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stiv31 [10]
4 years ago
5

A class of 31 students average 82 on a recent exam. Two students were absent and took the exam the next day. The two students av

erage 88 on their exam. What was the average for the entire class, including the two students who took the test one day later?
Mathematics
2 answers:
dedylja [7]4 years ago
4 0

Find the total points for each group:

31 students averaged 82, so the total points were 31 x 82 = 2542

2 students averaged 88, so the total points were 2 x 88 = 176

Now add the total points and divide by 33 students (31 +2):

2542 + 176 = 2718

2718 / 33 = 82.36

The average is 82.36 ( Round as needed).

goldenfox [79]4 years ago
4 0

31 students averaged 82, sum was 31 x 82 = 2542

2 students had an average of 88, sum is 2 x 88 = 176

2542 + 176 = 2718 (total points)

2718 / 33 = 82.36--> average

The average is 82.36

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A man bought 42 stamps, some 13¢ and some 18¢. How many of each kind did he buy if the cost was $6.66?
OverLord2011 [107]
Let's call the 13¢ stamps a and the 18¢ stamps b: a+b = 42 and therefore a= 42-b (formula 1) 0.13a+0.18b= 6.66 In this formula, substitute the value of a according to formula 1: 0.13(42-b)+0.18b= 6.66 Multiply on the left to get rid of the parenthesis: 5.46-0.13b+0.18b= 6.66 Subtract 5.46 from both sides: -0.13b+0.18b= 1.20 Add on the left: 0.05b= 1.20 Divide both sides by 0.05 b= 24 You have 24 18¢ stamps and: 42-24= 18 13¢ stamps Check: (24 x 0.18) + (18 x 0.13)= 6.66 Correct.
5 0
3 years ago
Plz help<br> (5 x 10^3)(3.5 x 10^-1
stellarik [79]

Answer:1750

Step-by-step explanation:

5 0
3 years ago
I would really appreciate it if someone could answer these as i'm really stuc and its due for tomorrow.
k0ka [10]
1. Round 50.75 to 50 and 0.18 to 0.20.
50 x 0.2 = 10

2) Round 96 to 100 and 0.499 to 0.5
100 divided by 0.5 = 50

3a) Round 8.2 to 8, 6.7 to 7, and 0.46 to 0.50
8 x 7 divided by 0.50 = 112

3b) Round 23.4 to 20, 13.9 to 10, and 0.18 to 0.20
20 x 10 divided by 0.20 = 2,000

7 0
4 years ago
A line is shown in the graph below.
Kay [80]

Answer:

-3/2

Step-by-step explanation:

One can read off the slope of the given line directly from the graph.  As x increases by 3, y increases by 2.  Thus, the slope of the given line is

m = rise / run = 2 / 3

Any line perpendicular to this given line has a slope which is the negative reciprocal of the slope previously found:

                                                      -1              3

Slope of perpendicular line = ------------ = - -----

                                                     2/3             2

This matches the first of the given possible answer choices.

5 0
3 years ago
According to the American Community Survey, 27% of residents of the United States 25 years old or older had earned a bachelor de
oksian1 [2.3K]

a. The reason why this question is a binomial experiment is based on the fact that it is made up of an independent sample, it has a number that is fixed and a probability.

Each event is made up of two outcomes and they are random with the same success rate.

<h3>b. How to solve probability that exactly 5 had a bachelor</h3>

we have the following data n = 12, p = 0.27 and k = 5

We have to use the function to solve electronically

binompdf(n,p,k)

input the values

= binompdf(12,0.27,5)

This gives us

= 0.1255

<h3>(C) Probability that fewer than 5 have bachelor</h3>

We use the formula below

= binompdf(12,0.27,5-1)

This is = 0.7984

D. Probability of at least 5

1 - probability of fewer than 5

= 1 - 0.7984

= 0.2016

How to solve for the Mean = n*p

n = 12 , p = 0.27

Mean = 12*0.27 = 3.24

and

standard deviation = √npq

n = 12, p = 0.27 , q = 1- 0.27

= 0.73

sd = √12*.27*.73

= 1.54

Read more on binomial experiment here:

brainly.com/question/9325204

#SPJ1

3 0
2 years ago
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