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LenKa [72]
3 years ago
10

17.6 degrees F 35.2 degrees F 41.0 degrees F 72.2 degrees F

Mathematics
1 answer:
yaroslaw [1]3 years ago
6 0
17.6 degrees I think
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From previous polls, it is believed that 66% of likely voters prefer the incumbent. A new poll of 500 likely voters will be cond
Vladimir79 [104]

Answer:

The mean and standard deviation of the number preferring the incumbent is mean = 330, standard deviation = 10.59.

Step-by-step explanation:

We are given that From previous polls, it is believed that 66% of likely voters prefer the incumbent.

A new poll of 500 likely voters will be conducted. In the new poll the proportion favoring the incumbent has not changed.

Let p = probability of voters preferring the incumbent = 66%

n = number of voters polled = 500

<u>So, the mean of the number preferring the incumbent is given by;</u>

         Mean = n \times p = 500 \times 0.66

                                = 330 voters

<u>And, standard deviation of the number preferring the incumbent is given by;</u>

          Variance =  n \times p\times (1-p)  

                          =  500 \times 0.66 \times (1-0.66)

                          =  112.2

So, Standard deviation =  \sqrt{Variance}

                                       = \sqrt{112.2}  = 10.59

7 0
2 years ago
Solve the equation for principal values of x. Express solutions in degrees.
Hitman42 [59]

Option C:

x = 90°

Solution:

Given equation:

\sin x=1+\cos ^{2} x

<u>To find the degree:</u>

\sin x=1+\cos ^{2} x

Subtract 1 + cos²x from both sides.

\sin x-1-\cos ^{2} x=0

Using the trigonometric identity:\cos ^{2}(x)=1-\sin ^{2}(x)

\sin x-1-\left(1-\sin ^{2}x\right)=0

\sin x-1-1+\sin ^{2}x=0

\sin x-2+\sin ^{2}x=0

\sin ^{2}x+\sin x-2=0

Let sin x = u

u^2+u-2=0

Factor the quadratic equation.

(u+2)(u-1)=0

u + 2 = 0,  u – 1 = 0

u = –2, u = 1

That is sin x = –2, sin x = 1

sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.

sin x = 1

The value of sin is 1 for 90°.

x = 90°.

Option C is the correct answer.

3 0
2 years ago
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Please help me with this​
levacccp [35]

Answer:

They weigh 1/6

Step-by-step explanation:

So what you do is Divide 1/4 bye 1 1/2 so that you can figure out how much 1 1/2 bags weigh and that equals 1/6

8 0
3 years ago
The total arm and blade of a windshield wiper is 12 in. long and rotates back and forth through an angle of 85°. The shaded regi
valkas [14]

Answer:

e

Step-by-step explanation:

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2 years ago
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Help me with this please!!!!
sveticcg [70]

Answer:

option c is the correct answer

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3 years ago
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