-1=1-1=0\)

But

Integers can be x and 1-x as their sum is 1

\(\\ \sf\longmapsto x(1-x)=-12\)

\(\\ \sf\longmapsto x- x^2=-12\)

\(\\ \sf\longmapsto x^2-x-12=0\)

\(\\ \sf\longmapsto x^2-4x+3x-12=0\)

\(\\ \sf\longmapsto x(x-4)+3(x-4)=0\)

\(\\ \sf\longmapsto (x-4)(x+3)=0\)

\(\\ \sf\longmapsto x=4,-3\)

Answer:

since triangle AED similar to ACB

CE=19cm mid point bisect it

BD=32Cm mid point bisect it

Step-by-step explanation:

BC=2DE=2×39=78Cm

The sum of all the angles that are labeled in the given vertex is 294°

In a single vertex, the three angles around the vertex are given as 55°, 64°, and 175°

We have to find the sum of all the angles that are labeled in the given single vertex.

A vertex is a point two or more lines meets.

It is the corner of a geometrical shape.

Example:

A square has 4 corners so it has 4 vertexes.

A cube has 8 corners so it has 8 vertexes.

We will add all the different angles in the single vertex as shown in the figure below.

Let,

Angle A = 55°

Angle B = 64°

Angle C = 175°

The sum of all the angles that are labeled is:

= Angle A + Angle B + Angle C

= 55° + 64° + 175°

= 294°

The sum of all the angles that are labeled in the given vertex is 294°

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Answer:

m = -2

Step-by-step explanation:

1. use the slope formula --> (y2-y1)/(x2-x1)

2. (11 -(-1))/(-8 -(-2))

3. 12/-6

4. m = -2

Answer:

The slope is -2

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 11- -1)/( -8 - -2)

   ( 11+1)/( -8+2)

    12/-6

  -2

Answer: Greater than 10.

First, notice that since we have an isosceles trapezoid, the base angles will be equal, then:

next, we have that the angles adjacent to opposite bases are supplementary, then we can write the following equation:

using the fact that the measure of angle 3 is 60 degrees, we can find the measure of angle 2:

then, since angles 1 and 2 are also base angles, they are equal. Therefore, the measure of the anlges is:

So, The correct match of these quadratic equations are
Equation A has a solution x = 3 and x = 0.

Equation B has a solution x = 2 and x = 4.

Equation C has a solution x = -3 and x = 0.

Equation D has a solution x = 4 and x = 0.

According to the equation

we have given that the some equation with there values of the x and we have to find and match the correct statement with the given values of x.

So, For this purpose, we know that the

The given quadratic equations are:

A. 24x – 6x^2 = 0 and 2x(3x) = 0 with solution x = 0, x = -3

B. 14x – 7x^2 = 0 and 6x(4 – x) = 0 with solution x = 0, x = 4

C. 2x^2+ 6x = 0 and x(4 – x) = 0 with solution x = 0, x = 4

D. 4x – x^2 = 0 and 7x(2 – x) = 0 with solution x = 0, x = 2

And now we solve it

So,

Take A.

24x – 6x^2 = 0 and 2x(3x) = 0

6x(3 -x) = 0 And 6x^2 = 0

here x = 3 and x = 0.

And

Take B.

14x – 7x^2 = 0 and 6x(4 – x) = 0

7x(2 -x) = 0 And 6x(4 – x)= 0

here x = 2 and x = 4.

And

Take C.

2x^2+ 6x = 0 and x(4 – x) = 0

2x(x +3) = 0 And x(4 – x)= 0

here x = -3 and x = 0.

And

Take D.

4x – x^2 = 0 and 7x(2 – x) = 0

x(4 -x) = 0 And 7x(2 – x)= 0

here x = 4 and x = 0.

So, The correct match of these quadratic equations are
Equation A has a solution x = 3 and x = 0.

Equation B has a solution x = 2 and x = 4.

Equation C has a solution x = -3 and x = 0.

Equation D has a solution x = 4 and x = 0.

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The probability that the alleged father was not the father is: 0.024, or 2.4% and The probability that the alleged father could be the father is: 0.953, or 95.3%.

To calculate the probability that the alleged father was not the father, we first need to calculate the z-score for a pregnancy length of 240 days and for a pregnancy length of 306 days. The z-score formula is:

where x is the pregnancy length, mu is the mean pregnancy length, and sigma is the standard deviation of pregnancy length.

