MATHEMATICS HIGH SCHOOL

A member was charged 260$usd and then applied for financial aid and received a 30% discount . They reach out and ask for the 30% to be refunded from their recent charge . How much would the total charge be with the discount? How much would the refund be ?

Answers

Answer 1

Answer:

The total charge with the discount is $182

The refund is $78

Step-by-step explanation:

Given data

Charge= $260

Discount=30%

Let us find the amount of the 30%

=30/100*260

=0.3*260

=$78

The new charge after the discount is

=260-78

=$182

The total charge with the discount is $182

The refund is $78

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??

Answers

Pretty sure it’s 42.5 cm.

What is 64x6 + 27 written as a sum of cubes?(4x)3 + 33
(4x2)3 + 33
(4x2)3 + 93
(4x3)3 + 33

Answers

64x^6 + 27

sum of cubes:
64 = ∛64 = 4
x^6 = (x²)³
27 = ∛27 = 3

(4x²)³ + 3³ 2nd option

Answer:

option B

Step-by-step explanation:

edge 2023

When Tyler runs the 400 meter dash, his finishing times are normally distributed with a mean of 76 seconds and a standard deviation of 2.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 99.7% of his finishing times in the 400 meter race

Answers

Answer:

$\mu -3\sigma = 76 -3*2.5 = 68.5$

$\mu +3\sigma = 76 +3*2.5 = 83.5$

So then we expect the 99.7% of the finishing times would be between 68.5 s and 83.5 s for the 400 meters race

Step-by-step explanation:

Let X the random variable who represent the finishing times.

From the problem we have the mean and the standard deviation for the random variable X. $E(X)=76, Sd(X)=2.5$

So then the parameters are $\mu=76,\sigma=2.5$

On this case in order to check if the random variable X follows a normal distribution we can use the empirical rule that states the following:

The probability of obtain values within one deviation from the mean is 0.68, within two deviations we have 0.95 and within 3 deviations from the mean is 0.997

And from this rule we have 99.7 % of the values within 3 deviations from the mean, so we can find the limits like this:

$\mu -3\sigma = 76 -3*2.5 = 68.5$

$\mu +3\sigma = 76 +3*2.5 = 83.5$

So then we expect the 99.7% of the finishing times would be between 68.5 s and 83.5 s for the 400 meters race

Final answer:

The middle 99.7% of Tyler's finishing times in the 400 meter race is from 68.5 seconds to 83.5 seconds.

Explanation:

The empirical rule, also known as the 68-95-99.7 rule, states that for data that follows a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

To determine the interval of times that represents the middle 99.7% of Tyler's finishing times, we need to find the range of values that is three standard deviations above and below the mean.

Using the given mean of 76 seconds and standard deviation of 2.5 seconds, we can calculate the interval of times as follows:

Lower Limit: 76 - (3 * 2.5) = 76 - 7.5 = 68.5 seconds

Upper Limit: 76 + (3 * 2.5) = 76 + 7.5 = 83.5 seconds

Therefore, the interval of times that represents the middle 99.7% of Tyler's finishing times is from 68.5 seconds to 83.5 seconds.

Learn more about Empirical rule here:

brainly.com/question/35669892

#SPJ3

Which choice is equivalent to the expression below?2√2 + √18 + √8

A.7√2
B.8√2
C.6√2
D.4√2

Answers

$2\sqrt2+√(18)+\sqrt8=2\sqrt2+√(9\cdot2)+√(4\cdot2)\n\n=2\sqrt2+\sqrt9\cdot\sqrt2+\sqrt4\cdot\sqrt2=2\sqrt2+3\sqrt2+2\sqrt2=7\sqrt2\n\nAnswer:A.\ 7\sqrt2$

$√(18) = √(3*3*2) = 3√(2) \n √(8) = √(2*2*2) =2 √(2) \n 2 √(2) + 3 √(2) + 2√(2) = 7 √(2)$

The function f(x) = 2 • 5x can be used to represent the curve through the points (1, 10), (2, 50), and (3, 250). What is the multiplicative rate of change of the function?

Answers

The MRC (multiplicative rate of change) can be solved using this formula:
MRC = f(x2)/f(x1) / (x2 - x1)
If we use the coordinates (1,10) and (2,50),
MRC = 50/10 / (2-1) = 5

If we use the coordinates (2,50 and (3,250)
MRC = 250/50 / (3-2) = 5

The MRC will be the same since the function is an exponential function.

The multiplicative rate of change of the function f(x) = 2 * 5^x is 5