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nadezda [96]
2 years ago
14

A group of friends is roping off a soccer field in a back yard. A particular full-size soccer field is a rectangle with a length

of 100 yards and a width of 50 yards. To fit the field in the back yard, the group needs to reduce the size of the field so its perimeter is 60 yards.
What is the Area of the soccer field in the back yard?
Mathematics
1 answer:
sergejj [24]2 years ago
5 0

Answer:

200 ft

The original perimeter would be 300, so divided by 5, it would be 60. 100/5 is 20, 50/5 is 10. 20*10 is 200.

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5 . x^2 /x^2 for x=2
goblinko [34]

Answer:

1

Step-by-step explanation:

Hello!

Plug in 2 for x and simplify.

<h3>Evaluate</h3>
  • \frac{x^2}{x^2}
  • \frac{2^2}{2^2}
  • \frac44
  • 1

We could have also simplified the fraction first. If a fraction has the same number in the numerator and the denominator, then it is always equal to 1, no matter what values of x.

6 0
1 year ago
I can’t figure out the solution I think it is y &lt; -10
Olenka [21]

Hey there!

  • <em>With negatives (-) you have to switch your symbol to the other way</em>
  • \bold{\frac{y}{-2}\leq5}
  • Firstly, substitute the \bold{y\ value  } as an invisible 1
  • So, now we have to flip the equation around
  • \bold{\frac{-1}{2}y\leq5}
  • We have to \bold{multiply} by \bold{-2} on each of your sides
  • \bold{-2\times\frac{-1}{2}\leq-2\times5}
  • \bold{Cancel \ out:2\times\frac{-1}{2}y \ because \ it \ equal \ 1}
  • \bold{Keep: -2\times5 \ because \ it \ helps \ us \ find \ our \ answer}
  • \bold{-2\times5=-10}
  • \boxed{\boxed{\bold{Answer:y\geq-10}}}\checkmark

Good luck on your assignment  and enjoy your day!

~\frak{LoveYourselfFirst:)}

<em />

4 0
3 years ago
Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language. Describe the
taurus [48]

Answer:

The distribution of sample proportion Americans who can order a meal in a foreign language is,

\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})

Step-by-step explanation:

According to the Central limit theorem, if from an unknown population large samples of sizes <em>n</em> > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

 \mu_{\hat p}=p

The standard deviation of this sampling distribution of sample proportion is:

\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}

The sample size of Americans selected to disclose whether they can order a meal in a foreign language is, <em>n</em> = 200.

The sample selected is quite large.

The Central limit theorem can be applied to approximate the distribution of sample proportion.

The distribution of sample proportion is,

\hat p\sim N(p,\ \sqrt{\frac{p(1-p)}{n}})

3 0
3 years ago
4x+2&gt; or equal to 14 and -21x+1&gt;22, find all real numbers for x
astraxan [27]
4x+2\geq 14\ and -21x+1>22 \\\\4x\geq 12 \ |:3\ and \ -21x>21 \ |:(-21)\\\\ x\geq 3 \ and \ x
No solutions
8 0
3 years ago
100) Reflect the point in (a) the x-axis and (b) the y-axis.
klemol [59]

Answer:

Step-by-step explanation:

36. (4,1)

x-axis(4,-1)

y-axis(-4,1)

37.(-2,3)

x-axis(2,-3)

y-axis(-2,3)

38.(2,-5)

x-axis(-2,5)

y-axis(2,-5)

39.(-3.5, -2.5)

x-axis(-3.5,2.5)

y-axis(3.5,-2.5)

Please correct me I am wrong

Here is the y-axis formula (-x,y)

Here is the x-axis formula(x,-y)

4 0
3 years ago
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