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3 years ago

Paul needs to find 310% of 72. Which expression should he use?

Mathematics

2 answers:

hichkok12 [17]3 years ago

7 0

Answer:

Step-by-step explanation:

To find a certain percentage of a number, we need to get the decimal equivalent of the percentage and then multiply this with the number.

For our problem given, we need to multiply 72 with the decimal equivalent of 310%.

How do we convert percentage to decimal?

We divide by 100. So we have:

310% = 310/100 = 3.1

Now, we multiply:

3.1 * 72

dedylja [7]3 years ago

5 0

Answer:

He should use (310) (72)

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One must travel 16 miles before rate B becomes the cheapest rate.

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3 years ago

Consider the equations 15x + 9y = 45 and 9x + 8y = 12. Solve the system of equations using elimination. Give your solution to th

True [87]

Answer:

(-5.77, 6.46)

Step-by-step explanation:

15x + 9y = 45 ----------- i

9x + 8y = 12----------------ii

Multiply equation i by 9 the coefficient of x in equ ii

And equation ii by 15 the coefficient of x in equ I

9 x 15x + 9y = 45 ----------- i

15 x 9x + 8y = 12----------------ii

135x+81y = 405

135x+120y= 180

Subtract equation ii from I

135x-135x+81y-(+120y)= 405-180

-39y=225

y = 225/-39 = -5.77

Insert the value of y in equ i

15x + 9y = 45

15x+9(-5.77) = 45

15x-51.92=45

15x = 45+51.92

15x= 96.92

x = 96.92/15= 6.46

(x,y) = (-5.77, 6.46)

x = 6.92/15

5 0

3 years ago

What is the average rate of change of f over the interval [-1, 4] Give an exact number.

Sonbull [250]

Answer:

1.4

Step-by-step explanation:

The average rate of change is the "rise" divided by the "run".

rise/run = (f(4) -f(-1))/(4 -(-1)) = (0 -(-7))/(4+1)

rise/run = 7/5 = 1.4

The average rate of change on the interval [-1. 4] is 1.4.

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2 years ago

A production process is checked periodically by a quality control inspector. the inspector selects simple random samples of 30 f

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Answer:

Population Mean = 2.0

Population Standard deviation = 0.03

Step-by-step explanation:

We are given that the inspector selects simple random samples of 30 finished products and computes the sample mean product weight.

Also, test results over a long period of time show that 5% of the values are over 2.1 pounds and 5% are under 1.9 pounds.

Now, mean of the population is given the average of two extreme boundaries because mean lies exactly in the middle of the distribution.

So, Mean, $\mu$ = $\frac{1.9+2.1}{2}$ = 2.0

Therefore, mean for the population of products produced with this process is 2.

Since, we are given that 5% of the values are under 1.9 pounds so we will calculate the z score value corresponding to a probability of 5% i.e.

z = -1.6449 {from z % table}

We know that z formula is given by ;

$Z = \frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

-1.6449 = $\frac{1.9 - 2.0}{\frac{\sigma}{\sqrt{n} } }$ ⇒ $\frac{\sigma}{\sqrt{n} } = \frac{-0.1}{-1.6449}$

⇒ $\sigma =$ 0.0608 * $\sqrt{30}$ {as sample size is given 30}

⇒ $\sigma$ = 0.03 .

Therefore, Standard deviation for the population of products produced with this process is 0.0333.

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3 years ago

I'm about to give 100 pts who wants em?

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Answer:

me lollll

Step-by-step explanation:

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