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jeka57 [31]
2 years ago
8

While on vacation in Canada, you notice that temperatures are reported in degrees Celsius. You know there is a linear

Mathematics
1 answer:
sashaice [31]2 years ago
7 0

Since , the relation is linear .

Let equation is y = mx + c .

Putting , x = 0 and y = 32 .

32 = c  .......( 1 )

Also , putting x = 100 and y = 212 .

We get :

212 = 100m + c .......( 2 )

Comparing equation 1 and 2 .

100m = 212 - 32

x = 1.8

Therefore , y = 1.8x + 32 .

Hence , this is the required solution .

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9. Gold miners in Alaska have found, on average, 12 ounces of gold per 1000 tons of dirt excavated with a standard deviation of
netineya [11]

Answer:

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

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 = 12, \sigma = 3

What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?

This is 1 subtracted by the pvalue of Z when X = 16. So

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

Z = \frac{16 - 12}{3}

Z = 1.33

Z = 1.33 has a pvalue of 0.9082

1 - 0.9082 = 0.0918

9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated

5 0
2 years ago
What is the sum of the polynomials (m+n+3)(m+n+4)
poizon [28]
(m + n + 3)(m + n + 4)
First distribute the m in the first set of parentheses to the second set of parentheses.  Do the same process with the n and the 3.
m^2 + mn + 4m + mn + n^2 + 4n + 3m +3n + 12
Combine Like terms. Final Answer:
m^2 + n^2 + 2mn + 7m + 7n + 12
4 0
2 years ago
Read 2 more answers
a family paid $19,200 as a down payment for a home. if this represents 12% of the price of the home, find the price of the home
Tanzania [10]

Answer:

A family paid $19,800 as a down payment for a home. If this represents 12% of the price of the home, find the price of the home.

----------------

Let the price of the home be "x":

Equation:

0.12x = 19800

 

x = 19800/0.12

----------------

x = $165,000

-----------------

Cheers,

Stan H.

================

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A model that describes the population of a fishery in which harvesting takes place at a constant rate is given by dP dt = kP − h
Vadim26 [7]
It increases at T because the behavior increased its speed
8 0
2 years ago
If a conditional statement is “If the sun shines, people will be in good moods”, what is the statement “If the sun does not shin
77julia77 [94]

Answer:

C. Inverse

Step-by-step explanation:

The second statement is the inverse, because in an inverse, the hypothesis and the conclusion are both negated. In this case, the sun doesnt shine and the people wont be in a good mood, as opposed to the sun will shine, and the people will  be in a good mood.

7 0
2 years ago
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