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Yanka [14]
2 years ago
11

What is the equation of a line perpendicular to the line given by y = (3/7)x+ 9

Mathematics
1 answer:
Nikolay [14]2 years ago
7 0

Answer:

B) y = (-7X/5) + 4

Step-by-step explanation:

Recall two lines are perpendicular if their slopes are negative reciprocals (5/7 goes to -7/5).

Assuming in the form y = mx + b:

Solving for b:

-7/5(-5) + x = 11

(5's & negatives cancel out...)

7 + x = 11

x = 4

y = -7/5x + 4

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The scores of 1000 students on a standardized test are normally distributed with a mean of 50 and a standard deviation of 5. wha
ra1l [238]
We are looking to find P(X>60 students)

X is normally distributed with mean 50 and standard deviation 5

We need to find the z-score of 60 students 
Z= \frac{60-50}{5}=2

To find the probability of P(Z>2), we can do 1 - P(Z<2)
So we read the probability when Z<2 which is 0.9772, then subtract from one we get 0.0228

The number of students that has score more than 60 is 0.0228 x 1000 = 228 students
3 0
3 years ago
Given h(x) = 5x -1, find h(1).
Norma-Jean [14]
H(1) = 4


h(1)= 5 x 1 -1
=5-1
=4
hope that helps <3
5 0
3 years ago
Estimate the sum of 23 and 71
Natali [406]
Estimation:

23 --> rounded to 20
71 --> rounded to 70
70 + 20 = 90. I rounded both numbers down so the exact sum must be only a little greater than my estimate.
8 0
3 years ago
Read 2 more answers
Yao Xin puts 3/10 liters of potting soil in each pot for planting flowers. She has 17/3 liters of potting soil. How many pots ca
kari74 [83]

For this case defining variables we have:

x: total amount of liters of potting soil.

y: number of liters of potting soil in each pot.

We have then to find the number of pots we use the following expression:

N = \frac{x}{y}

Substituting values we have:

N = \frac{\frac{17}{3}}{\frac{3}{10}}

Rewriting we have:

N = \frac{170}{9}

N = 18.8

Rounding to the previous whole we have:

N = 18

Answer:

Yao Xin can fill 18 pots

4 0
3 years ago
Select 2 strategies that we can use to add 438 + 362.
yarga [219]

Answer:

Add 438 + 2 + 60 + 300

440 + 360

Step-by-step explanation:

The last one does not add up to 800

Good luck <3

8 0
3 years ago
Read 2 more answers
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