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Furkat [3]
3 years ago
15

Students at a local elementary school were shown a painting and asked which emotion—joy, happiness, love, or anger—they felt by

looking at the painting. The students were classified by their age. The following table summarizes the responses of the students by age-group. One student from the school will be selected at random. What is the probability that the student is in the age-
group of 6 to 8 years given that the selected student responded joy?
Mathematics
1 answer:
Ilya [14]3 years ago
8 0

Answer:

28/89

Step-by-step explanation:

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3. Uncle Gino's Pizza Parlor sold 200 sausage
Burka [1]

3. They sold 250 pizzas last week.

4. There are 80 tropical fish in the shipment.

5. 150 students were surveyed.

6. The total size of file is 1000 megabytes.

Step-by-step explanation:

3. Uncle Gino's Pizza Parlor sold 200 sausage  pizzas last week. That was 80% of the total  pizzas they sold. How many total pizzas  did they sell last week?

Given,

Pizzas sold last week = 200

This represents 80% of total pizzas sold.

Let,

x be the total pizzas sold.

80% of x = 200

\frac{80}{100}x=200\\0.8x=200

Dividing both sides by 0.8

\frac{0.8x}{0.8}=\frac{200}{0.8}\\x=250

They sold 250 pizzas last week.

4. The local pet store received a shipment of tropical fish. Seventy-five percent of  the tropical fish were clown-fish. If the  shipment included 60 clown-fish, how many  total tropical fish were in the shipment?

Given,

Number of clown-fish in shipment = 60

This represents 75% of total shipment.

Let x be the total number of fish in shipment.

75% of x = 60

\frac{75}{100}x=60\\0.75x=60

Dividing both sides by 0.75

\frac{0.75x}{0.75}=\frac{60}{0.75}\\x=80

There are 80 tropical fish in the shipment.

5. In a survey of favorite pets, 45 students  said they preferred cats. This was 30% of  the total number of students surveyed.  How many students took the survey?

Given,

Number of students who preferred cats = 45

This represents 30% of total students surveyed.

Let, x be the number of total students surveyed.

30% of x = 45

\frac{30}{100}x=45\\0.3x=45

Dividing both sides by 0.3

\frac{0.3x}{0.3}=\frac{45}{0.3}\\ x=150

150 students were surveyed.

6. Kara has downloaded 250 megabytes of  a file onto her computer. The screen tells  her that this is 25% of the total file. How  many megabytes is the file?

Given,

File downloaded = 250 MB

This represents the 25% of total size of file.

Let, x be the total size of file.

25% of x = 250

\frac{25}{100}x=250\\0.25x=250\\

Dividing both sides by 0.25

\frac{0.25x}{0.25}=\frac{250}{0.25}\\x=1000

The total size of file is 1000 megabytes.

Keywords: percentage, division

Learn more about percentages at:

  • brainly.com/question/10552347
  • brainly.com/question/10570041

#LearnwithBrainly

6 0
3 years ago
Roll a single die what is the probablity of rolling a number lesss than 7
ruslelena [56]

Answer:

Does it say a standard 6 sided die because if so then it would be 6/6 probability because the number can only go up to 6 an so there is no probability of getting anything more then 6

Step-by-step explanation:

5 0
3 years ago
How do you compute the perimeter and area of a rectangle
erica [24]

Answer:

To find the perimeter- add up all the sides

To find the area- multiply length times width

Step-by-step explanation:

6 0
3 years ago
P(A)= .50 P(B)=.80 P(A and B)=.20 what is P(B/A)
Reil [10]

Answer:

Final answer is P(B|A)=0.40.

Step-by-step explanation:

Given that P(A)= .50, P(B)=.80 , and P(A and B)=.20.

Now we need to find about what is the value of P(B/A).

So apply the formula of compound probability :

P(A and B) = P(A)*P(B/A)

Plug the given values into above formula

0.20 = 0.50*P(B/A)

0.50*P(B/A) = 0.20

P(B|A)=\frac{0.20}{0.50}

P(B|A)=0.40

Hence final answer is P(B|A)=0.40.

5 0
3 years ago
Find the perimeter and area of this figure
Sonja [21]

Answer:

A = (16π -32) in²

P = (4π +8√2) in

Step-by-step explanation:

The area is that of a quarter-circle of radius 8 inches less half the area of a square with side length 8 inches. Two formulas are useful:

area of a circle = πr² . . . . .r = radius

area of a square = s² . . . . s = side length

Then your area is ...

A = (1/4)π(8 in)² - (1/2)(8 in)² = (64 in²)(π/4 -1/2)

A = (16π -32) in²

____

The applicable formulas for the side lengths of your figure are ...

arc BD = (1/4)(2πr) = π(r/2) = π(8 in)/2 = 4π in

segment BD = (8 in)√2

The perimeter is the sum of these lengths, so is ...

P = (4π +8√2) in

_____

Of course, you are very familiar with the fact that an isosceles right triangle with side lengths 1 has a hypotenuse of length √(1²+1²) = √2. Scaling the triangle by a factor of 8 inches means the segment AB will be 8√2 inches long.

8 0
3 years ago
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