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Bad White [126]
3 years ago
14

What is the slope-intercept form of the equation of the line that passes through the point (–6, 1) and is perpendicular to the g

raph of 2x + 3y = –5?
y = x – 8
y = x + 1
y = x + 1
y = x + 10
Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0

Answer:

Step-by-step explanation:

3y = -2x - 5

y = -2/3x - 5/3

perp: 3/2

y - 1 = 3/2(x + 6)

y - 1 = 3/2x + 9

y = 3/2x + 10

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I need to send photos.
frez [133]

SOLUTION:

Step 1:

From the given question, and comparing the scores in classes A and B

Step 2:

Question one, to know the class which had the better overall result on the exam;

(I) The scores in class A ranges from 65 to 100, while that of class B ranges from 60 to 90. This explains that class A had better results.

(ii) The median of the scores in class A is 85, while the median of the scores in class B is 75, this is another piece of supporting evidence that class A had better results.

Step 3:

Question two, to know the class which had greater variability in the results;

For a better understanding of this question, I need to explain the concept of variability in statistics.

Variability in statistics refers to the difference being exhibited by data points within a data set, as related to each other or as related to the mean. This can be expressed through the range, variance or standard deviation of a data set.

Step 4:

So we need to find the range of scores in each of the two classes and then compare, the class with the greater range has the greater variability.

The Range is the difference between the lowest and highest score (H - L), where H is the highest score and L is the lowest score.

Step 5:

Applying the formula for range stated in step 4;

For Class A; H = 100 and L = 65

For Class B; H = 90 and L = 60

The range for class A; H - L = 100 - 65 = 35

The range for class B; H - L = 90 - 60 = 30

By comparing the range of class A and that of B, it is clear that Class A had a greater range (variability)

CONCLUSION:

Class A had better overall results in the exam and greater variability in the results.

6 0
10 months ago
Find 5 rational numbers between -3/4 and 5/6
insens350 [35]

Answer:

1/2, 1/3, 1/4, 1/5, 1/6

Step-by-step explanation:

6 0
3 years ago
How long is the rail? Round your answer to the nearest tenth.
ziro4ka [17]

Answer:

D. 15.7 yards

Step-by-step explanation:

The safety rail makes a curved side of a quarter circle.

The length of the safety rail = circumference of the curved part only of a quarter circle = ¼*2πr

Where,

radius = 10 yards

π = 3.14

Plug in the values

= ¼*2*3.14*10

= 15.7 yards.

✅The rail is 15.7 yards long.

8 0
2 years ago
QUICK PLZZ!!! If m<ABD = 71°, what are m<ABC and m<DBC?​
suter [353]

Answer:

m<ABC = 45

m<DBC = 34°

Step-by-step explanation:

Given:

m<ABD = 79°

m<ABC = (8x - 3)°

m<DBC = (5x + 4)°

Step 1: Generate an equation to find the value of x

m<ABC + m<DBC = m<ABD (angle addition postulate)

(8x - 3) + (5x + 4) = 79

Solve for x

8x - 3 + 5x + 4 = 79

13x + 1 = 79

Subtract 1 from both sides

13x + 1 - 1 = 79 - 1

13x = 78

Divide both sides by 13

x = 6

Step 2: find m<ABC and m<DBC by plugging the value of x into the expression of each angle

m<ABC = (8x - 3)°

m<ABC = 8(6) - 3 = 48 - 3 = 45°

m<DBC = (5x + 4)°

m<DBC = 5(6) + 4 = 30 + 4 = 34°

Step-by-step explanation:

!!

7 0
2 years ago
How to find the time
FrozenT [24]
Use I=PRT/100 to solve the question
7 0
3 years ago
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