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kifflom [539]
4 years ago
7

Please help me with this question!! Thank you so much, it should be quick. I need to know what goes in the blank space above.

Mathematics
2 answers:
katovenus [111]4 years ago
4 0
Ratio works for the blank space. Since scale factor and ratio are synonyms. They both refer to the rate of change of something. 
Ipatiy [6.2K]4 years ago
3 0
If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal so the word would be ratio
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If mike gets paid today , than mike with go to the bank . Mike did not get paid today .
Bumek [7]
Remark
The problem with A and B is that one or the other is always possible. So one of them should be your answer.

Comment
This problem depends on whether or not you believe the two statements are connected in some way. 

Does he go to the bank to deposit money, or is that the only time he can go to the bank is on the days that he gets paid?

The problem is not clear enough to make a decision. So your answer is either B or D. 

I would say your safest choice is D. You don't know for certain what his motivations are.

D <<<<<<< answer.
3 0
3 years ago
A sound wave travels through iron at a rate of 5120\,\dfrac{\text{m}}{\text{s}}5120
kipiarov [429]

Answer:

18432\,km/h

Step-by-step explanation:

Given: A sound wave travels through iron at a rate of 5120\,m/s

To find: rate at which the sound wave travel in km/h

Solution:

Use the following units conversions.

1\,m=\frac{1}{1000}\,km

1\,s=\frac{1}{3600}\,h

Now convert 5120\,m/s into km/h

Therefore,

5120\,m/s=(\frac{5120}{1000})(3600)\\ =512(36)\\=18432\,km/h

6 0
4 years ago
Suppose X and Y are random variables with joint density function. f(x, y) = 0.1e−(0.5x + 0.2y) if x ≥ 0, y ≥ 0 0 otherwise (a) I
Hatshy [7]

a. f_{X,Y} is a joint density function if its integral over the given support is 1:

\displaystyle\int_{-\infty}^\infty\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy=\frac1{10}\int_0^\infty\int_0^\infty e^{-x/2-y/5}\,\mathrm dx\,\mathrm dy

=\displaystyle\frac1{10}\left(\int_0^\infty e^{-x/2}\,\mathrm dx\right)\left(\int_0^\infty e^{-y/5}\,\mathrm dy\right)=\frac1{10}\cdot2\cdot5=1

so the answer is yes.

b. We should first find the density of the marginal distribution, f_Y(y):

f_Y(y)=\displaystyle\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dx=\frac1{10}\int_0^\infty e^{-x/2-y/5}\,\mathrm dy

f_Y(y)=\begin{cases}\dfrac15e^{-y/5}&\text{for }y\ge0\\\\0&\text{otherwise}\end{cases}

Then

P(Y\ge8)=\displaystyle\int_8^\infty f_Y(y)\,\mathrm dy=e^{-8/5}

or about 0.2019.

For the other probability, we can use the joint PDF directly:

P(X\le5,Y\le8)=\displaystyle\int_0^5\int_0^8f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy=1+e^{-41/10}-e^{-5/2}-e^{-8/5}

which is about 0.7326.

c. We already know the PDF for Y, so we just integrate:

E[Y]=\displaystyle\int_{-\infty}^\infty y\,f_Y(y)\,\mathrm dy=\frac15\int_0^\infty ye^{-y/5}\,\mathrm dy=\boxed5

5 0
3 years ago
Consider the dot plot which shows the distribution of data collected on the number of pets at home. Which statement BEST describ
ioda
C) The mean Value is closer to the middle of the range than the Median

Hope this helped!
3 0
3 years ago
Read 2 more answers
Write the equation of a line that is parallel to y = –
frozen [14]

Answer:

y = -2x -7

Step-by-step explanation:

Plug in and Solve.

6 0
4 years ago
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