The slope of the line whose equation is 5 x - 3 y = 4 is
5/3
4/5
-3/5

Answers

Answer 1

Answer:

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have:

$5x-3y=4\qquad|\text{subtract 5x from both sides}\n\n-3y=-5x+4\qquad|\text{divide both sides by (-3)}\n\ny=(5)/(3)x-(4)/(3)$

Answer: 5/3

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A population has a mean of 300 and a standard deviation of 70. Suppose a sample of size 125 is selected and is used to estimate . Use z-table. What is the probability that the sample mean will be within +/- 8 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.) What is the probability that the sample mean will be within +/- 17 of the population mean (to 4 decimals)? (Round z value in intermediate calculations to 2 decimal places.)

Answers

Following are the calculation to the given points:

Using central limit theorem:

$\to \mu_{\bar{x}}= \mu = 300\n\n\to \sigma_{\bar{x}}=(\sigma)/(√(n))=(70)/(√(125))= 6.261\n\n$

For point a)

Within $\pm 8$ population mean: $\to P(\mu-8<\bar{x}<\mu+8)=P\left ( (\mu-8-\mu)/(6.261)Within [tex]\pm 17$

For point b)

Within $\pm 17$ population mean:

[tex]\to P(\mu-17<\bar{x}<\mu+17)=P\left ( \frac{\mu-17-\mu}{6.261}

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Final answer:

To find the probability that the sample mean will be within a certain range, we need to calculate the z-scores and look them up in the z-table.

Explanation:

To find the probability that the sample mean will be within +/- 8 of the population mean, we need to convert this range to z-scores. The z-score formula is calculated by subtracting the population mean from the sample mean and dividing by the standard deviation divided by the square root of the sample size.

For +/- 8, the z-score will be (8 - 0) / (70 / sqrt(125)) = 2.09.

Using the z-table, we can find the probability associated with a z-score of 2.09, which is approximately 0.9828. Therefore, the probability that the sample mean will be within +/- 8 of the population mean is 0.9828.

Similarly, for +/- 17, the z-score will be (17 - 0) / (70 / sqrt(125)) = 4.18. Using the z-table, the probability associated with a z-score of 4.18 is nearly 1.0000. Hence, the probability that the sample mean will be within +/- 17 of the population mean is 1.0000.

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Identify whether root 75 is rational number and irrational numberâ€‹

Answers

Answer:rational

Step-by-step explanation:

its a whole number

How would I get the exact value of Tan157.5 using the half angle formula?

Answers

$\tan(157.5)=\tan(315/2)=(\sin(315))/(1+\cos(315))=(-√(2)/2)/(1+√(2)/2)=(-1)/(1+√(2))$

Solve: 493x = 3432x + 1. a. x = –3 b. x = 1 c. x = 3 d. no solution

Answers

On solving the mentioned equation, the correct answer for value of x will be d. no solution.

We will begin with converting the base to same numbers. As per the fact, 49 is the square of 7 and 323 is the cube of 7. So, the equation will be -

${7²}^(3x) = {7³}^((2x + 1))$

Now, performing the multiplication of both exponents on both sides of the equation

${7}^(6x) = {7}^((6x + 3))$

As the bases are equal, hence will be the exponents.

6x = 6x + 3

6x is common on both sides and hence x will not exist. Thus, no solution is possible.

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The correct question is -

Solve: ${49}^(3x) = {343}^((2x + 1))$ . a. x = –3 b. x = 1 c. x = 3 d. no solution

Answer:

It's D, No solution.

Step-by-step explanation:

I did the assignment.

Which function is NOT linear? ☆y=x²+2 ☆y=3x ☆ y = 3x/4 ☆ x - y = 1

Answers

Answer:

y = x^2 +2

Step-by-step explanation:

x^2 is parabolic not linear

This is hard can I get help

Answers

Same as the last one you asked.

AB + BC = AC. Just think of it like Part + Part = Whole Thing

(2x + 6) + (6x + 5) = 51

Combine like terms:
8x + 11 = 51

Subtract 11 from both sides to get the variable and its coefficient on its own:
8x = 51 - 11
8x = 40

Divide both sides by 8 to isolate the variable:
x = 5

It's asking for us to find BC so now we plug in x = 5 to the equation it gave for BC.

6x + 5
6(5) + 5
30 + 5
35

BC is 35 units long.

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