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4 years ago

Describe the y-intercept and end behavior of the following graph

Mathematics

1 answer:

lara [203]4 years ago

4 0

Answer:

Step-by-step explanation:

y intercept is -8 and it appears as though it is approaching y= -9 to the left.

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The College Student Journal (December 1992) investigated differences in traditional and nontraditional students, where nontradit

shutvik [7]

Answer:

There is a 0.13% probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65.

Step-by-step explanation:

Problems of normally distributed samples can be 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

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

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. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

For this problem, we have that:

Based on the study results, we can assume the population mean and standard deviation for the GPA of nontraditional students is $\mu = 3.5$ and $\sigma = 0.5$ .

We have a sample of 100 students, so we need to find the standard deviation of the sample, to use in the place of $\sigma$ in the z score formula.

$s = \frac{\sigma}{\sqrt{100}} = \frac{0.5}{10} = 0.05$ .

What is the probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65?

This is 1 subtracted by the pvalue of Z when $X = 3.65$ . So

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

$Z = \frac{3.65 - 3.50}{0.05}$

$Z = 3$

A zscore of 3 has a pvalue of 0.9987.

So, there is a 1-0.9987 = 0.0013 = 0.13% probability that the random sample of 100 nontraditional students have a mean GPA greater than 3.65.

4 0

4 years ago

40 POINTS + BRAINLIEST!

kotegsom [21]

Asnwer:
15 Units
Hope this helps! :)

4 0

3 years ago

Read 2 more answers

When will corona end?

padilas [110]

Answer:We don’t know for sure but soon

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

If the sum of its number is 80 rhen find their mean

insens350 [35]

Answer: First number = 50, Second number = 30

Solution:

Assuming that the numbers are integers, let p denote the first number and q the second number.

Given, sum of the two numbers is 80.

∴ p+q = 80………………………………………………………………………………………………(1)

⇒ q = 80 - p ………………………………………………………….………………………………..(2)

Also given, 3 times the first number (p) is same as 5 times the second number (q).

∴ 3p = 5q ………………………………………………………………………………………………..(3)

Simultaneous solution of equations (1) and (3) in the two variables p and q will furnish the answer.

Method 1: Substitution Method

Substituting for q from (2) in (3),

3p = 5(80-p)

Or, 3p = 5x80 - 5p = 400 - 5p

Or, 8p = 400 (Transposing -5p from right to left and simplifying)

Or, 8p/8 = 400/8 (Dividing both sides by 8)

Or, 1.p = 50x8/8 (Factoring 400)

⇒ p = 50

Substituting for p = 50 in (2),

q = 80 - 50

⇒ q = 30

Method 2: Elimination Method

Rewriting, (2)→

3p - 5q = 0 ……………………………………………………………………………………………..…(4)

Now 3 x equation(1) - equation(4) →

3p + 3q -3p + 5q = 3x80 - 0

Or, 8q = 240

Dividing both sides by 8 and simplifying give

q = 30

Substituting for q=30 in (1),

p+30 = 80

Subtracting 30 from both sides,

p+30–30 = 80–30

Or, p+0 = 50

⇒p = 50

These values are in agreement with those obtained by method 1.

Hence, the first number = 50 and second number = 30 (Answer)

Result Verification:

p = 50, q= 30

∴ p+q = 50+30 = 80 in agreement with equation (1)

3p = 3x50 = 150

5q = 5x30 = 150

Step-by-step explanation:

7 0

3 years ago

-6x^2+96 factor completely

sleet_krkn [62]

Answer:

-6x^98

Step-by-step explanation:

-6x^2+96

add the numbers: 2+96=98

= -6x^98

7 0

3 years ago