A rug is 12 feet wide and 15 1/2 feet long what is the area of the rug

A college basketball game is 40 minutes long. Derrick’s favorite player participated for 60% of last week’s game. How many minut

alexandr1967 [171]

Answer:

24 minutes

Step-by-step explanation:

5 0

2 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

What does slope mean in math?What does slope mean in math?

brilliants [131]

Answer:

Step-by-step explanation:

One of the most important things to understand about lines is the definition of slope. Slope is the 'steepness' of the line, also commonly known as rise over run. We can calculate slope by dividing the change in the y-value between two points over the change in the x-value.

7 0

3 years ago

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Snow cone holders are sold in sleeves of 50. How much paper is needed for each sleeve if the cones have a slant height of 5 inch

Genrish500 [490]

Answer:

The correct answer is

Step-by-step explanation:

Snow cone holders are sold in sleeves of 50.

The cones have a slant height (l) of 5 inches and a radius (r) of 3 inches.

Surface area of each cone holder = π × r × l = π × 15 = 15π square inches.

Surface area of all 50 cones in the sleeve = 15π × 50 = 750π = 2357.143 square inches.