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Brrunno [24]
3 years ago
8

The sum of five times a number and twice a second number is 18, but the difference of three times the first number and seven tim

es the second number is -22. Find the two numbers using the elimination method.
Mathematics
1 answer:
jeyben [28]3 years ago
5 0
X and y are the numbers
sum means add
5x+2y=18
3x-7y=-22

ok, eliminat
eliminate x's
multiply top by 3 and bottom by -5 and add them equation

15x+6y=54
<u>-15x+35y=110+</u>
0x + 41y=164

41y=164
divide both sides by 41
y=4

sub back

5x+2y=18
5x+2(4)=18
5x+8=18
minus 8
5x=10
divide 5
x=2



the first number is 2, the 2nd number is 4
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A food company sells salmon to various customers. The mean weight of the salmon is 37 lb with a standard deviation of 2 lbs. The
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Answer:

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Step-by-step explanation:

The mean sample of the sum of n random variables is

\overline{X} = \frac{X_1+X_2+...+X_n}{n}

If X_1, ..., X_n are indentically distributed and independent, like in the situation of the problem, then the variance of X_1 + .... + X_n will be the sum of the variances, in other words, it will be n times the variance of X_1 .

However if we multiply this mean by 1/n (in other words, divide by n), then we have to divide the variance by 1/n², thus \overkine{X} = \frac{V(X_1)}{n} and as a result, the standard deviation of \overline{X} is the standard deviation of X_1 divided by \sqrt{n} .

Since the standard deviation of the weigth of a Salmon is 2 lbs, then the standard deviations for the mean weigth will be:

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We conclude that de standard deivation of the mean weigth of salmon of the types of shipment given is: 2/3 lbs for restaurants, 2/7 lbs for grocery stores and 1/4 lbs for discount outlet stores.

7 0
3 years ago
What is the area of the circle below if it is 18 m
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Answer:

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4 years ago
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nikklg [1K]
<span>The right information from the figure is:

AU = 20x + 108,
UB = 273,
BC = 703,
UV = 444,
AV = 372 and
AC = 589

The similarity of the two triangles leads to:

[AB] / [AC] = [AU] / [AV]

[AB] = [AU] + [UB] = 20x + 108 + 273 = 20x + 381

=> (20x + 381) / (589) = (20x + 108) / 372

Now you can solve for x.

(372)(20x + 381) = (20x + 108)(589)

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=> 4340x = 78120

=> x = 18

Answer: x = 18
</span>
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4 years ago
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