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
0.48(1 - 0.48
ME = 1.96 V
90
(8) 1 - 3
ME = 1.65V
133
Which student incorrectly found the margin of error and why?
O A Geoffrey incorrectly found the margin of error because he used the wrong critical value.
OB. Geoffrey incorrectly found the margin of error because he used the wrong sample size.
OC. Sarah incorrectly found the margin of error because she used the wrong sample proportion.
OD. Sarah incorrectly found the margin of error because she used the wrong critical value.

Answer:

130

Step-by-step explanation:

Hello There!

An included angle is equal to half the measure of its included arc

So more specifically for this circle

∠mABC = [tex]\frac{1}{2}[/tex] arc(mAB)

So in order to find the value of x we are going to want an equation

Because angle ABC is equal to 1/2 of arc AB we are going to want to multiply angle ABC's expression by two

So 2(3x+32) = 10x+20

now we solve for x

step 1 distribute the 2

2 * 3x = 6x

2 * 32 = 64

now we have

6x + 64 = 10x + 20

step 2 subtract 20 from each side

64 - 20 = 44

20 - 20 cancels out

now we have 6x + 44 = 10x

step 3 subtract 6 x from each side

10x - 6x = 4x

6x - 6x cancels out

now we have 44 = 4x

step 4 divide each side by 4x

44/4=11

4x/4=x

we're left with x = 11

finally we want to plug in 11 to x for (10x+20)

10(11)+20

10*11=110

110+20=130

so arc ab = 130

Answer:

AB = 130

Step-by-step explanation:

So, according to a certain theorem to do with arcs and their angles, If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is one half the measure of its intercepted arc.

In this case, the ARC is AB, and the angle is CBA.

CBA = 3x+32

AB = 10x+20

And,

[tex]CBA = \frac{1}{2} AB[/tex]

Now,

[tex]3x+32=\frac{1}{2} (10x+20)[/tex]

[tex]3x+32=5x+10\\32=2x+10\\22=2x\\11=x[/tex]

Now we can substitute x into the equation that equals AB

[tex]10(11)+20 \\=110+20\\=130[/tex]

So, the answer is 130, sorry I took a while, the explanation takes a long time to do lol.

Have a nice day fam. Spread The Love.

Answer: p=60

Step-by-step explanation: Hope this help :D

Answer:

Step-by-step explanation:

Answer:

B then A

Step-by-step explanation:

Domain is B, range is A.

Answer:

Center: ( -6,5) Radius: 7

Step-by-step explanation:

I hope this helps!

Answer:

radius =  9

C:(9,3)

Step-by-step explanation:

The error interval for x would be (3.65, 3.75), indicating that the true value of x lies within this range.

Given that a number x is rounded to 1 decimal place and its 3.7.

We need to find the error of the interval for x,

To determine the error interval for the rounded number 3.7, we need to consider the possible range of values that could have been rounded to 3.7 when rounded to 1 decimal place.

When rounding to 1 decimal place, we look at the digit immediately to the right of the decimal point. If this digit is 5 or greater, we round up. If it is less than 5, we round down.

In this case, 3.7 is the rounded value, which means the original number could have been rounded up from a value greater than or equal to 3.65 or rounded down from a value less than 3.75.

Therefore, the error interval for x would be (3.65, 3.75).

Learn more about error interval click;

https://brainly.com/question/30473763

#SPJ4

Answer:

15 + 2=

17

Step-by-step explanation:

Answer: 3 x 2 + 13 x - 10

Step-by-step explanation:

:)

Answer:

Below in bold.

Step-by-step explanation:

Degrees = radians * 180/π.

6. 3.8 radians = 3.8 * 180 / π

    = 217.7 degrees to nearest hundredth.

8. 5π/4 radians = 5π/4 * 180/π

     =  5*180/4

     =  225 degrees.

Answer:

lgma

Step-by-step explanation:

Answer:

Is it 41, 42, 43, 44, 45, 46, 47, 48 or 49?

Answer:

its clearly 77

Answer:

-9

Step-by-step explanation:

Answer:

Yes, I agree. Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.

