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DanielleElmas [232]
3 years ago
14

Find the value of x.

Mathematics
1 answer:
skad [1K]3 years ago
3 0

Answer:

<h2>x = 75°</h2>

Step-by-step explanation:

The sum of angles in a quadrilateral add up to 360°

To find x add up all the angles and equate them to 360 to find x

We have

x - 5 + x + 35 + x + 1.4x = 360

3x + 1.4x + 30 = 360

4.4x = 360 - 30

4.4x = 330

Divide both sides by 4.4

We have the final answer as

<h3>x = 75°</h3>

Hope this helps you

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Helga [31]
I am sorry i dont understand

5 0
3 years ago
Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi
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Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles  carry just one person.    

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

\mu = np = 92(0.64) = 58.88

\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60

We have to evaluate the probability that more than 47 cars carry just one person.

P(x \geq 47)

After continuity correction, we will evaluate

P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)

= 1 - P(z \leq -2.6913)

Calculation the value from standard normal z table, we have,  

P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0
3 years ago
What is the best approximation for relative maximum of the polynomial function graphed below?
AlexFokin [52]

A. (0.6, -2.8)

Hope this helps! :)

8 0
3 years ago
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Vikki [24]

Answer:

I can't see the whole question.

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Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)
Eduardwww [97]

Given:

The figure of a right triangle. PO=12,m\angle O=y^\circ and perpendicular = 12.

To find:

The measure of angle y.

Solution:

In a right angle triangle,

\sin\theta=\dfrac{Perpendicular}{Hypotenuse}

In the given right angle triangle,

\sin y^\circ=\dfrac{7}{12}

y^\circ=\sin ^{-1}\dfrac{7}{12}

y^\circ=35.685335^\circ

y^\circ\approx 35.69^\circ

Therefore, the measure of angle y is y^\circ =35.69^\circ.

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3 years ago
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