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avanturin [10]
2 years ago
12

42 of the 50 coffee mugs at Nicole's Pancake House are dirty. What percentage of the

Mathematics
2 answers:
LenKa [72]2 years ago
5 0

Answer:

84%

Step-by-step explanation:

of the means division.

42/50 = 84/100 = 84%

TiliK225 [7]2 years ago
4 0
16% of the mugs are dirty

42/50

84/100

100-84=16
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a movie ticket used to cost $4.25 back in 1990. inflation exist because products increase in value over time. the inflation rate
Andrews [41]

In the year 1998, movie tickets will be greater than $5.50 as determined by solving the equation y=4.25[(1.035)^x].

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A movie ticket cost $4.25 in 1990.

The inflation rate is about 3.5%

Rate increased ,r=100%+3.5%=103.5%=1.035

equation generated is,

y=4.25[(1.035)^x]

Solving the equation for each year, we get the following data:

Tabulating the data

Year         cost

1990         4.25

1991          ....

....              ....

1998          5.5964~ 5.6

In the year 1998, the will be greater than $5.50.

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1 year ago
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3 years ago
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PolarNik [594]

Answer:

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Step-by-step explanation:

4 0
3 years ago
A real estate agent has 1212 properties that she shows. She feels that there is a 50P% chance of selling any one property during
forsale [732]

Answer:

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The probability of a property being sold is independent of any other property. This means that the binomial probability distribution is used 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.

12 properties

This means that n = 12

She feels that there is a 50% chance of selling any one property during a week.

This means that p = 0.5

Compute the probability of selling no more than 6 properties in one week.

This is:

P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)

In which

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

P(X = 0) = C_{12,0}.(0.5)^{0}.(0.5)^{12} = 0.0002

P(X = 1) = C_{12,1}.(0.5)^{1}.(0.5)^{11} = 0.0029

P(X = 2) = C_{12,2}.(0.5)^{2}.(0.5)^{10} = 0.0161

P(X = 3) = C_{12,3}.(0.5)^{3}.(0.5)^{9} = 0.0537

P(X = 4) = C_{12,4}.(0.5)^{4}.(0.5)^{8} = 0.1208

P(X = 5) = C_{12,5}.(0.5)^{5}.(0.5)^{7} = 0.1934

P(X = 6) = C_{12,6}.(0.5)^{6}.(0.5)^{6} = 0.2256

P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0002 + 0.0029 + 0.0161 + 0.0537 + 0.1208 + 0.1934 + 0.2256 = 0.6127

0.6127 = 61.27% probability of selling no more than 6 properties in one week.

6 0
2 years ago
I need help with this ASAP!!
Gwar [14]

Answer:

A) 3;  B) 1116 m²; C) 24 m³; D) 1/27

Step-by-step explanation:

A) Scale factor

The scale factor is the ratio of the heights of the two pyramids.

h₂/h₁ = 24/8 = 3

B) Surface area

The ratio of the surface areas is the square of the scale factor.

A₂/A₁ = 3²

A₂/124 = 9

A₂ = 124 × 9 = 1116 m²

The volume of the larger pyramid is 1116 m².

C) Volume

The ratio of the volumes is the cube of the scale factor.

V₂/V₁ = 3³

648/V₁ = 27

648 = 27V₁

V₁ = 648/27 = 24 m³

The volume of the smaller pyramid is 24 m³.

D) Volume ratio

V₁/V₂ = 24/648 = 1/27

The volume ratio is 1/27.

5 0
3 years ago
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