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
quester [9]
3 years ago
8

For a t distribution with degrees of freedom, find the area, or probability, in each region. a. To the right of (to 3 decimals)

b. To the left of (to 2 decimals) c. To the left of (to 2 decimals) d. To the right of (to 2 decimals) e. Between and (to 2 decimals) f. Between and (to 2 decimals)

Mathematics
1 answer:
ddd [48]3 years ago
8 0

Answer:

a) P(t>2.120) = 0.025

b) P(t<1.337) = 0.90

c) P(t<-1.746) = 0.05

d) P(t>2.583) = 0.01

e) P(-2.120<t<2.120) = 0.95

f) P(-1.746<t<1.746) = 0.90

Step-by-step explanation:

The question is incomplete:

For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.

a. To the right of 2.120. (Use 3 decimals.)

b. To the left of 1.337. (Use 2 decimals.)

c. To the left of -1.746. (Use 2 decimals.)

d. To the right of 2.583. (Use 2 decimals.)

e. Between -2.120 and 2.120. (Use 2 decimals.)

f. Between -1.746 and 1.746. (Use 2 decimals.)

We have a t-distribution with 16 degrees of freedom.

We can calculate the probabilities with a spreadsheet, a table or an applet.

We have to calculate the probabilities of:

a) P(t>2.120) = 0.025

b) P(t<1.337) = 0.90

c) P(t<-1.746) = 0.05

d) P(t>2.583) = 0.01

e) P(-2.120<t<2.120) = 0.95

f) P(-1.746<t<1.746) = 0.90

You might be interested in
What is the width of a rectangular figure that has a 3 centimeter length less then twice the width and the perimeter is 24 centi
k0ka [10]
7 cm should be correct
5 0
3 years ago
Read 2 more answers
Anita invested $6000, some at 5% and the rest at 6%. If the yearly income is $337.50, what is the amount invested at each rate?
Pepsi [2]

Let the amount invested with 5% interest be x

Therefore, the amount invested with 6% interest will be (6000-x)

It is given that the total interest earned yearly is $337.5. Thus, the equation of interest will be:

\frac{5}{100}x+\frac{6}{100}(6000-x)=337.5

Multiplying both sides by 100 we get:

5x+6(6000-x)=33750

5x+36000-6x=33750

Subtracting both sides by 36000 we get:

-x=-2250

\therefore x=2250

Thus, the amount invested at 5% is $2250

Therefore, the amount invested at 6% will be $(6000-2250)=$3750

6 0
3 years ago
What is the surface area of a cube whose edges are 11 inches long?
Pepsi [2]
11 * 11 * 6 = 726 square inches
7 0
3 years ago
A = 1011 + 337 + 337/2 +1011/10 + 337/5 + ... + 1/2021
egoroff_w [7]

The sum of the given series can be found by simplification of the number

of terms in the series.

  • A is approximately <u>2020.022</u>

Reasons:

The given sequence is presented as follows;

A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021

Therefore;

  • \displaystyle A = \mathbf{1011 + \frac{1011}{3} + \frac{1011}{6} + \frac{1011}{10} + \frac{1011}{15} + ...+\frac{1}{2021}}

The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;

  • \displaystyle a_{n+1} = \mathbf{\frac{n^2 + 3 \cdot n + 2}{2}}

Therefore, for the last term we have;

  • \displaystyle 2043231= \frac{n^2 + 3 \cdot n + 2}{2}

2 × 2043231 = n² + 3·n + 2

Which gives;

n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0

Which gives, the number of terms, n = 2020

\displaystyle \frac{A}{2}  = \mathbf{ 1011 \cdot  \left(\frac{1}{2} +\frac{1}{6} + \frac{1}{12}+...+\frac{1}{4086460}  \right)}

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2} +\frac{1}{2} -  \frac{1}{3} + \frac{1}{3}- \frac{1}{4} +...+\frac{1}{2021}-\frac{1}{2022}  \right)

Which gives;

\displaystyle \frac{A}{2}  = 1011 \cdot  \left(1 - \frac{1}{2022}  \right)

\displaystyle  A = 2 \times 1011 \cdot  \left(1 - \frac{1}{2022}  \right) = \frac{1032231}{511} \approx \mathbf{2020.022}

  • A ≈ <u>2020.022</u>

Learn more about the sum of a series here:

brainly.com/question/190295

8 0
2 years ago
Read 2 more answers
In exercises 21 and 22, find the indicated angle measure. (See photo)
Fudgin [204]

Answer:

42°, 101°

Step-by-step explanation:

These answers come from the angle subtraction postulate.

5 0
2 years ago
Read 2 more answers
Other questions:
  • The property taxes on a boat were $2,883. What was the tax rate if the boat was valued at $175,000? Round your answer to the nea
    14·1 answer
  • Jane is Billy's sister, Jane is 3 years older than 2 times Billy's age. If Billy is 7 years old then how old is Jane?
    7·2 answers
  • What is the domain of the function y=-4x-1 when the range is -25
    9·1 answer
  • What’s the slope-intercept form of y + 3 = 4(x - 5),
    12·2 answers
  • B/8=56 what is b i am doing a late math paper can someone help me fast?
    5·2 answers
  • URGENT PLEASE HELP 98 POINTS Find the direction angle of vector v to the nearest tenth of a degree.
    11·2 answers
  • Câu 1: Giả sử, có số liệu tối đa hai mặt hàng chuối và táo mà Việt Nam và Trung Quốc có thể sản xuất được trong điều kiện sử dụn
    10·1 answer
  • 4 × (3 + 7) = (4 ×[]) + (4 ×[])
    8·1 answer
  • A sticker costs 25 cents. How many dollars is that?
    5·2 answers
  • 7.) Find the 3rd angle of the first triangle, then<br> find the value of x.<br> 600<br> 400<br> (x)
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!