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3 years ago

9

Alice owns a monthly salary of $315 plus a commission on her total sales last month or total sales were $9640 and she earned a t

otal of $1082.60 what is her commission rate

1 answer:

miskamm [114]3 years ago

6 0

It's $1082.60•9640 which equals 1'"0=*000.

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A standard deck of cards contains 52 cards. One card is selected from the deck.(a)Compute the probability of randomly selecting

Aneli [31]

a. There are four 5s that can be drawn, and $\binom43=4$ ways of drawing any three of them. There are $\binom{52}3=22,100$ ways of drawing any three cards from the deck. So the probability of drawing three 5s is

$\dfrac{\binom43}{\binom{52}3}=\dfrac4{22,100}=\dfrac1{5525}\approx0.00018$

In case you're asked about the probability of drawing a 3 or a 5 (and NOT three 5s), then there are 8 possible cards (four each of 3 and 5) that interest you, with a probability of $\frac8{52}=\frac2{13}\approx0.15$ of getting drawn.

b. Similar to the second case considered in part (a), there are now 12 cards of interest with a probability $\frac{12}{52}=\frac3{13}\approx0.23$ of being drawn.

c. There are four 6s in the deck, and thirteen diamonds, one of which is a 6. That makes 4 + 13 - 1 = 16 cards of interest (subtract 1 because the 6 of diamonds is being double counted by the 4 and 13), hence a probability of $\frac{16}{52}=\frac4{13}\approx0.31$ .

- - -

Note: $\binom nk$ is the binomial coefficient,

$\dbinom nk=\dfrac{n!}{k!(n-k)!}={}_nC_k=C(n,k)=n\text{ choose }k$

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3 years ago

What point divides directed line segment

Goshia [24]

(22.5,30) it's the ratio

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3 years ago

Rewrite the expression with rational exponents as a radical expression.

nexus9112 [7]

Answer:

If the expression is $4x^\frac{3}{7}$ , then the answer is the first option.

If the expression is $(4x)^\frac{3}{7}$ , then the answer is the third option.

Step-by-step explanation:

Remember that when you have a radical expression in the form $\sqrt[n]{x}$ , you can rewrite as:

$=x^\frac{1}{n}$

Then:

- If the expression is $4x^\frac{3}{7}$ , then you can rewrite it in the following radical form:

$=4\sqrt[7]{x^3}$ (This form matches with the first option.)

- If the expression is $(4x)^\frac{3}{7}$ , then you can rewrite it in the following radical form:

$=\sqrt[7]{(4x)^3}$ (This form matches with the third option).

7 0

3 years ago

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Dan has bags of candy with two pieces in each. Bill has bags of candy with five pieces in each. Bill has six more bags than Dan.

Anna35 [415]

<u>Answer:</u>

Bill has bags of candy with five pieces in each. The Bill has 16 bags

<u>Solution:</u>

Given, Dan has bags of candy with two pieces in each.

Bill has bags of candy with five pieces in each.

Bill has six more bags than Dan.

Then, number of bags with bill = 6 + number of bags with dan.

The total number of pieces candy the two boys have 100.

Now, candies with bill + candies with dan = 100

⇒ 5 pieces per bag x number of bags with bill + 2 pieces per bag x number of bags with dan = 100

⇒ 5 x (6 + number of bags with dan) + 2 x number of bags with dan = 100

⇒ 30 + 5 x number of bags with dan + 2 x number of bags with dan = 100

⇒ (5 + 2) x number of bags with dan = 100 – 30

⇒ 7 x number of bags with dan = 70

⇒ Number of bags with dan = 10

So, number of bags with bill = 6 + 10 = 16

Hence, bill has 16 bags.

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3 years ago

-36 as a fraction in simplest form

Cerrena [4.2K]

Answer:

-1/2

Step-by-step explanation:

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3 years ago

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