Answer:
0.12 = 12% probability that a randomly selected person likes both juices.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We solve this question treating these events as Venn probabilities.
I am going to say that.
Event A: Like orange juice.
Event B: Like grape juice.
In a survey 125 people, 90 people liked orange juice or grape juice.
This means that:
[tex]P(A \cup B) = \frac{90}{125}[/tex]
62 people who like orange juice and 43 people who like grape juice.
This means that:
[tex]P(A) = \frac{62}{125}, P(B) = \frac{43}{125}[/tex]
What is the probability that a randomly selected person likes both juices?
This is [tex]P(A \cap B)[/tex], which is given by:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex].
With the values in this problem:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = \frac{62}{125} + \frac{43}{125} - \frac{90}{125} = \frac{62 + 43 - 90}{125} = \frac{15}{125} = 0.12[/tex]
0.12 = 12% probability that a randomly selected person likes both juices.
Given R=1/4 Q^2 solve for Q
9514 1404 393
Answer:
Q = ±2√R
Step-by-step explanation:
Take the square root:
±√R = 1/2Q
Multiply by 2:
Q = ±2√R
define gender based violence
Answer:
Step-by-step explanation:
Elder abuse is any action that causes harm or distress to an older person. ...
Sexual violence is any action that results in the loss or removal of sexual autonomy for a person. ...
Stalking is a pattern of harassing behavior or course of conduct directed at a specific person that would place that person in reasonable fear.
write the equation for the circle graphed below.
Answer:
[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]
Step-by-step explanation:
Given
The attached graph
Required
The equation of the circle
The equation of a circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex](h,k) \to center[/tex]
[tex]r \to radius[/tex]
From the attached graph,
[tex](h,k) = (1,-1)[/tex]
[tex]r = 0.5[/tex]
So, we have:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
[tex](x -1)^2 + (y--1)^2 = 0.5^2[/tex]
[tex](x -1)^2 + (y+1)^2 = 0.5^2[/tex]
[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]
An equation is shown below:
8x + 2(x – 7) = 7x + 3x – 14
Part A: Solve the equation and write the number of solutions. Show all the steps. (6 points)
Part B: Name one property you used to solve this equation. (4 points)
1st Coordinate Point: (1.4)
2nd Coordinate Point: ( 6 , 6)
(X,Y,) =
(X,Y)=
M = (Y-Y.) =(X-X)
To make a newspaper with 60 pages you need 15 sheets of paper which are on top of each other. Then they are folded together. Page 7 is missing. Which other pages are missing in this newspaper?
Answer: here’s your answer
Step-by-step explanation:
pages are 60
sheet 15
on one sheet we get no of
pages=60/15=4
on one sheet we get 4 pages
they are stuck each other
so
let we consider
on1st sheet page no 1=60
2=59
so 7pageno. missing with also 8
(because attaching each other)
7=60-7
8=60-8
answer is 7,8,52,53pages are 60
sheet 15
on one sheet we get no of
pages=60/15=4
on one sheet we get 4 pages
they are stuck each other
so
let we consider
on1st sheet page no 1=60
2=59
so 7pageno. missing with also 8
(because attaching each other)
7=60-7
8=60-8
answer is 7,8,52,53
A bag contains tickets numbered 1 through 5. Use the probability distribution to determine the probability of drawing an odd numbered ticket.
The probability of drawing an odd numbered ticket is __ %
Answer:
The probability of drawing an odd numbered ticket is 60%.
Step-by-step explanation:
Odd numbered tickets:
Probability of one is 1/5 plus half of 1/5.
[tex]P(X = 1) = \frac{1}{5} + \frac{1}{10} = \frac{3}{10}[/tex]
Probability of 3 is half of 1/5.
[tex]P(X = 3) = \frac{1}{10}[/tex]
Probability of 5 is 1/5. So
[tex]P(X = 5) = \frac{1}{5}[/tex]
Probability of drawing an odd numbered ticket:
[tex]p = P(X = 1) + P(X = 3) + P(X = 5) = \frac{3}{10} + \frac{1}{10} + \frac{1}{5} = \frac{4}{10} + \frac{2}{10} = \frac{6}{10} = 0.6[/tex]
0.6*100% = 60%
The probability of drawing an odd numbered ticket is 60%.
