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user100 [1]
2 years ago
12

You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether t

hey are wearing masks in public or not and whether they are under 20 years old, between 20 and 39, between 40 and 59, or 60 or above. Using your data, you calculate a test statistic of 16.5. Using a critical value of 7.82, what is your statistical conclusion
Mathematics
1 answer:
Sladkaya [172]2 years ago
7 0

Answer:

One's age is not independent of one's willingness to wear masks in public.

Step-by-step explanation:

The hypothesis for the study can be defined as follows:

<em>H</em>₀: One's age is independent of one's willingness to wear masks in public.

<em>Hₐ</em>: One's age is not independent of one's willingness to wear masks in public.

It is provided that the test statistic value is, <em>t</em> = 16.5.

And the critical value of the test is, <em>c</em> = 7.82.

t = 16.5 > c = 7.82

Since the  test statistic value is more than the critical value, the null hypothesis will be rejected.

Thus, concluding that one's age is not independent of one's willingness to wear masks in public.

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Solve If QR = 6x + 1, PR = 14x - 13, and PQ = 5x - 2, find PR
solong [7]

Answer:

P____Q____R

PR= PQ+ QR

(14x-13) = (5x-2)+(6x+1)

14x-13= 11x – 1

14x – 11x = 13–1

3x = 12

x= 12/ 3

x= 4

PR= 14x – 13 = 14 (4) – 13 = 18 – 13= 5

If you want (PQ , QR ) this is the solution

PQ =5x-2=5(4)-2=20-2=18

QR =6x+1=6(4)+1=24+1=25

I hope I helped you^_^

7 0
3 years ago
The expression 2( 21x + 75 ) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children
ss7ja [257]

Answer:  x represents the number of months, 150 represents one-time materials fee,  2( 21x + 75 ) represents total fees in x months and 42 represents rate of change.

Step-by-step explanation:

Since, Here the expression 2( 21x + 75 ) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children to join a science club.

Let, f(x) represents the monthly tuition fee

Therefore, f(x)= 2( 21x + 75 )

⇒f(x)= 42 x +150

Again according to the question, there is a one-time materials fee which must be free from the variable.

Therefore In f(x) , 150 must represent one time material fees.

And, x is variable, and here number of months is a variable.

Thus, x must be denote the number of months.

And, 42 must be denote the fees for 1 month.



8 0
3 years ago
I need some help please
ExtremeBDS [4]
Using the law of cosins

sin(angle) = Opposite Leg / Hypotenuse

The angle is given as 35 degree and the hypotenuse is given as 30 feet.

Sin(35) = X ( opposite leg) / 30

X = 30 * sin(35)

x = 17.2 feet.

Total height = 17.2 + 6.5 = 23.7, round to 24 feet.

The answer is 24 feet.
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Answer:

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Step-by-step explanation:

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Divide.
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