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3 years ago

What is the total cost of a DVD that sells for $22.99 plus a 5% sales tax?

Mathematics

2 answers:

brilliants [131]3 years ago

7 0

The total cost of it was $72.92 she had 10 dollars left.

Dmitry [639]3 years ago

5 0

It’s 72.92 and had $10 left

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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

3 years ago

Write a real world problem where the Unit rate is 6 miles per hr

Galina-37 [17]

This is just an example i came up with randomly:

Emma is going somewhere for vacation. Emma has been traveling for 6 hours and in those 6 hours, she has travelled 36 miles. How many miles did she travel in one hour?

8 0

2 years ago

Classify the polynomial 2x3 + 6x2 - 4 by the number of terms.

Andrej [43]

Answer:

trinomial

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Find the sum of the interior angle measure of a regular polygon with 20 sides

AleksAgata [21]

Answer:

3240°

Step-by-step explanation:

For a regular icosagon,

sum of interior angles measure=180(n-2)°

180(20-2)

180(18)=3240°

8 0

3 years ago

Please help need to get to 80%

Shalnov [3]

Answer:

$\frac{1}{6}$

Step-by-step explanation:

First, start by converting 4 feet to inches. Note that 1 foot = 12 inches.

Set up a unit converter:

$4\ ft(\frac{12\ in}{1\ ft})$

The ft cancel out leaving us with:

$4*12\ in=48\ in$

Now, we can set up a scale factor...

$\frac{drawing}{real\ length}=\frac{8}{48}=\frac{1}{6}$

3 0

3 years ago