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2 years ago

POSSIBLE POINTS: 5.26

Mathematics

1 answer:

azamat2 years ago

6 0

Answer:

<h3>The volume is 144.</h3>

Step-by-step explanation:

Volume of a rectangular solid = l × w × h

where

l is the length

w is the width

h is the height

From the question

l = 12 feet

w = 3 feet

h = 4 feet

Volume = 12 × 3 × 4

= 144 feet

Hope this helps you.

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5. The superintendent of the local school district claims that the children in her district are brighter, on average, than the g

anygoal [31]

Answer:

We conclude that children in district are brighter, on average, than the general population.

Step-by-step explanation:

We are given the following data set:

105, 109, 115, 112, 124, 115, 103, 110, 125, 99

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1117}{10} = 111.7$

Sum of squares of differences = 642.1

$S.D = \sqrt{\frac{642.1}{49}} = 8.44$

We are given the following in the question:

Population mean, μ = 106

Sample mean, $\bar{x}$ = 111.7

Sample size, n = 10

Alpha, α = 0.05

Sample standard deviation, s = 8.44

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 106\\H_A: \mu > 106$

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

Formula:

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

Putting all the values, we have

$t_{stat} = \displaystyle\frac{111.7 - 106}{\frac{8.44}{\sqrt{10}} } = 2.135$

Now,

$t_{critical} \text{ at 0.05 level of significance, 9 degree of freedom } = 1.833$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that children in district are brighter, on average, than the general population.

4 0

2 years ago

What is h=3.6 what h

emmainna [20.7K]

Answer:

3.6 since h = 3.6

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

PLS HELP I DONT UNDERSTAND :( WILL GIVE BRAINLIEST !!!

vodomira [7]

the answer is c

i already done it

5 0

2 years ago

Read 2 more answers

The total weight of a box cannot exceed 17 pounds so far she has packed 3 1/4 pictures two books weighing 1 3/4 pounds and a jac

tatuchka [14]

You can pack up to 10 1/5 pounds more stuff without going over

8 0

3 years ago

The equation a = 50m + 100 represents the amount of money in Malorie’s bank account as a function of time, in months. The table

Gnesinka [82]

Answer:

A: 300 B: Malorie

Step-by-step explanation: Katina's account starts at $200 and increases by $20 each month. Malorie starts at only $100 but increases at a rate of $50 per month. for "A", Katina is 4 months in which equals $280. so, you take Malorie's $50 rate times the 4 months and you get $200. You then add that $200 to the starting $100 to equal $300.

B: 50m>20m. Malorie's monthly rate is listed in the equation as $50. Katina's rate of $20 comes from the $20 increase in her account each month.

3 0

1 year ago