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3 years ago

there are 20 children in a class,and each student has 12 pencils and 3 dozen erasers how many dozen erasers are there in all

Mathematics

1 answer:

Molodets [167]3 years ago

5 0

Answer:

720

Step-by-step explanation:

Heck that's a lot of erasers!!!

36 (erasers per child) x 20 (the number of children) = 720 (number of erasers)

Chow,...!

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Consider the following data set: 11, 6, -2, -4 -5, 0, 8, 15 , Find the median.

s2008m [1.1K]

$\bold{ANSWER:}$
Median —> 3

$\bold{SOLUTION:}$

7 0

2 years ago

Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te

andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 pound

Sample mean, $\bar{x}$ = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 2 pounds

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}$

We use one-tailed(left) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012$

Now,

$t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

5 0

4 years ago

In the coordinate plane, what is the length of the line segment that connects points at (5, 4) and (−3, −1) ? Enter your answer

stiks02 [169]

The distance between two points knowing theirs coordinates:

AB =√[(x₂-x₁)² +(y₂-y₁)²]; ===>A(5,-4) & B(-3,-1) Given
A(x₁,y₁) & B(x₂,y₂)

AB =√[(-3-5))²+(-1-(-4)²] =√(73) = 8.381 ≈ 5.44 units

3 0

3 years ago

Find the general term of the sequence c.1 { 10, 5, 0, -5, -10 } c.2 { 1, 4, 9, 16, 25 }

Ivan

Answer:

1. 15 - 5n where n>=1

2. n² where n>=1

Step-by-step explanation:

1. {10, 5, 0, -5, -10} is an Arithmetic Progression

nth term is a + (n - 1)d

where a = first term, n= nth term, d= common difference.

a = 10, d = -5 (5-10, 0-5, -5-0, -10-(-5))

Therefore, nth(General) term of the sequence:

= 10 + (n - 1)-5

= 10 + (-5n) + 5

= 10 + 5 - 5n

= 15 - 5n

Test:

if n = 1; 15 - 5(1) = 10

if n = 2; 15 - 5(2) = 5

if n = 3; 15 - 5(3) = 0 and so on.

2. {1, 4, 9, 16, 25}

The general term of the sequence is n²

Test:

if n = 1; 1² = 1

if n = 2; 2² = 4

if n = 3; 3² = 9 and so on.

5 0

3 years ago

mrs hamilton worked for a real estate agency. she sold a house for $175,000. the agency's fee for the sale was 4% of the sale pr

katrin2010 [14]

You wrote $4,7725 and i dont understand the question.

3 0

3 years ago

there are 20 children in a class,and each student has 12 pencils and 3 dozen erasers how many dozen erasers are there in all​

there are 20 children in a class,and each student has 12 pencils and 3 dozen erasers how many dozen erasers are there in all