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jarptica [38.1K]
2 years ago
12

Caroline needs to find 15% of $128, but she doesn't have a calculator. Thoroughly explain how she can do this mentally, detailin

g each step. Give the final answer.
Mathematics
1 answer:
IrinaK [193]2 years ago
5 0

Answer:

The correct answer is $19.2.

Step-by-step explanation:

Caroline needs to find 15% of $128, but she doesn't have a calculator.

Caroline should start by finding the value of 10 % of any number as it is given by dividing the number by 10. Therefore 10% of $128 is given by \frac{128}{10} = $12.8.

Now she can find the value of 5% of $128 which is given by dividing the 10% value of any number by 2. Thus 5% of $128 = \frac{12.8}{2} = $6.4

Thus to calculate the value of 15% of $128 is given by adding 10% of 128 and 5% of 128 = $ (12.8 + 6.4) = $ 19.2.

Thus the value of 15% of $128 is $19.2.

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The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 inches. Heights of men are normally dist
Maksim231197 [3]

Answer:b)0.8577

Step-by-step explanation:

Since the heights of men are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - u)/s

Where

x = heights of men

u = mean height

s = standard deviation

From the information given,

u = 69 inches

s = 2.8 inches

We want to find the probability that the mean height of the 100 men is less than 72 inches.. It is expressed as

P(x < 72)

For x = 72

z = (72 - 69)/2.8 = 1.07

Looking at the normal distribution table, the probability corresponding to the z score is 0.8577

P(x < 72) = 0.8577

7 0
1 year ago
Students who party before an exam are twice as likely to fail as those who don't party (and presumably study). If 20% of the stu
True [87]

Answer:

The fraction of the students who failed to went partying = \frac{1}{10}

Step-by-step explanation:

Let total number of students = 100

No. of students partied are twice the no. of students who not partied.

⇒ No. of students partied = 2 × the no. of students who are not partied

No. of students partied before the exam = 20 % of total students

⇒ No. of students partied before the exam = \frac{20}{100} × 100

⇒ No. of students partied before the exam =  20

No. of students who not partied before the exam = \frac{20}{2} = 10

Thus the fraction of the students who failed to went partying = \frac{10}{100} = \frac{1}{10}

8 0
2 years ago
Aubrey and Charlie are driving to a city that is 120 miles from their house. They have already traveled 20 miles, and they are d
mario62 [17]

Answer:

f(1.5) = _95_

The value indicates that after_1.5 hours_

hours of driving, Aubrey and Charlie will be_95_

miles from home.

Step-by-step explanation:

8 0
1 year ago
Prof. okamoto selects 3 different students to report on 3 different current events. if there are 27 students in the class, in ho
kenny6666 [7]
Consider this option:
C³₂₇=27!/(3!*24!)=25*13*9=2925 ways to select 3 students.
8 0
2 years ago
a teapot is 1/3 full of tea. When all of the tea is poured into an empty container, the container is 2/3 full. what fraction of
motikmotik
(1/3)t = (2/3)c, where "t" is for teapot and "c" is for the container.
Multiply both sides by (3/2) in order to get 1 on the right-hand side.
(3/2)(1/3)t = (3/2)(2/3)C
simplify the equation to get the answer which is:
(1/2) teacup = 1 full container.
Hope this helps :)
4 0
1 year ago
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