Answer:
0.45 = 45% probability that the member uses the golf course but not the tennis courts
Step-by-step explanation:
I am going to solve this question using the events as Venn sets.
I am going to say that:
Event A: Uses the golf courses.
Event B: Uses the tennis courts.
5% use neither of these facilities.
This means that [tex]P(A \cup B) = 1 - 0.05 = 0.95[/tex]
75% use the golf course, 50% use the tennis courts
This means, respectively, by:
[tex]P(A) = 0.75, P(B) = 0.5[/tex]
Probability that a member uses both:
This is [tex]P(A \cap B)[/tex]. We have that:
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B)[/tex]
So
[tex]P(A \cap B) = 0.75 + 0.5 - 0.95 = 0.3[/tex]
What is the probability that the member uses the golf course but not the tennis courts?
This is [tex]P(A - B)[/tex], which is given by:
[tex]P(A - B) = P(A) - P(A \cap B)[/tex]
So
[tex]P(A - B) = 0.75 - 0.3 = 0.45[/tex]
0.45 = 45% probability that the member uses the golf course but not the tennis courts
What is the equation of the line in the slope intercept form?
Answer:
y = mx+b is the equation for slope-intercept form
Step-by-step explanation:
m=slope
x=independent variable
y= y-intercept
Answer:
y=-2x
Step-by-step explanation:
A recipe for slime calls for 1/2 cup water and 1/4 cup glue. what is the total amount of liquid need to the recipe?
Answer:
3/4 is the answer.
Which table shows a linear relationship
Answer:
B
Step-by-step explanation:
Can someone please help!!!
Answer:
I think is the 3rd one but I am not sure
f(x)=3x(x^2+4x-5) evaluate f(-2)
Answer:
f(-2) = 54
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
f(x) = 3x(x² + 4x - 5)
f(-2) is x = -2
Step 2: Evaluate
Substitute in x [Function]: f(-2) = 3(-2)[(-2)² + 4(-2) - 5][Brackets] Evaluate exponents: f(-2) = 3(-2)[4 + 4(-2) - 5][Brackets] Multiply: f(-2) = 3(-2)[4 - 8 - 5][Brackets] Subtract: f(-2) = 3(-2)[-4 - 5][Brackets] Subtract: f(-2) = 3(-2)(-9)Multiply: f(-2) = -6(-9)Multiply: f(-2) = 54Pleaseeeeeeee help me on thissssss i need helpppppp
Rashads teacher buys paperback books for her classroom library. Each book costs $6, and she spends a total of $150. Which equation models the number of books, n, she buys? A. 6n=150 B. n/6=150 C.150-n=6 D. 6•150=n
Answer:
A
Step-by-step explanation:
6n=150
HELPPP PLEASE WILL GIVE BRAINLIEST
What is the value of
-3x(7+(-3^2))/3
A. 13
B. -2
C. -16
D. -48
Find the area of the triange below
units given are cm, cm^2, cm^3
Answer:
[tex]A=150\ cm^2[/tex]
Step-by-step explanation:
The Hypotenuse of triangle, H = 25 cm
Base = 15 cm
Height = 20 cm
We need to find the area of the triangle. The area of a right-angled triangle is given by :
[tex]A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 15\times 20\\A=150\ cm^2[/tex]
So, the area of the triangle is equal to [tex]150\ cm^2[/tex].
PLESSS PLESS PLESSSSSSS I BEG OF YOU TEACH ME HOW TO DO THISSSS I BEGG I WILL GIVE BRAINYLIST TO ANYONE WHO ANSWERS PLESS I CRY FOR YOU HELP AND BEGGG TOO
Answer:
x=6.54
Step-by-step explanation:
Start off by cross multiplying what you are given ;)
6*109=654
Since you are solving for the missing variable x divide 654/100
The final answer will be 6.54
Hope this helps if not just reply so I can better explain
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
Answer:
Step-by-step explanation:
Yes
Answer:
it's no
Step-by-step explanation:
6 = 5(2) - 4
7 = -1/2(2) + 8
they don't meet at (2,6)
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer: 15 inches
Step-by-step explanation:if 6 units is 10 cm than half of that is 5 so add those together and BOOMM 15 ur welcome
Which coupon is a better deal? 15℅ off of $75 shoes or $15 off of $75 shoes? Please show your work
Answer:
15 dollars off of 75 is better
Step-by-step explanation:
75 multiplied by 1.5 is only 11 dollars
pls answer this if you do I mark brainlest
Answer:
268
Step-by-step explanation:
2×(10×8 + 10×3 + 8×3) = 268 yards
Answer:
[tex]268yd^2[/tex]
Step-by-step explanation:
The Surface Area formula for a rectangular prism is:
[tex]2(wl+hl+hw)[/tex]
where w is the width, h is the height, and l is the length.
