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:
[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
Related Questions
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
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 :)
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
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]
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! :)
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
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
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:
find the slope hurry pleaseeee
Answers
Answer:
I think the answer is ¼, im not 100% aure tho.
Step-by-step explanation:
Please I will give brainliest
Answers
HELP ME PLEASE NEED HELP PLZZZZ
Answers
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
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
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
I need help what is y over 5>= 8
Answers
Answer:
3 i think
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
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
Can someone help me pleasee :)
Answers
Answer:
ill help you
Step-by-step explanation:
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.
Find the circumference of the circle with the given area A. Use 3.14 for TI
A = 87.9
C =
r=
Answers
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
Which statement about the two triangles is correct?
Answers
Answer:
The second choice
Step-by-step explanation:
i dunno how to explain it
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
Evaluate: (4/25)^1/2
Answers
ill give brainlist if your correct
Answers
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
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:
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
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
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
Hopefully this helps :)
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
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 PQNA 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