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3241004551 [841]
2 years ago
5

GRADES On her first four quizzes, Rachael has earned scores of 21, 24, 23, and 17 points. What score must Rachael

Mathematics
1 answer:
Shkiper50 [21]2 years ago
3 0
Answer:
20

Explanation:
For the mean to be 21, the total of the 5 numbers must be 21*5= 105

To find what the final quiz score must be, we need to subtract the first 4 scores from 105. 105- 21- 24- 23- 17= 20

We can check this answer by finding the median of the 5 numbers now (17,20,21,24,23). The new median is 21 which means the final quiz score must be 20!

Hope this helped! :)
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A man drive 250 miles on 2.5 hours.if the posted speed limit was 75 mph the entire way, approximately how many miles per hour ov
kow [346]

Answer:

He was going 25 miles over the speed limit.

Step-by-step explanation:

250 miles in 2.5 hours is 250/2.5. That equals 100

100-75=25

4 0
2 years ago
Explain how solving $2x<-8$ is different from solving $-2x<8$ .
miv72 [106K]

Answer:

When we divide by a negative value, the sign for the inequality changes.

Step-by-step explanation:

2x < -8, to solve we would divide by 2 and receive x < -4. However, in solving -2x < 8, we would divide by negative 2, which would result in x > -4. Clearly, these sequences provide opposite answers and that is a rule to inequalities, that when dividing by a negative number, we must flip the less than/greater than sign.

6 0
2 years ago
A box of Georgia peaches has 3 bad and 12 good peaches. (a) If you make a peach cobbler of 12 peaches randomly selected from the
Eddi Din [679]

Answer:

a) 0.21% probability that there are no bad peaches in the peach cobbler.

b) 99.79% probability of having at least 1 bad peach in the peach cobbler

c) 7.91% probability of having exactly 2 bad peaches in the peach cobbler.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

The order in which the peaches are chosen is not important. So the combinations formula is used to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

(a) If you make a peach cobbler of 12 peaches randomly selected from the box, what is the probability that there are no bad peaches in the peach cobbler?

Desired outcomes:

12 good peaches, from a set of 12. So

D = C_{12,12} = \frac{12!}{12!(12 - 12)!} = 1

Total outcomes:

12 peaches, from a set of 15. So

T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455

Probability:

p = \frac{D}{T} = \frac{1}{455} = 0.0021

0.21% probability that there are no bad peaches in the peach cobbler.

(b) What is the probability of having at least 1 bad peach in the peach cobbler?

Either there are no bad peaches, or these is at least 1. The sum of the probabilities of these events is 100%. So

p + 0.21 = 100

p = 99.79

99.79% probability of having at least 1 bad peach in the peach cobbler

(c) What is the probability of having exactly 2 bad peaches in the peach cob- bler?

Desired outcomes:

2 bad peaches, from a set of 3.

One good peach, from a set of 12.

D = C_{3,2}*C_{12,1} = \frac{3!}{2!(3-2)!}*\frac{12!}{1!(12 - 1)!} = 36

Total outcomes:

12 peaches, from a set of 15. So

T = C_{15,12} = \frac{15!}{12!(15 - 12)!} = 455

Probability:

p = \frac{D}{T} = \frac{36}{455} = 0.0791

7.91% probability of having exactly 2 bad peaches in the peach cobbler.

3 0
3 years ago
In the diagram, is a diameter of the circle with center O. If m = 50°, what is m?
ololo11 [35]
<span>180-90-50=40 degrees</span>
8 0
2 years ago
If m∠BAC = 98°, what is m∠BDC?
Leviafan [203]
I believe it's also 98 degrees, because the are symmetrical.
5 0
3 years ago
Read 2 more answers
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