A restaurant interest survey of 230 citizens in a town showed that 80 want a new Chili's, 120 want a new Red Lobster, and 20 want both. Determine the probability that:
...
Answers
Answer:
2/23
6/23
5/23
Step-by-step explanation:
60 only want chilis
20 wants both
100 only want red lobster
50 want neither
The right solution to the given question is "[tex]\frac{2}{23}[/tex]", "[tex]\frac{6}{23}[/tex]" and "[tex]\frac{5}{23}[/tex]".
According to the question,
[tex]a+b+c+d = 230[/tex][tex]b = 20[/tex][tex]a+b = 80[/tex]By putting the value of "b", we get
[tex]a+20=80[/tex][tex]a = 80-20[/tex]
[tex]a = 60[/tex]
[tex]b + c=120[/tex]By putting the value of "b", we get
[tex]20+c=120[/tex]
[tex]c = 120-20[/tex]
[tex]c = 100[/tex]
[tex]d = 230-60-100-20[/tex]By putting the values of "a", "b", "c" and "d", we get
[tex]d = 50[/tex]
(a)
P(both Chili's and Red lobster),
= [tex]\frac{b}{a+b+c+d}[/tex]
= [tex]\frac{2}{23}[/tex]
(b)
P(only chili's),
= [tex]\frac{a}{a+b+c+d}[/tex]
= [tex]\frac{6}{23}[/tex]
(c)
P(neither),
= [tex]\frac{d}{a+b+c+d}[/tex]
= [tex]\frac{5}{23}[/tex]
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Related Questions
London bought snacks for her team's practice. She bought a bag of apples for $2.25
and a 18-pack of juice bottles. The total cost before tax was $9.63. Write and solve an
equation which can be used to determine j, how much each bottle of juice costs?
Answers
Answer:
9.63 - 2.25 = 18j
j = 0.41
Step-by-step explanation:
first you set the equation equal to 18 since you want to find out what each bottle of juice costs.
= 18j
if the total cost was 9.63 you need to subtract 2.25 form it to find out how much the 18-pack of juice bottles was. so you set 9.63 - 2.25 equal to 18j
9.63 - 2.25 = 18j
7.38 = 18j
0.41 = j
Check your work:
9.63 - 2.25 = 18(0.41)
7.38 = 7.38 true!
hope this helps! if you have any questions, let me know!
On the set of axes below, solve the following system of equations graphically and state the coordinates of all points in the solution set.
Answers
X1=-2 and x2=1
You would just need to plug the first y equation value into the 2nd equation to get what I got in the photo. Then solve for the x’s to get the coordinates.
Which point on the number line shows the graph of
Answers
Answer:
point E
Step-by-step explanation:
it lies after 1 and before two and 1.6 bar is after 1 and before 2
I need to know the answer ASAP
Answers
Answer:
Step-by-step explanation:
Simplify the exponential expression -8 squared
Answers
Example: 4 squared= 4x4 which is 16
Answer:
-64
Step-by-step explanation:
-8^2
-8( -8)
=-64
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!
12. The coordinate grid below represents a town.
a. Curtis's house is at (-4, -6) and Jean's house is at (-4, 3). Plot the plots where Curtis's house and Jean's house are located.
b. Each unit on the grid represents 1 mile. If Curtis can ride his bike at a constant rate of 12 miles per hour, how long would it take Curtis to ride from his house to Jean's house?
THIS IS NOT MULTIPLE CHOICE!!!
Answers
We are given:
Coordinates of Curtis's house: (-4, -6)
Coordinates of Jean's house: (-4, 3)
a) Plotting these points:
in the given coordinates, the first number is called the abscissa and denotes the x-coordinate of the point.
the second number is the ordinate. it denotes the y-coordinate of the point
Plotting Curtis's house:
We will start from the origin (0,0). move 4 units to the left because that's where x = -4 is.
Then, we will move 6 units downwards and mark the point.
The point we just marked is (-4, -6), Curtis's house
Plotting Jean's house:
We will go to x = -4 like we just did when plotting curtis's house
then, we will move 3 units upwards and mark the point.
This point is (-4, 3), Jean's house
b) Time taken by Curtis:
Distance between the points:
distance = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex] (distance formula/Pythagoras' Theorem)
where (x₁, y₁) = (-4, -6) and (x₂, y₂) = (-4, 3)
replacing the values in the formula, we get:
distance = [tex]\sqrt{(-4 - (-4))^2 + (3 - (-6))^2}[/tex]
distance = [tex]\sqrt{(0)^2 + (9)^2}[/tex]
distance = [tex]\sqrt{(9)^2}[/tex] = 9 units
since each unit on the grid represents one mile,
distance = 9 miles
speed of Curtis = 12 miles/hour
we know that speed is just (distance covered)/(time taken)
speed = (distance covered)/(time taken)
replacing known values
12 = 9 / time
12 * time = 9 [multiplying both sides by time]
time = 9/12 [dividing both sides by 12]
time = 3/4 hours
time = 0.75 hours OR 45 minutes
9514 1404 393
Answer:
a) see attached
b) 3/4 hour (45 minutes)
Step-by-step explanation:
a) The attached graph shows the points plotted.
