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4 years ago

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6.

1 answer:

Art [367]4 years ago

5 0

The slope is B. -4. In the equation y = mx + , m is the slope.

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A square garden has a fence that is 360 meters long. how many square meters of soil are contained in the garden

sergey [27]

Hey there!

Let's solve this problem step by step!
Since we're dealing with a square, the lengths off all sides are the same.

We can find the length of one side by dividing the total circumference by 4 (the number of sides of a square).

Length of one side = 360 meters / 4
Length of one side = 90 meters

The formula to find the area of a square is multiplying a side by another side (multiply length by width, but because they are the exact same, you can just pick one side and plug it in twice).

Area = length × width
Area = 90 × 90
Area = 8100 square meters.

Hence, the answer is 8100 m^2.
~ Hope this helps you!

3 0

3 years ago

Read 2 more answers

The price of a pair of shoes is $45.90. The sales-tax rate is 5 percent. How much sales tax do you need to pay?

Airida [17]

45.90*0.05=2.295. The answer is $2.30 when you round it off.

5 0

4 years ago

A rectangle has a length that is 9 feet less than four times its width. Its area is 90 square feet

kramer

Answer:

The length of rectangle is $15\ ft$

The width of rectangle is $6\ ft$

Step-by-step explanation:

Let

x-----> the length of rectangle

y----> the width of rectangle

we know that

The area of rectangle is equal to

$A=xy$

$A=90\ ft^{2}$

so

$90=xy$ -----> equation A

$x=4y-9$ -----> equation B

substitute equation B in equation A and solve for y

$90=(4y-9)y$

$4y^{2}-9y-90=0$

using a graphing calculator

The solution is

$y=6\ ft$

Find the value of x

$x=4y-9$ -----> $x=4(6)-9=15\ ft$

5 0

4 years ago

Help is very much needed. Please help meee outtt!!

Korvikt [17]

Answer:

22222222225555566666

3 0

3 years ago

The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,

professor190 [17]

Answer:

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given interval.

Mean of 0.6 times a day

7 day week, so $\mu = 7*0.6 = 4.2$

What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)$

In which

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150$

$P(X = 1) = \frac{e^{-4.2}*(4.2)^{1}}{(1)!} = 0.0630$

$P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323$

So

$P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103$

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

3 0

3 years ago