Select the correct answer.
As part of a class project, Sarah and Geoffrey conducted a survey asking their peers whether they planned on taking a music class the next year.
of the 90 students they surveyed, 43 responded favorably. Sarah and Geoffrey calculated the margin of error for different confidence intervals.
Their work is shown.
Sarah
Geoffrey
95% confidence:
90% confidence
ME = 1.96
0.48(1 - 0.48)
90
ME = 1.65V
133
Which student incorrectly found the margin of error and why?
A. Sarah incorrectly found the margin of error because she used the wrong critical value.
B. Sarah incorrectly found the margin of error because she used the wrong sample proportion
C. Geoffrey incorrectly found the margin of error because he used the wrong sample size.
D. Geoffrey incorrectly found the margin of error because he used the wrong critical value.

Answer: the 2nd box

Step-by-step explanation:

Answer:

the number of 2 point and number of 3 point be 27 and 8 respectively

Step-by-step explanation:

Let us assume the number of 2 point be x

And, the number of 3 point be y

Now according to the question

2x + 3y = 78

x + y = 35

Multiply by 2 in equation (2)

2x + 3y = 78

2x + 2y = 70

y = 8

So,

x = 35 - 8

= 27

Hence, the number of 2 point and number of 3 point be 27 and 8 respectively

Answer:C=2πA=2·π·1≈3.54491

Step-by-step explanation:

Answer:

119.32

Step-by-step explanation:

The formula for the area of a circle is:

A = πr², where π = 3.14 and r = radius

The formula for the circumference of a circle is:

C = 2πr, where π = 3.14 and r = radius

So, in order to solve for circumference, you need to solve for 'r'.  Using the formula for area:

1134.11 = πr²

Divide by π (3.14): 1134.11/3.14 = πr²/3.14 or 361.2 = r²

Take the square root of both sides: √361.2 = √r² or r≈19

Use the value of r = 19 to solve for circumference:

C = 2π(19) = 2(3.14)(19) = 119.32 meters

Answer:

The number you are looking for is 14.

Answer:

4,200

Step-by-step explanation:

Tenemos un total de:

4 libros de matemáticas

3 libros de biología

3 libros de religión

10 libros en total.

Ahora vamos a contar la cantidad de opciones que tenemos para cada posicion.

Primer libro (tenemos 10 opciones)

segundo libro (tenemos 9 opciones, porque ya colocamos un libro)

tercer libro (tenemos 8 opciones, porque ya colocamos dos libros)

Con esto ya podemos estimar el número de opciones para cada posicion, y sabemos que el número total de combinaciones es igual al producto entre los números de opciones para cada caso. El número total de combinaciones es:

C = 10*9*8*7*6*5*4*3*2*1 = 10!

Ahora si asumimos que no podemos diferenciar los libros de matemáticas, entonces no debemos contar sus permutaciones (si tenemos 4 libros de matemáticas, tenemos 4*3*2*1 permutaciones = 4! permutaciones). Debemos dividir al numero total de combinaciones por 4!.

Y lo mismo pasa para las 3! permutaciones de los libros de biología y las 3! permutaciones de los libros de religión.

Entonces el número total de combinaciones diferentes es:

[tex]C = \frac{10!}{3!*4!*3!} = \frac{10*9*8*7*6*5*4*3*2*1}{(3*2*1)*(4*3*2*1)*(3*2*1)} = 4,200[/tex]

Hay 4200 diferentes formas de ordenar los libros.

Answer:

Step-by-step explanation:

Surface area of a triangular prism

Height = 8cm

12cm

10cm

This given as:

S.A = B + Ph

Answer:

Yay!!!! Ty for the points!!!!!!!!!!!

I don't have a fav character....I luv BTS - they r real!!!

Answer: 42 minutes

Step-by-step explanation:

Answer:

x = Total distance from your home to school = 1,500 meters

Step-by-step explanation:

Let

x = Total distance from your home to school

When you walked 20% of the way to school, you still have 1200 meters more to walk

Walked distance = 20% of x

= 20/100 * x

= 0.2 * x

= 0.2x

Total distance - walked distance = 1200 meters

x - 0.2x = 1200

0.8x = 1200

x = 1200 / 0.8

x = 1,500 meters

x = Total distance from your home to school = 1,500 meters

The exact value of the cotangent of theta in simplest radical form is -21/20.

What is the simplest radical form?

The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.

To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.

Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:

[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]

Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:

cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)

sin(theta) = opposite/hypotenuse = -20/sqrt(1241)

Now we can find the value of cotangent of theta:

cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))

= -21/20

Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.

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Answer:

its 7.5 pi

Step-by-step explanation:

The length of the arc of the particle circle is equal to  23.55 units

The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.

