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Anastaziya [24]
3 years ago
10

Kim drew the diagram below to find x, the length of the pole holding up the stop sign that is at an angle with the ground as sho

wn.
Mathematics
1 answer:
Nadya [2.5K]3 years ago
7 0

Answer:

the length of the pole is 9.90 feet.

Step-by-step explanation:

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Find the equation of the line
amm1812

Answer:

y = 2x - 7

Step-by-step explanation:

The question is asking for slope-intercept form, y = mx + a.

Given:

(1, -5) and (9, 11)

Find the slope (m) between the two points:

m = (y2 - y1) / (x2 - x1)

x1 = 1

x2 = 9

y1 = -5

y2 = 11

m = ( 11 - (-5) )/(9 - 1)

= 16/8

m = 2

y = 2x + a

Use one of the two points to find a (I will use (1, -5)):

-5 = 2(1) + a

-5 = 2 + a

-7 = a

a = -7

y = 2x + (-7)

y = 2x - 7

7 0
2 years ago
The following data was collected to explore how the average number of hours a student studies per night and the student's GPA af
Mekhanik [1.2K]

Answer:

Pvalue = 0.1505

y = 0.550x1 + 3.600x2 + 7.300

Step-by-step explanation:

Given the data :

Study Hours GPA ACT Score

5 4 27

5 2 18

5 3 18

1 3 20

2 4 21

Using technology, the Pvalue obtained using the Fratio :

F = MSregression / MSresidual = 30.228571/ 8.190476 = 3.69

The Pvalue for the regression equation is:

Using the Pvalue from Fratio calculator :

F(1, 3), 3.69 = 0.1505

Using the Pvalue approach :

At α = 0.01

Pvalue > α ; Hence, we fail to reject H0 and conclude that ; There is not enough evidence to show that the relationship is statistically significant.

The regression equation :

y = A1x1 + A2x2 +... AnXn

y = 0.550x1 + 3.600x2 + 7.300

x1 and x2 are the predictor variables ;

y = predicted variable

8 0
3 years ago
If six more than the product of a number and -2 is greater than 10, which of the following could be that number
laiz [17]
To get that number in the problem, you need to translate first the word problem into mathematical expression.

We will let x as the number.
six more than the product of a number and -2 is greater than 10 can be written as  (-2x) + 6 > 10
We will now solve for x to get the number.
         (-2x) + 6 > 10
Add -6 to both sides of the equation
      -2x + 6 - 6 > 10 - 6
                  -2x > 4
Divide both sides of the equation with -2
Take note that if we divide a negative number in inequality, the inequality symbol will be change from greater than to less or from less than to greater than.
             -2x / -2< 4 / -2
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Therefore, the number that we are looking for is less than -2.

 

7 0
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Answer:

700

Step-by-step explanation:

7 0
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