Ask question

Ask question

All categories

2 years ago

9

In the town of Westerly, Windsor Avenue and Orchid Drive are parallel. Main Street is perpendicular to both Windsor Avenue and O

rchid Drive. The angle made between Summer Place and Main Street is 41°, as shown on the map. What is the measure of angle X?

1 answer:

Flauer [41]2 years ago

3 0

Answer:

80

Step-by-step explanation:

You might be interested in

Write an equivalent expression by distributing the "-−" sign outside the parentheses: 10m-(3.3n+1.8)

Jlenok [28]

Sorry I need them points

3 0

2 years ago

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

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

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

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

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

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.886*0.114}}{0.04})^{2}$

$n = 242.5$

Rounding up

We need at least 243 stores.

5 0

2 years ago

Gerardo works at an ice cream shop each flavor of ice cream is stored in a right cylindrical tub that measures approximately 9 i

Leokris [45]

Answer:

Volume left = 404.32 cubic inches

Step-by-step explanation:

volume of a cylinder = $\pi$ $r^{2}$ h

volume of ice cream in the cylindrical tub = $\frac{22}{7}$ x $5^{2}$ x 9

= $\frac{22}{7}$ x 25 x 9

= 707.1429

Volume of ice cream in the cylindrical tub is 707.14 cubic inches.

The ice cream scoop has a spherical volume, so that;

volume of a sphere = $\frac{4}{3}$ $\pi$ $r^{3}$

r = $\frac{2.5}{2}$

= $\frac{5}{4}$ inches

volume of the scoop = $\frac{4}{3}$ x $\frac{22}{7}$ x $(\frac{5}{4} )^{3}$

= $\frac{4}{3}$ x $\frac{22}{7}$ x $\frac{125}{64}$

= 8.1845

volume of the scoop is 8.19 cubic inches.

If he scoops 37 scoops,

volume of the 37 scoops = 37 x 8.1845

= 302.8265

volume of 37 scoops is 302.83 cubic inches.

Volume of ice cream left in the tub = 707.1429 - 302.8265

= 404.3164

Volume of ice cream left in the tub is 404.32 cubic inches.

7 0

3 years ago

Which inequality explains why these three segments cannot be used to construct a triangle?

Anna11 [10]

Answer:

Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side. Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.

5 0

2 years ago

2. The ground below your feet moves at the rate at which

garik1379 [7]

I’m just going off of what I was told in fifth grade, and we were told it was finger nails. Hope this helps!

5 0

3 years ago