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Goryan [66]
3 years ago
6

Catherine buys a bag of cookies that contains 8 chocolate chip cookies, 9 peanut butter cookies, 5 sugar cookies and 7 oatmeal c

ookies. What is the probability that Catherine randomly selects a sugar cookie from the bag, eats it, then randomly selects an oatmeal cookie? Express you answer as a reduced fraction.
Mathematics
1 answer:
posledela3 years ago
3 0

Answer:

Step-by-step explanation:

Given: 8 chocolate chip cookies, 9 peanut butter cookies, 5 sugar cookies and 7 oatmeal cookies.

=> Total cookies are: 29

  • The possible outcomes of sugar cookie: C^{1} _{5} = 5 and the total possible outcomes: 25
  • The possible outcomes of oatmeal cookie: C^{1} _{7} = 7 the total possible outcomes 25-1 =24 because Catherine eats it

The probability that Catherine randomly selects a sugar cookie from the bag, eats it, then randomly selects an oatmeal cookie:

P(sugar then oatmeal) = \frac{5}{25} \frac{7}{24} = \frac{7}{120} = 0.058  

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Maya's new home had a purchase price of $325,500. Maya and her husband got a 15-year fixed mortgage for 70% of
WINSTONCH [101]

Answer:

Their monthly payment will be $ 1,303.68.

Step-by-step explanation:

Since Maya's new home had a purchase price of $ 325,500, and Maya and her husband got a 15-year fixed mortgage for 70% of the purchase price, and the interest rate on the loan was 2,990%, to determine what was their monthly payment, the following calculation must be performed:

((325,500 x 0.7) x 1.0299) / (12 x 15) = X

(227,850 x 1.0299) / 180 = X

234,662,715 / 180 = X

1,303.68 = X

Therefore, their monthly payment will be $ 1,303.68.

5 0
3 years ago
The Garden Task
Igoryamba

If the perimeter of the garden is (14x - 32) ft and has a side length of (x + 2) ft:

  • the perimeter = 24 ft
  • the area = 36 sq. ft
  • if the perimeter of the garden is doubled, the perimeter of the new garden = 48 ft
  • if the area of the garden is doubled, the area of the new garden = 72 sq. ft

<em><u>Recall</u></em>:

  • A square has equal side lengths
  • Perimeter of a square = 4(side length)
  • Area of a square = (side $ length)^2

<em><u>Given:</u></em>

Perimeter of square (P) = (14x - 32) $ ft

Side length (s) = (x + 2) $ ft

<em><u>First, let's find the </u></em><em><u>value of x</u></em><em><u> by creating an </u></em><em><u>equation </u></em><em><u>using the </u></em><em><u>perimeter </u></em><em><u>formula:</u></em>

  • Perimeter of a square = 4(side length)

  • Plug in the values

(14x - 32) = 4(x + 2)

  • Solve for x

14x - 32 = 4x + 8\\\\14x - 4x = 32 + 8\\\\10x = 40\\\\x = 4

<em><u>Find how much fencing would be needed (</u></em><em><u>Perimeter </u></em><em><u>of the fence):</u></em>

  • Perimeter of the fence = (14x - 32) $ ft

  • Plug in the value of x

Perimeter of the fence = 14(4) - 32 = 24 $ ft

<em><u>Find the </u></em><em><u>area </u></em><em><u>of the garden:</u></em>

  • Area of the garden = (side $ length)^2

Area = (x + 2)^2

  • Plug in the value of x

Area = (4 + 2)^2 = 6^2 = 36 $ ft^2

<u><em>Find the </em></u><u><em>perimeter </em></u><u><em>if the garden size is doubled:</em></u>

  • Perimeter of the new garden = 2 x 24 = 48 ft

<em><u>Find the </u></em><em><u>area </u></em><em><u>if the garden size is doubled:</u></em>

  • Perimeter of the new garden = 2 x 36 = 72 sq. ft

In summary, if the perimeter of the garden is (14x - 32) ft and has a side length of (x + 2) ft:

  • the perimeter = 24 ft
  • the area = 36 sq. ft
  • if the perimeter of the garden is doubled, the perimeter of the new garden = 48 ft
  • if the area of the garden is doubled, the area of the new garden = 72 sq. ft

Learn more here:

brainly.com/question/13511952

4 0
2 years ago
Help !! 10 points!! :)
Zolol [24]

Answer:

line f

Step-by-step explanation:

6 0
3 years ago
the distance between New York City and Boston is 189.9 miles as the crow flies. How far is it in Kilometers
Andre45 [30]
189.9 miles= 305.614
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4 0
3 years ago
Read 2 more answers
What’s 15x - 25 + 2 = 22 (with steps)
cupoosta [38]

Answer: x= 3

Step-by-step explanation:

15x-25+2=22

15x-25=25

15x=50

x=3.333333

x=3

6 0
2 years ago
Read 2 more answers
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