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masya89 [10]
3 years ago
6

Ramon is interested in whether the global rise in temperature is also showing up locally in his town, Centerdale. He plans to lo

ok up the average annual temperature for Centerdale for five recent randomly selected years. He wants to report the number of years whose temperature was higher than the previous year’s temperature. What is the random variable in Ramon’s study, and what are its possible values
Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

Answer:

explained

Step-by-step explanation:

Ramon wants to report the number of years whose temperature was higher than the previous year’s temperature. This can be done by him as

The random variable is the number of years in which the temperature increased from the previous year.

Its possible values are {0,1,2,3,4,5}.

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Find the measure <br>someone please help ​
Ierofanga [76]

Answer:

m∠B = 31°

Step-by-step explanation:

First, find the measure of angle ACB by subtracting its supplement from 180 degrees:

180 - 113 = 77

m∠ACB = 77°

Then subtract both m∠A and m∠ACB from 180 degrees, since the interior angles of a triangle always add to 180°:

m∠B = 180° - 72° - 77°

m∠B = 31°

5 0
2 years ago
find two positive real numbers such that they sum to 108 and the product of the first times the square of the second is a maximu
topjm [15]

The two positive numbers are 36 and 72 which gives a sum equal to 108 and the product of 36 and the square of 72 is a maximum.

Any integer greater than zero is considered a positive number. A positive number can either be written as a number or with the "+" symbol in front of it.

Let us consider the two positive real numbers as x and y. Then, their sum is written as,

x+y=108

Then, y=108-x

And the product is written as,

P=xy²

Substitute value of y in the above equation, we get,

\begin{aligned}P&=x(108-x)^2\\&=x(11664-216x+x^2)\\&=11664x-216x^2+x^3\\&=x^3-216x^2+11664x\end{aligned}

Now, differentiate P with respect to x, and we get,

\begin{aligned}\frac{dP}{dx}&=3x^2-432x+11664\\&=x^2-144x+3888\end{aligned}

Solving the above equation to zero, we get,

\begin{aligned}x^2-144x+3888&=0\\x^2-36x-108x+3888&=0\\x(x-36)-108(x-36)&=0\\(x-108)(x-36)&=0\\x&=\text{108 or 36}\end{aligned}

Substitute values of x in y=108-x, to get values of y.

If we substitute x=108, we get the y value as zero which doesn't give the required solution.

But, if we substitute x=36, we get,

\begin{aligned}y&=108-36\\y&=72\end{aligned}

Thus, the two positive numbers are 36 and 72.

To know more about positive numbers:

brainly.com/question/1635103

#SPJ4

4 0
1 year ago
An apartment building contains 12 units consisting of 1-2 bedroom apartments that rent for $360 and $450 per month, respectively
qwelly [4]
The number of 2 bedroom apartments is 7.
($450*7)+($360*5)=$4950
4 0
3 years ago
Read 2 more answers
Easy quick stuff pls<br><br> Evaluate 11 - 19 - 4 - (-8). <br><br> -20<br> -4<br> -26<br> -2
slamgirl [31]

Answer:

Step-by-step explanation:

11 - 19 - 4 - (-8) =

11 - 19 - 4 + 8 =

- 23 + 19 =

- 4 <===

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3 years ago
$3,000 after 5 years at an interest rate of 3.0 % is the nearest cent.
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<span>$ 3,450.00

</span>Equation:
A = P(1 + rt)
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