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defon
3 years ago
8

Find the surface area of the solid

Mathematics
1 answer:
kolbaska11 [484]3 years ago
8 0
To find the surface area of the solid: base area+side surface area x 4no proble

Base area:
16x16
=256 units^2

Sum of side surface area:
(17x16/2)x4
=(272/2)x4
=136x4
=544 units^2

The total surface area:
544+256
=800 units^2

Hope it helps!


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Using the distributive property to factorize the equation 3x^2+24x=0, you get ​
Natalka [10]

Answer:

Step-by-step explanation:

3x^2+24x=0\\factor: 3x(x+8)=0\\x=0, -8

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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.

8 0
3 years ago
Kay has 28 coins which includes nickels and dimes if the total is 2.35$, how many of each coin does Kay have?
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Answer:9 nickels and 19 dimes.

Step-by-step explanation:

Let n be the number of nickels Kay has.

Let d be the number of dimes Kay has.

Value of 1 nickel is $0.05

Value of n nickels is $0.05n

Value of 1 dime is $0.1

Value of d nickels is $0.1dn

Given that Kay has a total of 28 coins.

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Using (i) and (ii),

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d=28-n=28-9=19

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Someone answered before but I couldn’t get the link he posted anyone else know?
Scrat [10]

Answer:

What exactly is your question?

Step-by-step explanation:

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