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zmey [24]
3 years ago
6

Kevin is 4 times as old as Daniel and is also 6 years older than Daniel. How old is Kevin?

Mathematics
1 answer:
Eduardwww [97]3 years ago
5 0
There are numerous important information's already given in the question. Based on these information's, the answer can be deduced.
Let us assume the age of Daniel = x years
Let us assume the age of Kevin = y years
Then
y = 4x
and
y = x + 6
So
4x = x + 6
4x - x = 6
3x = 6
x = 6/3
   = 2 years
So
Age of Kevin = 4 * 2 years
                      = 8 years

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maks197457 [2]

The two inequalities are :

option B and option C

Explanation:

Daniel moves no more than 30 of his sheep and goats into another field. This means the summation of sheep and goats will be at maximum 30.

that is why it is s+g\leq30

And more than 7 of his animals are sheep means sheep are greater than 7. that is why = s>7


7 0
3 years ago
At 6 a.m., the temperature was –8°C. By noon, the temperature had risen 6°C. The temperature at 6 p.m. was –10°C. Which integer
Grace [21]
It’s negative 16 so i guess it’s a negative integer
4 0
3 years ago
Read 2 more answers
g If the economy improves, a certain stock stock will have a return of 23.4 percent. If the economy declines, the stock will hav
dusya [7]

Answer:

E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%

Now we can find the second central moment with this formula:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965

And the variance is given by:

Var(X) = E(X^2) - [E(X)]^2

And replacing we got:

Var(X) = 413.5965 -(11.759)^2 =275.5105

And finally the deviation would be:

Sd(X) = \sqrt{275.5105}= 16.599 \%

Step-by-step explanation:

We can define the random variable of interest X as the return from a stock and we know the following conditions:

X_1 = 23.4 , P(X_1) =0.67 represent the result if the economy improves

X_2 = -11.9 , P(X_1) =0.33 represent the result if we have a recession

We want to find the standard deviation for the returns on the stock. We need to begin finding the mean with this formula:

E(X) = \sum_{i=1}^n X_i P(X_i)

And replacing the data given we got:

E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%

Now we can find the second central moment with this formula:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965

And the variance is given by:

Var(X) = E(X^2) - [E(X)]^2

And replacing we got:

Var(X) = 413.5965 -(11.759)^2 =275.5105

And finally the deviation would be:

Sd(X) = \sqrt{275.5105}= 16.599 \%

7 0
3 years ago
The following integers are listed in order from greatest to least. 10, 7, -3, -7
alexgriva [62]

Answer:

true

Step-by-step explanation:

negative numbers are smaller than positives and bigger negative numbers like -7 are lower than smaller negative numbers like -3

4 0
3 years ago
What is the greatest possible product of a 2 digit number and a1 digit number?explain how you know
LiRa [457]
Well, the greatest 2 digit number is 99, and the greatest 1 digit number is 9, so the awnser would be 108. Hope his helps.
3 0
3 years ago
Read 2 more answers
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