For the rotation -982º, find the coterminal angle from 0°
quadrant and the reference angle.
9514 1404 393
Answer:
coterminal angle: 98°
reference angle: 82°
Step-by-step explanation:
Adding 360° × 3 = 1080° brings the angle into the range 0-360°.
The coterminal angle is -982 +1080° = 98°
This is a 2nd-quadrant angle. The reference angle is 180° -98° = 82°.
The population of a city decreases by 3.1% per year. If this year's population is 142,000, what will next year's population be, to the nearest individual?
Answer:
100 - 3.1 = 96.9
142000 - 96.9 = 1410903.1
Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D
1. Radius = 32/2 = 16 inches
Diameter = 32 inches
Circumference = 3.14 × 32 = 100.48 inches
Area = 3.14 × 256 = 803.84 inches
2. Radius :- 40 / 2 = 20 inches
Diameter = 40 inches
Circumference = 3.14 × 40 = 125.6 inches
Area = 3.14 × 20 × 20 = 1256 inches
3. Radius = 28 / 2 = 14 inches
Diameter = 28 inches
Circumference = 3.14 × 28 = 87.92 inches
Area = 3.14 × 14 × 14 = 615.44 inches
4. Radius = 18/2 = 9 inches
Diameter = 18 inches
Circumference = 3.14 × 18 = 56.52 inches
Area = 3.14 × 9 × 9 = 254.34 inches
5. Radius = 5 inches
Diameter = 5 × 2 = 10 inches
Circumference = 3.14 × 10 = 31.4 inches
Area = 3.14 × 5 × 5 = 78.5 inches
6. Radius = 2 inches
Diameter = 2 × 2 = 4 inches
Circumference = 3.14 × 4 = 12.56 inches
Area = 3.14 × 2 × 2 = 12.56 inches
–––––––––☆–––––––––Answer: Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D
Step-by-step explanation:
1. Radius = 32/2 = 16 inches
Diameter = 32 inches
Circumference = 3.14 × 32 = 100.48 inches
Area = 3.14 × 256 = 803.84 inches
2. Radius :- 40 / 2 = 20 inches
Diameter = 40 inches
Circumference = 3.14 × 40 = 125.6 inches
Area = 3.14 × 20 × 20 = 1256 inches
3. Radius = 28 / 2 = 14 inches
Diameter = 28 inches
Circumference = 3.14 × 28 = 87.92 inches
Area = 3.14 × 14 × 14 = 615.44 inches
4. Radius = 18/2 = 9 inches
Diameter = 18 inches
Circumference = 3.14 × 18 = 56.52 inches
Area = 3.14 × 9 × 9 = 254.34 inches
5. Radius = 5 inches
Diameter = 5 × 2 = 10 inches
Circumference = 3.14 × 10 = 31.4 inches
Area = 3.14 × 5 × 5 = 78.5 inches
6. Radius = 2 inches
Diameter = 2 × 2 = 4 inches
Circumference = 3.14 × 4 = 12.56 inches
Area = 3.14 × 2 × 2 = 12.56 inches
–––––––––☆–––––––––
PLEASEEEEEE HELPPPP IM BEGGING ISOMEONE PLEASEEEE
Answer:
Reason : by ASA , x = 36
Step-by-step explanation:
∠ABC = ∠EBD (vertically opposite angle)
BC = BD = 54 (same length)
∠BAC = ∠BDE (alternate interior angles)
By ASA , ΔABC ≅ ΔDBE
[tex]54 \times x = 36 \times 54\\\\x = 36[/tex]
What is EG? Round to the nearest tenth if necessary.
Answer:
26.
Step-by-step explanation:
As the vertex angles are equal:
24/54 = x / x+10
54x = 24x + 240
30x = 240
x = 8
So EG = x + x + 10
= 8 + 8 + 10
= 26..
