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Nonamiya [84]
1 year ago
8

[20 pts] Hi! Could I please get some help? Using the map above, assuming that Browning St and Old St are parallel, if angle 1 is

2x + 8, and angle 8 is x + 10, find the value of x and find the measure of angle 8. Please show all your work for full credit. (On the map, angles 1 and 8 are diagonal from each other)
Mathematics
1 answer:
nadezda [96]1 year ago
5 0

The value of x is 54 and the measure of angle 8 is 64 degrees

<h3>How to determine the value of x and find the measure of angle 8?</h3>

The given parameters are

Angle 1 = 2x + 10

Angle 8 = x + 10

The figure that completes the question is added as an attachment


From the figure, we have

Angle 1 = Angle 3 ---- vertical angles

Angle 3 + Angle 8 = 180 ---- internal angles within the transversal

Substitute Angle 1 = Angle 3 in the equation Angle 3 + Angle 8 = 180

Angle 1 + Angle 8 = 180

Substitute the known values in the above equation

2x + 8 + x + 10 = 180

Evaluate the like terms

3x = 162

Divide both sides by 3

x = 54

Substitute x = 54 in Angle 8 = x + 10

Angle 8 = 54 + 10

Evaluate

Angle 8 = 64

Hence, the value of x is 54 and the measure of angle 8 is 64 degrees

Read more about angles at:

brainly.com/question/25716982

#SPJ1

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1. (5pt) In a recent New York City marathon, 25,221 men finished and 253 dropped out. Also,
gladu [14]

Answer:

(a) Explained below.

(b) The 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

Step-by-step explanation:

The information provided is:

n (Men who finished the marathon) = 25,221

n (Women who finished the marathon) = 12,883

Compute the proportion of men and women who finished the marathon as follows:

\hat p_{1}=\frac{25221}{25221 +253}=0.99\\\\\hat p_{2}=\frac{12883 }{12883+163}=0.988

The combined proportion is:

\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}\\\\=\frac{25221+12883}{38520}\\\\=0.989

(a)

The hypothesis is:

<em>H</em>₀: The rate of those who finish the marathon is the same for men and women, i.e. <em>p</em>₁ - <em>p</em>₂ = 0.

<em>Hₐ</em>: The rate of those who finish the marathon is not same for men and women, i.e. <em>p</em>₁ - <em>p</em>₂ ≠ 0.

Compute the test statistic as follows:

Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)\cdot [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}

   =\frac{0.99-0.988}{\sqrt{0.989(1-0.989)\times[\frac{1}{25474}+\frac{1}{13046}]}}\\\\=1.78

Compute the <em>p</em>-value as follows:

p-value=2\times P(Z>1.78)\\\\=2\times 0.03754\\\\=0.07508\\\\\approx 0.075

The <em>p</em>-value of the test is more than the significance level. The null hypothesis was failed to be rejected.

Thus, concluding that the rate of those who finish is the same for men and women.

(b)

Compute the 99% confidence interval for the difference between proportions as follows:

The critical value of <em>z</em> for 99% confidence level is 2.58.

CI=(\hat p_{1}-\hat p_{2})\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p_{1}(1-\hat p_{1})}{n_{1}}+\frac{\hat p_{2}(1-\hat p_{2})}{n_{2}}}

     =(0.99-0.988)\pm 2.58\times\sqrt{\frac{0.99(1-0.99)}{25474}+\frac{0.988(1-0.988)}{13046}}\\\\=0.002\pm 0.00294\\\\=(-0.00094, 0.00494)\\\\

Thu, the 99% confidence interval for the difference between proportions is (-0.00094, 0.00494).

6 0
3 years ago
The question is below (Giving Brainliest)
WITCHER [35]

Answer:

Hiya there!

Step-by-step explanation:

I'm pretty sure that its 80.

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For number 2 I know the answer but I just need work so if you could please explain the work I’d be thankful
const2013 [10]

Answer:

Step-by-step explanation: when you take 521 and divide it by 4 you get 130.25, which is about 130, making you choose answer choice B. (lol i like your profile picture too!!)

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Answer:

X is 50

Step-by-step explanation:

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Find the zeros of h(x) = -5x2 – 20.
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The answer will be x=2i,-2i
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