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3 years ago

What number completes the following equation 8× (40+7) =(8× )+(×7)

1 answer:

5 0

8x( 47 ) = 8x + 7x
8x( 47 ) = 8x( 2 ) - x
8x( 47 - 2 ) = - x
8x( 45 ) = - x
360x = - x
x = -360x

I don't think the question can be done
Is the question wrong?
because there's no answer other than 0.

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Why is angle 3 congruent to angle <br>explain why

kolezko [41]

Answer:

Angle 3 is = to angle 2 because:

Angle 3 & angle 7 are corresponding angles, meaning they have the same measure.

Angle 7 & angle 2 are vertical angles, meaning they also have the same measure.

Therefore, if angle 7 is equal to angle 3, then angle 2 must also be equal to angle 3.

Hope this helps! Have a great day!

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3 years ago

If the length is 7 more than 4 times the width of a rectangle and the perimeter is 74mm, what are the dimensions?

kogti [31]

-----------------------------------------------
Define x :
-----------------------------------------------
Let the width be x
Width = x
Length = 4x + 7

-----------------------------------------------
Formula :
-----------------------------------------------
Perimeter = 2 (Length + Width)

Perimeter = 74
2(4x + 7 + x) = 74 // sub length and width into the equation
2(5x + 7) = 74 // combine like terms
10x + 14 = 74 // Apply distributive property
10x = 60 // Take away 14 from both sides
x = 6 // Divide by 10 on both sides

-----------------------------------------------
Find Length and Width :
-----------------------------------------------
Width = x = 6mm
Length = 4x + 7 = 4(6) + 7 = 31mm

----------------------------------------------------------------------------------------------
Answer: The length is 31mm and its width 6mm.
----------------------------------------------------------------------------------------------

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4 years ago

X = 12 - 3y<br> 3x + 9y = 24

maxonik [38]

Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

A study is conducted to determine if a newly designed text book is more helpful to learning the material than the old edition. T

CaHeK987 [17]

Answer:

We need to conduct a hypothesis in order to check if the mean is higher than 75, the system of hypothesis are :

Null hypothesis: $\mu \leq 75$

Alternative hypothesis: $\mu > 75$

A. One-Tailed

$z=\frac{82.2-75}{\frac{10.4}{\sqrt{10}}}=2.189$

$p_v =P(z>2.189)=0.0143$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

Step-by-step explanation:

Data given and notation

We have the following data: 84 94 80 88 77 68 90 74 96 71

We can calculate the sample mean with the following formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X=82.2$ represent the sample mean

$\sigma=10.4$ represent the population standard deviation

$n=10$ sample size

$\mu_o =75$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 75, the system of hypothesis are :

Null hypothesis: $\mu \leq 75$

Alternative hypothesis: $\mu > 75$

A. One-Tailed

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$z=\frac{82.2-75}{\frac{10.4}{\sqrt{10}}}=2.189$

P-value

Since is a ONE-TAILED test the p value would given by:

$p_v =P(z>2.189)=0.0143$

Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis.

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3 years ago