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Semmy [17]
3 years ago
9

What is Q=R+Rst; solve for s

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
6 0

Step-by-step explanation:

q=r+rst

Rewrite the equation as 

r+rst=q

Subtract r from both sides of the equation.

r st=q−r

Divide each term by rt

(r st )/rt=(q/rt)−(r/rt)

Cancel the common factor.

(

s=(q/rt)−1/t

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The larger of two numbers is 7 less than twice the
Flauer [41]

Answer:

The two numbers are 29 and 18

Step-by-step explanation:

Let x and y be the two numbers

x = 2y-7

x+y = 47

We have two equations and 2 unknowns

Substituting the first equation into the second equation

2y-7+y = 47

Combine like terms

3y -7 = 47

3y-7+7 = 47+7

3y = 54

Divide by 3

3y/3 = 54/3

y = 18

Now find x

x = 2y-7

x = 2*18 -7

x = 36-7

x = 29

The two numbers are 29 and 18

4 0
2 years ago
What is the solution to the system of equations?
Umnica [9.8K]

Answer:

No solution

Step-by-step explanation:

from the second equation x = -8 + 2y

By substituting in the first equation 4(-8 + 2y) -8y = -16

-32 +8y -8y = -16

-32 = -16

the left hand side not equal the write and side

So there is no solution for the system of equations

means the two lines are parallel

6 0
3 years ago
Cylinder A has a radius of 7 inches and a height of 5 inches. Cylinder B has a volume of 490π. What is the percentage change in
olasank [31]

Percentage change is 100% increase.

Step-by-step explanation:

  • Step 1: Find volume of cylinder A using equation, V(A) = πr²h, where r = 7 in and h = 5 in

⇒ V(A) = π × 7 × 7 × 5 = 245π

and V(B) = 490π

  • Step 2: Calculate percentage change from V(A) to V(B)

⇒ % change = [V(B) - V(A)/V(A)] × 100 = (490π - 245π/245π) × 100

                     = 245π/245π × 100 = 100% increase

5 0
2 years ago
Read 2 more answers
Hello,<br> what shape is this?<br> 10 points
Wittaler [7]

Answer:

upside down triangle with parallel lines

Step-by-step explanation:

4 0
3 years ago
Suppose data made available through a health system tracker showed health expenditures were $10,348 per person in the United Sta
nignag [31]

Answer:

a) 30.08% probability the sample mean will be within $100 of the population mean.

b) 0% probability the sample mean will be greater than $12,600

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the Central Limit Theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 10348, \sigma = 2500, n = 100, s = \frac{2500}{\sqrt{100}} = 250

a. What is the probability the sample mean will be within ±$100 of the population mean?

This is the pvalue of Z when X = 100 divided by s subtracted by the pvalue of Z when X = -100 divided by s. So

Z = \frac{100}{250} = 0.4

Z = -\frac{100}{250} = -0.4

Z = 0.4 has a pvalue of 0.6554, Z = -0.4 has a pvalue of 0.3556

0.6554 - 0.3546 = 0.3008

30.08% probability the sample mean will be within $100 of the population mean.

b. What is the probability the sample mean will be greater than $12,600?

This is 1 subtracted by the pvalue of Z when X = 12600. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{12600 - 10348}{250}

Z = 9

Z = 9 has a pvalue of 1.

1 - 1 = 0

0% probability the sample mean will be greater than $12,600

5 0
2 years ago
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