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:

a₇₅ = - 430

Step-by-step explanation:

There is a common difference between consecutive terms, that is

d = 81 - 88 = 74 - 81 = 67 - 74 = 60 - 67 = - 7

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 88 and d = - 7 , then

a₇₅ = 88 + ( 74 × - 7) = 88 - 518 = - 430

The 75th term of the arithmetic progression is -430

What is Arithmetic Progression?

An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"

The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is

Tn = a + (n - 1) d, where Tₙ = nth term and a = first term.

Here d = common difference = Tₙ - Tₙ₋₁

Sum of first n terms of an AP : Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]

Given data ,

Let the Arithmetic progression be = 88 , 81 , 74 , 67 , 60 ...

The first term of the AP is a ₁= 88

Now , the common difference of the AP d = second term - first term

                                                                      = 81 - 88

                                                                      = -7

Now , the nth term of the arithmetic progression is given by ,

Tn = a + (n - 1) d

Substituting the values in the equation , we get

T₇₅ = 88 + ( 75 - 1 ) ( -7 )

     = 88 + 74 ( -7 )

     = 88 - 518

     = -430

Therefore , the value of T₇₅  is  -430

Hence , The 75th term of the arithmetic progression is -430

To learn more about arithmetic progression click :

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Required data:

_______________

| 60 | 105 | 80 | 125 |

| 140 | 95 | 65 | 170 |

----------------------------

Answer:

Mean absolute deviation = 30

Variability of the data about the mean value is 30

Step-by-step explanation:

Mean = Σx / n

n = sample size = 8

Mean = (60 + 105 + 80 + 125 + 140 + 95 + 65 + 170) = 840 / 8 = 105

Mean absolute deviation = Σ|x - mean| ÷ n

( |60-105| + |105-105| + |80-105| + |125 - 105| + |140-105| + |95-105| + |65-105| + |170-105|) / 8

(45 + 0 + 25 + 20 + 35 + 10 + 40 + 65) / 8

240 / 8

= 30

The variability of data about the central point or mean value is 30.

Answer:

B. X

Step-by-step explanation:

the answer is X because access that is -2/5 and we are looking for 6 2/5 so that means that it has to be that one.

Answer:

440 square miles would be the answer :)

Step-by-step explanation:

Answer:

x = 19.8

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

thus, we have it that;

16/28.8 = 11/x

16 * x = 11 * 28.8

x = (11 * 28.8)/16

x = 19.8

4th square = 16

2nd square = 4

16×4

=64

Answer:

Hola que hace

:I

Step-by-step explanation:

Answer:

the slope of the given line is m = rise / run = -1/2

Step-by-step explanation:

Going from (1, -1) to (3, -2), the 'rise' is actually a drop of 1 unit; the 'run' is +2.

Thus, the slope of the given line is m = rise / run = -1/2

Answer:

Step-by-step explanation:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

1+1+1+1+2+3=9

2+4+4+5+6+6+7+8+8=50

50/9=5.55555555556

or

9/50=0.18

Answer:

∠a = 45°

Step-by-step explanation:

We are told that △abc and △xyz are congruent.

Thus;

∠a = ∠x

∠b = ∠y

∠c = ∠z

We are given;

∠y = 90°

Thus, ∠b = 90°

Now,we are told that ∠a is one half the size of ∠b.

Thus; ∠a = ½ × ∠b

∠a = ½ × 90

∠a = 45°

Answer:

its a 1/6 chance

Step-by-step explanation:

each face has a 1/6 chance of being rolled since there are 6 faces

Answer:

120 Jumps per Minute

Step-by-step explanation:

3 Seconds per jump

So we do 60 (seconds in a minute) / 3 (seconds)

We get 20, this is how many times we do the 6 jumps.

Then we simply do 6x20 to get 120 jumps per minute!

I'll answer the second question, we are told student can read 80 words in 5 min, so how many words can he read in a min, all we need to do is 80/5 to get 16 and thats your answer!

16 words per minute

Answer:

Step-by-step explanation:

speed=distance /time=0.9/2.5=90/25=3.6 m/s

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bit.[tex]^{}[/tex]ly/3a8Nt8n

Answer:

b

Step-by-step explanation:

I think I'm not sure I just need to answer a question don't trust me.

Answer:

where is it at

Step-by-step explanation:

sheeeeeeesh

Answer:

i'm pretty sure it's c

Step-by-step explanation:

Answer:

Area is 24, while the height is 6 and the base is 4

Step-by-step explanation:

Answer:

Base=4 cm, Height=6 cm, Area=24 cm sq.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

According to my official calculations of the picture above, A'B'C' is 4x larger than the triangle ABC. Which would mean that ABC' is from a dialation of 4 from the original triangle, ABC.

I can't remember how you put it into the ratio form, but I think its 1:4??????

Answer:

Mean: 43.43

Median: 42

Step-by-step explanation:

Answer:

all except C.

Step-by-step explanation:

Answer: A AND C IT SHOULD BE A BECAUSE IF YOU LOOK AT THE %

Answer:

yes it is I but smaller in size

Answer:

169.56

Step-by-step explanation:

The formula for finding the volume of a cylinder is: πr²h

First step: Plug in the radius and height: π•3²•6

Second step: Plug 3.14 for π: 3.14•3²•6

Third step: Simplify the equation: 3.14•9•6

Fourth step: Multiple to get your final answer: 3.14•9=28.26•6= 169.56

Answer:

5 days

Step-by-step explanation:

Martina has 15 pounds of flour at her bakery

She uses 1/5 of the flour to make cookies everyday

1/5 × 15

= 3

Hence the number of days used to make the cookies can be calculated as follows

= 15/3

= 5

Answer:

65°

Step-by-step explanation:

Properties of a triangle:

To solve:

Answer:

the missing angle is 65

Step-by-step explanation:

a whole triangle is 180

subtract the given angles from 180

  180

-   85

----------

   95

subtract the remaining angle

  95

-  30

---------

  65

~hope this helped :3~

Answer:

where  is the link for the image or the picture of it because I can not see it.

Step-by-step explanation: