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fomenos
2 years ago
7

What is the total surface area?

Mathematics
1 answer:
Anastasy [175]2 years ago
3 0

Answer:

2198 cm²

Step-by-step explanation:

Total surface area of a cylinder = 2πrh + 2πr²

Radius, r = diameter/2

= 20cm/2

= 10 cm

Height, h = 25 cm

Total surface area of a cylinder = 2πrh + 2πr²

= 2*3.14*10*25 + 2*3.14*10²

= 1,570 + 6.28*100

= 1,570 + 628

= 2198 cm²

Total surface area of a cylinder = 2,198 cm²

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Kelly flies a distance of 2,100 miles. The trip takes 4 2/3 hours.
Ede4ka [16]

Answer:

450 miles per hour

Step-by-step explanation:

Kelly flies at a distance of 2,100 miles

The time taken for the trip is 4 2/3 hours

Therefore the rate of speed can be calculated as follows

= 2,100 ÷ 4 2/3

= 2,100 ÷ 14/3

= 2100 × 3/14

= 150 × 3

= 450 miles per hour

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2 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
Christina measured line F with 6 quarters and line G with 8 pennies. Christina said line G is longer because 8 is a bigger numbe
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3 years ago
X 2 4 8 10 16<br> Y12 45<br> 09<br> Oy= 2 x<br> Oy=1 x<br> O y=x-1<br> Oy=x+2
MrRa [10]

Answer:

<em>y = x ÷ 2</em>

Step-by-step explanation:

We are given a table of values, which will be represented as ordered pairs (x,y) below:

(2,1) (4,2) (8,4) (10,5) (16,8)

We are required to select one of the functions that match the numeric relationship between x and y.

We could test them one by one, but at simple observation, we can note the values of y are half of the values of x:

2/2=1

4/2=2

And so on. Thus the only function that divides the value of x by 2 to find the value of y is:

y = x ÷ 2

6 0
2 years ago
Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and
Brums [2.3K]

Answer:

t=\frac{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349      

p_v =P(t_9>10.349)=1.34x10^{-6}  

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.

Step-by-step explanation:

1) Data given and notation      

\bar X=51.6 represent the sample mean

s=1.1 represent the standard deviation for the sample      

n=10 sample size      

\mu_o =48 represent the value that we want to test    

\alpha=0.05 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 score is higher than 48, the system of hypothesis would be:      

Null hypothesis:\mu \geq 48      

Alternative hypothesis:\mu > 48      

We don't know the population deviation, so for this case 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{\sigma}{\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{51.6-48}{\frac{1.1}{\sqrt{10}}}=10.349      

Calculate the P-value      

First we find the degrees of freedom:

df=n-1=10-1=9

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

p_v =P(t_9>10.349)=1.34x10^{-6}  

Conclusion      

If we compare the p value and the significance level given for example \alpha=0.05 we see that p_v so we can conclude that we reject the null hypothesis, and the the actual mean is significantly higher than 48 MPa at 5% of significance.        

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3 years ago
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