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DiKsa [7]
3 years ago
13

A video has a scale factor of 16:9. the short side is 5 cm how long is the long side. show your work to be the brainleest.

Mathematics
1 answer:
Fittoniya [83]3 years ago
5 0

Answer:

8.89cm

Step-by-step explanation:

The ratio is 16:9 (which is one of the most common in TVs)

9:5=16:x

x=(16*5)/9

x=8.88....=8.89

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An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted t
LekaFEV [45]

Answer:

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Step-by-step explanation:

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:

At the null hypothesis, we test if the mean is the same, that is:

H_0: \mu = 59.5

At the alternate hypothesis, we test that it is different, that is:

H_a: \mu \neq 59.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

59.5 is tested at the null hypothesis:

This means that \mu = 59.5

After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.

This means that n = 250, X = 59.2, \sigma = 1.9

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}

z = -2.5

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.

Looking at the z-table, Z = -2.5 has a pvalue of 0.0062

2*0.0062 = 0.0124

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

5 0
2 years ago
What equation do you get when you solve z-m=z+bx for x?
Nimfa-mama [501]
X = -m/b.
Subtract z from both side and you get
-m= bx
Now divide both side by b and you get
-m/b= x
8 0
3 years ago
Read 2 more answers
Suppose Y varies directly with x, and y = 25 when x = 140. what is the value of x when y = 36?
Tema [17]

25y.......140x

36y..........x

Cross multiply

25x= 36*140

25x= 5040

x= 5040/25

x= 1008/5

x= 201.6

When y=36 the x will = 201.6


I hope that's help !


4 0
3 years ago
Product of a number n and 12 is 96
Charra [1.4K]

Answer:

8

Step-by-step explanation:

n * 12 = 96

96/12 = 8

==> n = 8

3 0
2 years ago
Help me anyone someone dora diego spongbob AnYoNe just plz helppppppppppppp
alexira [117]

Answer:

30%

Step-by-step explanation:

6 0
2 years ago
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