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4 years ago

Which statement about the triangle shown below is true (Image) ^

2 answers:

7 0

Right triangle = has a 90 degree angle
Acute triangle = has angles less than 90 degrees
Obtuse = has angles more than 90 degrees
Equiangular triangle = all angles are the same amount of degrees

Hope this helped!

Free_Kalibri [48]4 years ago

4 0

Answer:

It is an acute triangle.

Step-by-step explanation:

An acute triangle is a triangle in which all angles measure less than 90°. All three angles of this triangle are less than 90, so this is an acute triangle.

A right triangle is a triangle with one right angle (measures 90°); this does not have a right angle so this is not a right triangle.

An obtuse triangle is a triangle with one obtuse angle (more than 90°). This triangle does not have an obtuse angle so this is not an obtuse triangle.

An equiangular triangle is one where all three angles measure the same. These three angles are all different, so this is not equiangular.

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Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify t

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Answer:

There is sufficient evidence to conclude that child booster seats meet the specific requirement.

Step-by-step explanation:

Sample: 697, 759, 1266, 621, 569, 432

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.

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

$Mean =\displaystyle\frac{4344}{6} = 724$

Sum of squares of differences = 415616

$S.D = \sqrt{\frac{415616}{5}} = 288.31$

We are given the following in the question:

Population mean, μ = 1000 hic

Sample mean, $\bar{x}$ = 724

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = 288.31

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 1000\text{ hic}\\H_A: \mu < 1000\text{ hic}$

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

Formula:

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

Putting all the values, we have

$t_{stat} = \displaystyle\frac{724 - 1000}{\frac{288.31}{\sqrt{6}} } = -2.344$

Now, $t_{critical} \text{ at 0.05 level of significance, 5 degree of freedom } = -2.015$

Calculation the p-value from table,

P-value = 0.033

Since,

Since, the p value is lower than the significance level, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

We conclude that the measurement is less than 1000 hic.

Thus, there is sufficient evidence to conclude that child booster seats meet the specific requirement.

4 0

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20 POINTS HELP :)))))))))))))))))))))))))))))))))

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12.6j + 8 = 10.2j + 4.4

2.4j = -3.6

j = -1.5

Hope this helps! ;)

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Step-by-step explanation:

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