Given here the radius of the circle as 5 units thus the length of the arc which makes an angle of π-π/2=3π/2 is angle subtended at the centre times the radius of the circle

Arc length = 5×3π/2

                  = 15π/2

                  = 15×3.14 /2

                  = 23.55 units

Hence The length of the arc of the particle circle is equal to  23.55 units

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The number of beef sandwich is 48 and vegetarian sandwich is 32.

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given that, total number of sandwiches = 160, ratio of turkey sandwiches to roast beef sandwiches = 5:3. Number of turkey sandwiches = 80

Let the number of turkey sandwich and that of roasted beef sandwich be 5x and 3x respectively,

5x = 80

x = 16

Therefore, number of roasted beef sandwiches = 16 × 3 = 48

Total number of turkey sandwich and beef sandwich = 48 + 80 = 128

The number of vegetarian sandwich = 160 - 128 = 32

Hence, the number of beef sandwich is 48 and vegetarian sandwich is 32.

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Answer: 13?

Step-by-step explanation:

I need help under standing

Answer:

it's four

8×4=32

In the rectangular coordinate system, every point is represented by an ordered pair. The first number in the ordered pair is the x-coordinate of the point, and the second number is the y-coordinate of the point.

Answer:

the answer is 1

Step-by-step explanation:

Answer:

It's really easy, just need to multiply and add the symbol of the multiplication, the answer is: 1

-35+36=1

Answer:

yes , see explanation

Step-by-step explanation:

We require 2 equations with the recurring 3 placed after the decimal point.

let x = 0.7333..  ( multiply both sides by 10 and 100 )

10x = 7.333... → (1)

100x = 73.333.... → (2)

Subtract (1) from (2) , eliminating the recurring 3

90x = 66 ( divide both sides by 90 )

x = [tex]\frac{66}{90}[/tex] = [tex]\frac{11}{15}[/tex]

Answer:

13cm

Step-by-step explanation:

the formula for finding the hypotenuse is:

[tex]c=\sqrt{a^{2} +b^{2} }[/tex]

C is always the longest side of the triangle. In your question, it would be the side without any measurement.

It doesn't matter which side is A and which side is B, so, suppose that A is 12 and B is 5.

Now just solve for C

C=[tex]\sqrt{12^{2} + 5^{2} }[/tex]

C=[tex]\sqrt{144+25}[/tex]

C=13

Therefore, the missing side is 13 cm

Please click the "helpful" button if i helped :)

Answer: 13cm I think

Step-by-step explanation:

Answer:12 out of 9 chances

Step-by-step explanation:

Answer: 9/24 or 3/8(simplified).

Step-by-step explanation:

Okay first let's break it down.

The spinner has a 1/4 chance of landing on blue.

The spinner has a 1/2 chance of landing on red.

The spinner has a 1/4 chance of landing on green.

The spinner has a 3/4 chance of landing on red or blue

The spinner has a 3/4 chance of landing on red or green.

The spinner has a 1/2 chance of landing on blue or green.

A 6-sided die has a 1/2 chance of landing on either even or odd.

The question first asks the probability of spinning a red or blue.

So first, you need to know how many parts of the spinner of the four sections are red and blue. It's 3/4. There are 3 even numbers on a six-sided die so that's 3/6 or 1/2. Next, multiply these probabilities to get 9/24 or 3/8.

Answer:

125e^12x

Step-by-step explanation:

5^3*(e^4x)^3

5^3=125

(e^4x)^3=e^12x

125e^12x

Answer:

your answer is A.

Step-by-step explanation:

1280%20=256

256 x 45=115.20

hope this helps<3

Answer: A.90 cm^2

Step-by-step explanation: A= a+b/2 h

A= 17.5+12.5/2 *6

A = 30/2*6

A= 15*6

A=90

Answer:

The width of the interval would increase.

Step-by-step explanation:

Answer:

that statement is true

is this the answer you are looking for?

Answer:

True

Step-by-step explanation:

Answer:

y=0.25x-1

Step-by-step explanation:

y=mx+b

slope = 0.25

y = 0.25x+b

the y intercept = -1

y = 0.25x+-1

y = 0.25x-1

Answer:

    40m i think

Step-by-step explanation:

Answer:

57cm^3

i belive this is right.

Answer:

31.2

Step-by-step explanation:

Divide 4/15= 2.66

12x2.6= 31.2

This might be wrong..

You know the answer is the third choice (C) because 7^2 is 49 and 8^2 is 56, the two closest squared numbers to 54.

49 < 54 < 56

The square root of 54 is  roughly 7.4

I hope that helps :)