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alexdok [17]
3 years ago
8

Which shapes have the same volume as the given rectangular prism?base area = 50 cm^2​

Mathematics
1 answer:
icang [17]3 years ago
5 0

Answer:The first one

Step-by-step explanation:

V rectangular prism = Area of the base *5

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Describe this translation.
Aliun [14]

Answer:

The answer is B (3 units right)

Step-by-step explanation:

You pick a point in the triangle which does not have an apostrophe. Then you see the correspondent point to it and see how much it has moved and in this case it is 3 to right therefore the answer is B.

Hint: If the apostrophe is after the letter, it shows translation therefore it is the moved shape

3 0
3 years ago
An automobile dealer wants to see if there is a relationship between monthly sales and the interest rate. A random sample of 4 m
SVETLANKA909090 [29]

Answer:

a) y=-6.254 x +75.064  

b) r =-0.932

The % of variation is given by the determination coefficient given by r^2 and on this case -0.932^2 =0.8687, so then the % of variation explained by the linear model is 86.87%.

Step-by-step explanation:

Assuming the following dataset:

Monthly Sales (Y)     Interest Rate (X)

       22                               9.2

       20                               7.6

       10                                10.4

       45                                5.3

Part a

And we want a linear model on this way y=mx+b, where m represent the slope and b the intercept. In order to find the slope we have this formula:

m=\frac{S_{xy}}{S_{xx}}  

Where:  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}  

With these we can find the sums:  

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=278.65-\frac{32.5^2}{4}=14.5875  

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i){n}}=696.9-\frac{32.5*97}{4}=-91.225  

And the slope would be:  

m=\frac{-91.225}{14.5875}=-6.254  

Nowe we can find the means for x and y like this:  

\bar x= \frac{\sum x_i}{n}=\frac{32.5}{4}=8.125  

\bar y= \frac{\sum y_i}{n}=\frac{97}{4}=24.25  

And we can find the intercept using this:  

b=\bar y -m \bar x=24.25-(-6.254*8.125)=75.064  

So the line would be given by:  

y=-6.254 x +75.064  

Part b

For this case we need to calculate the correlation coefficient given by:

r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}  

r=\frac{4(696.9)-(32.5)(97)}{\sqrt{[4(278.65) -(32.5)^2][4(3009) -(97)^2]}}=-0.937  

So then the correlation coefficient would be r =-0.932

The % of variation is given by the determination coefficient given by r^2 and on this case -0.932^2 =0.8687, so then the % of variation explained by the linear model is 86.87%.

6 0
3 years ago
The solution of the equation 5-2x=-4x-7 is?​
butalik [34]

Answer: x=-6

Step-by-step explanation:

5-2x=-4x-7

5+2x=-7

2x=-12

X=-6

8 0
3 years ago
Help please <br> Help please
love history [14]

Answer:

1. 1,605

2. -605

3. 21,575

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Simplify to create an equivalent expression <br> −5(3p+3)+9(−7+p)
son4ous [18]

Answer: -6p - 78

Step-by-step explanation:

-5 (3p + 3) + 9(-7 + p)

-15p -15 - 63 + 9p

-6p-78

4 0
3 years ago
Read 2 more answers
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