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Reika [66]
3 years ago
15

A polling organization took a random sample of 2,500 single parents to determine how many single parents have two jobs. Suppose

38% of all single parents have two jobs. If the total population of single parents is 12 million, is the 10% condition met? Justify your answer.
Mathematics
1 answer:
vagabundo [1.1K]3 years ago
4 0

Answer:

Yes it is below 10% of the population

Step-by-step explanation:

10% of 12 million is 1,200,00

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Prove ΔPAB is isosceles.
Licemer1 [7]

Answer:

See explanation

Step-by-step explanation:

If PX\cong PY, then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so

\angle 1\cong \angle 2

and

m\angle 1=m\angle 2

Angles 1 and 3 are supplementary, so

m\angle 3=180^{\circ}-m\angle 1

Angles 2 and 4 are supplementary, so

m\angle 4=180^{\circ}-m\angle 2

By substitution property,

m\angle 4=180^{\circ}-m\angle 2=180^{\circ}-m\angle 1=m\angle 3

Hence,

\angle 3\cong \angle 4

Consider triangles APX and BPY. In these triangles:

  • PX\cong PY - given;
  • \angle 5\cong \angle 6 - given;
  • \angle 3\cong \angle 4 - proven,

so \triangle APX\cong \triangle BPY by ASA postulate.

Congruent triangles have congruent corresponding sides, then

AP\cong BP

Therefore, triangle APB is isosceles triangle (by definition).

6 0
3 years ago
On the first day, Maria and Emily make flowers together for 1 hour and 25 minutes. In the time it takes Emily to make 2 paper fl
qwelly [4]
Okay, this is a proportion question. they make 45 flowers every 1 hour and 25 minutes, or 45/85(85 is equivalent to 1 hour and 25 minutes). and they made 100 flowers at the same rate as the first day. so you need to know how long it took them to make 100 flowers, if they make 45 every 85 minutes. so 45 (flowers) to 85 (minutes) = 100 (flowers) to x (minutes). or 45/85=100/x. so when you work that out, I came to 189 minutes, which is 3 hours and 9 minutes, so they stopped at 4:24. But you could round and get 4:25. Hope I didn't confuse you!


8 0
3 years ago
Mike's Music charges $45 per hour. Tim's Tunes
klemol [59]

Answer:

Answer 4. (5 1/3 hours)

Step-by-step explanation:

240/45=5.333333333

5 0
2 years ago
Read 2 more answers
PLS HELP WILL MARK BRAINLIEST
ahrayia [7]
9(2j+7+5j) Foil this out to get 18j+7+45j then 63j+7

Answer: 18j+7+45j , 63j+7 I think
8 0
2 years ago
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The translation shown in the graph moves the figure to the right. What kind of translation is shown? ​
bulgar [2K]

Answer:

Horizontal

Step-by-step explanation:

8 0
2 years ago
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