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VikaD [51]
3 years ago
9

Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so

warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
%.
Mathematics
2 answers:
Leno4ka [110]3 years ago
6 0
The percent would now be .4 %
miss Akunina [59]3 years ago
6 0
2-1.6 is .4
.4/2 is .2 so a 20% change :)
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Answer: \frac{1}{10}

Step-by-step explanation:

First, we need to find the common denominator

The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.

2 × 5 = 10

So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:

\frac{3*2}{5*2} = \frac{6}{10}         We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.

Do the same thing for the other one:

\frac{1*5}{2*5} = \frac{5}{10}

Finally, subtract the two fractions to find the difference between the two times:

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The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.

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6. The heights of men selected from a particular population have a normal distribution with mean 68 inches and standard deviatio
olchik [2.2K]

Answer:

a) the proportion is 0.159 (15.9%)

b) the proportion is 0.524 (52.4%)

c) Ralph is 70.958 inches tall

Step-by-step explanation:

defining our random variable X= heights of men , then we can define the standard random variable Z as

Z= (X- μ)/σ , where  μ is the population's mean and σ is the corresponding standard deviation of X

then for X=72

Z= (X- μ)/σ

Z= (72-68)/4 = 1

a) P(X> 72) = P(Z> 1) = 1-0.841 = 0.159 (using standard normal distribution tables)

b) for X=64 and X=74

Z₁= (64 -68)/4 = -1

Z₂= (74-68)/4 = 1.5

then

P(68<X< 74) = P(-1<Z <1.5) 0 = P(Z<1.5) - P(Z<-1) =  0.933- 0.159 =0.774

c) Z₃ = 0.933 - 0.774*0.25 = 0.7395

thus

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