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3 years ago

Help please and thank you

Mathematics

1 answer:

Oksi-84 [34.3K]3 years ago

8 0

5/9(F-32°) plug in 185

5/9(185°-32°)

5/9(153)

153×5=765

765/9=85

D.85°C

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On a map, 2 inches represents 60 miles. What part of an inch represents 12 miles? Please show how you get you answer.

e-lub [12.9K]

C: 2/5 inches is your answer

if 2 inches are 60 miles then 12 miles is a fifth of 2 inches.

8 0

3 years ago

In a 3M Privacy Filters poll, 806 adults were asked to identify their favorite seat when they fly, and 492 of them chose a windo

Snowcat [4.5K]

Answer:

Step-by-step explanation:

If majority of adults prefer a window seat when they fly, it means that more than half or more than 0.5 of the population prefer a window seat when they fly.

We would set up the hypothesis test.

For the null hypothesis,

p = 0.45

For the alternative hypothesis,

p > 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 492

n = number of samples = 806

P = 492/806 = 0.61

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.61 - 0.5)/√(0.5 × 0.5)/806 = 6.24

From the normal distribution table, the p value < 0.00001

Since alpha, 0.01 < than the p value, then we would reject the null hypothesis. Therefore, at a 1% significance level, we can conclude that the majority of adults prefer a window seat when they fly.

8 0

3 years ago

Find the inverse function (on the given interval, if specified)

Zinaida [17]

Step-by-step explanation:

f(x) = x² + 1, where x >= 0.

Let y be f(x).

=> y = x² + 1

=> x² = y - 1

=> x = √(y - 1) because x is non-negative.

Hence f^-1(x) = √(x - 1), where x >= 1.

5 0

3 years ago

If the sum of the measures of the interior angles of a polygon is 1920°, how many sides does it have? math

Inessa05 [86]

Answer: There is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.

Step-by-step explanation:

The sum of the measures of interior angles of a polygon with $n$ sides is given by:-

$(n-2)\times180^{\circ}$

Given: The sum of the measures of the interior angles of a polygon is 1920°.

i.e. $(n-2)\times180^{\circ}=1920^{\circ}$

$n-2=\dfrac{1920}{180}\\\\ n= \dfrac{1920}{180}+2\\\\ n=\dfrac{2280}{180}=12.67$

But number of sides cannot be in decimal.

Hence, there is no polygon with the sum of the measures of the interior angles of a polygon is 1920°.

7 0

3 years ago

William wants to keep his debt-to-income ratio at the recommended 15% orlower William's house payment is

3241004551 [841]

9514 1404 393

Answer:

about $171,400

Step-by-step explanation:

William's total monthly debt is ...

$1012.84 +579.13 +250 +300 = 2141.97

On an annual basis, this is ...

12 × $2141.97 = $25,703.64

This will be 15% of (25703.64/0.15) = $171,357.60.

William's new annual salary should be about $171,400 to keep his debt ratio at the recommended 15%.

_____

<em>Additional comment</em>

A debt ratio of 15% is a pretty aggressive target. Most mortgage lenders like to see the "front end" ratio (housing expense) less than 28%, and the "back end" ratio (all debt) less than 36%.

4 0

3 years ago