For a pregnancy length of 240 days, the z-score is:

For a pregnancy length of 306 days, the z-score is:

To calculate the probability that the alleged father was not the father, we need to find the area under the normal distribution curve to the left of the z-score for a pregnancy length of 240 days and to the right of the z-score for a pregnancy length of 306 days, and then add these probabilities together. Using a standard normal distribution table or calculator, we find that the probability to the left of z = -3.08 is approximately 0.001, and the probability to the right of z = 2.00 is approximately 0.023. Therefore, the probability that the alleged father was not the father is:

To calculate the probability that the alleged father could be the father, we need to find the area under the normal distribution curve between the z-scores for a pregnancy length of 240 days and a pregnancy length of 306 days. Using a standard normal distribution table or calculator, we find that the probability between z = -3.08 and z = 2.00 is approximately 0.953. Therefore, the probability that the alleged father could be the father is:

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Answer:5

Step-by-step explanation: the like moves at and angle bc u started going faster due to running

Answer:

B

Step-by-step explanation:)

Look at the graph it shows her walking the rest don't make sense

Answer:

A) 0

B) 1

C) 36

D) 101

Question:

Given the strings, identify which PA are and their reason (r): Remember: to be a PA the difference between two consecutive terms is always the same and is called the (r) ratio. A) (1, 1, 1, 1, ...) B) (-1, 0, 1, 2, ...) C) (12, 48, 84, 120, ...) D) (101 , 202, 303, 404, ...)

Step-by-step explanation:

PA is said to be the difference between two consecutive terms. The PA is always the same for these terms. It is also called the (r) ratio.

A) (1, 1, 1, 1, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = 1

2nd term = 1

PA = 1-1

PA = 0

B) (-1, 0, 1, 2, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = -1

2nd term = 0

PA = 0- (-1) = 0+1

PA = 1

C) (12, 48, 84, 120, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = 12

2nd term = 48

PA = 48 - 12

PA = 36

D) (101 , 202, 303, 404, ...)

PA = 2nd term - 1st term = 3rd term - 2nd term

Using the 1st and second term

1st term = 101

2nd term = 202

PA = 202 -101

PA = 101

Answer:

y = 3/5x + 1

Step-by-step explanation:

Formula:

y - y1 = m(x - x1)

Plug in:

y - (-2) = 3/5(x - (-5))

Two negatives make a positive:

y + 2 = 3/5(x +5)

Distribute 3/5 to (x + 5):

y + 2 = 3/5x + 3

Get y by itself by - 2:

y = 3/5x + 1

Hope this helps you :)

Answer:

The first one

The fourth one

Step-by-step explanation:

Draw a venn diagram (see picture)

A|C= (A∩C)/C

(6+8)/(6+8+3+4)= 2/3

C|B= (C∩B)/B

(8+3)/(11+5+8+3)= 11/27

A=(12+5+8+6)/(11+5+8+3+4+6+12) = 31/49

C= (4+6+8+3)/(12+5+11+6+8+3+4)=  3/7

P(B|A)= (B∩A)/A

(5+8)/(12+5+6+8) = 13/31

Answer:

A and D

Step-by-step explanation:

edge 2021

Answer:

Hmmmm...I believe the answer is letter D.

Answer:

The correct answer would be $126.00

Step-by-step explanation:

If you see how many times 40% goes into 100%, it would be 2.5 times. Then you multiply the 40% of the overall price ($50.40) times 2.5 and that gives you $126.

Hope this helps!!

Answer:

90 = π/2

45 = π/4

0 and 360 = 0 and 2π

135 = 3π/4

180 = π

225 = 5π/4

270 = 2π/3

315 = 7π/4

315 =

Step-by-step explanation:

Based on the introduction given, the element that is missing from excerpt is the Topic.

The element that is missing in this introduction to the use of Dalmatians by Firefighters is a topic. The topic is the element that would give clues about what the text is about.

The hook is the statement that grabs the reader which in this case is, "What's black, white, and famous for sitting atop firetrucks for centuries?" and there was general information provided on the Dalmatian use by firefighters.

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Answer: Thesis (C)

Step-by-step explanation: Due to the other answer being wrong, topic is out, it has general info, thats out, it has a hook, thats out, meaning the answer must be "Thesis".

The average value of f(x) on [0, 2] is 0.2497.

The formula for the average value of a function f(x) on the interval [a, b] is given by: Average value of f(x) on [a, b] = 1/(b-a) ∫a^bf(x) dx Given, f(x) = e^(-4x) and the interval [0, 2]So, we have to find the average value of f(x) on [0, 2]Using the formula we have, Average value of f(x) on [0, 2] = 1/(2 - 0) ∫0^2 e^(-4x) dx = 1/2 ∫0^2 e^(-4x) dx Let's evaluate the integral now. ∫e^(-4x) dx = -1/4 e^(-4x) + C [ Integrating e^(-4x) with respect to x]Putting the limits in the above equation,-1/4 e^(-4x) [ from 0 to 2] = -1/4 [ e^(-8) - e^0 ] = -1/4 [ 0.0003 - 1 ] = 0.2497 Hence, the average value of f(x) on [0, 2] is 0.2497.  

