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3 years ago

The measure of an angle is 111°. What is the measure of a supplementary angle?

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

4 0

Supplementary is 180 degrees

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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

PLEASE ANSWER THIS ASAP GOD LOVES YOU

MaRussiya [10]

Answer:

The area of the cross section would be 160in squared

Step-by-step explanation:

They are asking for the area of the cross section, the rectangle that is splitting the prism in half. Area=heightxwidth. So, you would just multiply 10x16 to get your answer, which would be 160.

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3 years ago

The ratio of red candies to blue candies is 5:4 in the bag. If there are 20 blue candies in the bag, how many red candies are th

aksik [14]

Answer:

Step-by-step explanation:

4/20 is 5 so 5*5 is 25 red candies

5 0

3 years ago

Read 2 more answers

of 375 musicians at a high school, some play only in the jazz band, some play only for the marching band, and some do both. if 2

Monica [59]

250-130=120
375-120= 255

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3 years ago

PLEASE HELP ASAP

Crank

Answer: it might be 4 because 5x=20

Step-by-step explanation:

7 0

3 years ago