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uranmaximum [27]
2 years ago
5

What is the area of the polygon given below

Mathematics
1 answer:
Nataliya [291]2 years ago
5 0
I think the answer is D
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Which statement is true about the result of a rigid transformation?
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I'd say C...
 I did the same thing today.
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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
At science camp, the kitchen served half of their blueberries with breakfast. After dinner, they put the remaining 5{,}270 \text
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Answer:

10.54 kg

Step-by-step explanation:

Given that :

Half of blueberries is served with breakfast

The remaining 5270g is served with dinner

How many kilograms of blueberries did the science camp start with :

Total grams of blue berries :

(Grams served at breakfast + grams served at dinner)

Let total blueberries = x

x/2 + 5270 = x

(x + 10540) /2 = x

x + 10540 = 2x

10540 = 2x - x

x = 10540 grams

Amount of kilograms science camp started with = (10540) / 1000 = 10.54 kg

7 0
3 years ago
Given the exponential growth equation y = 50(1.6)^x what is the initial value?
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Answer:

50 is the initial value

Step-by-step explanation:

The equation is of the form

y = ab^x  where a is the initial value and b is the growth/decay value

 b>1 is growth and b<1 means decay

   y = 50(1.6)^x  

50 is the initial value and 1.6 means growth since it is greater than 1

1.6 -1 = .6 so it has a 60% growth rate        

8 0
3 years ago
Anusha brings a $20 bill to the store. She purchases 4 pairs of socks for $2.25 each and a new belt for $7.50. How much change w
gulaghasi [49]
She will receive $18.50.
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