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3 years ago

Finding angle measures between intersecting lines

Mathematics

2 answers:

padilas [110]3 years ago

5 0

Answer:

x = 60°

Step-by-step explanation:

First, note that the 30° angle and Angle CGE are vertical angles; therefore, Angle CGE is also a 30° angle.

Next, note that Angles CGE and x are complementary angles; that is, they sum up to 90°.

Subtracting Angle CGE (a 30° angle) from 90° yields 60°. This is the desired answer: x = 60°

Doss [256]3 years ago

3 0

Answer:

x = 60°

Step-by-step explanation:

G= 90°

30 + 90 = 120

180 - 120 = 60

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Graph the function: <br> f(x)=5/2x-6

MrMuchimi

Plug in any value for x and then you will get y. Use the coordinates to plot.
Example
x= 2
5/2(2)-6
5-6
-1
(2,-1)
Then continue to do the same.

5 0

3 years ago

Accuracy in taking orders at a drive-through window is important for fast-food chains. Periodically, QSR Magazine publishes "The

pav-90 [236]

Answer:

a) 0.7412 = 74.12% probability that all the three orders will be filled correctly.

b) 0.0009 = 0.09% probability that none of the three will be filled correctly

c) 0.0245 = 2.45% probability that at least one of the three will be filled correctly.

d) 0.9991 = 99.91% probability that at least one of the three will be filled correctly

e) 0.0082 = 0.82% probability that only your order will be filled correctly

Step-by-step explanation:

For each order, there are only two possible outcomes. Either it is filled correctly, or it is not. Orders are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The percentage of orders filled correctly at Burger King was approximately 90.5%.

This means that $p = 0.905$

You and 2 friends:

So 3 people in total, which means that $n = 3$

a. What is the probability that all the three orders will be filled correctly?

This is P(X = 3).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{3,3}.(0.905)^{3}.(0.095)^{0} = 0.7412$

0.7412 = 74.12% probability that all the three orders will be filled correctly.

b. What is the probability that none of the three will be filled correctly?

This is P(X = 0).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{3,0}.(0.905)^{0}.(0.095)^{3} = 0.0009$

0.0009 = 0.09% probability that none of the three will be filled correctly.

c. What is the probability that one of the three will be filled correctly?

This is P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{3,1}.(0.905)^{1}.(0.095)^{2} = 0.0245$

0.0245 = 2.45% probability that at least one of the three will be filled correctly.

d. What is the probability that at least one of the three will be filled correctly?

This is

$P(X \geq 1) = 1 - P(X = 0)$

With what we found in b:

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0009 = 0.9991$

0.9991 = 99.91% probability that at least one of the three will be filled correctly.

e. What is the probability that only your order will be filled correctly?

Yours correctly with 90.5% probability, the other 2 wrong, each with 9.5% probability. So

$p = 0.905*0.095*0.095 = 0.0082$

0.0082 = 0.82% probability that only your order will be filled correctly

7 0

3 years ago

If "z" is a standard normal variable, find the probability that "z" is less than 1.16. Sketch the graph and the required area.

mixer [17]

Answer:

Step-by-step explanation:

It would be more obvious if it says z is a standard Normal variable and that the question is related to statistics.

From "Computing Probabilities Using the Cumulative Table" , the probability of z is less than 1.16, P(z<1.16) = 0.8770.

7 0

2 years ago

what is the common denominator of 1 / a + 1 / B in the complex fraction 1 / a - 1 / B / 1 / 8 + 1 / B

pashok25 [27]

Answer:

Probably ab?

wkdnpeicca

7 0

3 years ago

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100 POINTS If x and y are real numbers, what is the simplified radical form of <img src="https://tex.z-dn.net/?f=%28x%5E%7B2%7D%

nata0808 [166]

Answer: $x^{2/5}$ $y$

Step-by-step explanation:

( $x^{2}$ $y^{5}$ )^ $^{1/5}$

= $x^{2/5}$ $y$

7 0

2 years ago

Read 2 more answers