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3 years ago

Write the phrase as an expression. the product of 3+12 an expression is _____

Mathematics

1 answer:

Dima020 [189]3 years ago

8 0

Answer:

Writing expressions | Math (article) | Khan Academy

Step-by-step explanation:

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5/6 - 1/3 x 7/8 (The x is multiplication)

12345 [234]

5/6 - 1/3 × 7/8
5/6 - 7/24
20/24 - 7/24
13/24

do the multiplication first

4 0

3 years ago

Bottles of purified water are assumed to contain 250 milliliters of water. There is some variation from bottle to bottle because

marshall27 [118]

Answer:

We accept H₀ we don´t have evidence of differences between the information from the sample and the population mean

Step-by-step explanation:

From data and excel (or any statistics calculator) we get:

X = 249,6 ml and s 1,26 ml

Sample mean and sample standard deviation respectively.

Population mean μ₀ = 250 ml

We have a normal distribution but we dont know the standard deviation of the population. Furthermore we have a two tails test since we are finding if the sample give us evidence of differences ( in both senses ) when we compare them with the amount of water spec ( 250 ml )

Our test hypothesis are: null hypothesis H₀ X = μ₀

Alternative Hypothesis Hₐ X ≠ μ₀

We also know that sample size is 8 therefore df = 8 - 1 df = 7 , with this value and the fact that we are required to test at α = 0,05 ( two tails test)

t = 2,365

Then we evaluate our interval:

X ± t* (s/√n) ⇒ 249,6 ± 2,365 * ( 1,26/√8 )

249,6 ± 2,365 * (1,26/2,83) ⇒ 249,6 ± 2,365 *0,45

249,6 ± 1,052

P [ 250,652 ; 248,548]

Then the population mean 250 is inside the interval, therefore we must accept that the bottles have being fill withing the spec. We accept H₀

7 0

3 years ago

There are 14 juniors and 16 seniors in a chess club. a) From the 30 members, how many ways are there to arrange 5 members of the

Dmitrij [34]

Answer:

a) 17,100,720

b) 4,717,440

c) 10,920

d) 2821

Step-by-step explanation:

14 juniors and 16 seniors = 30 people

a) From the 30 members, how many ways are there to arrange 5 members of the club in a line?

As it is a ordered arrangement

30.29.28.27.26 = 17,100,720

b) How many ways are there to arrange 5 members of the club in a line if there must be a senior at the beginning of the line and at the end of the line?

16.28.27.26.15 = 4,717,440

c) If the club sends 2 juniors and 2 seniors to the tournament, how many possible groupings are there?

Not ordered arrangement. And means that we need to multiply the results.

C₁₄,₂ * C₁₆,₂

C₁₄,₂ = 14.13.12! = 14.13 = 91

12! 2! 2

C₁₆,₂ = 16.15.14! = 16.15 = 120

14! 2! 2

C₁₄,₂ * C₁₆,₂ = 91.120 = 10,920

d) If the club sends either 4 juniors or 4 seniors, how many possible groupings are there?

Or means that we need to sum the results.

C₁₄,₄ + C₁₆,₄

C₁₄,₄ = 14.13.12.11.10! = 14.13.12.11 = 1001

10! 4! 4.3.2.1

C₁₆,₄ = 16.15.14.13.12! = 16.15.14.13 = 1820

12! 4! 4.3.2.1

C₁₄,₄ + C₁₆,₄ = 1001 + 1820 = 2821

7 0

4 years ago

How to solve - (12/h) -7f h=3 f=7

pogonyaev

Answer:

-53

Step-by-step explanation:

-(12/3)-7(7)

-4-49=-53

4 0

3 years ago

* ANSWER QUICK PLEASE :)* The map shows the dimensions of five counties in a Midwestern state. Which expression gives the area o

SOVA2 [1]

Answer:

101218141812

Step-by-step explanation:

3 0

3 years ago

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