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dmitriy555 [2]
3 years ago
8

If BC = 61 and AB = 82, what is the length of AC?

Mathematics
1 answer:
Nitella [24]3 years ago
4 0

Answer:

54.8

Step-by-step explanation:

Pythagorean theorem is a^2+b^2=c^2.

Plug the given values in to get 61^2+b^2=82^2

61^2 is 3,721 and 82^2 is 6,724.

6,724-3,721 is 3,003.

The square root of 3,003, rounded to a reasonable value, is 54.8.

The length of AC is 54.8.

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35.5 ft is the width of the room
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Suppose you read online that children first count to 10 successfully when they are 32 months old, on average. You perform a hypo
creativ13 [48]

Answer:

p_v =2*P(t_{(35)}  

Step-by-step explanation:

Assuming this info from R

hist(gifted$count)

##    Min. 1st Qu.  Median    Mean 3rd Qu.    Max.  

##   21.00   28.00   31.00   30.69   34.25   39.00

## Sd

## [1] 4.314887

Data given and notation  

\bar X=30.69 represent the mean  

s=4.3149 represent the sample standard deviation

n=36 sample size  

\mu_o =32 represent the value that we want to test

\alpha 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 mean is different than 32, the system of hypothesis would be:  

Null hypothesis:\mu = 32  

Alternative hypothesis:\mu \neq 32  

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{30.69-32}{\frac{4.3149}{\sqrt{36}}}=-1.822    

P-value

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

df=n-1=36-1=35  

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

p_v =2*P(t_{(35)}  

7 0
3 years ago
Which expression has a value of 24 when x=4 and y=2?
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C) will have value of 24 

4 0
3 years ago
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garri49 [273]

Answer:

90 m

Step-by-step explanation:

65 km = 65000m

1 hour = 3600 secs

speed in meters = 65000/3600

= 18 m / sec

Distance traveled in 5 secs = 18*5

= 90 m

5 0
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What is the simplest form of the ratio 40:16?
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Hope this helps!
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3 years ago
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