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Karolina [17]
4 years ago
10

54 is 60% of what number?

Mathematics
2 answers:
myrzilka [38]4 years ago
8 0
54 is 60%
SO 100% = 54 * 100/60 = 90

So the number is 90
Genrish500 [490]4 years ago
6 0
Let, the number = x

Then, x * 60% = 54

x * 0.60 = 54

x = 54 / 0.60

x = 90

In short, Your Answer would be: 90

Hope this helps!
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How many radians is -135°
Yuri [45]

Answer:

-3/4 pi radians

Step-by-step explanation:

<em>180° is 1 pi radian</em>

Hence, -<em>135° = -135/180 pi radians</em>

                     = -0.75 pi radians

                     = -3/4 pi radians

6 0
3 years ago
At a local university, a sample of 49 evening students was selected in order to determine whether the average age of the evening
pav-90 [236]

Answer:

z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4    

p_v =2*P(z>4)=0.0000633  

When we compare the significance level \alpha=0.1 we see that p_v so we can reject the null hypothesis at 10% of significance. So the  the true mean is difference from 21 at this significance level.

Step-by-step explanation:

Data given and notation  

\bar X=23 represent the sample mean

\sigma=3.5 represent the population standard deviation

n=49 sample size  

\mu_o =21 represent the value that we want to test

\alpha=0.1 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 average age of the evening students is significantly different from 21, the system of hypothesis would be:  

Null hypothesis:\mu = 21  

Alternative hypothesis:\mu \neq 21  

The statistic is given by:

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

Calculate the statistic

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

z=\frac{23-21}{\frac{3.5}{\sqrt{49}}}=4    

P-value

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

p_v =2*P(z>4)=0.0000633  

Conclusion  

When we compare the significance level \alpha=0.1 we see that p_v so we can reject the null hypothesis at 10% of significance. So the  the true mean is difference from 21 at this significance level.

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Answer:

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Step-by-step explanation:

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