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svp [43]
3 years ago
14

An instructor of a large college class gave an exam that has a possible total of 100 points. The instructor records the scores o

f 100 students from his class and produced the following histogram. The instructor says any score above a 90 is an A. Scores in the 80 to 89 range would be a B, scores between 70 and 79 would yield a C and below 70 would result in a failing grade.Which of the following are true?Select all that apply.a.The median grade lies between 76 and 84.b.The median grade is greater than the mean grade.c.The median grade is an Ad.The median grade is a B.e.The mean grade is greater than the median grade.f.The mean grade and the median grade are equal.
Mathematics
1 answer:
pishuonlain [190]3 years ago
4 0

Answer:

(a) the median grade lies between 76 and 84

(b) the Median grade is greater than the mean grade.

(d) the median grade is a B

Step-by-step explanation:

consider the histogram carefully and answer.

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Given triangle PRS is congruent to triangle CFH, find the values of x, y, and z.
Mashutka [201]

Answer:

x = 23

y = 7

z = 11

Step-by-step explanation:

Since ∆PRS ≅ ∆CFH, therefore,

m<R = m<F

13y - 1 = 90° (substitution)

Add 1 to both sides

13y - 1 + 1 = 90 + 1

13y = 91

Divide both sides by 13

13y/13 = 91/13

y = 7

Since ∆PRS ≅ ∆CFH, therefore,

PS = CH

2x - 7 = 39 (substitution)

Add 7 to both sides

2x - 7 + 7 = 39 + 7

2x = 46

Divide both sides by 2

2x/2 = 46/2

x = 23

Since ∆PRS ≅ ∆CFH, therefore,

m<S = m<H

Find m<S

m<S = 180 - (m<P + m<R) (sum of ∆)

m<S = 180 - (28 + (13y - 1)) (substitution)

Plug in the value of y

m<S = 180 - (28 + (13)(7) - 1))

m<S = 180 - (28 + 91 - 1)

m<S = 180 - 118

m<S = 62°

Therefore, since m<S = m<H,

62° = 6z - 4 (substitution)

Add 4 to both sides

62 + 4 = 6z - 4 + 4

66 = 6z

Divide both sides by 6

66/6 = 6z/6

11 = z

7 0
3 years ago
Find the slope of the line. 5x – 2y = 7
nika2105 [10]

Answer:

Final answer is slope m=\frac{5}{2}

Step-by-step explanation:

Given equation is 5x-2y=7

Now question says to find the slope.

Since given equation 5x-2y=7 is a linear equation so we need to compare 5x-2y=7 with slope intercept formula y=mx+b to get the value of slope m.

Since 5x-2y=7 is not in that form so first let's rewrite it in y=mx+b form

5x-2y=7

-2y=-5x+7

y=\frac{-5x+7}{-2}

y=\frac{5}{2}x-\frac{7}{2}

Now comparing with y=mx+b, we get m=\frac{5}{2}

Hence final answer is slope m=\frac{5}{2}

8 0
3 years ago
Read 2 more answers
Six years from today you need $10,000. you plan to deposit $1,500 annually, with the first payment to be made a year from today,
Novosadov [1.4K]
Like this variation of the problem! :)

We calculate the future value of the 6 annual deposits of $1500 at 8%:
F=1500(1.08^6-1)/(0.08)=11003.89
Since the last payment is due on the day of withdrawal, he would have paid $1500 to get back $11003.89, i.e. with an excess of 1003.89.
Therefore his last payment is 1500-1003.89=$496.11
3 0
3 years ago
statistics : 1. Here are the average temperatures in Houston, TX for each month in 2014 (measured in oF): please answer the ques
Bad White [126]
A. Range=highest-lowest. 85-53=32
b. Mean=average. Add all of the numbers together then divide by 12, you get about 70.2
c. Median is the middle number, or average of middle 2 numbers. average of 63 and 70 is 66.5.
d. There are 5 months with temperature less than 70, so the chance is 5/12
5 0
3 years ago
Read 2 more answers
What is the slope of the line show below?
stellarik [79]

Algebra form: y1 - y2, and x1 - x2.

( 2 - 1 ) ( 6 - 3 ).

= 1/3.

slope = 1/3.

6 0
3 years ago
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