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2 years ago

A van travels 300 miles on 15 gallons of gas. Find how many gallons the van needs to travel 360 miles

Mathematics

1 answer:

ANTONII [103]2 years ago

7 0

Answer: The Van needs 18 gallons of gas to travel 360 miles.

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I have dyscalculia and I hate math. I am absolutely confused about multi step equations with fractions.

Galina-37 [17]

Answer:

If you have *dyslexia, then how do you know how to spell so well?

Step-by-step explanation:

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2 years ago

Julie has three boxes of pens. The diagram shows expressions for the number of pens in each box. Look at these equations.

vovangra [49]

Answer:

a = c + 16

Step-by-step explanation:

a = b + 12

b = c + 4

Solve for b in the first equation.

a = b + 12

a - 12 = b

Put b as a - 12 in the second equation and solve for a.

a - 12 = c + 4

a = c + 4 + 12

a = c + 16

4 0

3 years ago

Read 2 more answers

If 14x = 14−−√131413, what value of x makes this equation true?

kramer

X = 26.89352
1. remove parenthesis
2. divide both sides by 14

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3 years ago

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Which of the k-values satisfy the following inequality?

Arte-miy333 [17]

6>2k+4
2>2k
1>k

k has to be less than 1

Answer: a) k=0

Hope this helps:)

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3 years ago

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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