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Alex_Xolod [135]
3 years ago
14

Find the value of x.​

Mathematics
2 answers:
snow_lady [41]3 years ago
6 0

Answer:

x = 6

Step-by-step explanation:

The segment from O to the chord is a perpendicular bisector.

The triangle formed is right with legs x and 8 and hypotenuse 10

Using Pythagoras' identity in the right triangle, then

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take the square root of both sides )

x = \sqrt{36} = 6

Basile [38]3 years ago
4 0

Answer:

Step-by-step explanation:

diameter = 20

radius  = 10 units

Length of Chord = 16 units

The perpendicular from the center to a chord, bisect the chord.

So, base = 16/2 = 8units

Use Pythagorean theorem.

x² + 8² = 10²

x² + 64 = 100

x² = 100 -64

x² = 36

x = √36 = √6*6

x = 6 units

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In a study of the accuracy of fast food drive-through orders, McDonald’s had 33 orders that were not accurate among 362 orders o
melomori [17]

Answer:

A. We need to conduct a hypothesis in order to test the claim that the true proportion of inaccurate orders p is 0.1.

B. Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

C. z=\frac{0.0912 -0.1}{\sqrt{\frac{0.1(1-0.1)}{362}}}=-0.558  

D. z_{\alpha/2}=-1.96  z_{1-\alpha/2}=1.96

E. Fail to the reject the null hypothesis

F. So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of inaccurate orders is not significantly different from 0.1.  

Step-by-step explanation:

Data given and notation

n=362 represent the random sample taken

X=33 represent the number of orders not accurate

\hat p=\frac{33}{363}=0.0912 estimated proportion of orders not accurate

p_o=0.10 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

A: Write the claim as a mathematical statement involving the population proportion p

We need to conduct a hypothesis in order to test the claim that the true proportion of inaccurate orders p is 0.1.

B: State the null (H0) and alternative (H1) hypotheses

Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

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.

C: Find the test statistic

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

z=\frac{0.0912 -0.1}{\sqrt{\frac{0.1(1-0.1)}{362}}}=-0.558  

D: Find the critical value(s)

Since is a bilateral test we have two critical values. We need to look on the normal standard distribution a quantile that accumulates 0.025 of the area on each tail. And for this case we have:

z_{\alpha/2}=-1.96  z_{1-\alpha/2}=1.96

P value

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=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z  

E: Would you Reject or Fail to Reject the null (H0) hypothesis.

Fail to the reject the null hypothesis

F: Write the conclusion of the test.

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of inaccurate orders is not significantly different from 0.1.  

6 0
3 years ago
Are these triangles congruent? If so, name the triangle congruence method.
mars1129 [50]

Answer:

The answer you chose is correct

Step-by-step explanation:

4 0
3 years ago
Can someone please solve this problem for me?
statuscvo [17]

Answer:

5 and 7.

Step-by-step explanation:

Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:

*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.

x *(x+2)=35

Expanding, you get:

x^{2}+2x = 35.

And moving the 35 to the other side, you get a simple quadratic.

x^{2}+2x -35 =0.

Solving by factoring:

(x+7)(x-5)

This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).

5 0
3 years ago
Please answer these 2 questions first to get them right gets brainliest :'(
Dmitriy789 [7]

Answer:

The first one is y = 8 and the second one is y = 4.

Step-by-step explanation:

You plug the numbers in for x and then solve the equations.

5 0
2 years ago
Help!! I need an answer asap!! <br><br> Given a∥b, find m∠1 = 71º. <br> Find: m∠5, m∠8
Sindrei [870]

Answer:

m<5 = 71 and m<8 = 109

Step-by-step explanation:

m<1 is equivalent to m<5 and m<2 is equivalent to m<8.

5 0
2 years ago
Read 2 more answers
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