Step-by-step explanation:

First, we will calculate the area of the piece of wood Heather has

Area (A) = Length (l) × Width (w)

From the question, l = 14 inches and w = 13 inches

A = 14 inches × 13 inches

A = 182 squares inches

Hence, the area of the piece of wood is 182 square inches

Now, we will calculate the total surface area of the box she desires to make

Area (A) of a box is given by

A = 2lw + 2lh + 2wh

Where l is the length

w is the width and

h is the height

She wants to make a box with a height of 3 inches and bases measuring 6.5 inches by 6.5 inches.

i.e h = 3 inches, l = 6.5 inches and w = 6.5 inches

∴ A = 2(6.5×6.5) + 2(6.5×3) + 2(6.5×3)

A = 84.5 + 39 + 39

A = 162.5 square inches

Hence, the area of the box she wants to make is 162.5 square inches

Since the area of the piece of wood is greater than the area of the box she wants to make, then she has enough wood to make the box.

Answer:

Yes

Step-by-step explanation:

Answer:

your answer will be J. Y=-8

Step-by-step explanation:

Y=mx+b (6, -8)

(-8)= 0(6) +b

(-8)= 0+b

(-8)= b

Y=0(6)-8

y=-8

o saw this question om edge its b

Answer:

72 square units

Step-by-step explanation:

To get these, we will use the attached diagram as a case study

Since each cube is 1cubic unit, hence the length of the side of a cube is 1unit

From the diagram

Length  = 6units

Width = 3 units

Height = 4units

Volume of the prism = Length * Width * Height

Volume of the prism = 6 * 3 * 4

Volume of the prism = 18 * 4

Volume of the prism = 72 sq.units

Hence the volume of the prism is 72 square units

Answer:

I think it's 88.

Step-by-step explanation:

4 x 11 = 44

8 × 11 = 88

Hope that helped :)

Answer:

9x+6

Step-by-step explanation:

I think by equivalent, you mean solve it.

5x+(x+6)+3x

5x+x+6+3x, open the parenthesis

9x+6, add up the like terms

Answer:

Blank above the 3: 9

Blanks underneath the 593: 540

Blanks underneath the line: 53

Blank by the "R": 53

Step-by-step explanation:

Simply divide.

Answer:

Those numbers are -18 and -2

Explanation:

(-18)*(-2)=36

-18+(-2)=-18-2=-20

Answer:

x*y=36

x+y=-20

so it would be -18 and -2, :)

Step-by-step explanation:

Answer:

(35 * 3)

Step-by-step explanation:

Given the box with dimension : 3ft * 7ft * 5ft

The volume of the box is :

Length * width * height

(3feets * 7 feets * 5 feets) = 3 * 7 * 5 = 105 feet³

From the options given, the expression which could be used to correctly find the volume would be :

(7 * 5) * 3 = 35 * 3 = 105 ft³

Answer:

5n + 5a

Step-by-step explanation:

This would be your simplified algebra expression.

Answer:

The distributive property tells us how to solve equations in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Normally when we see an equation like this … 4(8+3) distributive property format 4(8+3) -> 4(11) -> 44 we just evaluate what’s in the parentheses first, then solve it: 4(8+3)=4x8 + 4x3=44 These are the 2 methods

Step-by-step explanation:

Answer:

-4x³ + 9x² + 2x + 24

Step-by-step explanation:

To find how much great is the volume of the larger rectangular prism  than the smaller prism, we need to subtract

Volume of larger rectangular prism - Volume of smaller prism =

= x³ + 3x² - 4x + 7 - (5x³ - 6x² - 6x - 17)

To remove the parenthesis,multiply each term of the smaller prism by (-1)

= x³ + 3x²- 4x + 7 - 5x³ + 6x²  + 6x + 17

= x³  -5x³ + 3x² + 6x² - 4x + 6x +7 + 17      {Combine like terms}

= -4x³ + 9x² + 2x + 24

Answer:

Unlikely = greater Than 0 ; less than

Likely = greater than 0.5 ; less than 1

Neither likely nor unlikely = 0.5

Step-by-step explanation:

Probability values usually range between standardized values between 0 and 1. With values closer to 1 depicting greater possibilities of an event. Probability value of zero means certain and probability value of 0 zero means.impossible.

Using this standardized values :

An unlikely event is more of not occurring than occurring (that is the event has higher chances of not happening) ;

Hence; We can categorize unliky events to range from below the mid value to greater Tha.n 0

Unlikely event : greater Than 0 ; less than 0.6

Events with probability above the mid value of 0.5 have higher chances of occurring (greater likelihood) hence, Probability is greater than 0.5 but less than 1.

Neither likely nor unlikely event will take the boundary point between likely and unlikely = 0.5

Answer:

the function f(x) = 2x - 1 indicates:

a downward shift of 1 unit

as the y-intercept: (0, -1)

Answer:

14

Step-by-step explanation:

25 percent of 56 is 14

Step-by-step explanation:

100%=56

1%=56÷100=0.56

25%=0.56×25=14