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3 years ago

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In the number 15.2201 how does the value of 2 in the tenths place compare to the value of the 2 in the hundredths place

1 answer:

lakkis [162]3 years ago

6 0

Answer:

The 2 in the hundreths is 10% of the 2 in the tenths

Step-by-step explanation:

We are given the number 15.2201

#The value of 2 in the tenths:

$0.2$

#The value of 2 in the hundredths:

$0.02$

The difference of the 2 in the tenths and in the hundredths is:

$=2_t-2_h\\\\=0.2-0.02\\\\=0.18\\\\\#2_h \ as \ a \ \% \ of \ 2_t\\=\frac{2_h}{2_t}\times 100\%\\\\=\frac{0.02}{0.2}\times100\%\\\\2_h=10\% \ of\ 2_t$

Hence, the difference between the 2 in the tenths minus 2 in the hundreths is 0.18, 2 in the hundreths is 10% the 2 in the tenths.

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SAT verbal scores are normally distributed with a mean of 433 and a standard deviation of 90. Use the Empirical Rule to determin

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34% of the scores lie between 433 and 523.

Solution:

Given data:

Mean (μ) = 433

Standard deviation (σ) = 90

<u>Empirical rule to determine the percent:</u>

(1) About 68% of all the values lie within 1 standard deviation of the mean.

(2) About 95% of all the values lie within 2 standard deviations of the mean.

(3) About 99.7% of all the values lie within 3 standard deviations of the mean.

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Using empirical rule, about 68% of all the values lie within 1 standard deviation of the mean.

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A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

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Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for $x$ days.

So, for $x$ days the total expense = $360

<em>Thus the daily expense in dollars can be given by</em> = $\frac{360}{x}$

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

<em>Tour duration now</em> = $(x+4)$ days

On extension, his daily expense is cut by $3

<em>New daily expense in dollars </em>= $(\frac{360}{x}-3)$

Total expense in dollars can now be given as: $(x+4)(\frac{360}{x}-3)$

Simplifying by using distribution (FOIL).

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We know total expense remains the same which is = $360.

So, we have the equation as:

$348-3x+\frac{1440}{x}=360$

Multiplying each term with $x$ to remove fractions.

$348x-3x^2+1440=360x$

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$348x-348x-3x^2+1440=360x-348x$

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