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2 years ago

8

There are 4 boys and 2 girls from the 7th grade and 3 boys and 5 girls from the 8th grade on the soccer team. The coach will pic

k one captain from each grade. What is the probability that he will pick a boy from the 7th grade and a girl from the 8th grade?

1 answer:

kaheart [24]2 years ago

5 0

Answer:

5/12

Step-by-step explanation:

P(b,7) = 4/6

P(g,8) = 5/8

4/6 x 5/8 = 20/48 (or 5/12 reduced)

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Solve for x <br> x-31=-90<br><br> show how you got the answer

Vinil7 [7]

Answer:

x= -59

Step-by-step explanation:

x-31=-90

Adding 31 to both sides we get

x-31+31=-90+31

x=-59

4 0

3 years ago

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What is the fourth term in the binomial expansion (a+b)^6)

Dafna11 [192]

Answer:

$20a^3b^3$

Step-by-step explanation:

<u>Binomial Series</u>

$(a+b)^n=a^n+\dfrac{n!}{1!(n-1)!}a^{n-1}b+\dfrac{n!}{2!(n-2)!}a^{n-2}b^2+...+\dfrac{n!}{r!(n-r)!}a^{n-r}b^r+...+b^n$

<u>Factorial</u> is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.

Example: 4! = 4 × 3 × 2 × 1

Therefore, the fourth term in the binomial expansion (a + b)⁶ is:

$\implies \dfrac{n!}{3!(n-3)!}a^{n-3}b^3$

$\implies \dfrac{6!}{3!(6-3)!}a^{6-3}b^3$

$\implies \dfrac{6!}{3!3!}a^{3}b^3$

$\implies \left(\dfrac{6 \times 5 \times 4 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}{3 \times 2 \times 1 \times \diagup\!\!\!\!3 \times \diagup\!\!\!\!2 \times \diagup\!\!\!\!1}\right)a^{3}b^3$

$\implies \left(\dfrac{120}{6}\right)a^{3}b^3$

$\implies 20a^3b^3$

7 0

1 year ago

Draw a rhombus that is not a square. Label the lengths of its sides and its height so it represents a rhombus with an area of 20

Tcecarenko [31]

Answer:

/\

$\sqrt{20}$ / \ $\sqrt{20}$

/ \

\ /

$\sqrt{20}$ \ / $\sqrt{20}$

\/

Step-by-step explanation:

i hope this is right it took me 30 min for the ascii

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2 years ago

Jacob buys 4 muffins for $5.00 how much are 7 muffins

Temka [501]

The answer is $8.75. You have to find what one costs which is 1.25 so if you have 7. 1.25 times 7 is $8.75

6 0

3 years ago

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A small diner has one employee and a counter with seating for 8 customers. The diner does not package food for takeout. Customer

marissa [1.9K]

Answer:

12 customers are waiting each hour to enter the diner

Step-by-step explanation:

20 customers arrive each hour to the diner. 8 customers ocuppy the seats each hour, and 12 are left waiting outside.

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2 years ago