__
b) The points lie on the same vertical line. The distance between them is the difference of their y-coordinates: 3 -(-6) = 9 (miles).
The time is related to distance and speed by ...
time = distance/speed
time = (9 mi)/(12 mi/h) = 9/12 h = 3/4 h
It would take Curtis 3/4 hour to ride from his house to Jean's house.
n eight-sided die, which may or may not be a fair die, has four colors on it; you have been tossing the die for an hour and have recorded the color rolled for each toss. What is the probability you will roll a blue on your next toss of the die
Answers
Answer:
The answer is "21%".
Step-by-step explanation:
[tex]\to 26 + 20 + 29 + 49 = 124\\\\=\frac{26\ \text{brown times}}{124 \ \text{total times}} \\\\= \frac{26}{ 124} \\\\ = 0.209677 \\\\[/tex]
Calculating the percentage:
[tex]= 20.9677 \times 100\\\\=20.9677\% \approx 21\%[/tex]
Player Productions theatre finds that their ticket sales for Friday night performances (number of tickets sold) is given by the function h , where h ( t ) measures the number of tickets sold, and where t is the play length (measured in hours). Regal Theatre found that their ticket sales for Friday nights performances can be modeled by the function, g , where g (t)= 1.6h(t + 0.25).
Required:
How do the ticket sales for Friday night perfomances at Player Productions compare to the ticket sales for a Friday night perfomance at Regal Theatre?
Answers
Answer:
Regal Theatre makes 1.6 times more than Player Productions when they have 0.25 hours longer productions
Step-by-step explanation:
Given
[tex]h(t) \to[/tex] player production theatre
[tex]g(t) \to[/tex] regal theatre
Where:
[tex]g(t) = 1.6h(t + 0.25)[/tex]
Required
Compare both functions
We start from the bracket
[tex]t + 0.25[/tex]
The + in [tex]t + 0.25[/tex] means longer hours of production
So:
[tex]t + 0.25[/tex] means 0.25 hours longer that player productions
[tex]g(t) = 1.6h(t + 0.25)[/tex] can be rewritten as:
[tex]g(t) = 1.6 * h(t + 0.25)[/tex]
The above means 1.6 times player production when they have 0.25 longer hours.
Question
Tony has only $20 bills and $5 bills in his wallet. If he has 12 bills that add up to a total of $210, how many of each type of
bill does Tony have?
Answers
Answer:
10 $20 dollar bills, and 2 $5 dollar bills
Really, you could say that he has 9 twenties, and 4 fives, but that would be impractical.
HELP ASAP PIC IS BELOW!!!
Answers
Answer:
55°
Step-by-step explanation:
Vertical angles are similar
Answered by GAUTHMATH
Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components . From the shipment you take a random sample of 25. When sampling with replacement (so that the p = probability of success does not change), note that a success in this case is selecting a defective part. The standard deviation of this situation is?
Answers
Answer:
The standard deviation for the number of defective parts in the sample is 1.88.
Step-by-step explanation:
The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
68 defective out of 400:
This means that [tex]p = \frac{68}{400} = 0.17[/tex]
From the shipment you take a random sample of 25.
This means that [tex]n = 25[/tex]
Standard deviation for the number of defective parts in the sample:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{25*0.17*0.83} = 1.88[/tex]
The standard deviation for the number of defective parts in the sample is 1.88.
The standard deviation of the situation is 1.88
The proportion of success is calculated as:
[tex]p = \frac xn[/tex]
So, we have:
[tex]p = \frac {68}{68 + 332}[/tex]
[tex]p = 0.17[/tex]
The standard deviation is then calculated as:
[tex]\sigma= \sqrt{np(1-p)}[/tex]
For a shipment of a random sample of 25, we have:
[tex]\sigma= \sqrt{25 * 0.17 * (1-0.17)}[/tex]
Evaluate the product
[tex]\sigma= \sqrt{3.5275}[/tex]
Evaluate the root
[tex]\sigma= 1.88[/tex]
Hence, the standard deviation of the situation is 1.88
Read more about standard deviation at:
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find the mean deviation about mean for rhe following data 3,9, 5, 3, 12, 10, 18, 4, 7, 19, 21
Class 11th
Answers
Answer:
10.1(approx)
Step-by-step explanation:
3+9+5+3+12+10+18+4+7+19+21/11
=111/11=10.09/10.1(approx )
SEE IMAGE FOR SOLUTION.
