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lara31 [8.8K]
3 years ago
8

Suppose you are choosing between two checking accounts. One account charges you $1.50 ATM

Mathematics
1 answer:
valentinak56 [21]3 years ago
4 0

Answer:

10

Step-by-step explanation:

$15.00 / $1.50 = 10

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Fun park charges an entry fee of $2 for any family with less than 5 members. The park charges $3 less than the number of family
RideAnS [48]

A piecewise function is a function that behaves differently in different intervals.

Here the piecewise function is:

f(x) = $2     if    x < 5  

f(x) = x - $3  if   x ≥ 5

We know that:

"Fun park charges an entry fee of $2 for any family with less than 5 members."

"The park charges $3 less than the number of family members for the entry of any family with 5 or more members."

If we define x as the number of members of a family, the function of the price will be:

f(x) = $2     if    x < 5 (the cost is $2 if the family has less than members)

f(x) = x - $3  if   x ≥ 5   (the cost if the family has 5 members or more)

If you want to learn more, you can read:

brainly.com/question/12561612

3 0
3 years ago
The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of 20. Each d
liberstina [14]

Answer: 0.0516

Step-by-step explanation:

Given : The number of defective components produced by a certain process in one day has a Poisson distribution with a mean of \lambda=20.

The probability mass function for Poisson distribution:-P(X=x)=\dfrac{e^{-\lambda}\lambda^x}{x!}

For x= 15 and  \lambda=20 , we have

P(X=x)=\dfrac{e^{-20}(20)^{15}}{15!}=0.0516488535318\approx0.0516

Hence, the probability that exactly 15 defective components are produced in a particular day = 0.0516

7 0
3 years ago
Suppose that a department contains 10 men and 12 women. How many ways are there to form a committee with six members if it must
Readme [11.4K]

Answer:

The number of ways is 26,400 ways

Step-by-step explanation:

Given;

total number of men, M = 10

total number of women, W = 12

number of committees to be formed = 6

If there must be equal gender, then it must consist of 3 men and 3 women.

The \ number \ of \ ways = 10C_3 \times 12C_3\\\\The \ number \ of \ ways =\frac{10!}{3!7!} \times \frac{12!}{3!9!} \\\\T he \ number \ of \ ways  = 120 \times 220 = 26,400 \ ways

Therefore, the number of ways is 26,400 ways

8 0
3 years ago
What’s the answer to
Roman55 [17]

Hint: the sum of the angles is equal to 180 in a triangle. could you make an equation to use that?

3x+13, 7x+2, and 75 are the three angle values. They will sum up to 180.

Steps:

We set the equation to:

3x+13+7x+2+75=180

We can combine some terms

10x+90=180

Then, we isolate x

10x=90

And we divide by 10

x=9

Great! but we are not done yet. We want the measure of angle A, so we need to plug x back into the equation for angle a

3(9)+13

Multiply

27+13

Add

40

8 0
2 years ago
Translate the phrase into an algebraic expression.
adell [148]

Answer:

8 + \frac{5}{w}

Step-by-step explanation:

From the phrase, the <em>answer</em> is smaller(less) by 8  when compared(equal (=)) to quotient of 5 and w ...

So:

Answer - 8 = quotient of 5 and w

Here, quotient is the whole number from a <em>division</em>. The division here is \frac{5}{w}

Therefore,

Answer - 8 = \frac{5}{w}

Answer = 8 + \frac{5}{w}

Hence the phrase into algebraic expression is 8 + \frac{5}{w}

4 0
3 years ago
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