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Maksim231197 [3]
2 years ago
12

ANSWER QUICKLY PLZZZZZZ ASAP READ QUESTIONS CAREFULLY ​

Mathematics
1 answer:
irinina [24]2 years ago
6 0
The correct answer should be 165 times 10 to the power of three (10^3)
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Questions (no partial grades if you don't show your work) 1. In a group of 6 boys and 4 girls, four children are to be selected.
mariarad [96]

Answer:

Total number of ways will be 209

Step-by-step explanation:

There are 6 boys and 4 girls in a group and 4 children are to be selected.

We have to find the number of ways that 4 children can be selected if at least one boy must be in the group of 4.

So the groups can be arranged as

(1 Boy + 3 girls), (2 Boy + 2 girls), (3 Boys + 1 girl), (4 boys)

Now we will find the combinations in which these arrangements can be done.

1 Boy and 3 girls = ^{6}C_{1}\times^{4}C_{3}=6\times4=24

2 Boy and 2 girls=^{6}C_{2}\times^{4}C_{2}=\frac{6!}{4!\times2!}\times\frac{4!}{2!\times2!}=15\times6=90

3 Boys and 1 girl = ^{6}C_{3}\times^{4}C_{1}=\frac{6!}{4!\times2!}\times\frac{4!}{3!}=\frac{6\times5\times4}{3 \times2} \times4=80

4 Boys = ^{6}C_{4}=\frac{6!}{4!\times2!} =\frac{6\times 5}{2\times1}=15

Now total number of ways = 24 + 90 + 80 + 15 = 209

7 0
3 years ago
Last season, your
Katarina [22]

Answer:

55%

Step-by-step explanation:

The percent change formula is written like this:

|\frac{change - original }{original}|. In this scenario, the "change" or new value is 31, because it is this season, and the original is last season. Now, 31-20 = 11, and 11/20 = 55%.

7 0
3 years ago
HELP I NEED HELP ASAP
Phantasy [73]
I think the answer is 2.5
8 0
2 years ago
Examine the graph at the right. Then, in a sentence or two, suggest reasons why the graph rises at 11:00 a.m. and then drops at
Crazy boy [7]

(I would recommend changing the wording a bit.)

At 11 am Lacy get's paid around 50 dollars for something such as work. The money sits in her purse until 1:15pm when she pays for something such as food.

3 0
3 years ago
I don’t understand what this question is asking for
Elden [556K]

Answer:

  (d)  m∠AEB = m∠ADB

Step-by-step explanation:

The question is asking you to compare the measures of two inscribed angles. Each of the inscribed angles intercepts the circle at points A and B, which are the endpoints of a diameter.

__

<h3>applicable relations</h3>

Several relations are involved here.

  • The measures of the arcs of a circle total 360°
  • A diameter cuts a circle into two congruent semicircles
  • The measure of an inscribed angle is half the measure of the arc it intercepts
<h3>application</h3>

In the attached diagram, we have shown inscribed angle ADB in blue. The semicircular arc it intercepts is also shown in blue. A semicircle is half a circle, so its arc measure is half of 360°. Arc AEB is 180°. That means inscribed angle ADB measures half of 180°, or 90°. (It is shown as a right angle on the diagram.)

If Brenda draws angle AEB, it would look like the angle shown in red on the diagram. It intercepts semicircular arc ADB, which has a measure of 180°. So, angle AEB will be half that, or 180°/2 = 90°.

The question is asking you to recognize that ∠ADB = 90° and ∠AEB = 90° have the same measure.

  m∠AEB = m∠ADB

_____

<em>Additional comment</em>

Every angle inscribed in a semicircle is a right angle. The center of the semicircle is the midpoint of the hypotenuse of the right triangle. This fact turns out to be useful in many ways.

7 0
2 years ago
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