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2 years ago

A student is trying to solve the system of two equations given below:

Mathematics

2 answers:

gogolik [260]2 years ago

7 0

Step-by-step explanation:

as the following pic answer should be × -2

ser-zykov [4K]2 years ago

7 0

Answer:

O -2(x+y=8)

Step-by-step explanation:

If you put the problems beside each other, they look like this;

2x + 5y = 24

x + y = 8

So you are trying to find a way to simplify the x's

Step 1;

See if there are any numbers that you could multiply to the bottom problem that would help you get rid of the x specifically.

In this case, -2 would cancel out that other 2 right? Because if you added them, they cancel each other out; 2 -2 = 0

Step 2:

if you multiply, you have to do it to the entire problem;

-2(x + y = 8) (-2 times x, -2 times y, -2 times 8)

-2x + -2y = -16

Step 3:

Go back to your original problem and work it out;

2x + 5y = 24

-2x + -2y = -16

2x and -2x cancel each other out so now you only have;

5y = 24

-2y = -16

Step 4:

Combine like terms;

5y = 24

-2y = -16

3y = 8

Divide by 3

y = 2.6

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"The manager for State Bank and Trust has recently examined the credit card account balances for the customers of her bank and f

yuradex [85]

Answer:

$P(X = 4 ) = 0.1876$

$P(X \le 4) = 0.8358$

Step-by-step explanation:

From the question we are told that

The proportion that has outstanding balance is p = 0.20

The sample size is n = 15

Given that the properties of the binomial distribution apply, for a randomly selected number(X) of credit card

$X \ \ ~ Bin (n , p )$

Generally the probability of finding 4 customers in a sample of 15 who have "maxed out" their credit cards is mathematically represented as

$P(X = 4 ) = ^nC_4 * p^4 * (1 - p)^{n-4}$

=> $P(X = 4 ) = ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}$

Here C stand for combination

=> $P(X = 4 ) = 0.1876$

Generally the probability that 4 or fewer customers in the sample will have balances at the limit of the credit card is mathematically represented as

$P(X \le 4) = [ ^{15}C_0 * (0.20)^0 * (1 - 0.20)^{15-0}]+[ ^{15}C_1 * (0.20)^1 * (1 - 0.20)^{15-1}]+\cdots+[ ^{15}C_4 * (0.20)^4 * (1 - 0.20)^{15-4}]$

=> $P(X \le 4) = 0.8358$

4 0

3 years ago

Really need help Pls

Studentka2010 [4]

Answer:

20.57 cm

Step-by-step explanation:

Circumference of half circle = diameter + half of circumference

$= 8 +\dfrac{2\pi r}{2}\\\\\\= 8 + \pi r\\\\= 8 + 3.142 * 4\\\\= 8 + 12.568\\\\= 20.568\\\\= 20.57 \ cm$

6 0

3 years ago

Please answer this correctly

pickupchik [31]

Answer:

66.7%

Step-by-step explanation:

The factors of 18 are as listed: 1, 2, 3, 6, 9, 18

Since 1, 2, 3, and 6 are in the die, that makes 4 out of the 6 numbers.

4/6 can be simplified to .667 or 66.7%

4 0

3 years ago

Read 2 more answers

SOMEONE PLEASE HELP ME !!!!!

Maslowich

The side of the barn is made of 2 shapes, a triangle and a rectangle. Find the area of each shape, then add together to find the total area.

To find the area of the triangle, we multiply 1/2 x (triangle base x triangle height), we can find the triangle height by subtracting the height on the right by the height on the left, so 26.5-14.5 = 12.5ft.

The area of the triangle is 1/2 x (22.8x12.5) = 142.5 square ft.

The area of the rectangle is calculated by multiplying one side by the other, which is 22.8x14.5 = 330.6 square feet.

The total area of the side of the barn is 330.6 + 142.5 = 473.1 square feet.

Since we now know the area of the side of the barn, we can find the cost of paint needed. A one gallon paint can covers 350 square feet and costs $20, but we need to paint 473.1 square feet so we'll need to buy a second can. This means we can easily paint the side of the barn with 2 cans, costing $40 in paint.

5 0

3 years ago

Solve the missing variable

melomori [17]

Answer:

110°

Step-by-step explanation:

Angles on a quadrilateral always add up to 360°.

So, 100+95+55 = 250.

360-250 = 110°

8 0

3 years ago