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Dennis_Churaev [7]

3 years ago

12

Find the total area of the figure. It is _______ square inches.

1 answer:

kompoz [17]3 years ago

6 0

Answer:

1100 square inches

Step-by-step explanation:

Formula: LxW

<u>Smallest rectangles</u> area: 5*20=100= 1 rectangle

there are 2 smal rectangles so= 100*2=200

<u>Medium rectangles</u> area: 5*30=150

There are 2 so= 150*2= 300

<u>Biggest rectangle:</u> 30*20= 600

Total Area: 200+300+600= 1100 square inches

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A full container of juice holds 64 fluid ounces.How many 7 fluid ounce servings of juice are in a full container?

choli [55]

There is 9 serving of 7 fluid ounces with a remainder of 1 fluid ounce

if you meant 8 fluid ounce servings then it would be 8 servings with no remainder

5 0

3 years ago

The midpoint of FG is (6-4) and the coordinates of point Fare (-3, 6) What are the coordinates of point G?

lora16 [44]

Answer:

(15,-14)

Step-by-step explanation:

Given that,

The midpoint of FG is (6-4) and the corrdinates of F are (-3,6).

Let (x,y) be the coordinates of point G. Using mid point formula,

$\dfrac{x+(-3)}{2}=6\ \text{and}\ \dfrac{y+6}{2}=-4\\\\x-3=12\ \text{and}\ y+6=-8\\\\x=15,\ \text{and}\ y=-14$

So, the coordinates of G are (15,-14).

4 0

3 years ago

Write a few sentences about different ways to show subtraction for a problem 32-15.

Serhud [2]

You have 32 tiles, you use 15 tiles, how many tiles are left?

You just went shopping with $32, you spent $15, how much money do you have left?

Your friend has 32 cards, he loses 15, how many cards does he have left?

8 0

3 years ago

Read 2 more answers

There are three power plants [X, Y, Z] that at any given time each one either generates electricity or idles. Event A is that pl

insens350 [35]

We're told that

$P(A\cap B)=0.15$

$P(A\cup B)^C=0.06\implies P(A\cup B)=0.94$

$P(B\mid A)=P(B^C\mid A)=0.5$

where the last fact is due to the law of total probability:

$P(A)=P(A\cap B)+P(A\cap B^C)$

$\implies P(A)=P(B\mid A)P(A)+P(B^C\mid A)P(A)$

$\implies 1=P(B\mid A)+P(B^C\mid A)$

so that $B\mid A$ and $B^C\mid A$ are complementary.

By definition of conditional probability, we have

$P(B\mid A)=P(B^C\mid A)$

$\implies\dfrac{P(A\cap B)}{P(A)}=\dfrac{P(A\cap B^C)}{P(A)}$

$\implies P(A\cap B)=P(A\cap B^C)$

We make use of the addition rule and complementary probabilities to rewrite this as

$P(A\cap B)=P(A\cap B^C)$

$\implies P(A)+P(B)-P(A\cup B)=P(A)+P(B^C)-P(A\cup B^C)$

$\implies P(B)-[1-P(A\cup B)^C]=[1-P(B)]-P(A\cup B^C)$

$\implies2P(B)=2-[P(A\cup B)^C+P(A\cup B^C)]$

$\implies2P(B)=[1-P(A\cup B)^C]+[1-P(A\cup B^C)]$

$\implies2P(B)=P(A\cup B)+P(A\cup B^C)^C$

$\implies2P(B)=P(A\cup B)+P(A^C\cap B)\quad(*)$

By the law of total probability,

$P(B)=P(A\cap B)+P(A^C\cap B)$

$\implies P(A^C\cap B)=P(B)-P(A\cap B)$

and substituting this into $(*)$ gives

$2P(B)=P(A\cup B)+[P(B)-P(A\cap B)]$

$\implies P(B)=P(A\cup B)-P(A\cap B)$

$\implies P(B)=0.94-0.15=\boxed{0.79}$

8 0

3 years ago

What is meant by the term outlier? What should you do with an outlier?

saul85 [17]

Outliers are data that are in a very far distance from other values in a set of data

Once an outlier is detected in a set of data, we can do the following to them:

Discard the outlier
Change the value of the outlier with another value within close range
Consider the distribution given

We may have a set of data where some of the <em>values are far in distance from the majority of the data</em>. The set of such data are known as an outlier.

For example, give the set of data;

2, 4, 7, 45, 8

45 can be considered as an outlier since the <em>distance of data</em><em> to all other data is</em><em> large</em><em>.</em>

Once an outlier is detected in a set of data, we can do the following to them:

Discard the outlier
Change the value of the outlier with another value within close range
Consider the distribution given

Learn more here: brainly.com/question/23258173

7 0

3 years ago