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marshall27 [118]
3 years ago
11

Please Help! Given parallelogram ABCD with the measures shown, what is the Measure of 5?

Mathematics
1 answer:
Scilla [17]3 years ago
5 0

Answer:

m\angle 5=76\degree.

Step-by-step explanation:

In the given parallelogram, line AC is a transversal.

Using the alternate interior angles theorem,

m\angle 5=76\degree.

You can observe this by tracing a Z-pattern.

You will then observe that m<5 and the 76\degree angles are alternate interior angles.

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Assume the hold time of callers to a cable company is normally distributed with a mean of 5.5 minutes and a standard deviation o
Ierofanga [76]

Answer:

The percent of callers are 37.21 who are on hold.

Step-by-step explanation:

Given:

A normally distributed data.

Mean of the data, \mu = 5.5 mins

Standard deviation, \sigma = 0.4 mins

We have to find the callers percentage who are on hold between 5.4 and 5.8 mins.

Lets find z-score on each raw score.

⇒ z_1=\frac{x_1-\mu}{\sigma}   ...raw score,x_1 = 5.4

⇒ Plugging the values.

⇒ z_1=\frac{5.4-5.5}{0.4}

⇒ z_1=-0.25  

For raw score 5.5 the z score is.

⇒ z_2=\frac{5.8-5.5}{0.4}  

⇒ z_2=0.75

Now we have to look upon the values from Z score table and arrange them in probability terms then convert it into percentages.

We have to work with P(5.4<z<5.8).

⇒ P(5.4

⇒ P(-0.25

⇒ P(z

⇒ z(1.5)=0.7734 and z(-0.25)=0.4013.<em>..from z -score table.</em>

⇒ 0.7734-0.4013

⇒ 0.3721

To find the percentage we have to multiply with 100.

⇒ 0.3721\times 100

⇒ 37.21 %

The percent of callers who are on hold between 5.4 minutes to 5.8 minutes is 37.21

4 0
3 years ago
3/7 of the people living in the apartment building are men. 5/8 of the remaining are women. The rest are children. A total of 27
Vladimir [108]
People in building ---- x (men, women and children)
children --- y
men + women + children = x
(3/7)x + (5/8)(4/7)x + y = x
3x/7 + 5x/14 + y = x
times 14
6x + 5x + 14y = 14x
14y = 3x

y + 220 =x
sub into the other one
14y = 3(y+220)
11y = 660
y = 60
then 14(60) = 3x ---> x = 280

So we have 280 people in the building.

check: 3/7 of 280 are men = 120
leaving 160 women and children
5/8 of these ot 100 are women

so we have 120 men, 100 women and 60 children!

hope this is right! have a great. day
7 0
3 years ago
During the grand opening of an electronics store, any customer has an 11% chance of winning a free laptop. What is the chance th
timama [110]
To get the answer you would subtract 11% from 100%, getting the answer 89%.
7 0
3 years ago
Read 2 more answers
What is the domain of the ordered pairs?
BigorU [14]

Answer:

b.  {-3, -1, 2}

Step-by-step explanation:

An <u>ordered pair</u> is a pair of elements written as (x, y) where the first element is the input value and the second element is the output value.

The <u>domain</u> is the set of input values (x-values)

The <u>range</u> is the set of output values (y-values)

Therefore, for the given ordered pairs (-1, 0), (2, 4) and (-3, 6)

Domain:  {-3, -1, 2}

Range:  {0, 4, 6}

3 0
2 years ago
1,000,000,000 divided by 167?
tester [92]
Tge answer is 598,802.395 because if you put it into tge calculator you should get this answer
4 0
3 years ago
Read 2 more answers
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