1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nookie1986 [14]
2 years ago
8

What do i say for this please help :((((

Mathematics
1 answer:
Ostrovityanka [42]2 years ago
3 0

Answer:

Step-by-step explanation:

Error 1) It should be divided by 5.

x - 5 = 0

x = 5

Error 2) -3   15   0    -1     5

coefficient of x² is 0 and it is not included

You might be interested in
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
2 years ago
This Christmas, your brother Jack will be 2 years from being twice as old as your sister Jen. The sum of Jacks age and three tim
zhannawk [14.2K]

Age of Jen is 13.6 years old

<em><u>Solution:</u></em>

Let "x" be the age of Jack and "y" be the age of Jen

Given that This Christmas, your brother Jack will be 2 years from being twice as old as your sister Jen

The above sentence can be written mathematically as:

Jack age + 2 = twice of age of Jen

x + 2 = 2y\\\\x = 2y - 2---- eqn 1

The sum of Jacks age and three times Jen's age is 66

Jack age + three times Jen age = 66

x + 3y = 66 ---- eqn 2

Substitute eqn 1 in eqn 2

2y - 2 + 3y = 66

5y - 2 = 66

5y = 68

<h3>y = 13.6</h3>

Thus age of Jen is 13.6 years old

5 0
3 years ago
What is the surface area of the triangular prism?
Natalija [7]

Answer:

the answer is c

Step-by-step explanation:

7 0
2 years ago
Lisa sells cars for a salary of 2500 per month plus 2% commission of her total car sales. What should her total of car sales be
Bumek [7]

Answer:

$50,000

Step-by-step explanation:

Let x = car sales

We multiply x by 0.02 since she earns 2% along with the added $2500 so that she can end up with $3500

3500 = 0.02x + 2500

Subtract 2500 from both sides

3500 - 2500 = 0.02x + 2500 - 2500

1000 = 0.02x

Divide both sides by 0.02

1000/0.02 = 0.02x/0.02

x = 50000

3 0
2 years ago
He graph shows the distance Henry drives on a trip. What is Henry’s speed
tatyana61 [14]
60 mph would be the correct answer!
Brainilest please! :)
8 0
3 years ago
Read 2 more answers
Other questions:
  • The length of a rectangle is 6 times longer than the width. The perimeter is 42. What is the width?
    6·1 answer
  • 70 points
    9·2 answers
  • What is the apparent solution to the system of equations graphed above?
    12·2 answers
  • 20 POINT TO THE FIRST ANSWER + BRAINLIEST!!!
    10·1 answer
  • Solve for z -9(d+z)=-2z+59
    12·2 answers
  • Rewrite 14/36 in simplest form.
    7·2 answers
  • What is the y-intercept in the table of values
    10·1 answer
  • 2. How many ounces of Ceylon tea worth $1.50 per ounce
    12·1 answer
  • PLEASEEE HELP IM ON A TIMER
    6·2 answers
  • A chi-squared curve is symmetric about 0
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!