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VashaNatasha [74]
3 years ago
12

Sophia uses 334 cups of flour for each cake she makes. She has a 10-pound bag of flour that costs $8.79 and contains 152 quarter

-cup servings. How much does the flour for one cake cost?
Mathematics
1 answer:
podryga [215]3 years ago
6 0

Answer:

4.49

Step-by-step explanation:

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R+20x is the solution
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3 years ago
A new curved screen TV costs $3,508.80. A family makes a down payment of $450 and pays off the balance in 24 equal monthly payme
77julia77 [94]

Answer:

$127.45

Step-by-step explanation:

First, subtract 450 from 3,508.80:

3,508.80 - 450 = 3058.8

Then, divide this by 24 to find the monthly payment:

3058.8/24

= 127.45

So, the monthly payment was $127.45

5 0
3 years ago
The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (according to GolfWeek). Assume th
Usimov [2.4K]

Answer:

a) f(x) = \frac{1}{25.9}

b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

The probability density function of the uniform distribution is:

f(x) = \frac{1}{b-a}

The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.

This means that a = 284.7, b = 310.6.

a. Give a mathematical expression for the probability density function of driving distance.

f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}

b. What is the probability the driving distance for one of these golfers is less than 290 yards?

P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046

0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards

3 0
3 years ago
There are 9 students in the school choir. The ratio of girls to boys in the choir is 5 : 4. Two girls are absent from practice o
pishuonlain [190]

Answer:

5:9

Step-by-step explanation:

4 0
3 years ago
Brice wants to build a table and put a border around it. The table and border must have an area of 3,006 square inches. The tabl
SVEN [57.7K]
B is the correct answer.

We are adding the border of x thickness to all 4 sides of the table.  This makes the new width of the table 36+x+x = 36+2x and the new length of the table 72+x+x=72+2x.  To find the area, we multiply the length and width:

(36+2x)(72+2x) = 3006

Multiplying the binomials, we get:
36*72 + 36*2x + 2x*72 + 2x*2x = 3006
2592 + 72x + 144x + 4x² = 3006

Combining like terms gets us
2592 + 216x + 4x² = 3006

Subtract 3006 from both sides:
2592 + 216x + 4x² - 3006 = 3006 - 3006
-414 + 216x + 4x² = 0

Writing in standard form we have
4x²+216x-414=0
8 0
3 years ago
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