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Katena32 [7]
3 years ago
7

A test of hypothesis is conducted to determine whether annual income and education level are independent. It is determined that

the value of test statistic is 24.32 and the critical value of test statistics is 13.32. What specific conclusion can we draw about annual income and education level
Mathematics
1 answer:
kramer3 years ago
5 0

Answer: We concluded that annual income and education level are not independent.

Step-by-step explanation:

For the given situation, the null and alternate hypothesis can be formulated as:

H_0: annual income and education level are independent.

H_a: annual income and education level are not independent.

Given,  the value of test statistic is 24.32 and the critical value of test statistics is 13.32.

i.e. the test statistic value is greater than the critical value, thus we have enough evidence to reject the null hypothesis.

Therefore, we reject null hypothesis .

So , we concluded that annual income and education level are not independent.

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Step-by-step explanation:

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6 0
3 years ago
What is a descriptive adjective
NemiM [27]

Answer: Option 'b' is correct.

Step-by-step explanation:

Descriptive adjectives are those adjectives that can be defined as the type of person, shape of a person, color of any thing , that is generally to describe a person, place, animal or thing.

So, It is any word that included a noun and an adjective.

For example:

The<u> old </u>man asked the <u>pretty </u>girl for food.

here, old is a descriptive adjective to describe a man.

And pretty is a descriptive adjective to describe a girl.

Hence, Option 'b' is correct.

7 0
3 years ago
Please help will give brainliest
garri49 [273]

Answer:

b = 17

Step-by-step explanation:

For this triangle we have to

a=18.2\\B=62\°\\C=48\°

We want to find the length of b

We know that the sum of the internal angles of a triangle is 180 °

So

A + 62 +48=180\\\\A=180-62-48\\\\A=70\°

Now we use the sine theorem to find the length of b:

\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}

Then:

\frac{sin(A)}{a}=\frac{sin(B)}{b}\\\\b=\frac{sin(B)}{\frac{sin(A)}{a}}\\\\b=a*\frac{sin(B)}{sin(A)}\\\\b=(18.2)\frac{sin(62)}{sin(70)}\\\\b=17

5 0
3 years ago
A radioactive substance has a continuous decay rate of 0.056 per minute. How many grams of a 120 gram sample will remain radioac
sammy [17]

Answer:

The mass of the radioactive sample after 40 minutes is 12.8 g.

Step-by-step explanation:

The mass of the sample can be found by using the exponential decay equation:

N_{t} = N_{0}e^{-\lambda t}

Where:

N(t): is the amount of the sample at time t =?

N₀: is the initial quantity of the sample = 120 g

t = 40 min

λ: is the decay constant =  0.056 min⁻¹

Hence, the mass of the sample after 40 min is:

N_{t} = N_{0}e^{-\lambda t} = 120g*e^{-0.056min^{-1}*40 min} = 12.8 g

     

Therefore, the mass of the radioactive sample after 40 minutes is 12.8 g.

I hope it helps you!

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3 years ago
What is x+9=2(x_1)^2 in the form of ax^2+bx +c=0
Naddik [55]
<span>x + 9 = 2(x - 1)^2
x + 9 = 2(x^2 - 2x + 1)
x + 9 = 2x^2 - 4x + 2
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2x^2 - 5x -7 =0
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