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3 years ago

Solve the equation using square roots: 2x^2-17=15

Mathematics

1 answer:

Gwar [14]3 years ago

6 0

Answer:

x = 4 or x = –4

Step-by-step explanation:

2x² – 17 = 15

Add 17 to both sides:

2x² = 32

Divide both sides by 2:

x² = 16

Take the square root:

√x² = √16

Simplify:

x = ±4

Therefore:

x = 4 or x = –4

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What is the solution to the inequality -4 x < 8?

alekssr [168]

Answer:

The solution of the inequality is x < -2.

Step-by-step explanation:

Let's simplify the inequality first.

=> -4x < 8
=> -4x/4 < 8/4
=> -x < 2
=> x < -2

Hence, the solution of the inequality is x < -2.

Hoped this helped.

$BrainiacUser1357$

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2 years ago

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After a 32% discount is applied, you purchase a new phone case for $51.20. What was the price before the sale?

cupoosta [38]

Answer:

$67.70

Step-by-step explanation:

Multiply 51.20 by 0.32 then add that to 51.20

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3 years ago

An electrician charges $40 to come to your house.She also charges $55for each that she works. The electrician charges you total

shusha [124]

Answer:

Step-by-step explanation:

First, write an equation. 55x+40=190.

X represents the hours the electrician works. The 55 represents the $55 that she charges for each hour she works. The +40 for the $40 that was the price just to come to your house. The 190 is the total cost. Now, solve that equation.

55x+40=190

55x=150

x=2.72727272...

So the answer is 2.727 hours. It can be rounded as needed or turned into a decimal, 2 8/11.

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3 years ago

Write 6 1/4% as a decimal.

Zepler [3.9K]

1.) Change the fraction to a decimal. 1÷4=.25%. then add the whole 6. 6+.25=6.25%.2.) now divide by 100. 6.25%×100=.0625. ANSWER: .0625

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3 years ago

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The heights of North American women are normally distributed with a mean of 64 inches and a standard deviation of 2inches.a. Wha

Charra [1.4K]

Answer:

a) $P(X>66)=P(Z>1)=1-P(Z$

b) $P(\bar X >66)=P(Z>2)=1-P(Z$

c) $P(\bar X >66)=P(Z>10)=1-P(Z$

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

2) Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(64,2)$