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KATRIN_1 [288]
3 years ago
11

Find the distance from point M to point N on the graph shown. Round your answer to

Mathematics
1 answer:
Anestetic [448]3 years ago
7 0

Answer:

3. 8.60 units

Step-by-step explanation:

Distance from point M(-2, 4) to point N(5, -1) can be calculated using the distance formula, d = \sqrt{(x_{2}  - x_1)^2 + (y_2 - y_1)^2}

M(-2, 4) => (x1, y1)

N(5, -1) => (x2, y2)

Plug in the values into the formula

d = \sqrt{(5 - (-2))^2 + (-1 - 4)^2}

d = \sqrt{(7)^2 + (-5)^2}

d = \sqrt{49 + 25}

d = \sqrt{74}

d = 8.60 units

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Find the first step for solving the system by substitution.... X = 4y - 1<br> and 9x - 5y = -22
salantis [7]
Answer:

Step 1: 9(4y-1)-5y=-22
4 0
3 years ago
The average score of all high school students in math and science is 150 with a standard deviation of 25. A random sample of 125
Evgesh-ka [11]

Answer:

The difference is significative we reject H₀

Step-by-step explanation:

Normal Distribution

Population mean            X₁    =  150

Population standard deviation       σ  =  25

Sample size        n   =  125

Sample mean     X₂   =  158

1.-CI =  95 %   significance level    α  =  5%    α = 0,05

From z-table α = 0,05    z(c)  =   1,64    ( the test is one-tail test to the right)

2.-Hypothesis Test

Null Hypothesis                                    H₀        X₂  =  X₁

Alternative Hypothesis                        Hₐ        X₂  >  X₁

3.-To compute z(s)

z(s)  =  ( X₂  -  X₁ ) / σ/√n

z(s)  =    8 * 11,14 /25

z(s)  =  89,12/25

z(s)  = 3,56

4.- Comparing  z(s)  and z(c)

z(s)  > z(c)

Then z(s) is in the rejection region we reject H₀

7 0
3 years ago
What integer would represent "32 degrees below zero"?
Alja [10]

Answer:

-32

Step-by-step explanation:

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7 0
3 years ago
Write the equation of the line shown on the graph in slope-intercept form.
Naddika [18.5K]

Answer:

y = x -3  

Step-by-step explanation:

1) First, find the slope by using the slope formula, m = \frac{y_2-y_1}{x_2-x_1}. We can see that the two points marked on the line are (0, -3) and (3,0). So, substitute the x and y values of those points into the formula and solve:

m = \frac{(0)-(-3)}{(3)-(0)} \\m = \frac{0+3}{3-0} \\m = \frac{3}{3} \\m=1

So, the slope is 1.

2) Slope-intercept form is represented by the formula y = mx+b. Substitute values for m and b in order to write an equation.

Substitute 1 for m since it represents the slope. Substitute -3 for b since it represents the y-intercept. (Remember that the y-intercept is the point at which the line intersects the y-axis. So, by looking at the graph provided, we can see that (0,-3) is the y-intercept without doing any calculations.) This gives the following answer:

y = x -3

7 0
3 years ago
What is another way to write 32 past 8 o clock
Furkat [3]

Answer:

8.32 am / pm

Step-by-step explanation:

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7 0
4 years ago
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