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3 years ago

The multiplicative inverse of (-4)⁻² is (4)⁻². True False

Mathematics

1 answer:

timofeeve [1]3 years ago

3 0

Answer: false

Step-by-step explanation:

The exponents would have to have a different sign from each other (positive or negative), not the integer.

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Which of the following is the graph of the quadratic function y= x2 - 4x + 4

olganol [36]

Answer:

graph c

Step-by-step explanation:

it is the longest one

7 0

3 years ago

An apple juice producer buys all his apples from a conglomerate of apple growers in one northwestern state. The amount of juice

Ne4ueva [31]

The probability that randomly selected apple will contain more than $2.50 \text{ }\text{ounce}$ juice is $\fbox{0.0475}$ .

Further explanation:

Given:

The mean $\mu$ of apple juice is $2.50 \text{ }\text{ounce}$ .

The standard deviation $\sigma$ of apple juice is $0.15 \text{ }\text{ounce}$ .

Calculation:

The random variable $\bar{X}$ follow Normal distribution with parameter mean and variance.

Normal distribution is symmetric and it bell shaped curve.

$\bar{X} \sim \text{Normal}(\mu,\sigma^{2} )$

Variance is square of standard deviation.

Variance = $\sigma^{2}$

Variance = $0.15^{2}$

Variance = $0.0225$

$\bar{X}\sim \text{Normal}(\mu,\sigma^{2} )$

Substitute $2.25$ for $\mu$ and $0.0225$ for $\sigma^{2}$

$\bar{X}\sim\text {Normal}(2.25,0.0225)$

The probability that randomly selected apple will contain more than $2.50$ can be calculated by applying the central Limit Theorem as,

$\text{Probability}=P(\bar{X}>2.50)}\\\text{Probability}=P\left(\dfrac{{\bar{X}-\mu}}{\sigma}>\dfrac{{2.50-2.25}}{0.15}\right)\\\text{Probability}=P\left(Z}>\dfrac{{0.25}}{0.15}\right)\\ \text{Probability}=P\left(Z}>\dfrac{{5}}{3}\right)\\\text{Probability}=P(Z}>1.67})$

The Normal distribution is symmetric.

Therefore, the probability of greater than $1.67$ is equal to the probability of less than $1.67$ .

$P(Z>1.67})=1-P(Z1.67})=1-0.9525\\P(Z>1.67})=0.0475$

Hence, the probability that randomly selected apple will contain more than $2.50 \text{ }\text{ounce}$ juice is $\fbox{0.0475}$ .

Learn More:

1. Learn more about Unit conversion brainly.com/question/4837736

2. Learn more about Range of a function brainly.com/question/1435353

3. Learn more about Graph representation brainly.com/question/2491745

Answer Details:

Grade: College Statistics

Subject: Mathematics

Chapter: Probability and Statistics

Keywords:

Probability, Statistics, Apple juice, Normal distribution, Normal approximation, Central Limit Theorem, Z-table, Mean, Standard deviation, Symmetric, Variance, Conglomerate of Apple, Northwestern.

3 0

2 years ago

Which expressions are equivalent to the given expression?

Serhud [2]

Answer: 1/ x^2y^5 or the third option from the top

Step-by-step explanation:

4 0

2 years ago

The difference of a rational number and an irrational number is _[blank]_ a rational number.

balu736 [363]

Never a rational number

8 0

2 years ago

Read 2 more answers

A chemist is estimating the volume of a solution in a test tube. The actual volume of the solution is

allochka39001 [22]

The absolute error is:
actual - estimate = 33.2 - 35 = -2.8
that in percent can be found using a rule of three, we say that 33.2 is the 100%, and we find the % for 2.8
33.2 ml -------> 100%
2.8 ml -------> x
x =(2.8)(100)/33.2
x = 8.4
then the percent error is 8.4%

4 0

2 years ago