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Olegator [25]
3 years ago
13

Y - 4 × x - 6 is? ​

Mathematics
2 answers:
Vlad [161]3 years ago
6 0

Answer:

y-4x-6

Step-by-step explanation:

I'm not 100% sure but I think this is correct!

Strike441 [17]3 years ago
6 0

Answer:

y - 4x - 6

Step-by-step explanation:

y - 4 • x - 6 = y - 4x - 6

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Write the equation of the graph in vertex form enter power using ^ and don’t forget y or f(x)
enyata [817]
Me!!!! 245554! Then do 45316
8 0
3 years ago
The moon is a sphere with radius of 959 km. Determine an equation for the ellipse if the distance of the satellite from the surf
Sergeeva-Olga [200]

Answer:

\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1

Step-by-step explanation:

An ellipse is the locus of a point such that its distances from two fixed points, called foci, have a sum that is equal to a positive constant.

The equation of an ellipse with a center at the origin and the x axis as the minor axis is given by:

\frac{x^2}{b^2}+\frac{y^2}{a^2} =1 \\\\where\ a>b

Since the distance of the satellite from the surface of the moon varies from 357 km to 710 km, hence:

b = 357 km + 959 km = 1316 km

a = 710 km + 959 km = 1669 km

Therefore the equation of the ellipse is:

\frac{x^2}{1316^2}+\frac{y^2}{1669^2}=1

5 0
3 years ago
A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbar​, is found
joja [24]

Answer:

(a) 80% confidence interval for the population mean is [109.24 , 116.76].

(b) 80% confidence interval for the population mean is [109.86 , 116.14].

(c) 98% confidence interval for the population mean is [105.56 , 120.44].

(d) No, we could not have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed.

Step-by-step explanation:

We are given that a simple random sample of size n is drawn from a population that is normally distributed.

The sample​ mean is found to be 113​ and the sample standard​ deviation is found to be 10.

(a) The sample size given is n = 13.

Firstly, the pivotal quantity for 80% 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 = 113

             s = sample standard​ deviation = 10

             n = sample size = 13

             \mu = population mean

<em>Here for constructing 80% confidence interval we have used One-sample t test statistics as we don't know about population standard deviation.</em>

<u>So, 80% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-1.356 < t_1_2 < 1.356) = 0.80  {As the critical value of t at 12 degree

                                          of freedom are -1.356 & 1.356 with P = 10%}  

P(-1.356 < \frac{\bar X-\mu}{\frac{s}{\sqrt{n} } } < 1.356) = 0.80

P( -1.356 \times }{\frac{s}{\sqrt{n} } } < {\bar X-\mu} < 1.356 \times }{\frac{s}{\sqrt{n} } } ) = 0.80

P( \bar X-1.356 \times }{\frac{s}{\sqrt{n} } } < \mu < \bar X+1.356 \times }{\frac{s}{\sqrt{n} } } ) = 0.80

<u>80% confidence interval for </u>\mu = [ \bar X-1.356 \times }{\frac{s}{\sqrt{n} } } , \bar X+1.356 \times }{\frac{s}{\sqrt{n} } }]

                                           = [ 113-1.356 \times }{\frac{10}{\sqrt{13} } } , 113+1.356 \times }{\frac{10}{\sqrt{13} } } ]

                                           = [109.24 , 116.76]

Therefore, 80% confidence interval for the population mean is [109.24 , 116.76].

(b) Now, the sample size has been changed to 18, i.e; n = 18.

So, the critical values of t at 17 degree of freedom would now be -1.333 & 1.333 with P = 10%.

<u>80% confidence interval for </u>\mu = [ \bar X-1.333 \times }{\frac{s}{\sqrt{n} } } , \bar X+1.333 \times }{\frac{s}{\sqrt{n} } }]

                                              = [ 113-1.333 \times }{\frac{10}{\sqrt{18} } } , 113+1.333 \times }{\frac{10}{\sqrt{18} } } ]

                                               = [109.86 , 116.14]

Therefore, 80% confidence interval for the population mean is [109.86 , 116.14].

(c) Now, we have to construct 98% confidence interval with sample size, n = 13.

So, the critical values of t at 12 degree of freedom would now be -2.681 & 2.681 with P = 1%.

<u>98% confidence interval for </u>\mu = [ \bar X-2.681 \times }{\frac{s}{\sqrt{n} } } , \bar X+2.681 \times }{\frac{s}{\sqrt{n} } }]

                                              = [ 113-2.681 \times }{\frac{10}{\sqrt{13} } } , 113+2.681 \times }{\frac{10}{\sqrt{13} } } ]

                                               = [105.56 , 120.44]

Therefore, 98% confidence interval for the population mean is [105.56 , 120.44].

(d) No, we could not have computed the confidence intervals in parts​ (a)-(c) if the population had not been normally​ distributed because t test statistics is used only when the data follows normal distribution.

6 0
3 years ago
What number does these numbers share -21,22,65?
finlep [7]

Answer:

uh cuz

Step-by-step explanation:

8 0
3 years ago
a large serving of soup from Dayton's restaurant is 4/5 liters. The restaurant has 4 liters of soup leftover at the end of the n
DochEvi [55]
The restaurant has 5 servings left.
All you do is multiply 4 by 1.2
5 0
3 years ago
Read 2 more answers
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