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3 years ago

14. Which equality decibes the function in the table below?

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

3 0

Answer:

x times 2.5 = y

Step-by-step explanation:

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A plane increases its cruising speed from 400mph to 550mph. Work out the percentage speed increase.

Harlamova29_29 [7]

Well, it went from 400 to 550, so the difference is 150.

if we take 400 to be the 100%, what is 150 off of it in percentage?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
400&100\\
150&p
\end{array}\implies \cfrac{400}{150}=\cfrac{100}{p}\implies p=\cfrac{150\cdot 100}{400}$

4 0

4 years ago

How to solve 2 5/2-2 3/2

Lena [83]

2 5/2 - 2 3/2

9 / 2 - 7 / 2

= 1

4 0

3 years ago

Work it out pls math 1 -9(t - 2)= 4(t - 15)

GuDViN [60]

Step-by-step explanation:

1 - ((9*t) - (9*-2) = ( 4*t) - (4*-15)

1 - 9t + 18 = 4t + 60

- 9t - 4t = 60 - 1 - 18

-13t = 40

t = 40/-13

8 0

3 years ago

Which expression is equal to 5 6 (6 is an exponent)

meriva

Answer:

6x5 is the answer

Step-by-step explanation: 6 is the t so it should be 5x6 so its equal but switched around

5 0

3 years ago

A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop

attashe74 [19]

Answer:

$0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286$

$0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562$

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

$X= 36$ represent the families owned at least one DVD player

$n= 85$ represent the total number of families

$\hat p=\frac{36}{85}= 0.424$ represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286$

$0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562$

The 99% confidence interval would be given by (0.286;0.562)

8 0

3 years ago