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podryga [215]
3 years ago
6

What does 496.3 and 98 round to the nearest tenth

Mathematics
1 answer:
Rama09 [41]3 years ago
7 0
496.3 would be 497 and 98 would be 100

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the area of a rectangle garden is 38 1/4 square meters.The width of the garden is 4 1/2 meters.Find the length of the garden.
never [62]
Area = 38 1/4 = 153/4

Width = 4 1/2 = 9/2

Area = Length x Width

Length = Area/Width

So divide both of them:
\sf{ \frac{153}{4} \div \frac{9}{2} =\sf{ \frac{153}{4} \times \frac{2}{9} = \frac{9 \times 17}{2\times 2}\times \frac{2}{9} = \frac{17}{2}

So the length is equal to \boxed{\sf{\frac{17}{2}}}

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Dan has a favorite number. His number has the digit 8 in the ones place and 5 in tens place. What is Dan's favorite number.
tino4ka555 [31]
Wouldn't it be 58 or 8.5?
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Find the difference quotient of the exponential function, f(x) = e^x
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Step-by-step explanation:

The difference quotient in general looks like

\frac{f(x+h)-f(x)}{h}   Sometimes the symbol "delta x"  \Delta x   is used instead of h.

For the exponential function, the difference quotient is

\frac{e^{x+h}-e^x}{h}

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The mean temperature for the first 4 days in January was -3°C.
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The mean annual inflation rate in the United States over the past 98 years is 3.37% and has a standard deviation of approximatel
Ksenya-84 [330]

Answer:

38.59% probability that inflation rate will be below 1.9% in 2019

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 3.37, \sigma = 5

If the annual inflation rate is normally distributed, what is the probability that inflation rate will be below 1.9% in 2019?

This is the pvalue of Z when X = 1.9. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{1.9 - 3.37}{5}

Z = -0.29

Z = -0.29 has a pvalue of 0.3859

38.59% probability that inflation rate will be below 1.9% in 2019

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