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Veronika [31]
3 years ago
9

What is the value of r in the equation? Negative 1.5 (4 minus r) = negative 12

Mathematics
2 answers:
Amanda [17]3 years ago
8 0
-1.5(4-r)=-12
-6+1.5r=-12
1.5r = -6
R = -4
trapecia [35]3 years ago
7 0

Answer: -4

Step-by-step explanation:

-1.5(4-r)=-12

Divide both sides by -1.5

4-r=8

-r=4

r=-4

Therefore, the value of r is -4

You might be interested in
Item 2 An account earns simple interest. $1500 at 4% for 5 years a. Find the interest earned. b. Find the balance of the account
Verdich [7]
The account is starting off with 1500, so that will be the start value. Since it is simple interest, it will always be gaining 4 percent of 1500. Let's find 4 percent of 1500.
1500×.04= 60
The account will be growing by $60 every year.
1500+60x=y
X is the number of years. We can find the interest earned by multiplying 5, since that is the number of years we are trying to find, and 60, since that is the interest.
60×5= 300
The interest earned is $300 over 5 years.
Now let's find the balance of the account after 5 years.
1500+ 60(5)=y
1500+300=y
1800=y
The balance of the account will be $1,800 after 5 years.
7 0
3 years ago
Data from the Centers for Disease Control and Prevention indicate that weights of American adults in 2005 had a mean of 167 poun
sesenic [268]

Answer:

92.65% probability that the total weight in a random sample of 47 American adults exceeds 7500 pounds in 2005.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using 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.

For sums the theorem can also be used, with mean n*\mu and standard deviation s = \sqrt{n}*\sigma

In this problem, we have that:

n = 47, \mu = 47*167 = 7849, s = \sqrt{47}*35 = 240

Use this information to estimate the probability that the total weight in a random sample of 47 American adults exceeds 7500 pounds in 2005.

This is 1 subtracted by the pvalue of Z when X = 7500. So

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

By the Central Limit Theorem

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

Z = \frac{7500 - 7849}{240}

Z = -1.45

Z = -1.45 has a pvalue of 0.0735

1 - 0.0735 = 0.9265

92.65% probability that the total weight in a random sample of 47 American adults exceeds 7500 pounds in 2005.

5 0
3 years ago
The product of the polynomials (3x + 2) and (-x-3) is?
pychu [463]

Answer:

3x²-11x-6

Step-by-step explanation:

(3x+2)(-x-3)

Then you Foil, AKA multiply the First Outside Inside and Last and then add them together

3x²-9x-2x-6

3 0
3 years ago
If 2 and 4 are the factors of a number than is 8 always a factor? true or false
kotegsom [21]

Answer:

hmmm I think it's true, if it's not my bad.

4 0
3 years ago
HELPP!! I report wrong answers!!
Zarrin [17]
A : 12+1.5x=26 :))))
7 0
3 years ago
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