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3 years ago

5

I need help with solving this problem please!!!

2 answers:

KATRIN_1 [288]3 years ago

7 0

3 is 23 degree
8 is 157 degree

shutvik [7]3 years ago

3 0

Answer:

Angle 3 = 23 degrees Angle 8 = 157 degrees

Step-by-step explanation:

Since Angle 2 and Angle 3 are vertical angles, they have the same value.

As you see for Angle 8, Angle 8 is vertical angles with Angle 5.

Angle 5 corresponds with Angle 1 which is the same value since these lines are parallel.

Angle 1 and Angle 2 added together will have a sum of 180.

So substitute Angle 5 for Angle 1.

Angle 5 + 23 =180

Angle 5 = 157 degrees

And we know Angle 5 = Angle 8

So Angle 8 = 157 degrees.

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20 business cards are placed in a hat, 10 belong to women, 10 belong yo men If 2 cards are drawn at once. what's the probability

erik [133]

Answer:

First choice:

$\large\boxed{\large\boxed{5/19}}$

Explanation:

<em>The probability that the first is a man's card and the second, a woman's card</em> is calculated as the product of both probabilities, taking into account the fact that the second time the number of cards in the hat has changed.

In spite of it is said that the cards are drawn at once, since it is stated a specific order for the cards (first is a man's card and the second, a woman's card) you can model the procedure as if the cards were drawn consecutively, instead of at once.

<u>1. Probability that the first is a man's card</u>

Number of cards in the hat = 20 (the 20 business card)

Number of man's card in the hat: 10

Probability = favorable oucomes / possible outcomes = 10/20 = 1/2.

<u />

<u>2. Probability that the second is a woman's card</u>

Number of cards in the hat = 19 (there is one less card in the hat)

Number of wonan's card in the hat: 10

Probability = favorable oucomes / possible outcomes = 10/19.

<u>3. Probability that the first is a man's card and the second, a woman's card</u>

<u />

(1/2) × (10/19) = 5/19

That is the first choice.

5 0

3 years ago

Read 2 more answers

Enrique and Yolanda collected 500 pieces of candy on Halloween. they gave half of their candy to charity. Yolanda took 180 piece

Ivenika [448]

500 − 250 = 250 pieces left after donation

Yolanda got 180 pieces....then Enrique got 70 pieces

So he got 70 /250 = 7/25 = 28% of the remaining candy

4 0

3 years ago

The average height of women between ages 30-39 is 163.2 cm with a standard deviation of 9.3 cm. Find the probability that a woma

Darina [25.2K]

Answer:

D) 0.6346

Step-by-step explanation:

6 0

3 years ago

Simply the expression 2(6+3n)-4

Ronch [10]

Answer:

8+6n

Step-by-step explanation:

First, distribute the 2 into the parenthesis.

2(6)+2(3n)-4

Then, multiply the numbers.

12+6n-4

Now add(subtract in this case) the common multiples.

12-4= 8

8+6n

Since you can no longer simplify the equation, this is the answer..

8+6n

3 0

4 years ago

The following six independent length measurements were made (in feet) for a line: 736.352, 736.363, 736.375, 736.324, 736.358, a

horrorfan [7]

Answer:

Assuming population data

$\sigma = \sqrt{0.000354}=0.0188$

Assuming sample data

$s = \sqrt{0.000425}=0.0206$

Step-by-step explanation:

For this case we have the following data given:

736.352, 736.363, 736.375, 736.324, 736.358, and 736.383.

The first step in order to calculate the standard deviation is calculate the mean.

Assuming population data

$\mu = \frac{\sum_{i=1}^6 X_i}{6}$

The value for the mean would be:

$\mu = \frac{736.352+736.363+736.375+736.324+736.358+736.383}{6}=736.359$

And the population variance would be given by:

$\sigma^2 = \frac{\sum_{i=1}^6 (x_i-\bar x)}{6}$

And we got $\sigma^2 =0.000354$

And the deviation would be just the square root of the variance:

$\sigma = \sqrt{0.000354}=0.0188$

Assuming sample data

$\bar X = \frac{\sum_{i=1}^6 X_i}{6}$

The value for the mean would be:

$\bar X = \frac{736.352+736.363+736.375+736.324+736.358+736.383}{6}=736.359$

And the population variance would be given by:

$s^2 = \frac{\sum_{i=1}^6 (x_i-\bar x)}{6-1}$

And we got $s^2 =0.000425$

And the deviation would be just the square root of the variance:

$s = \sqrt{0.000425}=0.0206$

6 0

3 years ago