Mathematics High School

Randy drew a rectangle inside another with the size shown below on a piece of paper. He places the paper outside during a light rain. What is the approximate probability that a raindrop that lands on the paper will fall outside the shaded region?

Answers

Answer 1

Answer:

[tex]Probability = 84\%[/tex]

Step-by-step explanation:

First, calculate both areas

[tex]Area = Length * Width[/tex]

The area of the outer rectangle is:

[tex]Big\ Area = 20 * 25[/tex]

[tex]Big\ Area = 500cm^2[/tex]

The area of the small rectangle is:

[tex]Small\ Area = 10 * 8[/tex]

[tex]Small\ Area = 80cm^2[/tex]

The area outside the small rectangle is:

[tex]Outside = Big - Small[/tex]

[tex]Outside = 500cm^2 - 80cm^2[/tex]

[tex]Outside = 420cm^2[/tex]

So, the probability that it falls outside the paper inside is:

[tex]Probability = \frac{Outside}{Big\ Area}[/tex]

[tex]Probability = \frac{420cm^2}{500cm^2}[/tex]

[tex]Probability = \frac{420}{500}[/tex]

[tex]Probability = 0.84[/tex]

Express as percentage:

[tex]Probability = 0.84*100\%[/tex]

[tex]Probability = 84\%[/tex]

See attachment for rectangle

Randy Drew A Rectangle Inside Another With The Size Shown Below On A Piece Of Paper. He Places The Paper

Related Questions

Chad has 1.4 gallons of milk. There are about 3.79 liters in 1 gallon. How many liters of milk does Chad have?
A. 3.79
B. 5.31
C. 2.71
D. 0.37

Answers

Answer:

The answer is B. 5.31 gallons

Step-by-step explanation:

PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry

Answers

Answer:

I think the last one is the answer

WHAT IS THISSSSSSSSSSSSS

Answers

Answer:

1 is to 2

Ie

1/2

Step-by-step explanation:

hope it helps

Answer:

2 to 1

which equals 2

Step-by-step explanation:

if you look at point B (2,1) and B’ (4,2)

we can see that each value is multiplied by 2

The side lengths of the figure below are given in centimeters. If the perimeter of this figure is 78 cm, what is the value of x?

Answers

x=-12 or 6
Hopefully this helps :)

Write an equation of the line shown in the graph in slope intercept form (y = mx + b). Show
your work for full credit.
(4,6)
(2, 2)

Answers

Answer:

y = 2x - 2

Step-by-step explanation:

Points on graph: (4,6) and (2, 2)

Slope:

m=(y2-y1)/(x2-x1)

m=(2-6)/(2-4)

m=(-4)/(-2)

m = 2

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = 2(x - 4)

y - 6 = 2x - 8

y = 2x - 2

Evaluate: (4/25)^1/2

Answers

I think the answer is 2/5

What is the area of this figure?
Enter your answer in the box.
8 m
m2
p>
5 m
9 m

Answers

Answer:

81m²

Step-by-step explanation:

I took the quiz :)

Answer:

81

Step-by-step explanation:

got it right

6, 18, 54, 162
What is the common ratio

Answers

Answer:

3

Step-by-step explanation:

The common ratio is 3 because 6 x 3 = 18 , 18 x 3 = 54 , and 54 x 3 - 162

Please help on these two question it is due today please help me.

Answers

Answer:   7 is 6 feet by 21 feet

8 is 12 inches

Step-by-step explanation:

In a class there are 15 students. 8 of them like playing soccer, 6 of them like swimming, and 2 like both and swimming and playing soccer. How many students do not like playing soccer and do not like swimming?

Answers

Answer:

6+8-2=12, 15-12=3 answer=3

30 POINTS!
Find the value of x. The polygons are similar, but not neccesary drawn to scale.

Answers

Answer:

x = 8

Step-by-step explanation:

x=8

32/24=1 1/3

16/12=1 1/3

(y+1)/21=1 1/3 --> 26 is y

(x-1)/6=1 1/3 --> 7=(x-1) so 8-1=7 so x=8

HOPE THAT HELPS! :)

Dakota makes a salad dressing by combining 6 1/3 fluid ounces of oil and 3 3/8 fluid ounces of
vinegar in a jar. She then pours 3 1/4 fluid Ounces of the dressing onto her salad.
How much dressing remains in the jar?

Answers

Answer:

6 11/24

Step-by-step explanation:

Do that on any calculator and it'll be that (also, if you have any other questions like that, I recommend MathPapa

Find the circumference of the circle with the given area A. Use 3.14 for TI
A = 87.9
C =
r=

Answers

Area = r^2 * 3.14
87.9/3.14 = around 28
Square root of 28 = 5.3
The radius is 5.3
Circumference: diameter * 3.14
5.3 + 5.3 = 10.6
10.6 * 3.14 = 33.3
The circumference is 33.3

What is the distance between these two points: (1, 2) and (9, 8)?

Answers

Dab = square root of ( xa - xb )^2 + (ya - yb)^2

square root of (1 -9 )^2 + (2 - 8)^2

square root of (-8)^2 + (-6)^2

square root of 64 + 36

square root of 100

10 units

if a whole pizza has 2400 calories how many calories would you eat if you ate 5/6 of the pizza?

