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dlinn [17]
4 years ago
5

Mrs. Lowndes was building a play house for her grandson.

Mathematics
1 answer:
Vedmedyk [2.9K]4 years ago
8 0

Answer:

21.25ft

Step-by-step explanation:

To solve for this, all you need to do is find a ratio proportional to the given. The given shows the following ratios:

\dfrac{2in}{5ft}=\dfrac{8.5in}{x}

All you need to do is solve for x. You can do this by first cross multiplying:

\dfrac{2in}{5ft}=\dfrac{8.5in}{x}\\\\2in(x)=8.5in(5ft)\\\\2xin=42.5in/ft\\\\Divide\;both\;sides\;by\;2in\\\\\dfrac{2xin}{2in}=\dfrac{42.5in.ft}{2in}\\\\x=21.25ft

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Survey data indicate that 42% of customers at Mega Hit video rental stores subscribe to premium movie channels through their cab
omeli [17]

Answer:

P=0.17

Step-by-step explanation:

If A and B are dependent events, then we have a Rule of Addition:

P(A\cup B)=P(A)+P(B)-P(A\cap B)

Let A represent event that customer at Mega Hit is subscribed to premium movie channels while B represent event that customer at Mega Hit owns a DVD, so, we get the following:

P(A)=0.42\\P(B)=0.31\\P(A \cup B)=0.56\\\\

We need to find P(A \cap B) or probability that a randomly selected Mega Hit customer both owns a DVD and subscribes to a premium movie channels.

Using Rule of Addition, we get:

0.56=0.42+0.31-P(A \cap B)\\\\0.56=0.73-P(A\cap B)\\P(A\cap B)=0.73-0.56\\P(A\cap B)=0.17

So, the required probability is 0.17.

7 0
3 years ago
For babysitting, Nicole charges a flat fee of $3, plus $5 per hour. Write an equation for the
Luda [366]
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6 0
3 years ago
What is the value of x?
Sauron [17]

Answer:

85°

Step-by-step explanation:

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Also recall that all interior angles of a triangle add up to 180°

Hence,

180° =  ∠JKL + ∠JLK + ∠KJL

180 =  x + x + 10

180 = 2x + 10  (subtract 10 from both sides and rearrange)

2x = 180 - 10

2x = 170 (divide both sides by 2)

x = 170 / 2 = 85°

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