HOPE IT HELPS.
HAVE A GREAT DAY
The volume of a cylinder varies jointly with the square of its radius and with its height: V=kr2h
Cylinder A has a volume of 254.34 cubic inches and has a radius of 3 inches and a height of 9 inches. What is the volume of cylinder B, which has a radius of 4 inches and a height of 5 inches?
Answers
Answer:
v = pi x r^2 x h
3.14 x 16 x 5 =251.2
hope that answers your question
A photography store develops 320 pictures on Monday, 564 on Tuesday, 281 on Wednesday, and 473
on Thursday. If the store typically averages at least 420 pictures daily, how many pictures would need to
be developed on Friday?
Answers
Answer:
462 pictures
Step-by-step explanation:
Average (mean) is calculated by adding up all the values and dividing by how many values there are, therefore to have an average 420 pictures daily, the sum of the 5 days must be: 5x420 = 2100
The current sum is: 320 + 564 + 281 + 473 = 1638
Therefore the number for Friday is 2100 - 1638 = 462 pictures.
Hope this helped!
Find the value of z.
a.95 b.110 c.140 d. 100
Answers
Answer:
110
Step-by-step explanation:
2x + 15 = ((10x+20)-80)/24x + 30 = 10x - 6030 = 6x - 6090 = 6xx = 15So, 10x+20=170.
As the circumference of a circle is 360°, z is equal to 110.
find the missing side round to the nearest tenth
Answers
Answer:
x=7.23
Step-by-step explanation:
Brainliest please
Luis was worried about his Spanish final exam grade. The test had 200 questions, and he got
175 of them correct. His sister Marina took her French final exam, and she got 130 out of 150
questions. Who got the better percent score (round to the nearest tenths)?
Answers
Answer:
Luis:
[tex] \frac{175}{200} \times 100\% = 87.5\%[/tex]
Marina:
[tex] \frac{130}{150} \times 100\% = 86.6\%[/tex]
Answer: Marina got the better percent score than Luis
Marina:
Write the expression as a trinomial: (y+7)(y-11). You want to make the expression into trynomial form, not simplified it
Answers
Answer:
y² - 4y - 77
Step-by-step explanation:
(y+7)(y-11)
y² - 11y + 7y - 77
y² - 4y - 77
find the value of the trigonometric ratio. make sure to simplify the fraction if needed
Answers
Answer:
12/5
Step-by-step explanation:
since we are dealing with the angle at Z, we consider Z also to be the center of a circle.
then 10 is the radius of this circle.
24 is tan Z in this circle with radius 10.
tan Z in the standard circle with radius 1 is simply 1/10 of the tan Z in the circle with radius 10.
so, tan Z = 24/10 = 12/5
Drag the tiles to the correct boxes to complete the pairs.
Match each given domain of the function f(I):
with its corresponding range.
{40, 45, 50, 55, 60)
{52, 56, 63, 67, 71}
{37, 46, 49, 55, 57)
{44, 51, 59, 66, 73}
Range
Domain
{20.8, 22.4. 25.2, 26.8, 28.4) <
{16, 18, 20, 22, 24)
(17.6, 20.4, 23.6, 26.4, 29.2)
(14.8, 18.4, 19.6, 22, 22.8)
Answers
(40, 45, 50, 55, 60) to (16, 18, 20, 22, 24)
{52, 56, 63, 67, 71} to {20.8, 22.4. 25.2, 26.8, 28.4}
{37, 46, 49, 55, 57} to (17.6, 20.4, 23.6, 26.4, 29.2)
{44, 51, 59, 66, 73} to (14.8, 18.4, 19.6, 22, 22.8)
Domain is the set of all values for which the function is defined. Range is the set of value inside the domain function.
The ranges and domain functions are given which needs to be matched correctly.
This also referred to as input and output function which will create a range and domain function.
Learn more at https://brainly.com/question/24378415
Answer:
I did the test and got this so just change these two and it will be correct
Step-by-step explanation:
I did test on edmentum/PLATO
chứng minh các hàm số sau là liên tục tại mọi điểm x thuộc R
a. f(x) = 6x+3
b. f(x) = mx+b
c. hãy nêu ý nghĩa của hàm liên tục trong kinh tế? trình bày một vài ví dụ minh họa
Answers
Answer:
c. hãy nêu ý nghĩa của hàm liên tục trong kinh tế? trình bày một vài ví dụ minh họa
Step-by-step explanation:
:)
find the missing side round to the nearest tenth
Answers
Answer:
23.6
Step-by-step explanation:
cos38=x/30
x= 30cos38= 23.6 (nearest tenth)
An art teacher has 60 1/2 pounds of clay and 25 students. Each student will get an equal amount of clay. How much clay does each
student get? Write the answer as a mixed number.
