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2 years ago

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A game room has a floor that is 450 feet by 50 feet. A scale drawing of the floor on grid paper uses a scale of 1 unit:5 feet. W

hat are the dimensions of the scale drawing? Enter your answer as length by width. The scale drawing is units by units. h

1 answer:

alexira [117]2 years ago

3 0

Answer:

90*10 Square units

Step-by-step explanation:

length of the drawing = 450/5 =90 units

Width of the drawing = 50/5 = 10 units

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Suppose that 50% of all young adults prefer McDonald's to Burger King when asked to state a preference. A group of 12 young adul

ddd [48]

Answer:

a) 0.194 = 19.4% probability that more than 7 preferred McDonald's

b) 0.787 = 78.7% probability that between 3 and 7 (inclusive) preferred McDonald's

c) 0.787 = 78.7% probability that between 3 and 7 (inclusive) preferred Burger King

Step-by-step explanation:

For each young adult, there are only two possible outcomes. Either they prefer McDonalds, or they prefer burger king. The probability of an adult prefering McDonalds is independent from other adults. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

50% of all young adults prefer McDonald's to Burger King when asked to state a preference.

This means that $p = 0.5$

12 young adults were randomly selected

This means that $n = 12$

(a) What is the probability that more than 7 preferred McDonald's?

$P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{12,8}.(0.5)^{8}.(0.5)^{4} = 0.121$

$P(X = 9) = C_{12,9}.(0.5)^{9}.(0.5)^{3} = 0.054$

$P(X = 10) = C_{12,10}.(0.5)^{10}.(0.5)^{2} = 0.016$

$P(X = 11) = C_{12,11}.(0.5)^{11}.(0.5)^{1} = 0.003$

$P(X = 12) = C_{12,12}.(0.5)^{12}.(0.5)^{0} = 0.000$

$P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.121 + 0.054 + 0.016 + 0.003 + 0.000 = 0.194$

0.194 = 19.4% probability that more than 7 preferred McDonald's

(b) What is the probability that between 3 and 7 (inclusive) preferred McDonald's?

$P(3 \leq X \leq 7) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 3) = C_{12,3}.(0.5)^{3}.(0.5)^{9} = 0.054$

$P(X = 4) = C_{12,4}.(0.5)^{4}.(0.5)^{8} = 0.121$

$P(X = 5) = C_{12,5}.(0.5)^{5}.(0.5)^{7} = 0.193$

$P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.226$

$P(X = 7) = C_{12,7}.(0.5)^{7}.(0.5)^{5} = 0.193$

$P(3 \leq X \leq 7) = P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.054 + 0.121 + 0.193 + 0.226 + 0.193 = 0.787$

0.787 = 78.7% probability that between 3 and 7 (inclusive) preferred McDonald's

(c) What is the probability that between 3 and 7 (inclusive) preferred Burger King?

Since $p = 1-p = 0.5$ , this is the same as b) above.

So

0.787 = 78.7% probability that between 3 and 7 (inclusive) preferred Burger King

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The tiles below represent the polynomial 2x+ 5x+ 3.

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Answer:

(2x+3)(x+1)

Step-by-step explanation:

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Linn is making cookies. Each batch of cookies

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Answer:

4 cups of sugar require 14 cups of sugar

Step-by-step explanation:

Given

$\frac{7}{8}\ cup\ flour = \frac{1}{4}\ cup\ sugar$

Required

Determine the cups of flour for 4 cups of sugar

First, we need to determine the unit rate for 1 cup of sugar.

This is done by multiplying both sides by 4

$4 * \frac{7}{8}\ cup\ flour = \frac{1}{4}\ cup\ sugar * 4$

$\frac{7}{2}\ cup\ flour = 1\ cup\ sugar$

Next, we determine cup of flour for 4 cups of sugar.

This is done by multiplying both sides by 4

$4 * \frac{7}{2}\ cup\ flour = 1\ cup\ sugar * 4$

$2 * 7\ cup\ flour = 4\ cup\ sugar$

$14\ cup\ flour = 4\ cup\ sugar$

<em>Hence;4 cups of sugar require 14 cups of sugar</em>

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Which set of points below represents a function

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I believe it's the 3rd option:

(-1, 8), (0, 10), (1,12), (2, 14)

Step-by-step explanation:

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