Plug each value into the formula and solve:
[tex]2(8*10+3*10+3*8)=268yd^2[/tex]
If this helped, a brainliest answer would be greatly appreciated!
i just need the bottom one
Answer:
X _> 3
Step-by-step explanation:
6/2 = 2x/2
3 = x
x = 3
hehe lol? math math math
Answer:
lol
Step-by-step explanation:
Answer:
math kinda sucks. :) Brainliest pls???
Step-by-step explanation:
Use calculus to evaluate (lhopitals rule)
lim x>infinity x^2 - ln(2/x)/3x^2 + 2x
Answer:
1/3
Step-by-step explanation:
[tex][x^2 - ln(2/x)]/[3x^2 + 2x]\\[/tex]
∞/∞
[tex]\frac{d}{dx}[x^2-ln(2/x)] =2x+\frac{1}{x}\\ \frac{d}{dx}[3x^2+2x]=6x+2\\\frac{2x+\frac{1}{x}}{6x+2}[/tex]
Also ∞/∞
[tex]\frac{d}{dx}[2x+\frac{1}{x}]=2-1/x^2\\\frac{d}{dx}[6x+2]=6\\\\[/tex]
[tex]\lim_{x \to \infty} \frac{2-\frac{1}{x^2} }{6}\\=\frac{2}{6} \\=\frac{1}{3}[/tex]
Hi please help I’m like rlly freaking confsuef
Answer:Ok Don't freak out What do you need help with
Step-by-step explanation:
1/2 of 2/2 = ???????????
Answer:
0.5
Step-by-step explanation:
Simplify the expression by combining like terms:
-5y+2y
Answer:
Step-by-step explanation:
You can think of it like adding two regular numbers, but you have to keep the y so:
-5y + 2y = -3y
Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 60 manufacturing companies located in the Southwest. Estimate the mean and the standard deviation of advertising expenses. (Round squared deviations to nearest whole number and final answers to 2 decimal places.) Advertising Expenditure ($ millions) Number of Companies 25 up to 35 5 35 up to 45 10 45 up to 55 21 55 up to 65 16 65 up to 75 8 Total 60
Mean
Standard deviation
The estimated mean of advertising expenses is $52 million, and the estimated standard deviation is $11.23 million.
To estimate the mean and standard deviation of advertising expenses, we need to calculate the midpoint of each class interval, the product of the midpoint and the frequency, and the squared deviation from the mean.
Here's a table to organize the calculations:
Class Interval (x) Frequency (f) Midpoint (x) fx
25 up to 35 5 30 150
35 up to 45 10 40 400
45 up to 55 21 50 1,050
55 up to 65 16 60 960
65 up to 75 8 70 560
To calculate the mean, we need to find the sum of the products of the midpoint and the frequency, divided by the total frequency.
Mean = (fx) / Total Frequency
Mean = (150 + 400 + 1,050 + 960 + 560) / 60
Mean = 3,120 / 60
Mean = 52
Calculate the squared deviation from the mean for each class interval.
(x - mean)² × f
(30 - 52)² × 5 = 484 × 5 = 2,420
(40 - 52)² × 10 = 144 × 10 = 1,440
(50 - 52)² × 21 = 4 × 21 = 84
(60 - 52)² × 16 = 64 × 16 = 1,024
(70 - 52)² × 8 = 324 × 8 = 2,592
Calculate the sum of the squared deviations.
Sum of (x - mean)× f = 2,420 + 1,440 + 84 + 1,024 + 2,592
= 7,560
Standard Deviation =√(Sum of (x - mean)² × f / Total Frequency)
Standard Deviation = √(7,560 / 60)
Standard Deviation = √(126)
Standard Deviation = 11.23
Hence, the estimated mean of advertising expenses is approximately $52 million, and the estimated standard deviation is approximately $11.23 million.
To learn more on Statistics click:
https://brainly.com/question/30218856
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Complete question
Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 60 manufacturing companies located in the Southwest. Estimate the mean and the standard deviation of advertising expenses. (Round squared deviations to nearest whole number and final answers to 2 decimal places.)
Advertising Expenditure ($ millions) Number of Companies
25 up to 35 5
35 up to 45 10
45 up to 55 21
55 up to 65 16
65 up to 75 8
Total 60
Use the figure below to determine which of these statements are true? Select All that
apply ,
A < GDR and < GDA are complementary angles.
BCGDC and
C
D.
E
Answer:
A B C F
Step-by-step explanation:
pls answer I'll mark u brainliest urgent
Answer:
a = 110
Please mark as brainliest if answer right
Have a great day, be safe and healthy
Thank u
XD
Answer:
A=110
that is what I think
Someone please help me
11 - 5x + 4x + 2 = 13 - 1x
True or False?
Answer:
True
Step-by-step explanation:
Simplify the left side. Combine like terms (terms with the same amount of variables).
11 + 2 = 13
-5x + 4x = 4x - 5x = -x
-x + 13 = 13 - x (True)
True is your answer.