In this problem, we have to find the average value of f(x) = e^(-4x) on the interval [0, 2].Using the formula for the average value of a function f(x) on the interval [a, b], we have the average value of f(x) on [0, 2] = 1/(2 - 0) ∫0^2 e^(-4x) dx = 1/2 ∫0^2 e^(-4x) dx Evaluating the integral, we get ∫e^(-4x) dx = -1/4 e^(-4x) + C [ Integrating e^(-4x) with respect to x]. Putting the limits in the above equation, we get -1/4 e^(-4x) [ from 0 to 2] = -1/4 [ e^(-8) - e^0 ] = -1/4 [ 0.0003 - 1 ] = 0.2497.

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The probability of x having a value between 80 to 95 is 0.75.

The probability of x having a value between 80 to 95 can be determined by calculating the proportion of the total range of x that falls within that interval. Since x is uniformly distributed between 70 and 90, the probability can be obtained by dividing the width of the desired interval (15) by the width of the entire range of x (90 - 70 = 20).

Using the formula for probability in a uniform distribution, we have:

Probability = (width of interval) / (width of range)

Probability = 15 / 20

Probability = 0.75

Therefore, the probability of x having a value between 80 to 95 is 0.75.

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The random variable x is known to be uniformly distributed between 70 and 90. the probability of x having a value between 80 to 95 is group of answer choices (a)0.05 (b)0.5 (c)0.75 (d)1

The linear modular system {x = 5 (mod 9), x = 1 (mod 11)} can be solved using the Chinese Remainder Theorem. The solution is x ≡ 46 (mod 99).

According to the Chinese Remainder Theorem, we need to find a number x that satisfies both congruences: x ≡ 5 (mod 9) and x ≡ 1 (mod 11).

First, we observe that gcd(9, 11) = 1, indicating that the moduli are relatively prime. To find the solution, we can use the method given in the proof of the Chinese Remainder Theorem.

Let's solve the congruence x ≡ 5 (mod 9) first. We can express 5 as a multiple of 9 plus a remainder: 5 = 0 * 9 + 5. This implies that x = 9k + 5 for some integer k.

Substituting x into the second congruence, we get 9k + 5 ≡ 1 (mod 11). Simplifying this equation, we have 9k ≡ 8 (mod 11). To find the value of k, we can use the extended Euclidean algorithm or by inspection determine that k ≡ 7 (mod 11).

Now, substituting k = 7 into x = 9k + 5, we find x = 9 * 7 + 5 = 68.

To find the general solution, we need to add the modulus of the two congruences, which gives us 9 * 11 = 99. Therefore, the final solution is x ≡ 68 (mod 99).

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Answer:

50.40 cm2

Step-by-step explanation:

Area of the polygon AFGBH = Area of ∆ACF + Area of rectangle FCEG + Area of ∆GEB + Area of ∆ABH

= 3.6 cm2 + 4.32 cm2 + 21.6 cm2 + 6.48 cm2 + 14.4 cm2

= 50.40 cm2

Hence, the required area = 50.40 cm2.

The influence of a small alpha level in the context of hypothesis testing is:

c. A small alpha level reduces the likelihood of a Type I error.

A hypothesis known as the null hypothesis states that sample observations are the result of chance.

The correct statement regarding the influence of a small alpha level in the context of hypothesis testing is:

c. A small alpha level reduces the likelihood of a Type I error.

A small alpha level (typically denoted as α) is the significance level used in hypothesis testing to determine the threshold for rejecting the null hypothesis. By setting a small alpha level, such as 0.01 or 0.05, we are reducing the probability of making a Type I error, which is the incorrect rejection of a true null hypothesis.

In other words, a small alpha level provides a stricter criterion for rejecting the null hypothesis, making it less likely to reject the null hypothesis when it is true. This reduces the likelihood of claiming a significant result when there is no true effect or relationship in the population.

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Answer:

They both equal -5.

Answer:

19.45

Step-by-step explanation:

The median is the middle number.  Put the data in order from smallest to largest

16.3, 17.8,17.8  ,18.0, 18.7,19.3, 19.6,20.1,20.5, 21.9, 25.2 ,25.4

There are 12 pieces of data,

16.3, 17.8,17.8  ,18.0, 18.7,19.3,         19.6,20.1,20.5, 21.9, 25.2 ,25.4

The median lies between the 6th and 7th piece

Add the 6th and 7th together and divide by 2

(19.3+19.6)/2 =19.45

Answer:

\(\large \boxed{\mathrm{19.45}}\)

Step-by-step explanation:

Median of a data set is the middle value.

The data is to be arranged from smallest to largest.

16.3, 17.8, 17.8, 18.0, 18.7, 19.3, 19.6, 20.1, 20.5, 21.9, 25.2, 25.4

Find the middle value.

16.3, 17.8, 17.8, 18.0, 18.7, 19.3, 19.6, 20.1, 20.5, 21.9, 25.2, 25.4

Average the two middle numbers.

(19.3+19.6)/2 = 19.45

The median of the data set is 19.45.