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Whitepunk [10]
3 years ago
14

A university council wants to determine the need for a new staff room. The council conducted a survey of the staff by randomly s

peaking to 860 staff members out of 2,844 staff members. The council found that 70% of those surveyed were in favor of building a new staff room. Assuming a 90% confidence level, which statement holds true?
As the sample size is appropriately large, the margin of error is 0.036.


As the sample size is appropriately large, the margin of error is 0.026.


As the sample size is too small, the margin of error is 0.026.


As the sample size is too small, the margin of error cannot be trusted.

To find a margin of error for a sample proportion, these assumptions must be met, where n is the sample size and is the sample proportion.




First rewrite the proportion of positive responses as a decimal number.




Now substitute the sample proportion and the sample size, 860, into the formulas for the assumptions to determine whether they are met.




Both values are greater than 10, so the assumptions are met, and the margin of error can be calculated.


Find the margin of error using this formula, where z is the critical value.




For a 90% confidence level, . Substitute the values of z, n, and into the formula for margin of error and evaluate.
Mathematics
1 answer:
iogann1982 [59]3 years ago
7 0

Answer:

As the sample size is appropriately large, the margin of error is 0.026

Step-by-step explanation:

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Step 2 - Fill in the missing number: A vertical line and horizontal line combine to make a L shape. There is one row of entries
aivan3 [116]

The synthetic division's representation of the dividend is 2x3 + 10x2 + x + 5.

Given that

An L shape is created when two lines intersect vertically and horizontally.

The shape has entries in two rows.

Entries in row 1 are 2, 10, 1, and 5.

Blank, -10, and 0 are the entries in row 2.

A simplified method of dividing a polynomial with another polynomial equation of degree one is known as synthetic division.

On the exterior, to the left of the form, is entry number 5.

The entry stands for the divisor's zero.

If the variable is x, then this entry to the variable is;

2x³+10x²+x+5

The dividend is thus represented by synthetic division as

2x³+10x²+x+5

The Question is incomplete And complete question is given below!!

What dividend is represented by the synthetic division below? A vertical line and horizontal line combine to make a L shape. There are two rows of entries within the shape. Row 1 has entries 2, 10, 1, 5. Row 2 has entries blank, negative 10, 0, negative 5. Entry negative 5 is on the outside to the left of the shape, and a third row of entries is outside and below the shape. Row 3 has entries 2, 0, 1, 0. Negative 10 x squared minus 5 2 x cubed 10 x squared x 5 2 x squared 1 2 x cubed x.

Learn more about Synthetic division here

brainly.com/question/27979968

#SPJ1

5 0
1 year ago
Point f lies between points g and m. gf =12x+4, fm=16 and gm =16x what is the value of x
Flura [38]

\underset{\leftarrow \qquad \text{\LARGE 16x}\qquad \to }{\stackrel{12x + 4}{G\rule[0.35em]{10em}{0.25pt}} F\stackrel{16}{\rule[0.35em]{16em}{0.25pt}M}} \\\\\\ \stackrel{GF}{12x+4} ~~ + ~~ \stackrel{FM}{16} ~~ = ~~ \stackrel{GM }{16x}\qquad \implies 12x+20=16x \\\\\\ 20=4x\implies \cfrac{20}{4}=x\implies 5=x

8 0
2 years ago
Find the area and perimeter of the shape above
ELEN [110]

Answer:

Perimeter: 18.5

Area: 15

Step-by-step explanation:

P = a + b + c

P = 5 + 6 + 7.5

P= 18.5

A = 1/2bh

A = 1/2*7.5*4

A= 15

5 0
3 years ago
Ashton needs a total of $1.50 in quarter for a coin
Zielflug [23.3K]
Six Quarters Is How Many He Needs
8 0
3 years ago
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The volume of a rectangular box is 2x(2x+4)(2x-2). Which statement about the volume of the box is true
My name is Ann [436]

The answer would be a.) The volume is the product of the area of the base 2x(2x+4) and the height 2x-2

Showed work if needed:

2x(2x-4) × 2x-2 = 4x-8x × 2x-2

                          = 4x-16x-2

                          = 4x+(-16x)-2

                          = -12x-2

                          =24

3 0
3 years ago
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