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3 years ago

Solve for n. -4n + 7 = 1 – 2n

Mathematics

1 answer:

Solnce55 [7]3 years ago

3 0

Answer:

n = 3

Step-by-step explanation:

subtract 1 from both sides to get:

-4n + 6 = -2n

then add 4n to both sides to get:

6 = 2n

then divide both sides by 2 to get:

3 = n

You might be interested in

A study is conducted to investigate whether customer satisfaction is greater among computer companies that offer tech support ve

goldenfox [79]

Answer:

E) An observational study using a stratified sample.

Step-by-step explanation:

This study is not an experiment because the customers were not subjected to any treatment but just observation from those selected. Also, the sampling method used was stratified sampling because we see that random samples were selected independently from two unique populations which are population of those that purchased computers and those that offer tech support.

Therefore the correct option is E.

7 0

3 years ago

A conversation store sells 1\3 pound of one brand of tail mix for 1.50 and 1\2 of another brand of trail mix for 2.15. Which bra

Eduardwww [97]

Answer:

Brand one offers a lower price per pound.

Step-by-step explanation:

We have been given that a conversation store sells 1/3 pound of one brand of tail mix for 1.50 and 1/2 of another brand of trail mix for 2.15. We are asked to find the brand which offers lower price per pound.

First of all, we will find price of per pound trail mix for each brand.

Since 1/3 pound of one brand of tail mix costs $1.50, so the cost of one pound trail mix would be 3 times $1.50 that is $3\times \$1.50=\$4.50$ .

Since 1/2 pound of other brand of tail mix costs $2.15, so the cost of one pound trail mix would be 2 times $2.15 that is $2\times \$2.15=\$4.30$ .

Since $4.30 is less than $4.50, therefore, brand one offers a lower price per pound.

6 0

3 years ago

Read 2 more answers

-1/4a- 4 = 4 <br><img src="https://tex.z-dn.net/?f=%20-%20.25a%20-%204%20%3D%204" id="TexFormula1" title=" - .25a - 4 = 4" alt="

Ganezh [65]

-.25a-4=4
Add for on both sides
-.25a=8
Divide by -.25
A=

5 0

3 years ago

It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute

Genrish500 [490]

Answer:

a) 0.0537 = 5.37% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes

b) 0.9871 = 98.71% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes

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 normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, 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.

Mildly obese:

Mean 376 minutes and standard deviation 67 minutes, which means that $\mu = 376, \sigma = 67$

Sample of 6

This means that $n = 6, s = \frac{67}{\sqrt{6}} = 27.35$

Lean

Mean 520 minutes and standard deviation 110 minutes, which means that $\mu = 520, \sigma = 110$

Sample of 6

$n = 6, s = \frac{110}{\sqrt{6}} = 44.91$

A) What is the probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes?

This is 1 subtracted by the pvalue of Z when X = 420, using the mean and standard deviation for mildly obese people. So

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

By the Central Limit Theorem

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

$Z = \frac{420 - 376}{27.35}$

$Z = 1.61$

$Z = 1.61$ has a pvalue of 0.9463

1 - 0.9463 = 0.0537

0.0537 = 5.37% probability that the mean number of minutes of daily activity of the 6 mildly obese people exceeds 420 minutes.

B) What is the probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes?

This is 1 subtracted by the pvalue of Z when X = 420, using the mean and standard deviation for lean people. So

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

$Z = \frac{420 - 520}{44.91}$

$Z = -2.23$

$Z = -2.23$ has a pvalue of 0.0129

1 - 0.0129 = 0.9871

0.9871 = 98.71% probability that the mean number of minutes of daily activity of the 6 lean people exceeds 420 minutes

5 0

3 years ago

Help with this one also

g100num [7]

Answer:

The answer is A "If I dont swim one mile before work, then I will run three miles after work"

Step-by-step explanation:

Since the double negation of any statement is equivalent to the original in classical logic, the inverse of the inverse is logically equivalent to the original conditional . Thus it is permissible to say that and are inverses of each other. Likewise, and are inverses of each other. So the opposite of what they are saying. Like If it rains the grass will get wet. Inverse- If it does not rain the grass will not get wet.

7 0

3 years ago