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3 years ago

Promotional and selling activities account for $52.50 of the price of a $700 item. What percent is that?

Mathematics

1 answer:

Westkost [7]3 years ago

7 0

We are given : Promotional and selling activities account value = $52.50.

The actual price = $700.

52.50 of $700 could be written in fraction form as

52.50/700.

If we divide 52.70 by 700, we get a decimal value 0.075.

In order to convert it into percentage, we need to multiply that decimal number we got, by 100.

On multiplying 0.075 by 100, we get

0.075 * 100 = 7.5.

Therefore, $52.50 of $700 is 7.5%

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A consumer organization estimates that over a 1-year period 20% of cars will need to be repaired once, 5% will need repairs

gtnhenbr [62]

Answer:

a) 0.5476

b) 0.0676

c) 0.4524

Step-by-step explanation:

Given this information, we can conclude that 74% of the cars won't need any repairs over a 1-year period (100 - 20 - 5 - 1 = 74%). And 26% will need at least 1 repair over a 1-year period.

P(car doesn't need repair) = 0.74

P (car needs repair) = 0.26

If you own two cars, the probability that:

a) Neither will need repair:

We need that car 1 won't need repair AND car 2 won't need repair.

=P(Car 1 doesn't need repair) x P(Car 2 doesn't need repair)

= 0.74 x 0.74 = 0.5476

The probability that neither will need repair is 0.5476.

b) Both will need repair:

We need that car 1 needs repair AND car 2 needs repair.

P(Car 1 needs repair) x P(Car 2 needs repair)

= 0.26 x 0.26 = 0.0676

The probability that both will need repair is 0.0676

c) At least one car will need repair

Car 1 needs repair or Car 2 needs repair or both need repair.

To solve this one, it's easier to use the complement of P(neither needs repair)

1 - P(neither needs repair)

1 - (0.74)(0.74) = 1 - 0.5476 = 0.4524

The probability that at least one car will need repair is 0.4524

4 0

3 years ago

Does anyone know this?

Neko [114]

"c" is the hypotenuse of the largest triangle, and "a" is that triangle's shortest side. Thus the ratio is

... (longest side)/(shortest side)

Since all the triangles in the figure are similar, to complete the proportion, you need to recognize the triangle that "a" is the longest side of, then find the shortest side of that triangle.

"a" is the longest side (hypotenuse) of the smallest triangle. The shortest side of that triangle is "r". So, your proportion is ...

... c/a = a/r

The appropriate choice is the 2nd one, ...

... r

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4 years ago

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iris [78.8K]

Answer:

Step-by-step explanation:

The ray created by line BC has two 180° sides. Side AC intersects this ray and forms two angles. We can find this second angle by subtracting 148 from 180 to get 32.

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3 years ago

Read 2 more answers

Many people feel that the drying of pavement marking paint is much too slow. You spend several days looking for the fastest dryi

slavikrds [6]

Answer:

Step-by-step explanation:

Using Simple Random Sampling, we can estimate the sample size by the formula

$\bf n=\frac{Z^2S^2}{e^2}$

where

n = sample size

Z = the z-score corresponding to the confidence level 99.5%

S = the assumed standard deviation = 3 seconds

e = margin of error = 2 seconds

It is worth noticing that the higher the confidence level, the larger the sample should be.

The z-score corresponding to a confidence level of 99.5% can be obtained either with a table or the computer and equals

Z = 3.023

Replacing the values in our formula

$\bf n=\frac{(3.023)^23^2}{2^2}=20.5616\approx 21$

So the size of the sample should be at least 21.

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