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3 years ago

-4(-6 + 4b) simplified

Mathematics

1 answer:

WITCHER [35]3 years ago

3 0

It is 24+6b im writing more because it says to put more cause my answer is to "short"

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Will mark the Brainliest !!!!! A team of 5 boys and 4 girls will be chosen from a group of 16 boys and 13 girls,

vfiekz [6]

Answer:

Step-by-step explanation:

The total number of permutations of boys and girls on the team are:

¹⁶P₅*¹³P₄

Bob will be one of the fixed boys to be picked. Hence, actually 4 boys are to be picked from 15. The permutations of girls being picked remains the same.

Probability = Permutations with Bob as one of the boys / Total permutations

Probability = (¹⁵P₄*¹³P₄) / (¹⁶P₅*¹³P₄) = ¹⁵P₄ / ¹⁶P₅

Probability = $\frac{15!}{(15-4)!}/\frac{16!}{(16-5)!}$ = 15! / 16! = 1/16

Now, Bob is one of the fixed boys and Jane is one of the fixed girls. Hence, actually 4 boys are to be picked from 15 and 3 girls are to be picked from 12.

Probability = Permutations with bob as one of the boys and jane as one of the girls / Total permutations

Probability = (¹⁵P₄*¹²P₃) / (¹⁶P₅*¹³P₄) = (1/16)*(1/13) = 1/208

Now, the probability that at least Jane or Bob will be picked has been asked. This probability is a combination of three probabilities:

Probability = (Probability that only Bob will be picked) + (Probability that only Jane will be picked) + (Probability that both will be picked)

Probability = 1/16 + 1/13 + 1/208 = 0.123

Total teams possible = ¹⁶P₅*¹³P₄ = 8994585600 teams are possible

5 0

3 years ago

Hypotenuse Math. 15 Points.

Rina8888 [55]

Using the Pythagorean theorem:

a^2 + b^2 = c^2

A and B are the sides and c is the hypotenuse.

4^2 + 5^2 = c^2

Simplify:

16+25 = c^2

41 = c^2

Take the square root of both sides:

c=√41

4 0

3 years ago

Read 2 more answers

1. Which function represents exponential decay?

MatroZZZ [7]

Answer:

y= 7^-t

Step-by-step explanation:

Equation for exponential decay:

An equation represents exponential decay if a term between 0 and 1 is elevated to the independent variable.

In this question:

First option 4 is elevated, so not exponential decay.

Second option:

$7^{-t} = \frac{1}{7^t} = (\frac{1}{7})^{t}$

$0 < \frac{1}{7} < 1$ , thus, the second option represents exponential decay.

7 0

3 years ago

Auto-Check Motors charged Mr. Jones $84.00 for an automotive part plus $68.00 per hour that a mechanic worked to install the par

avanturin [10]

You're going to want to take the total, which is $353.00 and subtract the initial cost, which is $84.00, the number now should be $269. Using that total divide it by $68.00, there you should find your answer of about 4 hours. The precise answer is 3.99588235. But you would round that to 4 hours.

5 0

3 years ago

∆ABC ~ ∆DEF. If ∠A=35° and ∠E=55°, what is the measure of ∠C?

madam [21]

Answer:

90°

Step-by-step explanation:

ABC ~ DEF so that means E = B. A triangle has to add up to 180° so that means 180-35-55=90

7 0

3 years ago