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Alex17521 [72]
3 years ago
11

Find the area of the shaded region (in the photo and step by step response please)

Mathematics
1 answer:
irina1246 [14]3 years ago
3 0

Step-by-step explanation:

Area of shaded =Area of Outer rectangle - Area of Inner rectangle.

Area of inner rectangle = L× B.

L=18

B=11

Area of inner rectangle = 18×11

=198m^2

To find the full breadth of the outer rectangle

=2 in +11 + 2 in

=15

To find the full length of the outer rectangle

=2 in + 18 + 2 in

=22

Area= 22 × 15

Area = 330m^2

Area of shaded portion = 330 - 198

=132m^2

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Jake is taking four of his friends to dinner. At the restaurant, a meal, side item, dessert, and drink cost $5.60. The first dri
KonstantinChe [14]
It's the third one! Hope this helps:3
3 0
3 years ago
What is the difference of the fractions? Use the number line to help find the answer. 1 3 5 4 -1 ok -12 -10 8 20 20 000 0 10 12
Nookie1986 [14]

Answer: -11/20

Step-by-step explanation:

1/5-3/4= 4/20-15/20= -11/20

3 0
3 years ago
The weight of a package of mints is believed to be normally distributed with mean 21.37 grams and standard deviation 0.4, i.e. X
nasty-shy [4]

Answer:

P(21

And using a calculator, excel or the normal standard table we have that:

P(-1.85

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the weigths of a population, and for this case we know the distribution for X is given by:

X \sim N(21.37,0.4)  

Where \mu=21.37 and \sigma=0.4

Since the distribution for X is normal then we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

We can find the probability required with the following z score formula:

z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}


And replacing we got:

P(21

And using a calculator, excel or the normal standard table we have that:

P(-1.85

6 0
3 years ago
After how many months will colony 2 always have more bacteria than colony 1?
MaRussiya [10]

The true statement is that colony 2 will always have more bacteria than colony 1 after 4 months

<h3>How to determine the number of months?</h3>

The functions are given as:

  • Colony 1: f(x) = x^2
  • Colony 2: g(x) = 2^x

When colony 2 has more bacteria than colony 1, then it means that:

g(x) >f(x)

Substitute the function values

2^x > x^2

From the graph of both functions, we have:

2^x > x^2 at x >4

This means that colony 2 will always have more bacteria than colony 1 after 4 months

Read more about functions at:

brainly.com/question/11464095

#SPJ1

6 0
2 years ago
Solve for z. –z + 4= -4
slega [8]

Answer:

-z+4=-4

Step-by-step explanation:

First, you want to move the positive four to the other side to isolate the variable.

-z=-8

You cannot have a negative variable, so divide both sides by 1.

-z/1=-8/1

Your answer would be:

Z=8

Hope this helps!!

6 0
2 years ago
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