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BaLLatris [955]
3 years ago
7

Kristi finds a shirt for $27.99 at the store.

Mathematics
1 answer:
Natalka [10]3 years ago
7 0

Answer:

Kristi will pay $22.77 for the shirt.

Step-by-step explanation:

First, determine the sales price of the shirt. If the full price is $27.99, a 25% reduction is $7. Subtract the discount from the full price to get a sales price of $20.99 for the shirt.

Next, determine the amount of tax Kristi will pay for the shirt. In her state, the sales tax is 8.5% (0.085). Multiply $20.99 by 0.085 and you will see that the sales tax is $1.78. Add the amount of the tax, $1.78, to the sales price of the shirt, $20.99, and you will get $22.77 as the cost of the shirt after the sales tax is added.

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Kathy distributes jelly beans among her friends. Alia gets 4² fewer beans than kelly who gets 3³ jelly beans. how many jelly bea
grin007 [14]
4^2= 16
3^3= 27
27-16=11 so Alia has 11 jelly beans
3 0
2 years ago
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Y varies jointly as x and z, and y = 32 m, x = 6 m, and z = 8 m. what is the value of y when x = 5 m and z = 12 m?
Fynjy0 [20]
As x = 5 & z=12, 

<span>2/3 = y /(xz) = y/(5*12) </span>

<span>= y/60 </span>

<span>so y / 60 = 2/3 </span>

<span>y = (2*60)/3 </span>

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4 0
3 years ago
1) Given P(A) = 0.3 and P(B) = 0.5, do the following.
Delicious77 [7]

Answer:

1) a) 0.8

b) 0.6

2) a) 0.08

b) 0.14

Step-by-step explanation:

1) Given

P(A) = 0.3 and P(B) = 0.5

Let us learn about a formula:

P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\OR\\P(A\cup B) = P(A) +P(B) -P(A\cap B)

(a) If A and B are mutually exclusive i.e. no common thing in the two events.

In other words:

P(A\ and\ B) = P(A \cap B) = 0

Using above formula:

P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0 = \bold{0.8}

(b)  P(A and B) = 0.2

Using above formula:

P(A\ or\ B) = P(A) +P(B) -P(A\ and\ B)\\\Rightarrow P(A\ or\ B) = 0.3 + 0.5 -0.2 = \bold{0.6}

*************************************

1) Given

P(A) = 0.4 and P(B) = 0.2

Let us learn about a formula:

P(A\ and\ B) = P(B) \times P(A/B)  for dependent events

P(A\ and\ B) = P(A) \times P(B) for independent events.

(a) If A and B are independent events :

Using the above formula for independent events:

P(A\ and\ B) = 0.4 \times 0.2 = \bold{0.08}

(b)  P(A / B) = 0.7

Using above formula:

P(A\ and\ B) = P(B) \times P(A/B) = 0.2 \times 0.7 = \bold{0.14}

6 0
3 years ago
A bag contains 10 marbles. 5 of them are red marbles, 2 blue marbles, and 3 green marbles. You randomly pick a marble out of the
Akimi4 [234]

The probability of randomly picking out a red marble is 50%, or 1/2.

You can figure this out by finding out the percentage of each marble in the bag, and that percentage would be the probability for picking out that colour of marble. For example, the percentage of red marbles in the bag is 50%, the percentage of blue marbles in the bag is 20%, and the percentage of green marbles in the bag is 30%.

By doing this, you figured out not only the percentage of each colour of marble in the bag, but you also figured out the probability of each marble being randomly picked out of the bag.

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Alexxx [7]
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3x/8+8/8=9/8

3x+8=9

3x=1

x=1/3
6 0
3 years ago
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