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3 years ago

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Mathematics

1 answer:

meriva3 years ago

7 0

Answer:

C(4)=99.5

Step-by-step explanation:

398 divided by 4 is 99.5

4 is the number of sunglasses and therefore equals x.

So C(4)=99.50

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The speed at which a certain computer can access the internet is 2 megabytes per second. How fast is this in megabytes per hour.

Ainat [17]

$Converting\ units:\\\\ 2\frac{megabytes}{second}\\\\ 1second=\frac{1}{3600}h\\\\ 2\frac{megabytes}{second}*\frac{1}{\frac{1}{3600}}=2\frac{megabytes}{second}*\frac{3600}{1}=7200\frac{megabytes}{second}\\\\If\ 1second=\frac{1}{3600}\ you\ must\ multiply\ 2*\frac{1}{3600}\ to\ convert\ 1\ second\\ into\ hour.$

5 0

3 years ago

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The measure of one angle of an octagon is two times smaller that of the other seven angles. What is the measure of each angle?

Anestetic [448]

Answer:

7 of the angles measure 144 degrees each and one angle measures 72 degrees

Step-by-step explanation:

Let

x -----> represent the measures of the seven same-size angles,

x/2 ----> represent the measure of the one that is "two times smaller."

we know that

The sum of internal angles of a polygon can be calculated as:

$S=180^o(n-2)$

where

n is the number of sides of the polygon

In this case

n=8 (octagon)

substitute

$S=180^o(8-2)=1,080^o$

The linear equation that represent this problem is

$\frac{x}{2}+7x=1,080$

solve for x

$\frac{15x}{2}=1,080\\\\15x=2,160\\\\x=144^o$

$\frac{x}{2}=72^o$

therefore

7 of the angles measure 144 degrees each and one angle measures 72 degrees

7 0

2 years ago

A college basketball coach has 12 players on his team. eight players are receiving scholarships, and four are not. the coach dec

EleoNora [17]

Solution: The given problem is a binomial distribution.

The probability that a team member receives a scholarship is $\frac{8}{12} = 0.67$

Therefore, the given problem follows binomial with n = 5 and p = 0.6667

Now the probability that 4 of 5 players selected are on scholarship is:

$P(x=4) = \binom{5}{4} \times 0.6667^{4} (1-0.6667)^{5-4}$

$=5 \times 0.1976 \times 0.3333$

$=0.329$

Therefore, the probability that 4 of 5 players selected are on scholarship is 0.329

5 0

3 years ago

3. Classify the number: -4

BabaBlast [244]

Answer:

Aight.

Rational, Real, Integer, Negative

7 0

3 years ago

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Suppose that you are conducting a survey on how many students have blue eyes in each first period classroom at Garfield Middle s

rusak2 [61]

Answer:

The correct statement is the first one: The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean

Explanation:

To calculate how many standard deviations a particular value in a group is from the mean, you can use the z-score:

$z-score=(x-\mu )/\sigma$

Where:

$z-score$ is the number of standard deviations the value of x is from the mean

$\mu$ is the mean

$\sigma$ is the standard deviation

Substitute in the formula:

$z-score=(10-6)/2=4/2=2$

Which means that the number of blue-eyed students in Mr. Garcia's class is 2 standard deviations above the mean.

Above the mean is the same that to the right of the mean, because the in the normal standard probability graph the central value is Z = 0 (the z-score of the mean value is 0), the positive values are to the right of the central value, and the negative values are to the left of the central value.

Therefore, the correct statement is the first one: The number of blue-eyed students in Mr. Garcia's class is 2 standard deviations to the right of the mean,

4 0

3 years ago