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Iteru [2.4K]
3 years ago
11

My lawn is 17ft wide and 20ft long, each square foot of lawn gets 1350 new snowflakes per min how much snow in kilograms accumul

ates every hour average mass of snowflake is 1.70mg
Mathematics
1 answer:
Alina [70]3 years ago
7 0

Answer:

46.818 kg

Step-by-step explanation:

First, find the surface area of your yard. This is found by multiplying the length and width.

The equation for this is (l*w)=sa

So,

l=20ft

w=17ft

(20*17)= 340 square feet.

So, if each square foot gets 1350 new flakes per minute, you are going to find how much the entire yard gets in a minute by multiplying the surface area by 1350.

So,

(340*1350)= 459000  flakes for the entire yard in one minute.

Since there is 60 minutes in an hour, multiply 459,000 by 60.

459,000*60= 27,540,000  new flakes in the yard per hour.

Now, to find the weight in milligrams:

27,540,000*1.7= 46,818,000  mgs

Finally, because a kilogram is equal to one million milligrams (mg),

46,818,000/1,000,000= 46.818 kg

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Find the term that must be added to the equation x2 6x=1 to make it into a perfect square.
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The value added to the equation $x^2-6x=1 exists $x^2-6x+9=10.

<h3>What is a perfect square?</h3>

A perfect square exists as a number that can be described as the product of an integer by itself or as the second exponent of an integer.

The perfect square trinomial exists

(a ± b)^2 = a ^2 ± 2ab + b ^2

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x^2-2*3x=1

then $2ab = 2 * 3*x = 2 * x *3

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The value added to the equation $x^2-6x=1 exists $x^2-6x+9=10.

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3 0
2 years ago
Among U.S. cities with a population of more than 250,000 the mean one-way commute time to work is 24.3 minutes. The longest one-
joja [24]

Answer:

a) 9.18% f the New York City commutes are for less than 29 minutes.

b) 26.39% are between 29 and 36 minutes.

c) 67.55% are between 29 and 44 minutes

Step-by-step explanation:

Problems of normally distributed samples can be 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 = 38.7, \sigma = 7.3

a.

What percent of the New York City commutes are for less than 29 minutes?

This is the pvalue of Z when X = 29.

So

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

Z = \frac{29 - 38.7}{7.3}

Z = -1.33

Z = -1.33 has a pvalue of 0.0918.

So 9.18% f the New York City commutes are for less than 29 minutes.

b.

What percent are between 29 and 36 minutes?

This is the pvalue of Z when X = 36 subtracted by the pvalue of Z when X = 29.

X = 36

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

Z = \frac{36 - 38.7}{7.3}

Z = -0.37

Z = -0.37 has a pvalue of 0.3557.

X = 29

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

Z = \frac{29 - 38.7}{7.3}

Z = -1.33

Z = -1.33 has a pvalue of 0.0918.

So 0.3557 - 0.0918 = 0.2639 = 26.39% are between 29 and 36 minutes.

c.

What percent are between 29 and 44 minutes?

This is the pvalue of Z when X = 44 subtracted by the pvalue of Z when X = 29.

X = 44

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

Z = \frac{44 - 38.7}{7.3}

Z = 0.73

Z = -0.37 has a pvalue of 0.7673.

X = 29

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

Z = \frac{29 - 38.7}{7.3}

Z = -1.33

Z = -1.33 has a pvalue of 0.0918.

So 0.7673 - 0.0918 = 0.6755 = 67.55% are between 29 and 44 minutes

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3 years ago
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