~
work out the size of angle x 101 degrees and 38 degrees
Answer:
the inside angle beside 101 is 180-101 = 79 degrees.
the angle beside x = 180-(79+38).
that is 63 degrees.
therefore the angle x = 180-63 that's
117 degrees
Ken predicts that the average temperature will be −5°C in December. If he predicts the temperature will rise 6°C in January and fall 3°C in February, which of the following equations can he use to find the sum of the temperatures for those months? Check all that apply.
[6 + 3] + 5 = 14
(–5) + [3 + 6] = –4
[(–5) + (–3)] + 6 = –2
5 + [(–6) + (–3)] = –4
[6 + (–5)] + (–3) = –2
[(–5) + 6 ] + (–3) = 4
Answer:
[(–5) + (–3)] + 6 = –2
[6 + (–5)] + (–3) = –2
Step-by-step explanation:
Look at the image below!
Hoped I helped :3 Sorry if wrong :( Mark brainiest if correct! Your bootiful/handsome! Have a great day luv <3
-Bee~
Answer:
C and E
Step-by-step explanation:
i got it right on edge just now
if kya wins the election she will not be continuing to get in touch with her family/friends and now she has to make a decision to help people in need around the world she is 48 hours to decide if she will go or not she need to week to pack and they leave the day after because she says that yes how long would you have with her family/Friends
Answer:
47 hours?
Step-by-step explanation:
She would have 47 hours lol
If she says yes then she would have enough time to spend with family and then 1 hour to go?
Answer and explain please ill mark brainliest!!!!!!!!
Answer:
Yes, Elias got his food before reaching the potluck.
Step-by-step explanation:
Elias left home at 7:00 one morning, determined to make the ten-mile trip to Leaders on a bicycle. Soon thereafter, Elias' parent noticed he had forgotten his potluck dish on the kitchen table, got into the family car, and tried to catch up with the forgetful child. Elias had a fifteen-minute head start, and was pedaling at 12 mph, while the parent pursued at 30 mph. Was Elias reunited with his potluck food before reaching Leaders that day? If so, where? If not, at what time was the food delivered?
Let's set x as the time after the parent leaves as x (time after the first 15-minute headstart)
When the two meet, it means that the distance is equal. Remember, distance = time * speed.
Using this, we know that Elias had a 15-minute headstart at 12 mph, which means that he had 0.25 of an hour. Thus, Elias had a 0.25 * 12 mile headstart.
We can write this equation for the distance Elias traveled.
0.25 * 12 + 12 * x
And this equation for the distance his parent traveled.
30 * x
These equations need to be equal so that the two meet.
0.25 * 12 + 12 * x = 30 * x
Simplify.
3 + 12x = 30x
Subtract 12x from both sides.
3 = 18x
Divide both sides by 18.
x = 1/6
So, it took 1/6 of an hour, which is 10 minutes, for the parent and Elias to meet.
If Elias were to get the food before he reached the potluck, the distance he traveled (0.25 * 12 + 12 * x) needs to be less than 12.
Plug 1/6 in for x.
0.25 * 12 + 12 * 1/6 =
3 + 2 = 5
Elias traveled 5 miles before his parent met him.
So, Elias did get his food before reaching Leaders.
Just in case, let's double-check this answer.
Using the distance = speed * time formula, we know that time = distance/speed. Elias's parent had to travel 5 miles at 30 mph, so it would have taken 1/6 of an hour to drive 5 miles.
Elias traveled at 12 mph for 1/6 + 1/4 of an hour, so he traveled:
(1/6 + 1/4) * 12 =
(4/24 + 6/24) * 12 =
10/24 * 12 =
120/24 = 5 miles
Thus, the previous answer is right.
I hope this helps! Feel free to ask any questions!
Question 4 (1 point) The half life of Cs-137 is 30.2 years. If the initial mass of the sample is 100kg, how much will remain after 151 years? Leave your answer as a decimal and do not round, Answer = kg Blank 1:
Answer:
3.12 kg.
Step-by-step explanation:
Mass after t years:
The mass of the elements after t years is given by the following equation:
[tex]M(t) = M(0)(1-r)^t[/tex]
In which M(0) is the initial mass and r is the decay rate, as a decimal.
The half life of Cs-137 is 30.2 years.
This means that:
[tex]M(30.2) = 0.5M(0)[/tex]
We use this to find r.
[tex]M(t) = M(0)(1-r)^t[/tex]
[tex]0.5 = M(0)(1-r)^{30.2}[/tex]
[tex](1-r)^{30.2} = 0.5[/tex]
[tex]\sqrt[30.2]{(1-r)^{30.2}} = \sqrt[30.2]{0.5}[/tex]
[tex]1 - r = 0.5^{\frac{1}{30.2}}[/tex]
[tex]1 - r = 0.9773[/tex]
So
[tex]M(t) = M(0)(0.9773)^{t}[/tex]
If the initial mass of the sample is 100kg, how much will remain after 151 years?
This is M(151), with M(0) = 100. So
[tex]M(t) = 100(0.9773)^{t}[/tex]
[tex]M(151) = 100(0.9773)^{151} = 3.12[/tex]
The answer is 3.12 kg.