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3 years ago

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You record the number of sunny days out of a sample of 90 randomly selected days in city a and city b. in city a's sample there

were 54 sunny days. in city b sample there were 63 sunny days.
Is City B significantly sunnier than City A? use a significance level of 0.05

1 answer:

Sergio039 [100]3 years ago

6 0

The significance level shows that z approximately equals 1.41 for a p-value of 0.078642.

<h3>How to calculate the p-value?</h3>

Based on the complete question, the sample proportion for city A will be:

= 54/90 = 0.60

The sample proportion for city B will be:

= 63/90 = 0.70

Using the table given, it can be deduced that the test statistic value will be 1.41. Therefore, the p-value will be 0.078652 in the Excel function.

Since the p-value is greater than 0.05, then we fail to reject the null hypothesis that there is no difference in the commute time.

Learn more about significance level on:

brainly.com/question/4599596

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Here a right angled triangle given. one angle with measure $45^o$ given. The three sides of the triangle given 4, x, y.

We have to find, the sides which is opposite, adjacent and hypotenuse here.

We know that the side opposite to right angle is always hypotenuse. So, hypotenuyse = y.

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The opposite side is opposite to the given angle. So, opposite = 4.

Now we will use SOHCAHTOA that is $sin(x) =\frac{Opposite}{Hypotenuse} , cos(x) =\frac{Adjacent}{Hypotenuse} , tan(x) =\frac{Opposite}{Adjacent}$ , where x is the angle given.

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So we have got the value of x here.

Now to find y, we will use the trigonometric function sine.

$sin(45^o) =\frac{4}{y}$

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By substituting the value we will get,

$\frac{\sqrt{2}}{2} = \frac{4}{y}$

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$\sqrt{2}y = 8$

We will get y by dividing both sides by $\sqrt{2}$ , we will get,

$\frac{\sqrt{2}y}{\sqrt{2}} =\frac{8}{\sqrt{2} }$

$y =\frac{8}{\sqrt{2} }$

Now we will rationalize the denominator by multiplying $\sqrt{2}$ to the top and bottom.

$y =\frac{8\sqrt{2}}{(\sqrt{2})(\sqrt{2})}$

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So we have got the required values of x and y.

8 0

3 years ago

Read 2 more answers

Question 4 pleaseeeeeee

arsen [322]

Answer:

B

Step-by-step explanation:

Unit rate means one quantity in terms of another unit quantity. In the answer choices, we see that the denominator is always in terms of UNIT LITERS (1 L), so that means, we have to find gallons in terms of UNIT LITERS.

It means, we have to divide gallons by liters to get in terms of unitary liters.

Let's check the first line:

19.5/75 = 0.26 Gallons / 1 Liter

Now, checking 2nd:

39/150 = 0.26 Gallons / 1 Liter

So, yes, they are the same and other 2 lines would be the same as well. The unit rate is:

0.26 gal/1L

That's answer choice B

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3 years ago