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timurjin [86]
2 years ago
14

Find the volume of the given rectangular prism.

Mathematics
1 answer:
VLD [36.1K]2 years ago
6 0
Your answer would be 29
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There are three consecutive integers, such that six times the first, minus two times the second, equals the third integer plus f
frozen [14]

Answer:

3

Step-by-step explanation:

Given that:

Integers : x, x + 1, x + 2

6x - 2(x + 1) = (x+2) + 5

6x - 2x - 2 = x + 2 + 5

4x - 2 = x + 7

4x - x = 7 + 2

3x = 9

x = 9/3

x = 3

First integer = x = 3

2nd integer = x + 1 = 3+1 = 4

3rd Integer = x + 1 + 1 = 3 + 2 = 5

7 0
3 years ago
The mean consumption of bottled water by a person in the United States is 28.5 gallons per year. You believe that a person consu
Over [174]

Answer:

t=\frac{27.8-28.5}{\frac{4.1}{\sqrt{100}}}=-1.707    

p_v =P(t_{99}

If we compare the p value with a significance level for example \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, so there is not enough evidence to conclude that the mean for the consumption is less than 28.5 gallons at 0.1 of significance, so we can reject the claim that person consume more than 28.5 gallons.

Step-by-step explanation:

Data given and notation    

\bar X=27.8 represent the mean for the account balances of a credit company

s=4.1 represent the population standard deviation for the sample    

n=1000 sample size    

\mu_o =28.5 represent the value that we want to test  

\alpha=0.1 represent the significance level for the hypothesis test.  

t 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 determine if the mean for the person consume is more than 28.5 gallons, the system of hypothesis would be:    

Null hypothesis:\mu \geq 28.5    

Alternative hypothesis:\mu < 28.5    

We don't know the population deviation, so for this case we can use the t test to compare the actual mean to the reference value, and the statistic is given by:    

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)    

t-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:    

t=\frac{27.8-28.5}{\frac{4.1}{\sqrt{100}}}=-1.707    

Calculate the P-value    

First we need to calculate the degrees of freedom given by:

df=n-1=100-1=99

Since is a one-side lower test the p value would be:    

p_v =P(t_{99}

In Excel we can use the following formula to find the p value "=T.DIST(-1.707,99)"  

Conclusion    

If we compare the p value with a significance level for example \alpha=0.1 we see that p_v so we can conclude that we reject the null hypothesis, so there is not enough evidence to conclude that the mean for the consumption is less than 28.5 gallons at 0.1 of significance, so we can reject the claim that person consume more than 28.5 gallons.

5 0
3 years ago
Helpppppppppp please
eduard

You know b=-6 and since you know this, you can plug -6 in for b.

This would become 4(-6) + 6 divided by 6.

You can then multiply 4 and -6 together,

-24 + 6 / 6

You can then add -24 and 6 together,

-18/6

You can then divide -18 by 6,

-18/6=-3

-3 is your final answer

7 0
3 years ago
Read 2 more answers
If a^n=b than a is the n^th root of b. True or false
dem82 [27]

Step-by-step explanation:

yes that's true

if a^n=b

then

a^n/n=b^1/n

a=b^1/n

7 0
3 years ago
Can someone help me with this Geometry question ASAP, thanks!
slega [8]

We are given an isosceles triangle.

An isosceles triangle has corresponding angles of corresponding sides same.

<em>Therefore, other angle is also of (3x+7) degrees.</em>

(5x+13) and (3x+7) makes a linear pair.

Therefore,

(5x+13) + (3x+7)  = 180

5x +13 + 3x +7 = 180.

8x +20 = 180.

Subtracting 20 from both sides, we get

8x +20-20 = 180-20.

8x = 160

Dividing both sides by 8, we get

<h3>x = 20.</h3><h3>Therefore, correct option is 3rd option. </h3>
4 0
3 years ago
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