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Dvinal [7]
3 years ago
10

What is the coordinate (10,2) multiplied by two fifths equal

Mathematics
1 answer:
Ronch [10]3 years ago
6 0
I think it's (4,4/5).
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Simplify to a single power of 4:<br> 4^7/4^6
Temka [501]

Step-by-step explanation:

\frac{ {4}^{7} }{ {4}^{6} }

= 4

.......

4 0
3 years ago
Read 2 more answers
Which is the value of this expression when a=5 and k=-2
Zinaida [17]

Answer:

Option C is correct.

Step-by-step explanation:

We are given the expression:

(\frac{3^2a^{-2}}{3a^{-1}})^k

The value of a =5 and k = -2

Putting the values and solving

=(\frac{3^2*5^{-2}}{3*5^{-1}})^-2\\=(\frac{3^{2-1}}{5^{-1+2}})^-2\\=(\frac{3^{1}}{5^{1}})^-2\\\\=(\frac{3}{5})^-2\\if \,\,a^{-1} \,\,then\,\, 1/a\\=\frac{(3)^{-2}}{(5)^{-2}}\\ Can\,\,be\,\,written\,\,as\\\\=\frac{(5)^{2}}{(3)^{2}} \\=\frac{25}{9}

Option C is correct.

3 0
3 years ago
A researcher believes that the mean weight of competitive runners is about 140 pounds. A sample of 24 elite distance runners has
ExtremeBDS [4]

Answer:

t=\frac{136-140}{\frac{11}{\sqrt{24}}}=-1.781    

p_v =P(t_{(23)}  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is less than 140 pounds at 5% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=136 represent the sample mean

s=11 represent the sample standard deviation

n=24 sample size  

\mu_o =140 represent the value that we want to test

\alpha=0.01 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 less than 140, the system of hypothesis would be:  

Null hypothesis:\mu \geq 140  

Alternative hypothesis:\mu < 140  

If we analyze the size for the sample is < 30 and 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{136-140}{\frac{11}{\sqrt{24}}}=-1.781    

P-value

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

df=n-1=24-1=23  

Since is a one left tailed test the p value would be:  

p_v =P(t_{(23)}  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is less than 140 pounds at 5% of signficance.  

4 0
2 years ago
Paulo's economics course requires two papers ? ?one long and one short ? ?throughout the semester. The number of pages, l l, in
mixer [17]

Answer:

27 pages.

Step-by-step explanation:

Let l be the number of pages in the long paper and s be the number of pages in the short paper.

We have been given that the total number of pages for both papers is 40. We can represent this information in an equation as:

l+s=40...(1)

We are also told that the number of pages in the long paper is one more than two times the number of pages in the short paper. We can represent this information in an equation as:

l=2s+1...(2)

We will use substitution method to solve system of linear equations.

From equation (1) we will get,

s=40-l

Upon substituting this value in equation (2) we will get,

l=2(40-l)+1

l=80-2l+1

Upon adding 2l to both sides of our equation we will get,

l+2l=80-2l+2l+1

l+2l=80+1

3l=81

Let us divide both sides of our equation by 3 we will get,

\frac{3l}{3}=\frac{81}{3}

l=27

Therefore, there must be 27 pages in the long paper.

8 0
3 years ago
What is the answer to thirty nine times thirteen
laila [671]

The answer is 507.

hope this helps!

-Autumn Leaves

7 0
3 years ago
Read 2 more answers
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