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hjlf
3 years ago
12

A cable television provider offers six

Mathematics
1 answer:
lubasha [3.4K]3 years ago
7 0

Answer:

24 stations

Step-by-step explanation:

we know that

six stations represent 25% of the stations offered

so

using a proportion

Find out how many stations represent a percentage of 100%

\frac{6}{25\%}=\frac{x}{100\%}\\\\x=6(100)/25\\\\x=24\ stations

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A baker is using a cookie that calls for 2 1/4 cups of flour to yield 36 cookies, how much flour will the baker neeto to make 90
andre [41]

Answer:

5 \frac{5}{8} cups

Step-by-step explanation:

Given: A baker is using a cookie that calls for 2 \frac{1}{4} cups of flour to yield 36 cookies.

To find the number of flour will the baker need to make 90 cookies, we form a proportion.

Let's convert 2 \frac{1}{4} to improper fraction.

2\frac{1}{4} = \frac{(2*4) + 1}{4} = \frac{9}{4}

Let "x" be the amount flour to make 90 cookies

<u>Amount of Flour</u>                 <u>Number of cookies</u>

 \frac{9}{4}                               36

       x                                            90

Now form a proportion.

\frac{\frac{9}{4}}{x} = \frac{36}{90}

Now let's cross multiply, we get

\frac{9}{4} *90 = 36x\\\

\frac{810}{4} = 36x\\x = \frac{810 }{4*36} \\x = \frac{810}{144} \\\\x = 5 \frac{90}{144}

Now let's simplify the fraction part, Here the GCF of 90 and 144 is 18, so dividing the fraction's numerator and the denominator by 18, we get

x = 5 \frac{5}{8} cups

So the baker needs 5 \frac{5}{8} cups to make 90 cookies.

3 0
3 years ago
An exponential function f(x)=a⋅bx passes through the points (0, 4) and (2, 64). What are the values of a and b?
Flura [38]

Answer:

a=b=4

Step-by-step explanation:

f(x) = a\cdot b^x\\f(0) = a = 4\\f(2) = 4b^{2} = 64 \rightarrow b = 4\\ f(x) = 4 \cdot 4^x

3 0
4 years ago
In a company, 37% of the 1500 employees are females.
musickatia [10]
The answer fam is....in a company 37% of the 1500 employees are females. work out the number of males in the company

 

100-37 = 63

 

63% are male

 

63/100*1500 = 945 are male?

7 0
4 years ago
. <br> Simplify by using the Distributive Property<br> 4(4f-2g)
Bad White [126]

Answer:

the answer is 16f-8g

6 0
3 years ago
Read 2 more answers
Suppose that a basketball player different from the
Volgvan

Answer:

a. Mean = 6

Variance = 2.4

Standard Deviation = 1.55

b. P(X=16) = 0.124

Step-by-step explanation:

Given

n = Total shots = 10

p = Probability of success = 60%

p = 60/100

p= 0.6

q = Probability of failure

q = 1-p

q = 1 - 0.6

q = 0.4

a.

Mean = np

Mean = 10 * 0.6

Mean = 6

Variance = npq

Variance = 10 * 0.6 * 0.4

Variance = 2.4

Standard Deviation = √Variance

Standard Deviation = √2.4

Standard Deviation = 1.549193338482966

Standard Deviation = 1.55 --------- approximated

b.

We have X = 16

x = 10

Assume that the events "success" on the various throws are independent.

The 10th success came on the 16th attempt

So, the player had exactly 10 successes and 6 failures on 16th trial

So Probability = nCr 0.6^10 * 0.4^6

Where n = 15 and r = 9 (number of attempts and success before the 16th trial)

15C9 * 0.6^10 * 0.4^6

= 5005 * 0.0060466176 * 0.004096

= 0.123958563176448

= 0.124 ------ Approximated

6 0
3 years ago
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