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Strike441 [17]
3 years ago
5

10% of the students in a school like the color purple. 162 students don't like the color purple. How many students are in the sc

hool?
Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0

Answer:

There are 180 students at the school

Step-by-step explanation:

If 10% of the students like the color purple, then 100-10 = 90% do not like the color purple.

Students * percentage that do not like = students that do not like

students * 90% = 162

Change to decimal form

students *.90 = 162

Divide each side by .90

students *.90/.90 = 162/.90

students = 180

There are 180 students at the school

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Point O is the center of the accompanying figure. Find x
geniusboy [140]

We can find x only if we know that the figure is a REGULAR octagon, i.e. an octagon with all sides equal, and all interior angles equal.


We will ASSUME that the figure is a regular octagon.


For a regular polygon, the central angle subtended by each side is equal.

The central angle is 360 degrees.

So the central angle subtended by a single side euqals

a=360 degrees / 8 sides = 45 degrees / side

Since x is the total angle subtended by three sides, so

x=3*45=135 °


6 0
4 years ago
1 yard = 3 feet 1 foot = 12 inches 1 inch = 2.54 cm Convert 2 yards to centimeters (round to the nearest whole centimeter). A) 3
Helga [31]

Answer:

The conversion of 2 yards into centimeter is 183 centimeter .

Option (D) is correct .

Step-by-step explanation:

As given

1 yard = 3 feet

1 foot = 12 inches

1 inch = 2.54 cm

Take

1 inch = 2.54 cm

Mutiply above by 12.

1 × 12  inch = 2.54 × 12 cm

12 inch = 30.48 cm      (As  1 foot = 12 inches )

Thus

1 foot = 30.48 cm

Multiply above by 3

1 × 3 foot = 30.48 × 3 cm

3 foot = 91.44 cm              (As 1 yard = 3 feet )

1 yard = 91.44 cm

Thus the relationship between the yard and centimeter is given by.

1 yard = 91.44 cm

Now convert  2 yards to centimeters .

2 yards = 2 × 91.44 centimeters

             = 182.88

             = 183 centimeter (Approx)

Therefore the conversion of 2 yards into centimeter is 183 centimeter .

Option (D) is correct .


8 0
3 years ago
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Identify the range for the function.
Vilka [71]

Answer:

x= +2

f(x)= +8

Step-by-step explanation:

:3

5 0
3 years ago
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How many eighths are in 5 5/8? use your answer to rewrite 5 5/8 in the form /8
HACTEHA [7]
There are 45 eigths in 5 5/8 because 5*8 + 5 = 45
therefore 5 5/8 = 45/8
7 0
3 years ago
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Each day, Robin commutes to work by bike with probability 0.4 and by walking with probability 0.6. When biking to work injuries
kvasek [131]

Answer:

64.65% probability of at least one injury commuting to work in the next 20 years

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}


In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Each day:

Bikes to work with probability 0.4.

If he bikes to work, 0.1 injuries per year.

Walks to work with probability 0.6.

If he walks to work, 0.02 injuries per year.

20 years.

So

\mu = 20*(0.4*0.1 + 0.6*0.02) = 1.04

Either he suffers no injuries, or he suffer at least one injury. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1). Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}


P(X = 0) = \frac{e^{-1.04}*1.04^{0}}{(0)!} = 0.3535


P(X \geq 1) = 1 - P(X = 0) = 1 - 0.3535 = 0.6465

64.65% probability of at least one injury commuting to work in the next 20 years

3 0
3 years ago
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