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sergiy2304 [10]
3 years ago
13

As part of a new fitness plan, Sabir walks on a treadmill at the same speed for 15 minuets every morning. The table shows the ca

lories he burns over time

Mathematics
1 answer:
Reil [10]3 years ago
7 0
The relationship between Sabir and calories he burns can be modeled using a linear function given by:
y=ax+b
where
a=slope
b=y-intercept
from the graph, the slope will be given as follows:
taking points (3,15) and (12,60)
a=(60-15)/(12-3)=5 calories/minute
thus using the slope and a point (3,15) the equation will be:
a(x1-x)=(y1-y)
plugging the values we obtain:
5(x-3)=y-15
5x-15=y-15
thus
y=5x
thus the equation is:
y=5x
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Please take a look at the picture. Please write your answer with an explanation.
Flauer [41]

Answer:

73

Step-by-step explanation:

Do the stuff in parenthesis first then do the stuff out of parenthesis EX:

4 to second power is 16 plus three is 19 plus two is 21 then add three to get 24 and seven to the second power is 49 add that and you get 73

7 0
2 years ago
Read 2 more answers
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
Write the expression in complete factored form. 2n^2(n-2) - a(n-2)
tatuchka [14]

Answer:

<h2>(n-2)(2n² - a)</h2>

Step-by-step explanation:

Given the expression 2n²(n-2) - a(n-2), to write this expression in a complete factor form, simply follow the instruction;

Let's assume the original expression has been broken down into that form in question, if we look at both terms, we will see that n-2 in parenthesis is common to both terms, we can therefore factor out n-2 from both terms as shown;

=  2n²(n-2) - a(n-2)

= n-2(2n² - a)

Hence the complete factor form of the expression is (n-2)(2n² - a) because the expression cannot be simplified any further.

7 0
3 years ago
Use the correct order of operation to solve the following problem 3x (50 - 6^2) ÷ 2 =
Effectus [21]

Answer: 21

Step-by-step explanation:

Ok so first of all the numbers in the parentheses go first.

So 6 to the power of 2 (6^2) would be 6x6 which equals 36

50-36=14

After that you just keep rewriting the problem after every step.

Since the 3 is outside of the parentheses, you would multiply it with the 14

3x14=42

Finally 42÷ 2=21

3x (50 - 6^2) ÷ 2 =

        3(14)÷ 2

           42÷ 2= <u><em>21</em></u>

<u><em></em></u>

<u><em></em></u>

<u><em>Hope this helps (:</em></u>

<u><em>Btw sorry if it's a bit confusing but the answer is 21</em></u>

6 0
3 years ago
A silo is constructed using a cylinder with a hemisphere on top. The circumference of the hemisphere and the circumference of th
Juli2301 [7.4K]

Answer:

The answer is 450 pi  square feet

Step-by-step explanation:

5 0
3 years ago
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