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Blizzard [7]
3 years ago
8

Similar to changes in elevation, temperature changes are often expressed as sums and differences of positive and negative ration

al numbers. In Isla Hoste, what is the average net change in temperature, from the high to the low, in August?
Mathematics
2 answers:
Sergio [31]3 years ago
5 0

Answer:

39°F

Step-by-step explanation:

yeah thats is JDJDJDJDNSMS

xeze [42]3 years ago
4 0
39 f sksjsjkskdk yea

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Find the distance from point A(−14, 5) to the line −x+2y = 14.
Ad libitum [116K]

Answer:

The distance from point A to given line is: 2√5 or 4.472 units

Step-by-step explanation:

Given equation of line is:

-x+2y= 14

And the point is:

A = (x_1,y_1) = (-14,5)

The standard form of equation of line is:

Ax+By+C = 0

Converting the given equation into standard form

-x+2y-14=0

The distance of a point (x1,y1) from a line is given by the formula:

d = \frac{|Ax_1+By_1+C}{\sqrt{A^2+B^2}}

In the given details,

A = -1, B = 2, C = -14

x1 = -14, y1 = 5

Putting the values in the formula

d = \frac{|(-1)(-14)+(2)(5)-14|}{\sqrt{(-1)^2+(2)^2}}\\d = \frac{14+10-14}{\sqrt{1+4}}\\d = \frac{10}{\sqrt{5}}\\d = \frac{5*2}{\sqrt{5}}\\d = \frac{\sqrt{5}*\sqrt{5}*2}{\sqrt{5}}\\d = 2\sqrt{5}\\d = 4.472\ units

Hence,

The distance from point A to given line is: 2√5 or 4.472 units

5 0
3 years ago
The price of a pair of shoes is $63.20. The sales tax rate is 4.5 percent.How much sales tax would you pay if you bought these s
m_a_m_a [10]
<span>Tax rate is 4.5 percent of the item cost so if you buy shoes that cost 63.20 you have to pay 4.5 percent of this value as tax so write 4.5 percent as a fraction or decimal then multiply it by the item cost.

Therefore, </span><span>63.20 x .045 = $2.84</span>
6 0
4 years ago
Write an equation of the line passing through the point (3, -1) and parallel to the line y=2/3x - 5. Show work
alex41 [277]

Answer:

The answer is: y = 2/3x - 3

Step-by-step explanation:

Given point: (3, -1)

Given equation: y = 2/3x - 5, which is in the form y = mx + b where m is the slope and b is the y intercept.

Parallel lines have the same slope. Use the point slope form of the equation with the point (3, -1) and substitute:

y - y1 = m(x - x1)

y - (-1) = 2/3(x - 3)

y + 1 = 2/3x - 6/3

y + 1 = 2/3x - 2

y = 2/3x - 3

Proof:

f(3) = 2/3(3) - 3

= 6/3 - 3

= 2 - 3

= -1, giving the point (3, -1)

Hope this helps! Have an Awesome Day!!  :-)

6 0
3 years ago
The sum of the interior angles of an n-gon is _____(n - 2).
Verdich [7]
The sum of the interior angles is 180°
8 0
3 years ago
Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact the fill volume is random with mean 12.01 o
stepan [7]

Answer:

27.43% probability that the mean volume of a random sample of 144 bottles is less than 12 oz.

Step-by-step explanation:

To solve this problem, it is important to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 12.01, \sigma = 0.2, n = 144, s = \frac{0.2}{\sqrt{144}} = 0.0167

What is the probability that the mean volume of a random sample of 144 bottles is less than 12 oz

This is the pvalue of Z when X = 12

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

By the Central Limit Theorem

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

Z = \frac{12 - 12.01}{0.0167}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743.

So there is a 27.43% probability that the mean volume of a random sample of 144 bottles is less than 12 oz.

4 0
3 years ago
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