Answer:
a.0.5984
b.0.2394
c.0
d.13.4
Step-by-step explanation:
We are given that
a=6.3,b=20.5
The pdf of uniform distribution
[tex]f(x)=\frac{1}{b-a}=\frac{1}{20.5-6.3}=0.0704[/tex],6.3<x<20.5
0, otherwise
Now,
a.
P(10.2<x<18.7)=[tex]\int_{10.2}^{18.7}f(x) dx[/tex]
[tex]=0.0704[x]^{18.7}_{10.2}[/tex]
[tex]P(10.2<x<18.7)=0.0704(18.7-10.2)=0.5984[/tex]
b.P(x>17.1)
[tex]P(x>17.1)=\int_{17.1}^{20.5}0.0704dx[/tex]
[tex]=0.0704(20.5-17.1)[/tex]
[tex]=0.2394[/tex]
c.P(x<6.3)=0
d.E[x]=[tex]\frac{a+b}{2}=\frac{6.3+20.5}{2}=13.4[/tex]
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 3 . If there were 4395 total votes, how many yes votes were there?
Answer:
There were 2747 yes votes.
Step-by-step explanation:
This question can be solved using proportions.
The ratio of yes votes to no votes was 5 to 3 .
This means that for each 5 + 3 = 8 votes, 5 were yes and 3 were no.
If there were 4395 total votes, how many yes votes were there?
For each 8 votes, we have 5 yes. How many yes votes were there in 4395 votes?
5 yes - 8 votes
x yes - 4395 votes
8x = 4395*5
x = 4395*5/8
x = 2747
There were 2747 yes votes.
Which point is the reflection of point E across the y-axis what are it’s coordinates ??
Answer:
Point J is the reflection, and the coordinates are (0,-2)
Step-by-step explanation:
Answer:
The reflection of point E across the y-axis is J(-2, 0).
Step-by-step explanation:
!!edmentum answer!!
Find the value of t that makes these two ratios proportional
2t/7= 42/49
Answer:
t= 3
Step-by-step explanation:
on the picture
if it's helpful ❤❤❤❤
THANK YOU
16,80, 400,...
Find the 6th term.
Answer:
Step-by-step explanation:
50,000
I think
Estimate: 23.41 ÷ 3.1
Answer:
The answer is 8
The estimated answer is eight. Here‘s what I did. First, I rounded twenty three and forty-one hundredths to twenty-three. Then I rounded three and one-tenths to three.
I couldn’t quickly find an answer to twenty-three divided by three. So, I used compatible numbers, twenty-four divided by three… which equals eight.
Sherry uses the steps below to solve the equation x + (negative 8) = 3 x + 6.
Step 1 Add 1 negative x-tile to both sides and create zero pairs
Step 2 Add 8 positive unit tiles to both sides and create zero pairs.
Step 3 Divide the 14 unit tiles evenly among the 2 x-tiles.
Step 4 The solution is x = 7
What is Sherry’s error?
In step 1, she should have added 3 negative x-tiles to both sides.
In step 2, she should have added 6 negative unit tiles to both sides.
In step 3, she did not divide the tiles evenly.
In step 4, she should have found the solution x = negative 1.
Step-by-step explanation:
The given equation :
x + (negative 8) = 3 x + 6.
or
x+(-8) = 3x+6
Step 1.
Add (-3x) to both sides of the equation.
x+(-8) + (-3x) = 3x+6 +(-3x)
x-8 = 3x +6
Step 2.
Add 8 positive unit tiles to both sides and create zero pairs.
x-8+8 = 3x +6 +8
x = 3x +14
Step 3.
x-3x = 14
-2x = 14
x = -7
Hence, step 1 is incorrect as she should have added 3 negative x-tiles to both sides.
Answer:
Step 2
Step-by-step explanation:
HELP AGAIN PLSSSSSSSS
Answer:
5x5 = 25
hope this helps (again) :D
Hey would someone help me with my math question ?
Answer:
Store number 1 has the best discount.
Step-by-step explanation:
Find how much of a discount you get from each store. For number 1 you find 30% of $150 by turning the percent to a decimal and multiplying, for number 2 you would subtract 150 - 30, and for number 3 you subtract 150 - 1/5. When all of this is done you get the greatest discount of $45 off from store number 1.
Kelly needs to order lunch for orders 6 people at a business meeting. Her menu choices are chicken salad for a cost of $5 per person and egg salad for a cost of $4 per person. She only has $28 to spend. How many of each type of lunch can she order?
Answer:
She would be able to buy
4 Chicken Salads &
2 Egg Salads
Step-by-step explanation:
4x5=20
leaving 8 dollars
2x4=8
Answer: she will spend 3 orders of chicken salad, and 3 orders of egg salad the total it will be $27.
Step-by-step explanation:
The abscissa of the point (-3, 5) is ________.
A. 0 C. 5
B. -3 D. 1
Answer:
-3
Step-by-step explanation:
Answer:
B -3
Step-by-step explanation:
x- coordinate of a point is called abscissa and y-coordinate is called ordinate.
x-coordinate of point (-3, 5) is -3
Serena is flying to Paris. The plane travels 3,654 miles in 72 1/4 hours from New York to Paris. What
was her
average rate of speed in miles per hour?
Answer:
Step-by-step explanation:
d = 3654 miles
t = 72 1/4 hours = 72.25 hours
r = d / t
r = 3654/72.25
r = 50.57 miles / hour
Which graph does not represent a function?
Answer: B
Step-by-step explanation:
It is.
WILL MARK BRAINLYIST
Answer:
what's the question
Step-by-step explanation:
lol but u could mark me brainlyist
Answer:
.....................................
Step-by-step explanation:
Solve the equation:
- 6n = 2 3/4
Answer:
n= 11/24
Step-by-step explanation:
hope it helps
URGENT!!!! The area of a rectangular floor is 80 square feet. The length of the floor is 2 feet less than the width of the floor.
What is the width of the floor?
Drag the answers into the boxes to correctly complete the statements.
The equation Response area , where w is the width of the floor in feet, can be used to solve this problem. The width of the floor is Response area feet.
Answer:
The width of the floor is 10 ft.
Step-by-step explanation:
First, you have to form expressions of width and length in terms of w. With the given information :
width = w ft
length = (w - 2) ft
Given that the area of rectange is A = length × width so you have to subtitute the expressions and value into the formula :
A = l × w
80 = (w - 2) × w
w(w - 2) = 80
w² - 2w = 80
w² - 2w - 80 = 0
(w + 8)(w - 10) = 0
w + 8 = 0
w = -8 (rejected)
w - 10 = 0
w = 10
Evaluate w + 2w + 1 when w equals 8.
Answer:
25
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
w + 2w + 1
w = 8
Step 2: Evaluate
Substitute in w: 8 + 2(8) + 1Multiply: 8 + 16 + 1Add: 24 + 1Add: 25On the average it takes the factory 4.2 hours to produce 6 truckloads of steel how many truckloads would the factory produce in 7 hours ?
-11f=7(1-2f)+5 solve for f
Answer:
4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
f = 4
Answer:
f = 4
Step-by-step explanation:
I got this answer ON Khan Academy.
Hope this helps! :)
5) Eastwood Middle School wants to paint the football field black, but not the
center.
The diagram below shows the dimensions of the field and center circle.
How much area will they need to paint black?
SHOW ALL WORK
Eastwood's Football Field
30 ft
75 ft
-100 ft-
04674 sq ft
O 706,6 sq ft
7500 sqft
6793.5 sq ft
Please solve
8-6(x-3) >-4x+12
Answer:
7 > x
Step-by-step explanation:
8-6(x-3) > -4x+12
Multiply 6 with the ones in the paranthesis:
8-6x+18 > -4x+12
Simplify numbers:
26-6x > -4x+12
Do the balance method:
12-26 > -6x+4x
-14 > -2x
Simplify to x:
-14/-2 > -2x/-2
7 > x
Answer:
Step-by-step explanation:
Here you go mate
Step 1
8-6(x-3) >-4x+12 Equation/Question
Step 2
8-6(x-3) >-4x+12 Simplify
-2x+26>12
Step 3
-2x+26>12 Subtract
-2x>-14
Step 4
-2x>-14 Divide
answer
x<7
Decide if the statement is true or false.
7 is a solution of - 4x = -28.
True
Divide by -4 on both sides and you're left with x=7
A string 60 inches long is to be laid out on a tabletop to make a rectangle of perimeter 60 inches. Write the width of
the rectangle as 15 + x inches. What is an expression for its length? What is an expression for its area? What value
for x gives an area of the largest possible value? Describe the shape of the rectangle for this special value of x.
Answer:
Okay
Step-by-step explanation:
Hope this helps
Enjoy ur day
a) An expression for its length will be (15 - x) inches.
b) An expression for the area of rectangle will be (225 - x²) inch².
c) At x = 0 the rectangle has maximum area.
d) The shape of a rectangle will be square at x = 0.
What is Perimeter of a rectangle?
The perimeter of a rectangle with length L and width W is defined as;
Perimeter = 2 (L + W)
Given that;
Total length of string = 60 inches
Perimeter of rectangle = 60 inches.
Now,
a) When the width of rectangle is 15 + x inches.
Then, Expression for its length is calculated as;
Perimeter of rectangle = 2 ( length + width)
60 = 2 ( length + (15 + x) )
Divide by 2,
30 = Length + 15 + x
Length = 30 - 15 - x
Length = 15 - x
So, An expression for its length will be (15 - x) inches.
b) Length of rectangle = (15 - x) inches
Width of rectangle = 15 + x inches
Then, Area of rectangle = Length x width
Area of rectangle = (15 - x) × (15 + x)
Area of rectangle = 15² - x²
Area of rectangle = 225 - x²
Thus, An expression for the area of rectangle will be (225 - x²) inch².
c) When all sides of a rectangle is equal to each then, the area of a rectangle is maximum.
So, We can formulate,
Length = width
15 - x = 15 + x
2x = 15 - 15
2x = 0
x = 0
Hence, At x = 0 the rectangle has maximum area.
d) When x = 0,
Then, The sides of a rectangle are equal.
This imply that the shape of a rectangle will be square.
Therefore,
a) An expression for its length will be (15 - x) inches.
b) An expression for the area of rectangle will be (225 - x²) inch².
c) At x = 0 the rectangle has maximum area.
d) The shape of a rectangle will be square at x = 0.
Learn more about the rectangle visit:
https://brainly.com/question/28684467
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Tony had a bag that contained a
green marble, a blue marble, and
a red marble. Tony removed the
marbles from the bag one at a time.
He did not return each marble to the
bag after removing it. Which list
shows all of the possible orders in
which Tony could have removed the
marbles from the bag?
Green-blue-red
Blue-green-red
Red-green-blue
Red-blue-green
Blue-red-green
Green-red-blue
Ο Α
OB
Green-red-blue
Green-blue-red
Red-blue-green
Red-green-blue
Green-blue-red
Green-red-blue
Blue-blue-red
Blue-red-green
Answer:
A
Step-by-step explanation:
B repeats itself implying he put them back in the bag
PWEASE HELP :( NOW BEG YOU
Answer:
Step-by-step explanation:
please help, thanks :)
Answer:
It's C :)
Step-by-step explanation:
Next time check the y-intercept
Green has a intercept of 1
and purple has -3
Math question points and brainlest 20 points !!
Answer:
I think A (OwO)
Step-by-step explanation:
I'm not 100% sure, but its the closest.
Answer:
A) 2/15
Step-by-step explanation:
There is 2 can of green beans but 15 cans altogether. Making 2/15 of a chance to get green beans.
Have a blessed day! I hope this helps!
Ana completed 40% of her math test yesterday. She completed 12 math problems. How many math problems are on her test?
Answer: 30
Step-by-step explanation:
Factor this expression, 3n^2+9n+6 If is possible
Answer is 3(n + 1)(n + 2)
I will give brainiest to whoever answers correctly !!
Answer:
March 19th
Step-by-step explanation:
Starting at November 20th, There are 10 days until the start of December
110 days left
December has 31 days
79 days left
January has 31 days
48 days left
February on a leap year has 29 days
19 days left
The load will be due on March 19th
5TH GRADE LEVEL QUESTION. PLEASE LOOK AT PHOTO I NEED HELP DUE VERY SOON HANDING OUT BRAINLIEST PLEASEE HELP I BEG U.
Step-by-step explanation:
We know that the volume of a rectangular prism is the base area multiplied by its respective height.
Hence we have 24in² * 6in² = 144in³.
The volume of the package is 144 cubic inches.