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marissa [1.9K]
2 years ago
4

Between 9 AM and 10 AM one hundred airplanes depart from Newark Airport. Ten of the airplanes were delayed by an hour each. Of t

he remaining airplanes, half left on time and half were delayed by an average of 20 minutes. To the nearest whole minute, how long was the average flight delay?
A. 15.
B. 18.
C. 27.
D. 30.
E. 40.
Mathematics
1 answer:
S_A_V [24]2 years ago
7 0

Answer:

E. 40

Step-by-step explanation:

the average is the relationship between the sum of data and the number of data, in this case you have 100 planes of which 10 left with an hour delay (60min) and the rest (90 planes) half (45 planes) planes they left on time and the other half (45 aircraft) with 20 min delay , so average is equal to the sum of the data between the number of data .

P=(60+20)/2 = 40

In this case, only the airplanes whose events differ with the fact of leaving on time

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The average of five weights is 13 grams. This set of of five weights is then increased by another weight of 7 grams. What is the
Anastaziya [24]

Answer:

12

Step-by-step explanation:

You just find the total weight and divide it by the number of weights

3 0
2 years ago
1. Greg Forrester's charge account statement showed a previous balance 20 points
Slav-nsk [51]

Answer:

Option $152.19

Step-by-step explanation:

Data provided in the question:

Previous balance = $152.35

Finance charge = $1.78

New purchases of $45.23 and $15.67

Payment = $50.00

Credit = $12.84

Now,

New Balance

= [Previous balance + Finance charge + New purchases ] - [ Payments + Credits ]

= [ $152.35 + $1.78 + ($45.23 + $15.67) ] - [$50.00 + $12.84 ]

= $215.03 - $62.84

= $152.19

Hence,

Option $152.19

3 0
2 years ago
According to a study in a medical journal, 202 of a sample of 5,990 middle-aged men had developed diabetes. It also found that m
tekilochka [14]

Answer:

0.0588 = 5.88% probability that a middle-aged man with diabetes is very active

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has diabetes.

Event B: Is very active.

Probability of having diabetes:

To find this probability, we take in consideration that:

It also found that men who were very active (burning about 3,500 calories daily) were a fourth as likely to develop diabetes compared with men who were sedentary. Assume that one-fifth of all middle-aged men are very active, and the rest are classified as sedentary.

So the probability of developing diabetes is:

x of 4/5 = x of 0.8(not active)

x/4 = 0.25x of 1/5 = 0.2(very active). So

P(A) = 0.8x + 0.25*0.2x = 0.85x

Probability of developing diabetes while being very active:

0.25x of 0.2. So

P(A \cap B) = 0.25x*0.2 = 0.05x

What is the probability that a middle-aged man with diabetes is very active?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05x}{0.85x} = \frac{0.05}{0.85} = 0.0588

0.0588 = 5.88% probability that a middle-aged man with diabetes is very active

4 0
2 years ago
Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi
anyanavicka [17]

Question:

Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27\pi27π27, pi cm^3 3 start superscript, 3, end superscript of melted purple liquid. The radius of the cone is 333 cm. What is the height of the cone?

Answer:

The height of the cone is 9 \ cm

Explanation:

It is given that the radius of the cone is 3 \ cm

The volume of the cone is 27\pi

The height of the cone can be determine using the formula,  

$V=\frac{1}{3} \pi r^{2} h$

Substituting the values V=27 \pi and r=3, we get,

$27 \pi=\frac{1}{3} \pi(3)^{2} h$

Multiplying both sides by 3, we have,

$81 \pi= 9\pi h$

Dividing both sides by $9 \pi$, we have,

9=h

Thus, the height of the cone is 9 \ cm

4 0
2 years ago
Started at −20° and rose 1° each minute
storchak [24]

Answer:

-20+1 every minute

Step-by-step explanation:

8 0
2 years ago
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