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2 years ago

What is Y=2x+5 y=3x-1 system by substitution

Mathematics

1 answer:

Bad White [126]2 years ago

3 0

Answer:

x=6 , y=17

Step-by-step explanation

3x-1=2x+5

+1 -2x

x=6

plug in 6 for x to solve y

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suppose X and Y are independent random variables, both with normal distributions. If X has a mean of 45 with a standard deviatio

djyliett [7]

Answer:

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

Step-by-step explanation:

When the distribution is normal, we use 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 question:

$\mu_X = 45, \sigma_X = 4, \mu_Y = 35, \sigma_Y = 3$

What is the probability that a randomly generated value of X is greater than a randomly generated value of Y

This means that the subtraction of X by Y has to be positive.

When we subtract two normal variables, the mean is the subtraction of their means, and the standard deviation is the square root of the sum of their variances. So

$\mu = \mu_X - \mu_Y = 45 - 35 = 0$

$\sigma = \sqrt{\sigma_X^2+\sigma_Y^2} = \sqrt{25} = 5$

We want to find P(X > 0), that is, 1 subtracted by the pvalue of Z when X = 0. So

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

$Z = \frac{0 - 10}{5}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

1 - 0.0228 = 0.9772

0.9772 = 97.72% probability that a randomly generated value of X is greater than a randomly generated value of Y

4 0

3 years ago

Solve the following equation. Then place the correct number in the box provided.

solong [7]

X should be 7 after doing all the calculation.

5 0

3 years ago

I'm struggling fr now, pls can you help me answer these questions using the y= mx+ c method thanks!

Phoenix [80]

Answer:

Examination of the equation shows (graph):

x = 0, y = .5

Then .5 = c gives us the value of c giving

y = m x + .5 is our equation

Using y = 0, x = -1 gives

o = -1 * m + .5

m = .5

y = .5 x + .5 for the final equation

Check:

At x = 5, y = 3

3 = .5 (5) + .5 = 3

4 0

2 years ago

there are 8 uniforms at a fire station. Their total weight is 538 pounds. about how many pounds does each uniform Weigh? would y

earnstyle [38]

If 8= 538 Ib. then take the (538) and divide that by 8. <---- 8 for the 8 uniforms.

Your math should look like this: 538/8= about 67 pounds.

Then do 67*8= 536. (You started at 532 Ib.) this is just 2 pounds off*

So, your answer should be *67* pounds.

*Use paper and a pencil! Sometimes doing mental math can be challenging with a problem like this. So use paper and a pencil, checking your answer wont hurt either!*

8 0

3 years ago

Use the net to determine the total surface area. Please help ASAP

wariber [46]

Answer:

C. S.A. = 340.8 $cm^{2}$

Step-by-step explanation:

Area of rectangles = 6x 12 = 72 $cm^{2}$

all three have the same area - 72 x 3 = 216 $cm^{2}$

Area of triangle = 10.4 x 12 ÷ 2

Since there are 2 trignles - 10.4 x 12 = 124.8 $cm^{2}$

Add all sides up

S.A. = 216 $cm^{2}$ + 124.8 $cm^{2}$

S.A. = 340.8 $cm^{2}$

5 0

3 years ago