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Dmitry_Shevchenko [17]
3 years ago
6

How do you simplify: 5(8 + 7) ? a. 75 b. 65 c. 47 d. 15

Mathematics
2 answers:
tia_tia [17]3 years ago
8 0

Answer:

C. 47

Step-by-step explanation:

5(8 + 7)

Expand the brackets. Brackets mean to multiply.

5(8 + 7)

5 * 8 + 7

= 40 + 7

= 47

VikaD [51]3 years ago
7 0
The answer is C.) 47
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Find the regression​ equation, letting the first variable be the predictor​ (x) variable. Using the listed​ lemon/crash data, wh
kakasveta [241]

The regression analysis evaluates the amount of relationship that exists

between the variables in the analysis.

  • The regression equation is; \underline{\overline y = -0.00255 \cdot \overline x + 16.47268}
  • The prediction is worthwhile because it gives an idea of the observed Crash Fatality Rate and it is therefore approximately correct.

Reasons:

First part;

The given data is presented as follows;

\begin{tabular}{|cc|c|}Lemon Imports (x) &&Crash Fatality Rate\\232&&16\\268&&15.7\\361&&15.4\\472&&15.5\\535&&15\end{array}\right]

The least squares regression equation is; \overline y =  b \cdot \overline x + c

Where;

b = \mathbf{\dfrac{\sum \left(x_i - \bar x\right) \times \left(y_i - \bar y\right) }{\sum \left(x_i - \bar x\right )^2 }}

\overline y = The mean crash fatality = 15.52

\overline x = The mean lemon import = 373.6

Therefore;

b = \dfrac{-171.36 }{67093.2 } = -0.00255

c = \overline y - b·\overline x = 15.52 - (-0.00255)×373.6 = 16.47268

Therefore;

  • The regression equation is \underline{\overline y = -0.00255 \cdot \overline x + 16.47268}

Second part;

When the imports is 425 metric tons of lemon, we have;

\overline y = -0.00255 × 425 + 16.47268 = 15.38893 ≈ 15.4

Therefore;

When the import is 425 metric tons, the Crash Fatality Rate ≈ 15.4

Given that the predicted value is between the values for 268 and 535, we

have that the prediction is approximately correct or worthwhile

<u>The prediction is worthwhile</u>

Learn more about regression equation here:

brainly.com/question/5586207

8 0
2 years ago
The angle θ lies in Quadrant II. sinθ=3/4 What is cosθ ?
Elden [556K]

Hello from MrBillDoesMath

Answer:

[email protected] = - sqrt(7)/ 4    

which is choice B

Discussion:

This problem can be solved by drawing triangles and looking at ratios of sides or by using the trig identity:

([email protected])^2 + (sin2)^2 = 1

If [email protected] = 3/4 , the

([email protected])^2 + (3/4)^2 = 1 =>              (subtract (3/4)^2 from both sides)

([email protected])^2 = 1 - (3/4)^2  = 1 - 9/16   = 7/16

So...... taking the square root of both sides gives

[email protected] =  +\- sqrt(7)/ sqrt(16) = +\- sqrt(7)/4

But is [email protected] positive or negative?  We are told that @ is in the second quadrant and cos(@) is negative in this quadrant, so our answer must be negative

[email protected] = - sqrt(7)/ 4    

which is choice B


Thank you,

Mr. B


4 0
3 years ago
The perimeter of a square is 52 meters. What is it area.
ValentinkaMS [17]

Answer:

169 meters

Step-by-step explanation:

52/4=13 (since it's a square you divide it by 4 because the sides are equal, so each side is 13 meters)

13^2=169 (to find the area you square the length of each side)

7 0
3 years ago
Find the value of x. 6 8 4 x
snow_tiger [21]
Answer:

3

Explanation:

4 is half of 8 on the right side, so that means X has to be half of 6, so it’s 3. Also, it couldn’t be 2 because it is too big, and it can’t be 4 because it isn’t the same length as the other 4, so it’s 3
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Help me please please now asap
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120 different 3digit numbers
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