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marshall27 [118]
3 years ago
5

Jamal uses the steps below to solve the equation 6x – 4 = 8.

Mathematics
1 answer:
ohaa [14]3 years ago
5 0

"if equals are divided by equals, the results are equal." This is a corollary of the distributive property for multiplication.


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When Aria commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 28 minutes and a st
MrRa [10]

Answer:

Her commute would be between 32 and 35 minutes 33 times.

Step-by-step explanation:

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.

In this problem, we have that:

\mu = 28, \sigma = 4.5

Proportion of days in which the commute is between 32 and 35 minutes:

This is the pvalue of Z when X = 35 subtracted by the pvalue of Z when X = 32.

X = 35

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

Z = \frac{35 - 28}{4.5}

Z = 1.555

Z = 1.555 has a pvalue of 0.94.

X = 32

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

Z = \frac{32 - 28}{4.5}

Z = 0.89

Z = 0.89 has a pvalue of 0.8133.

0.94 - 0.8133 = 0.1267

Out of 262 days:

Each day, 0.1267 probability

0.1267*262 = 33

Her commute would be between 32 and 35 minutes 33 times.

6 0
3 years ago
For a bivariate random variable (x, y ), if the covariance is 1225, the variance of x is 1600, and the variance of y is 2500. Fi
prisoha [69]

If the covariance is 1225, variance of x is 1600,variance of y is 2500 then the correlation coefficient between x and y is 0.6125.

Given the covariance is 1225, variance of x is 1600,variance of y is 2500.

We have to find the correlation coefficient between x and y.

Covariance is basically a measure of the joint variability of two random variables.

Variance is a basically a measure of dispersion, meaning it is a measure of how far a set of numbers is spread out from their average value.

The correlation coefficient is basically the specific measure that quantifies the strength of the linear relationship between two variables in a correlation analysis.

We know that the formula of correlation coefficient is as under:

r=covariance (x,y)/\sqrt{variance(x)}*\sqrt{variance (y)}

r=1225/\sqrt{1600}*\sqrt{2500}

r=1225/(40*50)

r=1225/2000

r=0.6125

Hence if the covariance is 1225, variance of x is 1600,variance of y is 2500 then the correlation coefficient between x and y is 0.6125.

Learn more about correlation coefficient at brainly.com/question/4219149

#SPJ4

4 0
2 years ago
Helppp hurryyyyy................-6 > x - 22
ahrayia [7]
OK........

X < 16

H0P3 It H3LPS :)
5 0
3 years ago
Jane corporation produces model toy cars each sells for $29 99 sense its variable cost per unit is $14 25 sense what is the brea
n200080 [17]

Answer:

Break-even point in units= 20,000

Step-by-step explanation:

Giving the following information:

Selling price per unit= $29.99

Unitary variable cost= $14.25

Fixed costs= $314,800

<u>To calculate the break-even point in units, we need to use the following formula:</u>

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 314,800 / (29.99 - 14.25)

Break-even point in units= 20,000

5 0
3 years ago
Written as a simplified polynomial in standard form, what is the result when
kompoz [17]

2x-8 - (2x+7)^2\\\\=2x-8 -(4x^2 + 2\cdot 2x \cdot 7 + 7^2)\\\\=2x-8-(4x^2 + 28x +49)\\\\=2x - 8 -4x^2-28x -49\\\\=-4x^2 -26x -57\\\\

8 0
2 years ago
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