Answers

Answer:

2000 calories

Step-by-step explanation:

2400 / 6 = 400 calories per 1/6 of pizza

400 * 5 = 2000

Please I will give brainliest

Answers

The answer is 96 square ft

ill give brainlist if your correct

Answers

Hope this help hope you pass have a great day

Answer:

I KNOW this is not an awnser but im doing   the same things as you   for summer school help me i help you?????

Step-by-step explanation:

pls also i think it is like c I dont know thou

Plzz help I'LL GIVE BRAINLIEST AND 100 POINTS

Answers

Answer:

6th graders have more participators in extracurricular activities than 4th graders.

There are more 6th graders than 4th graders that participate in extracurricular activities.

Step-by-step explanation:

your answer for the first one. 6th graders have more than 4th gradersdoing activities.

your answer for the second one. There are more 6th graders than 4th graders that participate in extracurricular activities.

8. The talent show committee sold a total of 530 tickets in advance. Student
tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were
$1740, how many of each type of ticket were sold?

... please solve this using systems of equations

Answers

Answer:

Number of students tickets sold = x = 380 tickets

Number of adults tickets sold = y = 150 tickets

Step-by-step explanation:

Let

Number of students tickets sold = x

Number of adults tickets sold = y

x + y = 530 (1)

3x + 4y = 1740 (2)

From (1)

x = 530 - y

Substitute x = 530 - y into (2)

3x + 4y = 1740

3(530 - y) + 4y = 1740

1590 - 3y + 4y = 1740

- 3y + 4y = 1740 - 1590

y = 150

Substitute y = 150 into (1)

x + y = 530

x + 150 = 530

x = 530 - 150

x = 380

Number of students tickets sold = x = 380 tickets

Number of adults tickets sold = y = 150 tickets

Will give brainliest plz help!

Answers

Answer:

6.28cm

Step-by-step explanation:

I think for me the easiest would be to find the circumference and divide by 4, since the arc is 1/4 of the circumference of the circle.

C=2πr

C=2(3.14)(4)

C = 25.12cm

25.12cm/4 = 6.28

HELP ME PLEASE NEED HELP PLZZZZ

Answers

C or the third one. You need to add janet’s 400+200 then subtract that total from Micheal’s score.

15 POINTS!!!!!

Choose the postulate used to prove the triangles are congruent. If they are not congruent, choose "Not Congruent"

A. SAS

B. AAS

C. ASA

D. SSA

E. Not Congruent ​

Answers

Answer:

A. SAS

the triangle is congruent by side angle and side

A. SAS Hope this help

How long does it take $6,000 to quadruple if it is invested at 9.1% interest compounded annually?

a
15.9 years
b
17.8 years
c
37 years
d
222,222.22 years

Answers

Answer:

1. 15.9 years

Step-by-step explanation:

You must solve this equation:

[tex]6000 \cdot 1.091^n > 24000[/tex]

So [tex]1.091^n > 4[/tex]

Take the log left and right:

[tex]\log 1.091^n > \log 4[/tex]

use the log property that you can put the exponent in front:

[tex]n \cdot \log 1.091 > \log 4[/tex]

[tex]n > \frac{\log 4}{\log 1.091}[/tex]

n > 15.917

find the slope hurry pleaseeee

Answers

Answer:

I think the answer is ¼, im not 100% aure tho.

Step-by-step explanation:

I need help what is y over 5>= 8

Answers

Answer:

3 i think

Step-by-step explanation:

Can someone help me pleasee :)

Answers

Answer:

ill help you

Step-by-step explanation:

The triangles are congruent by SSS or HL.

Triangles M N Q and P Q N are connected at side Q N. Triangle M N Q is rotated about point N and then is shifted to the left to form triangle P Q N.

Which transformation(s) can map TriangleMNQ onto TrianglePQN?

translation only
reflection only
rotation, then reflection
rotation, then translation

Answers

Answer:

rotation, then translation

Step-by-step explanation:

The transformation that map triangle MNQ onto triangle PQN is rotation, then translation.

The given triangles;

Triangle MNQ Triangle PQN

A translation of a triangle occurs when the triangle shifts up, or down,  of left or right on the coordinate plane.

The reflection of a triangle occurs when the vertices of the triangle is flipped over the opposite side.

Since the triangle MNQ is rotated then shifted to the left to form the new triangle PQN, we can conclude that the transformation that map triangle MNQ onto triangle PQN is rotation, then translation.

Learn more about rotation and translation of triangles here: https://brainly.com/question/1616371

Which statement about the two triangles is correct?

Answers

Answer:

The second choice

Step-by-step explanation:

i dunno how to explain it

I WILL MARK SOMEONE BRIANLIEST!!! SOMEONE HELP

Answers

Answer:

See below

Step-by-step explanation:

[tex] \because \: we \: know \: that \\ {2}^{0} = 1 \\ \\ \implies \: log_{2}1 = 0 \\ (if \: {a}^{m} = n \implies \: log_{a}n = m)[/tex]

Please someone help I really need it and please answer if you can give me the answer I will give brainleast just please help me with this

Answers

Answer: I tried to use the step by step explanation of your exercise, I hope Otis helping you and have a nice rest of your day :)

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