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bezimeni [28]
2 years ago
12

a senator wishes to estimate the proportion of united states voters who favor new road construction. what size sample should be

obtained in order to be 95% confident
Mathematics
1 answer:
Nitella [24]2 years ago
8 0

The  size of the sample should be obtained at 2401 in order to be 95% confident

Given that:

Margi of error, ME=0.02

Population proportion, p=0.50

To Find: The size of the sample that should be obtained in order to be 95% confident

Let the size of the sample be n

Using formula,

n=(p*(1-p))*(z(0.05/2)/ME)^{2} \\n=(0.5*(1-0.5))*(1.96/0.02)^{2} \\n=0.25*9604\\n=2401

Therefore, the size of the sample should be obtained at 2401 in order to be 95% confident

Learn more about Population proportion here brainly.com/question/15703406

#SPJ4

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For what values of x∈[0,2π] does the graph of y=x+2cosx have a horizontal tangent?
Katen [24]

Answer: x = pi/6 and x = pi/3.

Step-by-step explanation:

We have the function:

y = x + 2*cos(x)

It will have a horizontal tangent at the point where it's derivate is equal to zero.

Then first let's differentiate y.

y' = dy/dx = 1 - 2*sin(x).

Then we must find the value of x between 0 and 2*pi (or 0° and 360°)

y'(x) = 1 - 2*sin(x) = 0.

Let's solve that:

2*sin(x) = 1

sin(x) = 1/2.

We know that:

sin(30°) = 1/2.

and

Sin(120°) = 1/2

Then let's convert 30° into radians.

We know that:

pi = 180°.

Then:

pi/180° = 1.

30° = 30°*(pi/180°) = (30°/180°)*pi = (3/18)*pi = pi/6

120° = (120°/180°)*pi = (12/18)*pi = (1/3)*pi = pi/3.

Then the two values of x are: pi/6 and pi/3.

3 0
3 years ago
Triangle XYZ is reflected across the y-axis, and X = (4,-5). What are the coordinates of X’ ?
adelina 88 [10]
The correct answer is B.

You can come to this decision by picturing the initial point in your mind. Point X has a positive x-value and a negative y-value. This puts it in quadrant 2 on the coordinate plane. Now, if you flip that point over the y-axis, that makes its new location in quadrant three. In quadrant three, both the x and y coordinates are negative. So, the value wouldn’t change but both would become negatives.

I hope this helps. :)
6 0
3 years ago
a farmer produced 47581 2 oranges of one kind and 651 65 oranges of another kind He mixed these oranges and packed in 296 boxes
storchak [24]

Step-by-step explanation:

I am not sure the scanning of the text went well, as this has some strange gaps in the numbers.

I understand that we have 475812 oranges of one type and 65165 oranges of another type.

we have no information, if these types of oranges have significantly different sizes or weight. so, we have to assume that they are reasonably equal to each other.

therefore, the "different type" statement is just to confuse us. the text could have also said that these were 2 different truck loads of the same type.

we only need to deal with the total number of oranges.

so,

475812 + 65165 = 540977 total oranges

he packs them into 296 boxes.

that makes

540977 / 296 = 1827.625 oranges per box.

these are many oranges for one box in real life.

and it is not a round number, which is strange for a home work or test question if this type.

if the farmer truly put only the same number of oranges in every box, he would have

540977 - 1827×296 = 540977 - 540792 = 185

oranges left over.

in any case, these are all signs that there was probably something wrong with the text. but you see the principle up there. please do the same thing with the real numbers.

6 0
3 years ago
Read 2 more answers
Find the sum.<br><br> (8x2 + 17x) + 6x2 =
Molodets [167]
16 + 17x + 12
17x + 28 

6 0
3 years ago
A square plywood platform has a perimeter which is 11 times the length of a side,
Ivan

Answer:

Step-by-step explanation:

11L - 42 = 4L

       7L = 42

         L = 6

3 0
3 years ago
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