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ale4655 [162]
2 years ago
5

What is the independent variable in the equation y = -3x + 7?

Mathematics
2 answers:
Keith_Richards [23]2 years ago
8 0
7 is the independent variable in this equation because it is a constant, it does not change in any case.
mamaluj [8]2 years ago
4 0

Answer:

Step-by-step explanation:

it is x

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Construct a​ 99% confidence interval for the population​ mean, mu. Assume the population has a normal distribution. A group of 1
Zarrin [17]

Answer:

99% confidence interval for the population​ mean is [19.891 , 24.909].

Step-by-step explanation:

We are given that a group of 19 randomly selected students has a mean age of 22.4 years with a standard deviation of 3.8 years.

Assuming the population has a normal distribution.

Firstly, the pivotal quantity for 99% confidence interval for the population​ mean is given by;

         P.Q. = \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } ~ t_n_-_1

where, \bar X = sample mean age of selected students = 22.4 years

             s = sample standard deviation = 3.8 years

             n = sample of students = 19

             \mu = population mean

<em>Here for constructing 99% confidence interval we have used t statistics because we don't know about population standard deviation.</em>

So, 99% confidence interval for the population​ mean, \mu is ;

P(-2.878 < t_1_8 < 2.878) = 0.99  {As the critical value of t at 18 degree of

                                                freedom are -2.878 & 2.878 with P = 0.5%}

P(-2.878 < \frac{\bar X - \mu}{\frac{s}{\sqrt{n} } } < 2.878) = 0.99

P( -2.878 \times {\frac{s}{\sqrt{n} } } < {\bar X - \mu} < 2.878 \times {\frac{s}{\sqrt{n} } } ) = 0.99

P( \bar X -2.878 \times {\frac{s}{\sqrt{n} } < \mu < \bar X +2.878 \times {\frac{s}{\sqrt{n} } ) = 0.99

<u>99% confidence interval for</u> \mu = [ \bar X -2.878 \times {\frac{s}{\sqrt{n} } , \bar X +2.878 \times {\frac{s}{\sqrt{n} } ]

                                                 = [ 22.4 -2.878 \times {\frac{3.8}{\sqrt{19} } , 22.4 +2.878 \times {\frac{3.8}{\sqrt{19} } ]

                                                 = [19.891 , 24.909]

Therefore, 99% confidence interval for the population​ mean is [19.891 , 24.909].

6 0
3 years ago
Dave has a three-year college loan for 10,000 the lender charges a simple interest rate of 6% how much interest will he have to
kondaur [170]
S.I = PxRxT / 100
Therefore
S.I.= $10000x3x6/100
=$900

6 0
3 years ago
Please Help I will give 82 Points and Brainliest
Scilla [17]

Answer:

B. 30

Step-by-step explanation:

2m^2 + 12

m = 3

2(3)^2 + 12

3 squared is 9

2(9) + 12

2 times 9 is 18

18 + 12 = 30

2m^2 + 12 = 30

5 0
3 years ago
Read 2 more answers
1/4 divided by 6 is ___
creativ13 [48]

Answer:

1/24

Step-by-step explanation:

1/4*1/6=1/24

7 0
2 years ago
Find the x- and y-intercepts for 3x-2y = 24
sleet_krkn [62]
X-intercept: (8,0)
Y-intercept:(0,-12)
7 0
3 years ago
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