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
soldi70 [24.7K]
3 years ago
6

you own seven travel books and are taking five of them on vacation. in how many ways can you select the five books you will take

?
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0
It depends on how many options you have
You multiply the total number of books you have time 5 because you can choose 5
You might be interested in
What is the least common multiple you could use to find 4/5 + 5/6?
damaskus [11]
Tbh idk ask your teacher
4 0
4 years ago
(21gh^4)(6g^6h^2)(3g^2h^6) find the greatest common factor of the monomials
mezya [45]
The answer is
3g {h}^{2}
To find greatest common factor, look at the variables: g, h

Look at their coefficients and exponents:
21g \: \:  \:  6 {g}^{6}  \:  \:  \: 3 {g}^{2}  \\  {h}^{4}  \:  \:  \:  {h}^{2}  \:  \:  \:  {h}^{6}
Find the two groups' GCF:
3g \\  {h}^{2}
Combine:
3g {h}^{2}
6 0
3 years ago
In a regression analysis involving 30 observations, the following estimated regressionequation was obtained.y^ =17.6+3.8x 1 −2.3
USPshnik [31]

Answer:

(a) There is a significant relationship between y and x_1, x_2, x_3, x_4

(b) SSE_{(x_1 ,x_2 ,x_3 ,x_4) }= 45

(c) SSE_{(x_2,x_3)} = 100

(d) x_1 and x_4 are significant

Step-by-step explanation:

Given

y = 17.6+3.8x_1 - 2.3x_2 +7.6x_3 +2.7x_4 --- estimated regression equation

n = 30

p = 4 --- independent variables i.e. x1 to x4

SSR = 1760

SST = 1805

\alpha = 0.05

Solving (a): Test of significance

We have:

H_o : There is no significant relationship between y and x_1, x_2, x_3, x_4

H_a : There is a significant relationship between y and x_1, x_2, x_3, x_4

First, we calculate the t-score using:

t = \frac{SSR}{p} \div \frac{SST - SSR}{n - p - 1}

t = \frac{1760}{4} \div \frac{1805- 1760}{30 - 4 - 1}

t = 440 \div \frac{45}{25}

t = 440 \div 1.8

t = 244.44

Next, we calculate the p value from the t score

Where:

df = n - p - 1

df = 30 -4 - 1=25

The p value when t = 244.44 and df = 25 is:

p =0

So:

p < \alpha i.e. 0 < 0.05

Solving (b): SSE(x_1 ,x_2 ,x_3 ,x_4)

To calculate SSE, we use:

SSE = SST - SSR

Given that:

SSR = 1760 ----------- (x_1 ,x_2 ,x_3 ,x_4)

SST = 1805

So:

SSE_{(x_1 ,x_2 ,x_3 ,x_4)} = 1805 - 1760

SSE_{(x_1 ,x_2 ,x_3 ,x_4) }= 45

Solving (c): SSE(x_2 ,x_3)

To calculate SSE, we use:

SSE = SST - SSR

Given that:

SSR = 1705 ----------- (x_2 ,x_3)

SST = 1805

So:

SSE_{(x_2,x_3)} = 1805 - 1705

SSE_{(x_2,x_3)} = 100

Solving (d): F test of significance

The null and alternate hypothesis are:

We have:

H_o : x_1 and x_4 are not significant

H_a : x_1 and x_4 are significant

For this model:

y =11.1 -3.6x_2+8.1x_3

SSE_{(x_2,x_3)} = 100

SST = 1805

SSR_{(x_2 ,x_3)} = 1705

SSE_{(x_1 ,x_2 ,x_3 ,x_4) }= 45

p_{(x_2,x_3)} = 2

\alpha = 0.05

Calculate the t-score

t = \frac{SSE_{(x_2,x_3)}-SSE_{(x_1,x_2,x_3,x_4)}}{p_{(x_2,x_3)}} \div \frac{SSE_{(x_1,x_2,x_3,x_4)}}{n - p - 1}

t = \frac{100-45}{2} \div \frac{45}{30 - 4 - 1}

t = \frac{55}{2} \div \frac{45}{25}

t = 27.5 \div 1.8

t = 15.28

Next, we calculate the p value from the t score

Where:

df = n - p - 1

df = 30 -4 - 1=25

The p value when t = 15.28 and df = 25 is:

p =0

So:

p < \alpha i.e. 0 < 0.05

<em>Hence, we reject the null hypothesis</em>

7 0
3 years ago
a club has 36 members. if each member donates 12 items to an auction, how many items will there be in the auction
Inga [223]

Answer:

432

Step-by-step explanation:

36×12= 432

usjxjdjxh

8 0
3 years ago
Which expression is not equvialet to 28ax
Umnica [9.8K]

2(19-7) im pretty sure

3 0
3 years ago
Other questions:
  • RATIONAL EQUATIONS CAN ANYBODY HELP? need asap ):
    12·1 answer
  • Victor went to the barber to get a haircut. The haircut cost $9. Victor gave the barber a 25% tip. How much did Victor spend at
    11·2 answers
  • Express 0.2826 as a fraction
    11·2 answers
  • What is the total surface area of a cylinder? Write your answer as a polynomial in standard form.
    10·1 answer
  • 0.7 × 0.6 =<br> A) 0.042 <br> B) 0.42 <br> C) 4.2 <br> D) 42
    15·2 answers
  • A study was conducted to investigate whether a new drug could significantly reduce pan in people with arthritis. From a group of
    13·1 answer
  • When answering pls write the number of the question ur doing that will be amazing thank u soo much
    10·2 answers
  • Who else is in ISS in their school right now?
    15·1 answer
  • Highest common factor of 15 30 and 45
    7·2 answers
  • 69. The height of a triangle is 1 in more than the base. If the height is increased by 2 in while the base remains
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!