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2 years ago

FIND THE ANGLE OF X !! ONLY FOR "Owenyah"

Mathematics

2 answers:

satela [25.4K]2 years ago

4 0

Answer:

Hello, There! I'll be glad to help!

<h2>Question</h2><h3>FIND THE ANGLE OF X</h3><h2>Answer</h2>

The Answer is 24°

Step-by-step explanation:

You know that all three of the angles in a triangle add up to 180 degrees. Since you know two of the angles already, you can set up an equation like this:

92 + 64 + x = 180°

Now, solve for x to find the missing angle.

156 + x = 180°

156 − 156 + x = 180 − 156

x = 24

The missing angle measures 24 degrees.

joja [24]2 years ago

4 0

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Value of x :

$24 \degree$

$\large \boxed{ \mathfrak{Explanation}}$

The Angle sum of interior angles of a triangle is equal to 180°,

so, according to question :

$64 + 92 + x = 180$

$156 + x = 180$

$x = 180 - 156$

$x = 24 \degree$

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nikitadnepr [17]

Answer:

$z=\frac{0.4 -0.33}{\sqrt{\frac{0.33(1-0.33)}{200}}}=2.105$

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Step-by-step explanation:

1) Data given and notation

n=200 represent the random sample taken

X=80 represent the number of students that had jobs

$\hat p=\frac{80}{200}=0.4$ estimated proportion of students that had jobs

$p_o=0.3333$ is the value that we want to test

$\alpha=0.01$ represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion of students that have jobs at the school mentioned is higher than the reported value at the article:

Null hypothesis: $p\leq 0.33$

Alternative hypothesis: $p > 0.33$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.4 -0.33}{\sqrt{\frac{0.33(1-0.33)}{200}}}=2.105$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.01$ . The next step would be calculate the p value for this test.

Since is a right tailed test the p value would be:

$p_v =P(z>2.105)=0.018$

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an angle measures 24° less than the measure if a supplementary angle . what is the measure of each angle

vagabundo [1.1K]

Hey there!

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The easiest way to get this would be to subtract 12 degrees from one 90 degree angle and add them to the other 90 degree angle so one angle has 24 more degrees then the other.

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Let's check to make sure this works.

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