Answers
Answer:
60.5/25
2 21/50
Step-by-step explanation:
60.5/25
Equals
2 21/50
some1 help please :) dont answer if u are not 100% sure thank you
Answers
Answer:
Step-by-step explanation:
It's never negative.
D is indeed correct, the function's values never go below 0, meaning never below the x-axis
The line perpendicular to y=3/4x+7 containing (3,-4)
Answers
Answer:
y = - [tex]\frac{4}{3}[/tex] x
Step-by-step explanation:
1). [tex]y_{1}[/tex] = [tex]m_{1}[/tex] [tex]x_{1}[/tex] + [tex]b_{1}[/tex]
[tex]y_{2}[/tex] = [tex]m_{2}[/tex] [tex]x_{2}[/tex] + [tex]b_{2}[/tex]
[tex]y_{1}[/tex] ⊥ [tex]y_{2}[/tex] if [tex]m_{2}[/tex] = - [tex]\frac{1}{m_{1} }[/tex]
2). ( [tex]x_{3}[/tex] , [tex]y_{3}[/tex] )
y - [tex]y_{3}[/tex] = m( x - [tex]x_{3}[/tex] )
~~~~~~~~~~~~~~~~~~
y = [tex]\frac{3}{4}[/tex] x + 7
[tex]m_{1}[/tex] = [tex]\frac{3}{4}[/tex]
[tex]m_{2}[/tex] = - [tex]\frac{4}{3}[/tex]
( 3, - 4 )
y - ( - 4) = - [tex]\frac{4}{3}[/tex] ( x - 3 )
y + 4 = - [tex]\frac{4}{3}[/tex] x + 4
y = - [tex]\frac{4}{3}[/tex] x
Please help urgently
Answers
Explanation:
Prove that triangle PQS is congruent to triangle RSQ
PS = QR (given)
PQ = RS (given)
Angle PQS = Angle QSA
Therefore, triangle PQS and triangle QSA is congruent (SAS).
if I have to add 97 oz of algaecide to 10,000 gallons of water how much should I add if I only have 200 gallons of water
Answers
Answer:
1.94 oz
Step-by-step explanation:
x/97 = 200/10000
97*200 = 10,000x
19400 = 10,000x
1.94 oz
You can also do it this way:
200/10000 = 0.02
0.02 * 97 = 1.94
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
construct a rectangle PQRS, In which AB= 8cm and diagonal AC= 10cm
Answers
A rectangle can be constructed using a straightedge, and a setsquare or compass
Please find attached the drawing of rectangle ABCD
The steps to construct the rectangle ABCD are as follows:
Question:
The missing part of the question is the name of the rectangle = ABCD
The given parameters are;
The length of the side AB = 8 cm
The length of the diagonal of the rectangle ABCD = AC = 10 cm
The steps to construct a rectangle are;
Draw the segment [tex]\overline{AB}[/tex] = 8 cm on a planeDraw perpendicular lines at points A and B with length h given by Pythagoras's theorem as followsh² = [tex]\overline{AC}[/tex]² - [tex]\overline{AB}[/tex]²
∴ h² = 10² - 8² = 36
h = √36 = 6
h = 6 cm = The length of the sides [tex]\mathbf{\overline{AD}}[/tex] and [tex]\mathbf{\overline{CB}}[/tex]
Draw arcs with radius 6 cm from points A and B to intersect the perpendicular lines drawn from points A and B on the same side of the line [tex]\overline{AB}[/tex] at points D and CJoint point C to D with a straight line which is segment [tex]\overline{CD}[/tex] and which completes the rectangle ABCDLearn more about the construction of basic shapes here;
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A stub function is:__________.
A) A short function
B) A function that has been unit tested
C) A function that acts as a placeholder and returns a simple value so another function can be tested
D) A function that is broken down into smaller steps through step-wise refinement
Answers
Answer: c. A function that acts as a placeholder and returns a simple value so another function can be tested.
Step-by-step explanation:
A stub simply means a function which has an expected signature but has an incomplete implementation. It is put in place in order for codes to be tested before the functions are fully written.
A stub is a function that acts as a placeholder and returns a simple value so another function can be tested. Therefore, the correct option is C.
find the probability of rolling a sum of a three first and then a sum of nine when a pair of dice is rolled twice
Answers
Answer:
Step-by-step explanation:
favorable events for a sum of 3 are 12,21
P(sum 3)=2/36=1/18
favorable events for a sum of 9 are 36,63,45,54
P(sum of 9)=9/36=1/4