Jon Deposits $14,500 into an account paying 5% annual interest compounded quarterly and Sara deposits $16,250 into an account paying 4% annual interest compounded daily who will have more money after 1 year? How much more will that person have? Show and explain all work.
Answer:
Results are below.
Step-by-step explanation:
Giving the following information:
Jon:
Initial investment (PV)= $14,500
Interest rate (i)= 0.05/4= 0.0125
Number of periods (n)= 4 quarters
Sara:
Initial investment (PV)= $16,250
Interest rate (i)= 0.04/365= 0.00011
Number of periods (n)= 365 days
To calculate the Future Value, we need to use the following formula:
FV= PV*(1+ i)^n
Jon:
FV= 14,500*(1.0125^4)
FV= $15,238.71
Sara:
FV= 16,250*(1.00011^365)
FV= $16,915.67
Sara will have $1,676.96 more than Jon.
what's the answer I have 30 something more questions to go
Answer:
9 cm
Step-by-step explanation:
y = 12 - 3
y = 9
What is the slope of the line that contains the points (-1, 2) and (3, 3)?
O A. -
B. -4
O c.
O D. 4
Please help
Answer:
Slope = 1/4
Step-by-step explanation:
[tex]slope = \frac{y2-y1}{x2-x1} \\m=\frac{3-2}{3--1} \\m=1/4[/tex]
help? (i mark brainlist)
whats the answer. ill make this 20 pts
Answer:
B
Step-by-step explanation:
[tex] \sqrt[y]{ {x}^{z} } = {x}^{ \frac{z}{y} } \\ [/tex]
y is directly proportional to the positive square root of( x+2)² when x = 8 y= 250 find y when x = 4
Answer:
150
Step-by-step explanation:
Since y is directly proportional to sqrt((x+2)^2), there is a constant,k, such that
y=ksqrt((x+2)^2)
We are given a pair (x,y) in this relation. Let's plug in (8,250 ) to find k.
250=ksqrt((8+2)^2)
250=ksqrt((10)^2)
250=k10
250/10=k
25=k
So for any pair (x,y) we have the relation y=25((x+2)^2).
We are asked to find y when x=4.
y=25((4+2))^2
y=25(6)
y=150
Test to see if y is proportional to sqrt((x+2)^2)
For the given points: 250/150=10/6
The equation is true so we're great.
Which theorem can be used to show that AJKL - AMNP?
Answer:
C. ASA Similarity
Step-by-step explanation:
Using the Angle-Side-Angle Similarity Theorem is the only thing we can do because looking above we see that we know two angles and one side. Hence, this can be the only theorem that is fit for these two triangles.
is (0,0) a solution to this system
is (0,0) a solution to what system?
find the value from the given photo
Answer:
- [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{2x-3y}{2x+3y}[/tex] ← factor out y from each term on numerator/ denominator
= [tex]\frac{y(2\frac{x}{y} -3)}{y(2\frac{x}{y} +3)}[/tex]
= [tex]\frac{2(\frac{3}{4})-3 }{2(\frac{3}{4})+3 }[/tex]
= [tex]\frac{\frac{3}{2}-3 }{\frac{3}{2}+3 }[/tex]
= [tex]\frac{-\frac{3}{2} }{\frac{9}{2} }[/tex]
= - [tex]\frac{3}{2}[/tex] × [tex]\frac{2}{9}[/tex]
= - [tex]\frac{3}{9}[/tex]
= - [tex]\frac{1}{3}[/tex]
1 1/6 + 3/4
can someone please help
Answer:
1 11/12
Step-by-step explanation:
convert to common denominators.
1 1/6 = 7/6 = 14/12
3/4 = 9/12
14+9=23
23/12
1 11/12
---
hope it helps
The area of a triangle is 14 square inches, and the triangle's height is 7 inches. Use the formula A = bh, where A is area, b is
base, and h is height, to find the length of the base of the triangle.
