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Ivahew [28]
3 years ago
6

For students who first enrolled in two year public institutions in a recent​ semester, the proportion who earned a​ bachelor's d

egree within six years was 0.395. The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate. ​(a) Determine the null and alternative hypotheses.
Mathematics
1 answer:
kondaur [170]3 years ago
6 0

Answer:

Null hypothesis =  H_0:p=0.395

Alternate hypothesis =H_a:p>0.395

Step-by-step explanation:

Given : In a recent​ semester, the proportion who earned a​ bachelor's degree within six years was 0.395.

The president of a certain college believes that the proportion of students who enroll in her institution have a higher completion rate.

To Find : Determine the null and alternative hypotheses.

Solution:

In a recent​ semester, the proportion who earned a​ bachelor's degree within six years was<u> 0.395. </u>

Claim : the proportion of students who enroll in her institution <u>have a higher completion rate.</u>

So,null hypothesis =  H_0:p=0.395

Alternate hypothesis =H_a:p>0.395

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F(x)=−10x2−x and g(x)=−2x2−x, find (f−g)(x) and (f−g)(−2)
blondinia [14]

Answer:

(f - g)(x) = -8x²

(f - g)(2) = -32

General Formulas and Concepts:

<u>Algebra I</u>

  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = -10x² - x

g(x0 = -2x² - x

(f - g)(x) is f(x) - g(x)

(f - g)(2) is f(2) - g(2)

<u>Step 2: Find (f - g)(x)</u>

  1. Substitute:                    (f - g)(x) = -10x² - x - (-2x² - x)
  2. Distribute -1:                 (f - g)(x) = -10x² - x + 2x² + x
  3. Combine like terms:    (f - g)(x) = -8x²

<u>Step 3: Evaluate</u>

  1. Substitute:                    (f - g)(2) = -8(-2)²
  2. Evaluate:                       (f - g)(2) = -8(4)
  3. Multiply:                        (f - g)(2) = -32

And we have our answers!

7 0
3 years ago
Can someone please help me figure out how to solve for x?​
Anna007 [38]

Answer:

x=30

Step-by-step explanation:

Both triangles in this figure are similar. Therefore, we can set up the following proportion:

\frac{21}{x}=\frac{14}{20}.

Cross-multiply to solve:

14x=21\cdot 20,\\x=\frac{21\cdot20}{14},\\x=\fbox{$30$}.

8 0
3 years ago
A student said that since -9 is less than 4, then |-9| is less than |4|. Is the student correct? Explain why or why not.
IRISSAK [1]
No, that is not true. The absolute value is the distance a number is from zero. The distance of -9 to 0 is 9. 9 is not less than 4.
4 0
3 years ago
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A regular hexagon has sides of 2 feet. What is the area of the hexagon?
il63 [147K]

Trigonometry would help with this question.

The area of a regular hexagon is ((3√3)s^2)/2 where s is the side.

Plugging in 2 gives us 6√3 or 10.39 feet.

5 0
3 years ago
Read 2 more answers
HELP HELP ASAP THANKS
mylen [45]

Answer:

Step-by-step explanation:

the range is written as (min y value, max y value)

the domain is written as (min x value, max x value)

question 6

the min y value on the picture is -3, while the arrows point upward, so the max is infinity, so the domain is [-3,∞), with a bracket on -3 because -3 is included

[-3,∞)

question 7

the min x value is the leftmost point, which is at x = -3, while the max is the rightmost point at x = 3, and both are included in the domain so there should be brackets on both

[-3,3]

question 8

the arrow on the left points to the left and up infinitely, so the min is -∞, the arrow on the right points to the right and up infinitely, so the max x value is ∞

(-∞,∞)

question 9

the min value is the bottommost point at y = -2, and the arrow points upward infinitely so the max y value is ∞

[-2,∞)

question 10

the arrow on the left points to the left infinitely so the min x value is -∞, the arrow on the right points to the right infinitely so the max x value is ∞

(-∞,∞)

8 0
3 years ago
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