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likoan [24]
3 years ago
13

Can u help me with this

Mathematics
1 answer:
Elena-2011 [213]3 years ago
3 0
54 are left for your questiom
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If side AB is parallel to side DC, how are side A'B' and side D'C' related? Explain.
anastassius [24]
Side A’B’ and D’C’ are related because they are both parallel which I think means that they would be the same length
7 0
3 years ago
Joe borrowed $5,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 7 years?
yaroslaw [1]

Answer:

$2450

Step-by-step explanation:

7% of 5000 is 350 which means that she would be paying $350 a year and so if you multiply the amount she pays a year ($350) you would get $2450.

I hope this helps.

5 0
3 years ago
Read 2 more answers
Describe the solution set of compound inequality x&gt;2 or x&lt;7.<br> Please help ❣️<br> o(^o^)o
olganol [36]

If is

x > 2 or x < 7 ⇒ x is any real number

If is

x > 2 and x < 7 ⇒ 2 < x < 7

A set of all numbers that are greater than 2 and less than 7.

Look at the picture.

6 0
3 years ago
What does it mean by type of angles and relationship between the angles if the line are parallel ?
valkas [14]

Where two lines cross, four (4) angles are formed. Two adjacent angles that share a vertex can be called a "linear pair." Two non-adjacent angles that have the same vertex and the same lines for sides, are called "vertical angles."

Where a transversal crosses two parallel lines, eight (8) angles are formed, four (4) at each intersection. In addition to the above angle types, there are other relationships that can be described.

Angles can be called <em>corresponding</em>, if they are in the same location relative to the intersection point (both on the north-east corner, for example). Angles are <em>interior</em> if they are between the parallel lines; <em>exterior</em> of they are not. They get the additional descriptor of <em>opposite</em>, if they are on opposite sides of the transversal.

If the angles are not opposite, and share a side but not a vertex, they can be called <em>adjacent</em>. (Only <em>interior</em> angles can be adjacent, one pair on either side of the transversal.)

_____

With the above definitions in mind, several <u>relationships</u> arise where a transversal crosses parallel lines. (<u>Types</u> of angles are <em>italicized</em>.) Two examples of each type are listed by angle numbers. Angles 1 and 2 are a linear pair, for example.

Angles of a <em>linear pair</em> are supplementary. (1, 2), (5, 7)

<em>Vertical</em> angles are congruent. (1, 4), (6, 7)

<em>Adjacent</em> angles are supplementary. (3, 5), (4, 6)

<em>Corresponding</em> angles are congruent. (1, 5), (4, 8)

<em>Opposite interior</em> angles are congruent. (3, 6), (4, 5)

<em>Opposite exterior</em> angles are congruent. (1, 8), (2, 7)

6 0
3 years ago
A nationwide census is conducted and it is found that the mean number of hours of television watched per year by Americans is 35
Ber [7]

Answer:

Probability that a group of 4 Americans watch more than 400 hours of television per year is 0.3264.

Step-by-step explanation:

We are given that a nationwide census is conducted and it is found that the mean number of hours of television watched per year by Americans is 350 with a standard deviation of 220.

A group of 4 Americans is selected.

Let \bar X = <u><em>sample mean number of hours of television watched per year</em></u>

The z score probability distribution for sample mean  is given by;

                             Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean = 350

            \sigma = standard deviation = 220

            n = sample of Americans = 4

Now, the probability that a group of 4 Americans watch more than 400 hours of television per year is given by = P(\bar X > 400 hours)

     

     P(\bar X > 400) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{400-350}{\frac{220}{\sqrt{4} } } ) = P(Z > 0.45) = 1 - P(Z \leq 0.45)

                                                        = 1 - 0.6736 = <u>0.3264</u>

The above probability is calculated by looking at the value of x = 0.45 in the z table which has an area of 0.6736.

Hence, the probability that a group of 4 Americans watch more than 400 hours of television per year is 0.3264.

6 0
3 years ago
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