What is the value of y? Enter your answer in the box. y =

Mathematics

2 answers:

Lorico [155]3 years ago

5 0

since this is an isosceles triangle

5x =40

divide by 5

x=8

the sum of all angles in a triangle is 180

5x+40 + 2y+20 = 180

substitute 40 in for 5x

40 + 40 + 2y+20 = 180

combine like terms

100 + 2y = 180

subtract 100 from each side

2y = 80

divide by 2

y= 40

masha68 [24]3 years ago

4 0

Y=40 because x=8 making the two bottom angles 40 each and leaving the last angle to be 100 and 100+40+40= 180. Hope this help

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In a sample of 70 stores of a certain company, 62 violated a scanner accuracy standard. It has been demonstrated that the condi

uysha [10]

Answer:

We need at least 243 stores.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

For this problem, we have that:

$n = 70, p = \frac{62}{70} = 0.886$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Determine the number of stores that must be sampled in order to estimate the true proportion to within 0.04 with 95% confidence using the large-sample method.

We need at least n stores.

n is found when M = 0.04. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.04 = 1.96\sqrt{\frac{0.886*0.114}}{n}}$