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Nataly [62]
3 years ago
12

#13 Need help on number 13

Mathematics
1 answer:
antoniya [11.8K]3 years ago
4 0

The equation of a line can be written in the form y=mx+b, where m is the slope and b is the y-intercept.


Since you are looking for a line with a slope (m) of -3/4  and a y-intercept (b) of 5... the equation you want is y = -3/4 x + 5

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The dimensions of a 7-cm by 2-cm rectangle are<br> multiplied by 3. How is the area affected?
Soloha48 [4]

Answer:

Original rectangle:  Since the area of a rectangle is the length * width, the area of this rectangle is 7 * 2 = 14 square cm.

New rectangle: The new dimensions of this are 7*3 = 21 cm by 2*3 = 6 cm.  To find the area, we multiply these two together.  21*6 = 126 square cm.

126 is 9 times greater than 14, so the area will be multiplied by 9.

Step-by-step explanation:

3 0
3 years ago
Does anyone know the answer to this problem?
Mariana [72]

The regression equation is y = 16.585x - 639.769 and the linear correlation coefficient indicates a strong linear relationship

<h3>How to determine the regression equation?</h3>

To do this, we make use of a statistical calculator;

Using the statistical calculator, we have the following summary:

  • Sum of X = 554
  • Sum of Y = 4070
  • Mean X = 69.25
  • Mean Y = 508.75
  • Sum of squares (SSX) = 725.5
  • Sum of products (SP) = 12032.5
  • Correlation coefficient, r = 0.9768

The regression equation is

ŷ = bx + a

Where:

b = SP/SSX = 12032.5/725.5 = 16.58511

a = MY - bMX = 508.75 - (16.59*69.25) = -639.76912

Hence, the regression equation is y = 16.585x - 639.769

<h3>The number of cans sold at 90 degrees F</h3>

This means that"

x = 90

So, we have:

y = 16.585 * 90 - 639.769

Evaluate

y = 852.881

Approximate

y = 853

Hence, 853 cans were sold at 90 degrees F

<h3>The linear correlation coefficient</h3>

In (a), we have:

r = 0.9768

This means that the linear correlation coefficient is 0.9768

<h3>The conclusion</h3>

We have:

r = 0.9768

The above value is closer to 1 because

|r| > 0.9

i.e.

0.9768 > 0.9

Hence, the linear correlation coefficient indicates a strong linear relationship

Read more about regression at:

brainly.com/question/17844286

#SPJ1

6 0
1 year ago
Need help please !!Solve the inequality. Show your work please(:<br> 5y +16≤56
yan [13]
Hope this can help u

3 0
3 years ago
Read 2 more answers
Prove that one of every three consecutive positive integer is divisible by 3
Inessa05 [86]
Hello : 
all n in N ; n(n+1)(n+2) = 3a    a in  N  or : <span>≡ 0 (mod 3)
1 ) n </span><span>≡ 0 ( mod 3)...(1)

     n+1 </span>≡ 1 ( mod 3)...(2)
      n+2 ≡ 2 ( mod 3)...(3)
by (1), (2), (3)  : n(n+1)(n+2) ≡ 0×1×2   ( mod 3)   : ≡ 0 (mod 3)
2) n ≡ 1 ( mod 3)...(1)

     n+1 ≡ 2 ( mod 3)...(2)
      n+2 ≡ 3 ( mod 3)...(3)
by (1), (2), (3)  : n(n+1)(n+2) ≡ 1×2 × 3  ( mod 3)   : ≡ 0 (mod 3) , 6≡ 0 (mod)
 3) n  ≡ 2 ( mod 3)...(1)

     n+1 ≡ 3 ( mod 3)...(2)
      n+2 ≡ 4 ( mod 3)...(3)
by (1), (2), (3)  : n(n+1)(n+2) ≡ 2×3 × 4  ( mod 3)   : ≡ 0 (mod 3) , 24≡ 0      (mod3)
5 0
3 years ago
Bananas are .95/1 pound, what is the constant of proportionality?
Sidana [21]
Since y is .95 and x is 1 it is a unit rate which is the constant of proportionality.

Correct me if I am wrong.
7 0
2 years ago
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