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olchik [2.2K]
3 years ago
7

Question : What value of t corresponds to the first day that the sun is 20° north of due east at sunrise? Round your answer to t

he nearest integer.
Please show work! Thanks :)

Mathematics
1 answer:
marin [14]3 years ago
4 0
<span>During each day the ... only times in the year that the Sun rises due east and sets due west. ... At the June (winter) solstice the Sun risesnorth of east, makes a ... Over the next few weeks sunset moved to the left or south and by 23 ... June 28, 2016 at 2:20 pm.</span><span>
</span>
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jeka57 [31]
180- 44= 136 = x
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What is the slope of the line shown below?
Lesechka [4]

Answer:

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (3, 9)

m = \frac{9-2}{3+4} = \frac{7}{7} = 1 → A

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The overnight temperature in Tampa never reach below 40°F during november. wich inquality shows that
notsponge [240]

x≥40 is the answer to your problem


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If outliers are discarded, then the retirement savings by residents of Econistan is normally distributed with a mean of $100,000
zavuch27 [327]

Answer:

P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the retirement savings of a population, and for this case we know the distribution for X is given by:

X \sim N(100000,20000)  

Where \mu=100000 and \sigma=20000

We are interested on this probability

P(X>117000)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>117000)=P(\frac{X-\mu}{\sigma}>\frac{117000-\mu}{\sigma})=P(Z>\frac{117000-100000}{20000})=P(z>0.85)

And we can find this probability using the complement rule and the normal standard table or excel:

P(z>0.85)=1-P(z

The firgure attached illustrate the problem

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3 years ago
Two athletic directors purchased tennis balls and baseballs at the same store. The first athletic director bought 5 tennis balls
Setler79 [48]
The price of a baseball is $3.75. This problem can be solved using an elimination between two equation with two variables in it which are, 5x + 3y = 23.75 and 2x + 7y = 31.25. First, multiply the first equation by 2 and the second equation by 5 which resulting in 10x + 6y = 47.5 and 10x + 35y=  156.25 and then eliminate the x variable resulting in 29y = 108.75. The baseball price can be acquired from this equation (y = 3.75) because y variable represents the baseball price.
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