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2 years ago

In a family with 77 children, excluding multiple births, what is the probability of having exactly 22 girls

Mathematics

1 answer:

Lemur [1.5K]2 years ago

4 0

Answer:

22/77

Step-by-step explanation:

just put the probable amount over the total amount for these

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An employee at a pet shop randomly selects two fishes from a tank where there are 5 guppies, 4 platyfishes, and 3 rasboras. What

siniylev [52]

Answer:

0.6 is the probability

8 0

3 years ago

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The summer has ended and it’s time to drain the swimming pool. 20 minutes after pulling the plug, there is still 45 000L of wate

WITCHER [35]

Answer:

a) -900 L/min

b) 63000 L

c) v = -900t +63000

d) 7200 L

Step-by-step explanation:

a) You are given two points on the curve of volume vs. time:

(t, v) = (20, 45000) and (70, 0)

The rate of change is ...

Δv/Δt = (0 -45000)/(70 -20) = -45000/50 = -900 . . . . liters per minute

b) In the first 20 minutes, the change in volume was ...

(20 min)(-900 L/min) = -18000 L

So, the initial volume was ...

initial volume -18000 = 45000

initial volume = 63,000 . . . . liters

c) Since we have the slope and the intercept, we can write the equation in slope-intercept form:

v = -900t +63000

d) Put the number in the equation and do the arithmetic.

When t=62, the amount remaining is ...

v = -900(62) +63000 = -55800 +63000 = 7200

7200 L remain after 62 minutes.

6 0

3 years ago

What is the inverse of the function 9y - 6 = 3x ?

IgorC [24]

Answer:

Option (2)

Step-by-step explanation:

Given function is,

9y - 6 = 3x

y = $\frac{3x+6}{9}$

To find the inverse of the given function,

1). Substitute x in place of y and y in place of x.

x = $\frac{3y+6}{9}$

2). Now we have to solve this equation for the value of y.

9x = 3y + 6

3y = 9x - 6

y = (3x - 2)

Therefore, inverse of the given function is y = (3x - 2)

Option (2) will be the answer.

8 0

3 years ago

A part-time landscaper made $8996.32 last year. if she claimed herself as an exemption for $3650 and had a $5700 standard deduct

Andrej [43]

Answer:

Step-by-step explanation:

A part-time landscaper made $8996.32 last year.

She claimed herself as an exemption for $3650 and had a $5700 standard deduction

Exemption means not subject to taxation.

Deduction means taking some amount of your income for the year, and not have to pay taxes on it.

So, $8996.32-(3650+5700)$

$=-353.68$

Since Her income is lower than the exemption and the standard deduction.

So, her taxable income last year was $0.

Thus Option D is correct.

7 0

3 years ago

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I'LL GIVE YOU BRAINIEST!<br> 1 1/5 · x/3 = 9/10 solve for x

joja [24]

$\huge\text{Hey there!}$

$\huge\textbf{Equation:}$

$\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\huge\textbf{Solve:}$

$\mathbf{1 \dfrac{1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\mathbf{\rightarrow \dfrac{1\times5+1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\mathbf{\rightarrow \dfrac{5 + 1}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\mathbf{\rightarrow \dfrac{6}{5} \times \dfrac{x}{3} = \dfrac{9}{10}}$

$\huge\textbf{Simplify it:}$

$\mathbf{\rightarrow \dfrac{2}{5}x = \dfrac{9}{10}}$

$\huge\textbf{Multiply \boxed{\bf \dfrac{5}{2}} to both sides:}$

$\mathbf{\rightarrow \dfrac{5}{2}\times \dfrac{2}{5}x = \dfrac{5}{2}\times \dfrac{9}{10}}$

$\huge\textbf{Simplify it:}$

$\mathbf{\rightarrow x = \dfrac{5}{2}\times \dfrac{9}{10}}$

$\mathbf{\rightarrow x = \dfrac{5\times9}{2\times10}}$

$\mathbf{\rightarrow x = \dfrac{45}{20}}$

$\mathbf{\rightarrow x = \dfrac{45\div5}{20\div5}}$

$\mathbf{\rightarrow x = \dfrac{9}{4}}$

$\mathbf{x \approx 2 \dfrac{1}{4}}$

$\huge\textbf{Therefore, your answer should be:}$

$\huge\boxed{\mathsf{x = }\frak{2 \dfrac{1}{4}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~ $\frak{Amphitrite1040:)}$

8 0

1 year ago

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