•49 inches
•1 inch
•2 inches
•4 inches
length of base is2 inches:
Answer:
Solution given:
According to the questionArea of triangle=14 square inches
bh=14
7*b=14
b=14/7
b=2
length of base is2 inches:
if
A=½bh
then
Area of triangle=14 square inches
½bh=14
½*7*b=14
b=14*2/7
b=4 inches
the length of the base of the triangle is 4inches.
The length of the base of the triangle will be;
⇒ b = 2 inches.
Option 3 is true.
What is mean by Triangle?
A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.
Given that;
The area of a triangle = 14 square inches
Height of a triangle = 7 inches
Now,
The given formula for a triangle is;
⇒ A = bh
Where, A is the area, b is base and h is the height of the triangle.
Substitute all the values in above equation, we get;
⇒ A = bh
⇒ 14 = b x 7
Divide by 7, we get;
⇒ 14/7 = b
⇒ b = 2 inches.
Therefore,
The length of the base of the triangle will be;
⇒ b = 2 inches.
Option 3 is true.
Learn more about the triangle visit:
https://brainly.com/question/21735282
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résoudre l'équation. 2(x-2)=3x+3(2x+1)
Answer:
Step-by-step explanation:
2(x-2)=3x+3(2x+1)
2x-4=3x+6x+3
2x-4=9x+3
2x-9x=3+4
-7x=7
x=7/-7
x=-1
1
Abdullah tracked the scores of his Science tests this year.
93, 71, 86, 95, 72, 81, ?
He lost the score from his final test, but knows he had a mean score of 82.
Calculate his missing score.
76 O
Activate Windows
Go to Settings to activate Windows.
11:30 AM
5/31/2021
Desktop
4») GG ENG
O
10
Answer:
76
Step-by-step explanation:
Answer:
I believe the answer is 76
need help with PART A!!
Answer:
complementary angles
Step-by-step explanation:
Complementary angles add to 90 degrees
Supplementary angles add to 180 degrees
A right angle is 90 degrees so they are complementary angles
A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $1560 in labor expenses for 52 hours worked. The relationship between the labor expenses and the hours worked is linear. Which equation can be used to calculate the y-intercept of the linear equation?
Answer: 1560 = 30(52) + b
Step-by-step explanation:
Based on the information given in the question, the straight line passes through two points which are (40, 1200) and (52, 1560). Then, the equation if the straight line will be:
y - 1560 = (1200 - 1560)/(40 - 52) (x - 52)
y - 1560 = (-360)/(-12) (x - 52)
y - 1560 = 30(x - 52)
Lets put the value of x to be 0.
y - 1560 = 30(x - 52)
y - 1560 = 30(0 - 52)
y - 1560 = -30(52)
Therefore, 1560 = 30(52) + b
A 90% confidence interval for the mean percentage of airline reservations being canceled on the day of the flight is (3.9%, 7.3%). What is the point estimator of the mean percentage of reservations that are canceled on the day of the flight? 3.65% 5.60% 1.70% 3.4%
======================================================
Work Shown:
Find the midpoint of the percentages given.
A = 3.9
B = 7.3
C = midpoint of A and B = point estimate
C = (A+B)/2
C = (3.9+7.3)/2
C = 11.2/2
C = 5.60
5.60% is the point estimate
Side note: The margin of error is B-C = 7.3-5.6 = 1.70%, or you could say C-A = 5.6 - 3.9 = 1.70%
The mean percentage of reservations that are canceled on the day of the flight is equal to the 5.60%
We have to determine the midpoint of the percentages given.
A = 3.9
B = 7.3
C = midpoint of A and B = point estimate
What is the formula for the midpoints?C = (A+B)/2
C = (3.9+7.3)/2
C = 11.2/2
C = 5.60
5.60% is the point estimate
Side note: The margin of error is
B-C = 7.3-5.6
B-C= 1.70%, or you could say
C-A = 5.6 - 3.9
C-A= 1.70%
Therefore the midpoint of B and C is 1.70% and the midpoint in between C-A is 1.70%.
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What shape is the Base of this Prism?
Answer:
a rectangle
Step-by-step explanation:
True or False: The first number in an integer subtraction problem tells you where to start on the board.
Answer:
i think false
Step-by-step explanation: