Answer:
what
Step-by-step explanation:
Find the slope between points (4,-5) and (5,-1)
Answer:
4
Step-by-step explanation: You have to do y-y over x-x. So -1 minus-5 which equals 4. Then 5 minus 4 which equals 1. So you divide the answers you got 4÷1=4
Consider the following probability distribution function of the random variable X which represents the number of people in a group (party) at a restaurant: X P(X) 1 0.10 2 0.25 3 0.20 4 0.20 5 0.10 6 7 0.05 8 0.05 a. Find the population mean of X. b. Find the population variance and standard deviation of X. c. Find the probability that the next party will be over 4 people. d. Find the probability that the next three parties (assuming independence) will each be over 4 people.
Answer:
(a) 3.55
(b) 3.45 and 1.86
(c) 0.25
(d) 0.016
Step-by-step explanation:
The random variable X denotes the number of people in a group (party) at a restaurant.
(a)
The formula to compute the mean is:
[tex]\mu=\sum {x\cdot P(X=x)}[/tex]
Consider the Excel sheet attached.
The mean is, 3.55.
(b)
The formula to compute the variance is:
[tex]\sigma^{2}=[\sum {x^{2}\cdot P(X=x)}]-(\mu)^{2}[/tex]
Consider the Excel sheet attached.
Compute the variance as follows:
[tex]\sigma^{2}=[\sum {x^{2}\cdot P(X=x)}]-(\mu)^{2}\\\\=16.05-(3.55)^{2}\\\\=3.4475\\\\\approx 3.45[/tex]
The variance is, 3.45.
Compute the standard deviation as follows:
[tex]\sigma=\sqrt{\sigma^{2}}\\\\=\sqrt{3.45}\\\\=1.85742\\\\\approx 1.86[/tex]
The standard deviation is, 1.86.
(c)
Compute the probability that the next party will be over 4 people as follows:
[tex]P(X>4)=P(X=5)+P(X=6)+P(X=7)+P(X=8)\\\\=0.10+0.05+0.05+0.05\\\\=0.25[/tex]
Thus, the probability that the next party will be over 4 people is 0.25.
(d)
Compute the probability that the next three parties will each be over 4 people as follows:
It is provided that the three parties are independent.
P (Next 3 parties will be each over 4) = [P (X > 4)]³
[tex]=(0.25)^{3}\\=0.015625\\\approx 0.016[/tex]
Thus, the probability that the next three parties will each be over 4 people is 0.016.
12) Erica has three more dimes than nickels in her pocket, for a total of $1.50. If x represents the number of
nickels, write and solve. State the numbers of nickels and dimes that Erica has.
Answer: 8 nickles 11 dimes
Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT
whats 8% as a fraction and a decimal
Answer:
0.8 HOPE IT HELPS
Step-by-step explanation:
The critical path for a project was found to be 37 days. The variances total 27. What is probability of completing in 43 days? Below is information that might be useful to answer the question. Answer to 2 decimal points
Answer:
0.1241.
Step-by-step explanation:
So, from the question we are given the following parameters or information or data which are going to help us in solving this particular question/problem. They are; [1]. The critical path for a project = 37 days, the variances total or variance of critical path or sum of variance on critical path]². = 27, the desired completion time/day = 43 days.
So, we will be making use of the formula given below;
The number of standard deviation = desired completion time/day - critical time or sum of critical path times ÷√[variance of critical path or sum of variance on critical path]².
The number of standard deviation = 43 - 37 ÷ √27 = 1.1547.
Thus, the probability of completing in 43 days = P(Z > 1.1547) = 0.1241.
Mrs. Schmidt overlooked a bill and
had to pay a $15.00 late fee. The
total of the bill and the late fee
was $90.00. About what percent
of the grand total was the late fee?
Answer:
Step-by-step explanation:
It's besacilly asking what percentage of 90 is 15
15/90 is equal to 1/6
1/6 is about 16.67
Answer:
Step-by-step explanation:
Graph of a Rational Function
A car drives along a test track of 200 meters.
Let x= the average speed of the car in meters per second.
Let y=the time it takes to travel the length of the track in seconds.
A pair of jeans was 30% off the original price. The sale resulted in $24 discount.
Answer:
$80 is the 100% original price
The sale price is $56 with 30% off and $24 in savings.
Step-by-step explanation:
We can write a proportion. We know that $24 is a 30% off discount of an unknown original price. Let's call it x. We write equal ratios of comparing percent and comparing the 24 to the original price. We then set them equal.
We then cross multiply across the equal sign from numerator to the opposite numerator.
30(x)=24(100)
30x=2400
We divide to find x.
x=80.
Since we saved $24 as a discount, the sale price would be 80-24=56.
What is the answer 17 divided by 5177 equals
Answer to How much is 5177 divided by 17 using long division ?
Math answers to fraction 5177 divided by 17 can be calculated as follows.
5177/17 math problems division = 304.529411765. Therefore 304.529411765 to 2 decimal places= 304.53
5177/17 divided by 2 » (5177/17) ÷ 2 » 304.529411765 ÷ 2 = 152.264705882
Point V is on line segment UW. Given VW = 5x - 4, UV = 2x, and
UW = 52, determine the numerical length of VW.
Answer:
VW = 36
Step-by-step explanation:
From the question, we are given:
VW = 5x - 4, UV = 2x,
UW = 52
Hence,
UV + VW= UW
2x + 5x - 4 = 52
7x = 52 + 4
7x = 56
x = 56/7
x = 8
VW = 5x - 4,
VW = 5(8) - 4
VW = 40 - 4
VW = 36
Which equation represents the line that passes through the
points (2,7) and (1, 4)?
Answer:
y=3x+1
Step-by-step explanation:
Use the slope formula and slope-intercept form y = m x + b to find the equation.
Answer:
(-4,3),(2,-12)
slope = (-12 - 3) / (2 - (-4) = -15/6
Step-by-step explanation:
y = mx + b
slope(m) = -15/6
use either of ur points...(-4,3)...x = -4 and y = 3
now we sub into the formula and find b, the y int
3 = -15/6(-4) + b
3 = 10 + b
3 - 10 = b
-7 = b
so ur equation is : y = -15/6x - 7....but we need it in standard form
y = -15/6x - 7...add 15/6 to both sides
15/6x + y = -7...multiply both sides by 6
15x + 6y = -42....which reduces to 5x + 2y = - 14 <===
Answer quick please
Answer:
18
Step-by-step explanation:
3 3/8 becomes 27/8.
27/8 x 16/3=18
You have to flip 3/16 since you are dividing.
Answer:18
Step-by-step explanation:
3 3/8 devided by 3/16=18
Wite the number
in standered form 80+9=
Answer:
89
eighty-nine
Find the measure of the missing angle
Answer:
M1=108° M2=72°
Step-by-step explanation:
M1 and the original 108° angle are equal, and to calculate M2, which is on the same straight line as the original 108°, we must remember that all angles on a straight line add up to 180°. So, 180-108=72, making M2 72°
To find the quotient Two-fifths divided by one-fourth,
multiply Two-fifths by 4.
multiply Two-fifths by One-fourth.
multiply Five-halves by One-fourth.
multiply Five-halves by 4.
Answer:
above is right
Step-by-step explanation:
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used Match the rates with their equivalent unit rates. Not all tiles will be used. Will give brainlyest if correct. Need answers ASAP.
Answer:
6,5,4,7,8
Step-by-step explanation:
Starting from 42/7
Hope this helped!
Find an invertible matrix P and a matrix C of the form such that the matrix A has the form A. The eigenvalues of A are and with corresponding eigenvectors and .
Answer:
Hello your question is incomplete attached below is the correct question
and the solution
answer: A
Step-by-step explanation:
attached below is a detailed solution of the given problem
There exists P and C such that ( ∵ λ1 ≠ λ21 so A is diagonalizable )
Please help with this easy fraction problem <3
18 + 7/9
14 + 7/8
First, rewrite each fraction in terms of a common denominator. 8 and 9 don't share a common multiple until 8 * 9 = 72, so we have
7/9 = (7/9) • (8/8) = (7 • 8)/(9 • 8) = 56/72
7/8 = (7/8) • (9/9) = (7 • 9)/(8 • 9) = 63/72
Next, write each whole number in terms of fractions with the same denominator. We have
18 • 72 = 1296 ==> 18 = 1296/72
14 • 72 = 1008 ==> 14 = 1008/72
Write each mixed number as an improper fraction:
18 + 7/9 = 1296/72 + 56/72 = (1296 + 56)/72 = 1352/72
14 + 7/8 = 1008/72 + 63/72 = (1008 + 63)/72 = 1071/72
If the backpack and book together weigh 18 + 7/9 pounds, and the backpack without the book weighs 14 + 7/8 pounds, then the book alone weighs the difference, call it b :
b = (18 + 7/9) - (14 + 7/8)
b = 1352/72 - 1071/72
b = (1352 - 1071)/72
b = 281/72
Convert this to a mixed number. 72 • 4 = 288, so 72 • 4 - 7 = 281:
b = (72 • 4 - 7)/72
b = (72 • 4)/72 - 7/72
b = 4 - 7/72
b = (3 + 1) - 7/72
b = 3 + (1 - 7/72)
b = 3 + 65/72
Three students spent $12 on school lunch. At that rate, find the amount 10 students would spend on the same school lunch.
divide and answer in simplest form: 1/3 divided by 5
Answer:
1/15
Step-by-step explanation:
1. You can divide 1/3 by 5 by changing the division symbol to its reciprocal, multiplication, and also divide by the reciprocal of the number after the symbol, 5. The reciprocal of 5 is 1/5.
2. Now you can do 1/3 multiplied by 1/5. Multiply the numerators by the denominators. The numerators are 1 and 1, so you multiply 1 by 1 which equals 1. Now you multiply the denominators, 3 and 5, which is equal to 15. If the numerator is now 1, and the denominator is 15, the new fraction is 1/15, getting you to your answer
-30 +5=
solve and explain
Answer:
-25
Step-by-step explanation:
-25 because a positive and a negative equals a negative and if you subtract those to number it equal -25 ( it also gets closer to zero so it's not in the positives yet!)
Answer:
-30 + 5 = -25
Step-by-step explanation:
30 - 5 = 25
so
-30 + 5 = 25
help me please !!!!!!!
Answer:
I don't see the screenshot and i'm not going to download it...
Step-by-step explanation:
yikes
Looking around in your own country, discuss two practical applications in which “piecewise functions” are used either explicitly or implicitly
Answer:
Piecewise functions are functions that behave differently in different regions of the domain.
One example that you may see in your city is the case of the street illumination, such that can be modeled as:
x = time
Suppose that the lights are turned on at a given hour x0 and then turn off at the hour x1, we can define:
f(x) = 0 if x1 < x < x0
f(x) = 1 if x0 ≤ x ≤ x1
Where f(x) represents the intensity of the light at the time x.
Between x1 and x0, the lights are not working, so the illumination that they provide is zero.
Between x0 and x1 the lights are turned on, so the illumination is 1.
Another example can be the accurate description of the velocity of a car as a function of time.
For some pieces, the car will be stopped (maybe in a red light)
For some pieces, the car will be moving slow (maybe there is a lot of traffic)
For some pieces, the car will be moving fast or accelerating (in an empty street).
So we can define this motion as a piecewise function that obviously will depend on how the car moves.
The diagram below represents the measurements of Jennie’s yard. The yard’s width is x feet shorter than its length. If the area of the yard is 540 square feet, how many feet shorter than the length is the width?
Answer:
C 30(30 – x) = 540
Step-by-step explanation:
I did it on edg
Answer:
3) 30(30-x)=540
Step-by-step explanation:
answer on edge
Susan drove to visit a friend. She drove 345
miles in 5 hours and 45 minutes. What was her
average speed, to the nearest tenth of a mile per
hour?
Answer:
[tex]Average\ Speed = 60 mi/hr[/tex]
Step-by-step explanation:
Given
[tex]Distance = 345\ miles[/tex]
[tex]Time = 5\ hours\ 45\ minutes[/tex]
Required
Determine the average speed
This is calculated as thus:
[tex]Average\ Speed = \frac{Distance}{Time}[/tex]
Convert time to hour:
[tex]Time = 5\ hours\ 45\ minutes[/tex]
[tex]Time = 5\ hours + \frac{45}{60}\ hour[/tex]
[tex]Time = 5\ hours + \frac{3}{4}\ hour[/tex]
[tex]Time = \frac{20 + 3}{4}\ hours[/tex]
[tex]Time = \frac{23}{4}\ hours[/tex]
[tex]Time = 5.75\ hours[/tex]
[tex]Average\ Speed = \frac{Distance}{Time}[/tex]
[tex]Average\ Speed = \frac{345}{5.75}[/tex]
[tex]Average\ Speed = 60 mi/hr[/tex]
what is equal to the value of |-28|? *
Answer:
0 - 28 = -28
Step-by-step explanation:
To find a negative number, you can always just take 0, and subtract the positive version of the negative number from 0.
Solve |x – 4| + 6 = 13.
A. x = 11 and x = -3
B. x = -11 and x = -3
C. x = 11 and x = -11
D. x = -11 and x = 3
Apex?
The volume of a cone is 84pi cubic inches. If the radius of the cone is 6 inches determine its height
Answer:
7 inches
Step-by-step explanation:
Given
Shape: Cone
[tex]Volume = 84\pi in^3[/tex]
[tex]Radius = 6in[/tex]
Required
Determine the height
Volume of a cone is:
[tex]V = \frac{1}{3}\pi r^2h[/tex]
Substitute values for volume and radius
[tex]84\pi = \frac{1}{3}\pi * 6^2 * h[/tex]
[tex]84\pi = \frac{1}{3}\pi * 36 * h[/tex]
[tex]84\pi = \frac{36}{3}\pi* h[/tex]
[tex]84\pi = 12\pi* h[/tex]
Solve for h
[tex]h = \frac{84\pi}{12\pi}[/tex]
[tex]h = 7[/tex]
Hence:
The height is 7 inches
What is the largest integer less than 15?
F. 6
G. 5
H. 4
J. 3
K. 2
Answer:
isn't it just 6
Step-by-step explanation:
The largest integer less Than 15 according to the options given is 6.
Integer are real numbers which are expressed as whole numbers.
From the options given, since all the values are integers, then the appropriate answer will be the largest of the integer values.
The largest value is 6.
Hence, 6 is the appropriate answer.
Learn more : https://brainly.com/question/24487999
PLSSSSS HELPPP I WILLL GIVEEE BRAINLIEST!!!!!!!!
Answer:
x = y/ 4 + 3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps :)
