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Alja [10]
2 years ago
6

The choir sells tickets to its performances for an assortment of prices and gives some tickets away. The choir

Mathematics
1 answer:
galina1969 [7]2 years ago
3 0

The least square regression equation for the information provided is y = 9.72x - 40.776

<u>The general equation of a regression model can be expressed thus</u>:

  • y = bx + c

  • Slope, b = r(Sy/Sx)

Calculating slope, b :

  • b = 0.81(177.6 / 14.8) = 9.72

<u>Plugging the values of b, y and x into the equation in other to calculate c</u> :

696 = 9.72(75.8) + c

696 = 736.776 + c

c = 696 - 736.776

c = - 40.776

Therefore, the linear regression model can be expressed as : y = 9.72x - 40.776

Learn more :brainly.com/question/18405415

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frankie earned $43,720 last year. if social security tax is $6.20 tax per $100 earned, then how much social security did they pa
AnnZ [28]

Answer:

$2,710.64

Step-by-step explanation:

Divide 43,720 by 100 so you know how many groups of 200s you have. Because it's 6.20 for each 100.

437.2

Do 6.20 times 437.2 to get your answer.

$2,710.64

5 0
2 years ago
80% of what number is 15?
Kazeer [188]
15 = 80% * x

15 = 80/100 * x

15 = 8/10 * x

x = 15 * 10/8

x = 150/8

x = 18.75


<span>80% of 18.75 is </span>15<span>.</span>
3 0
3 years ago
What is the rate of change of function g?
Natasha2012 [34]

Answer:

The rate of change of function g is: 3/2

Step-by-step explanation:

Given the table of function g

x               y

2              4

4              7

6             10

8             13

We know that rate of change is also termed as the slope of the function.

Thus,

let us take any two points, let say

(2, 4) and (4, 7)

Determining the slope between (2, 4) and (4, 7)

(x₁, y₁) = (2, 4)

(x₂, y₂) = (4, 7)

Using the formula

Rate of change or Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [7 - 4] / [4 - 2]

               = 3 / 2

Thus, the rate of change of function g is: 3/2

5 0
2 years ago
Identify the slope and y-intercept of the graph of the equation.
Aleksandr [31]

Answer:

4

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A coin is thrown independently 10 times to test the hypothesis that the probability of heads is 0.5 versus the alternative that
mafiozo [28]

Answer:

(a) The significance level of the test is 0.002.

(b) The power of the test is 0.3487.

Step-by-step explanation:

We are given that a coin is thrown independently 10 times to test the hypothesis that the probability of heads is 0.5 versus the alternative that the probability is not 0.5.

The test rejects the null hypothesis if either 0 or 10 heads are observed.

Let p = <u><em>probability of obtaining head.</em></u>

So, Null Hypothesis, H_0 : p = 0.5

Alternate Hypothesis, H_A : p \neq 0.5

(a) The significance level of the test which is represented by \alpha is the probability of Type I error.

Type I error states the probability of rejecting the null hypothesis given the fact that the null hypothesis is true.

Here, the probability of rejecting the null hypothesis means we obtain the probability of observing either 0 or 10 heads, that is;

            P(Type I error) = \alpha

         P(X = 0/H_0 is true) + P(X = 10/H_0 is true) = \alpha

Also, the event of obtaining heads when a coin is thrown 10 times can be considered as a binomial experiment.

So, X ~ Binom(n = 10, p = 0.5)

P(X = 0/H_0 is true) + P(X = 10/H_0 is true) = \alpha

\binom{10}{0}\times 0.5^{0} \times (1-0.5)^{10-0}  +\binom{10}{10}\times 0.5^{10} \times (1-0.5)^{10-10}  = \alpha

(1\times 1\times 0.5^{10})  +(1 \times 0.5^{10} \times 0.5^{0}) = \alpha

\alpha = 0.0019

So, the significance level of the test is 0.002.

(b) It is stated that the probability of heads is 0.1, and we have to find the power of the test.

Here the Type II error is used which states the probability of accepting the null hypothesis given the fact that the null hypothesis is false.

Also, the power of the test is represented by (1 - \beta).

So, here, X ~ Binom(n = 10, p = 0.1)

1-\beta = P(X = 0/H_0 is true) + P(X = 10/H_0 is true)

1-\beta = \binom{10}{0}\times 0.1^{0} \times (1-0.1)^{10-0}  +\binom{10}{10}\times 0.1^{10} \times (1-0.1)^{10-10}  

1-\beta = (1\times 1\times 0.9^{10})  +(1 \times 0.1^{10} \times 0.9^{0})

1-\beta = 0.3487

Hence, the power of the test is 0.3487.

3 0
3 years ago
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