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3 years ago

Is the point (8'10), a solution of the equation y=16x-3

1 answer:

5 0

Lets find out...
(8,10)...x = 8 and y = 10

y = 16x - 3
10 = 16(8) - 3
10 = 128 - 3
10 = 125....nope...incorrect
therefore, (8,10) is not a solution to this equation

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Present value sura wiggle would like to make a single investment have 2.2 million at the time of her retirement in 28 years she

levacccp [35]

Answer:

if the annual interest rate is 7%, then you need to invest:

present value = future value / (1 + i)ⁿ

future value = $2,200,000
i = 7%
n = 28 years

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if the interest rate is 15%, the you need to deposit a smaller amount:

present value = future value / (1 + i)ⁿ

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i = 15%
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3 years ago

Which set of lengths are not the side lengths of a right triangle

alexandr1967 [171]

Answer:

Step-by-step explanation:

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3 years ago

A random variable x has a Normal distribution with an unknown mean and a standard deviation of 12. Suppose that we take a random

Zielflug [23.3K]

Answer: The 95% confidence interval for the mean of x is (94.08, 101.92) .

Step-by-step explanation:

We are given that ,

A random variable x has a Normal distribution with an unknown mean and a standard deviation of 12.

i.e. $\sigma= 12$

Also, it is given that , Sample mean $\overline{x}=98$ having sample size : n= 36

For 95% confidence ,

Significance level : $\alpha=1-0.95=0.05$

By using the z-value table , the two-tailed critical value for 95% Confidence interval :

$z_{\alpha/2}=z_{0.025}=1.96$

We know that the confidence interval for unknown population mean $(\mu)$ is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

, where $\overline{x}$ = Sample mean

$\sigma$ = Population standard deviation

$z_{\alpha/2}$ = Critical z-value.

Substitute all the given values, then the required confidence interval will be :

$98\pm (1.96)\dfrac{12}{\sqrt{36}}$

$=98\pm (1.96)\dfrac{12}{6}$

$=98\pm (1.96)(2)$

$=98\pm 3.92=(98-3.92,\ 98+3.92)\\\\=( 94.08,\ 101.92)$

Therefore, the 95% confidence interval for the mean of x is (94.08, 101.92) .

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3 years ago

if you place these marbles in a bag, close your eyes, and choose a marble, what is the probability that it will be

oksian1 [2.3K]

Answer:

P(blue) = 3/7

So '7' belongs in the box

Step-by-step explanation:

There are 14 total marbles, 6 of which are blue. The probability of pulling a blue marble out of the bag is

P(blue) = 6/14, which reduces to 3/7

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3 years ago

Seamus plays outside for five and five sixths hours every week. He has already played outside for four and three sixths hours. H

gregori [183]

Answer = C because 5-4 and 5/6 - 3/6 = 1 and 2/6

3 0

2 years ago