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iren [92.7K]
3 years ago
12

How do you find the length inside a cube diagonally???

Mathematics
1 answer:
MrRissso [65]3 years ago
4 0
Solution:

We have: In the attached image, observe rectangle triangle ΔBAD
Use the Pythagorean Theorem:
BD = √(AB² + AD²)
BD = √(2² + 4²)
BD = √(4 + 16)
BD = √20

In the attached image, observe rectangle triangle ΔBDH
Use the Pythagorean Theorem:
BH = √(BD² + DH²)
BH = √(√20² + 5²)
BH = √(20 + 25)
BH = √45
BH = √(9 × 5)
BH = √9 × √ 5
BH = 3√5
BH = 3 × 2.24

BH = 6.72 cm

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uppose that an automobile manufacturer advertises that its new hybrid car has a mean gas mileage of 50 miles per gallon. You tak
Harlamova29_29 [7]

Answer:

t=\frac{47-50}{\frac{5.5}{\sqrt{30}}}=-2.988    

p_v =2*P(t_{(29)}  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is significantly different from 50 mpg at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=47 represent the sample  mean  

s=5.5 represent the sample standard deviation

n=30 sample size  

\mu_o =50 represent the value that we want to test

\alpha=0.01 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 check if the true mean is 50 or no, the system of hypothesis would be:  

Null hypothesis:\mu = 50  

Alternative hypothesis:\mu \neq 50  

If we analyze the size for the sample is = 30 but we don't know the population deviation so is better apply a 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{47-50}{\frac{5.5}{\sqrt{30}}}=-2.988    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=30-1=29  

Since is a two tailed test the p value would be:  

p_v =2*P(t_{(29)}  

Conclusion  

If we compare the p value and the significance level given \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is significantly different from 50 mpg at 5% of signficance.  

4 0
3 years ago
If an object is dropped from a height of 200 feet, the function h(t)=-16t^2=200 gives the height of the object after t seconds.
Fed [463]
Hello,
Answer C
h(t)=0=-16t²+200==>t=3.53533...(s)
5 0
3 years ago
I will give 35points plus brainliest if right! please hurry!
Assoli18 [71]
The last is one and the lump of clay one is correct. The law of conversation is that energy can not be created, nor destroyed. This is a perfect example because the apple is not losing any of the matter it had in the beginning.
4 0
3 years ago
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Triangle ABC has angle measures as shown below. Using the information in the diagram, and the value of x that you calculated in
Minchanka [31]

Answer:

x=29

Step-by-step explanation:

180-87=93

93=3x+6

-6        -6

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

93=3x

/3    /3

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

29=x

x=29

*all angles in a triangle add up to 180. So, 35+52=93. 180-93=87.

C=87

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2 years ago
-5x + 3(7x - 5)<br> Help???
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So here we just are gonna distribute and simplify.

7 0
2 years ago
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