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guajiro [1.7K]
3 years ago
9

What is the range of the absolute value function below?

Mathematics
2 answers:
Rashid [163]3 years ago
6 0

answer: f(x)<4

I really hope that heped

satela [25.4K]3 years ago
5 0

Answer:

D The bottom choice.

Step-by-step explanation:

The range is the y value of (in this case) an absolute value. The maximum value of this is 4. Everything else is less than 4. The answer would be written as

4≥f(x) which is the same thing as D

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7 0
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Read 2 more answers
Health insurance benefits vary by the size of the company. The sample data below show the number of companies providing health i
telo118 [61]

Answer:

Step-by-step explanation:

a. The hypothesis of testing are

Null Hypothesis, H0: The health insurance coverage is independent of the size of the company.

Alternative hypothesis, H1: The health insurance coverage is not independent of the size of the company

The test statistics is calculated as

X² =  <u>∑(Ei - Oi)²</u>  ≅X²(r-1)(c-1)

        i      Ei

where Oi's are the observed values and Ei's are the expected values,

E= <u>row total × column total</u>

            total

The expected values are

        Sizeof the Company  

Health Insurance    Small   Medium Large Total

Yes                             42     63          84           189

No                              8             12          16           36

Total                      50    75                  100           225

Therefore, the test statistics is

X² =∑ (<u>Ei -Oi)² </u>=6.94 ≅  x²₂

      i       Ei

The critical value is found to be 5.99. Since test statistics > critical value, we reject H0 and conclude that the health insurance coverage is not independent of the size of the company.

The associated p-value is 0.031 (<0.05).

b. Percentage of employees lacking health insurance coverage is

Small 14/50 x 100 = 28%

Medium 10/75 x 100 = 13%

Large 12/100 x 100 = 12%

Hence depending on the above percentage, we can support the claim that the employees of small companies are more likely to lack health insurance coverage.

8 0
3 years ago
WILL MARK BRAINIEST!!! Segment AC has two endpoints; (-2,5) and (2,-5). What are the coordinates of point B on segment AC such t
svet-max [94.6K]

Answer:

(\frac{4}{3},-\frac{10}{3})

Step-by-step explanation:

If the extreme ends of a line segment AC are A(x_1,y_1) and C(x_2,y_2).

If a point B(x, y) divides the segment in the ratio of m : n

Then the coordinates of the point B are,

x = \frac{mx_2+nx_1}{m+n}

y = \frac{my_2+ny_1}{m+n}

If the ends of AC are A(-2, 5) and C(2, -5) and a point B divides it in the ratio of m : n = 5 : 1

Therefore, coordinates of this point will be,

x = \frac{5\times (2)+1(-2)}{5+1}

  = \frac{10-2}{5+1}

  = \frac{8}{6}

  = \frac{4}{3}

y = \frac{5\times (-5)+1(5)}{5+1}

  = \frac{-25+5}{6}

  = -\frac{20}{6}

  = -\frac{10}{3}

Therefore, coordinates of the point B are (\frac{4}{3},-\frac{10}{3}).

6 0
3 years ago
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