All categories

3 years ago

The length of a TV is 16/9 times the width. The length of Mrs. Hoang's new TV is 32. What is the width?

Mathematics

1 answer:

faust18 [17]3 years ago

8 0

Answer:

56.88888889

Step-by-step explanation:

32 times 16/9

You might be interested in

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

Write the set of points from −6−6 to 33 but excluding −2−2 and 33 as a union of intervals:

Softa [21]

In this question, we have to write the set of points from -6 to 3 but excluding -2 and 3 as a union of intervals .

For union, we use U.

For the points that we have to exclude , we put parenthesis on there side that is ().

Therefore the required interval form is

$[-6,-2)U(-2,3)$

As we see that () are used with -2 and 3 . And that's the required interval form .

5 0

3 years ago

On the first part of a journey, Alan drove a distance of x km and his car used 6 litres of fuel.

irinina [24]

Answer:

$\frac{600}{x+20}\text{ litres per 100 km}$

Step-by-step explanation:

Given,

The number of litres consumed by car in (x+20) km = 6,

So, number of litres consumed by car in 1 km = $\frac{6}{x+20}$ ,

Now, number of litres consumed by car in 100 km = 100 × litres consumed by car in 1 km

$=100\times \frac{6}{x+20}$

$=\frac{600}{x+20}$

Hence, the rate of fuel used by his car would be $\frac{600}{x+20}$ litres per 100 km.

6 0

3 years ago

The graph shown corresponds to someone who makes ______________.

castortr0y [4]

We can't see the graph so we don't know the question

6 0

3 years ago

Read 2 more answers

PLEASE! PLEASE! help!

qaws [65]

1.) The answer is 825.75 (multiply the given tax rates to the gross pay)
2,785 x 13% federal taxes = 362.05
2,785 x 9% state tax = 250.65
2,785 x 7.65% FICA = 213.05
 825.75

2.) The answer is 288.60 (multiply the interest rate to the balance, no need to add a late payment fee since they paid on 6/1, not after)
2,748.56 x 10.5% = 288.60

3.) The answer is 182.13 (multiply the APR to the original purchase price, no need to add the sales tax)
 1,500 x 11.75% = 182.13

4.) The answer is 371.92 (deduct the reward to the interest)
Interest : 2,975.34 x 13.5% = 401.67
Reward : 2,975.34 x 1% = 29.75
371.92

5.) The answer is 1,339.13 (deduct the interest to the monthly payment)
Monthly payment : 2,236.00
Monthly interest : 896.87 [(231,450 x 4.65%) / 12 months]
 1,339.13

Hope this helps! :)

4 0

2 years ago