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3 years ago

Which shows three ordered pairs that are all solutions of the equation y = x + 7?

Mathematics

1 answer:

hoa [83]3 years ago

4 0

Plug in both of the numbers for x and y in the equation.
After you do that, you should get B as your answer.

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PLEASE HELP ASAP!! THANKS SO MUCH

Wittaler [7]

Answer:

The relationship shows a direct linear variation with a constant of variation of 1.

Step-by-step explanation:

This is true because the slope of the equation is 1

4 0

3 years ago

Read 2 more answers

Batteries produced by a manufacturing company have had a life expectancy of 135 hours. Because of an improved production process

Nikolay [14]

Answer: c. z = 1.35; Reject the null hypothesis

Step-by-step explanation:

Let $\mu$ be the average life expectancy of its batteries.

As per given , we have

Null hypothesis : $H_0 : \mu =135$

Alternative hypothesis : $H_a : \mu >135$

Since $H_a$ is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.

Test statistic : $\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

where, n= sample size

$\overlien{x}$ = sample mean

$\mu$ = Population mean

$\sigma$ =population standard deviation

For $n=42,\ \overline{x}=140\ \&\ \sigma=24$ , we have

$z=\dfrac{140-135}{\dfrac{24}{\sqrt{42}}}=1.35015431217\approx1.35$

Critical one-tailed test value for 0.10 significance level :

$z_{0.1}=1.28$

Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .

[When critical value is less than the test statistic value , we reject the null hypothesis .]

5 0

3 years ago

Help this is really hard

Agata [3.3K]

(2^8 *3^-5* 6^0)^-2 * ((3^-2)/(2^3))^4 * 2^28

anything to the 0 power is 1

(2^8 *3^-5* 1)^-2 * ((3^-2)/(2^3))^4 * 2^28

using the power of power property to take the power inside

(2^(8*-2) *3^(-5* -2) * (3^-2*4)/(2^3*4) * 2^28

simplify

2^ -16 * 3^10 * 3^-8 /2*12 * 2^28

get rid of the division by making the exponent negative

2^-16 * 3^10 * 3^-8 *2*-12 * 2^28

combine exponents with like bases

2^(-16-12+28) * 3^(10-8)

2^(0) *3^2

anything to the 0 power is 1

1*9

5 0

3 years ago

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Mary took 8 tests in science and received the following scores: 87,60,76,92,63,91,88,75

MariettaO [177]

Answers:

mean = 79
mode = none
median = 81.5

=================================================

Explanation:

To get the mean, you add up the numbers and then divide by n = 8, since there are 8 scores

Adding the scores gets us: 87+60+76+92+63+91+88+75 = 632

Divide that over n = 8 to get 632/n = 632/8 = 79

The mean is 79

You have the correct answer. Nice work.

---------------

The mode is the most frequent value.

In this data set, we don't have any repeated values. Each unique number is listed one time only. So that tells us we don't have a mode here.

---------------

To get the median, we need to sort the items from smallest to largest

{87,60,76,92,63,91,88,75} sorts to {60,63,75,76,87,88,91,92}

Because we have n = 8 values, which is an even number, this tells us that the median is between slot n/2 = 8/2 = 4 and slot 5

The values 76,87 are in slots four and five in that order. Add them up and divide by 2: (76+87)/2 = 163/2 = 81.5 is the median

3 0

3 years ago

Help ASAP!! QR is the median of trapezoid MNOP. If MN = 41 and OP = 53, calculate QR.

stealth61 [152]

Answer:

QR = 86

Step-by-step explanation:

<em>Trust.</em>

5 0

4 years ago

Read 2 more answers