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VikaD [51]
3 years ago
6

What is the value of x in this figure?

Mathematics
1 answer:
Nonamiya [84]3 years ago
8 0
68°, angle is 90 so you would subtract 22 from 90 to find it.
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Suppose that 44% of all Americans approve of the job the president is doing. The most recent Gallup poll consisted of a random s
PolarNik [594]
This is a typical binomial distribution since we are dealing with only two possible outcomes. For this distribution we have:
n = population = 1400
p = probability of positive answer = 0.44 

A) The mean of a binomial distribution is
μ = np
  = 1400 × 0.44
  = 616

Hence, <span>μ = 616

B) The standard deviation of a binomial distribution is
</span>σ = √[np(1 - p)]
   = √[1400×0.44×(1-0.44)]
   = √(1400×0.44×0.56)
   = 18.6

Hence, σ = 18.6

C) A binomial distribution B(n, p) can be approximated by a normal distribution N(μ, σ) only when:
np ≥ 10 (we have 616 > 10)
np(1 - p) ≥ 10 (we have 344.96 > 10)

Hence, the normal approximation is N(616, 18.6)

D) We need to calculate the probability of the sample population to be within 3% of the true mean.

In order to do so, as a first thing, we need to calculate the sample standard deviation, which will be given by the formula:
\sigma =  \sqrt{ \frac{p(1-p)}{n} }
= √[0.44 × (1 - 0.44) ÷ 1400]
= √0.000176
= 0.013

Now, we need to calculate the z-score associated with the values we want: since we want 3% from the mean, it means between 41% and 47%.
The z-score can be calculated by the formula:
z = (Y - p) / σ
z₁ = (0.41 - 0.44) / 0.013 = -2.31
z₂ = (0.47 - 0.44) / 0.013 = 2.31

Therefore, we can write
P(0.41 ≤ Y ≤ 0.47) = P(-2.31 ≤ z ≤ 2.31)
                              = P(z ≤ 2.31) - P(z ≤ -2.31)
                              = P(z <span>≤ 2.31) - [1 - P(z <span>≤ 2.31)]
                              = 2×P(</span>z </span>≤ 2.31) - 1

From a standard normal distribution table, we find:
P(z <span>≤ 2.31) = 0.9896

Therefore:</span>
<span>2×P(z </span><span>≤ 2.31) - 1 = 2 </span>× 0.9896 - 1
                            = 0.9792

Hence, the probability to find a proportion within 3% of the real mean is 97.92%
8 0
3 years ago
-3x - y = 0 and -8x +5y=7
andrezito [222]

Answer:

-23x = 7

Step-by-step explanation:

-3x - y =0

×5. ×5 ×5

-15x -5y = 0

-8x +5y = 7

-15x -5y -0

-23x = 7

8 0
3 years ago
Find the length of BC.<br>A) 8 <br>B) 12 <br>C) 16 <br>D) 18
kvasek [131]

I think its 12.

I could be wrong. Let me know.

-Steel jelly


8 0
3 years ago
Read 2 more answers
I need help on this question. Does anybody know how to do it??
marta [7]
1/3 x 14
2/3 x 7
4/6 x 7
2/6 x 14
1/3 x 28/2
1/3 x 42/3
4 0
3 years ago
Name the sides of the angle 6.
9966 [12]
Obtuse is the answer
8 0
3 years ago
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