Answer:
The probability that it will rain in all 3 cities on that day
P(V∪ C∪S) = 0.93 = 93%
Step-by-step explanation:
Let 'V' be the event of rain in Vancouver
Given that the probability of rain in Vancouver
P( V) = 20% = 0.20
P( V⁻) = 1- P( V) = 1 - 0.20 =0.80
Let 'C' be the event of rain in Calgary
Given that the probability of rain in Calgary
P( C) = 65% = 0.65
P( C⁻) = 1- P( C) = 1 - 0.65 =0.35
Let 'S' be the event of rain in Saskatoon
Given that the probability of rain in Saskatoon
P( S) = 75% = 0.75
P( S⁻) = 1- P( S) = 1 - 0.75 =0.25
First we will prove that the probability that it will not rain in all 3 cities on that day
P( V⁻ ∩ C⁻ ∩ S⁻ ) = P( V⁻) P( C⁻) P(S⁻)
= 0.80 × 0.35 × 0.25
= 0.07
The probability that it will rain in all 3 cities on that day
P(V∪ C∪S) = 1-(P( V⁻ ∩ C⁻ ∩ S⁻ )
= 1 - 0.07
= 0.93
Find the volume of a right circular cone that has a height of 8.1 in and a base with a diameter of 7.6 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
[tex]V=122.5in^3[/tex]
Step-by-step explanation:
The volume of a right circular cone can be found with the formula [tex]V=\pi r^2\frac{h}{3}[/tex] .
So, just plug in the values that are given (by the way, the radius is found by dividing the diameter by 2 since it's half the value of the diameter).
[tex]V=\pi r^2\frac{h}{3}\\V=\pi (3.8)^2(\frac{8.1}{3} )\\V=\pi (14.44)(2.7)\\V=122.484\\V=122.5in^3[/tex]
Answer:
122.5
Step-by-step explanation:
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!
Answer:
y= (x^2-3) + 2
Step-by-step explanation:
It is plus two on the end to go up 2 on the y axis since the question says up two units and in the parenthesis is where you can move the start of and line, exponential line, or parabola to the left or to the right. When in the parenthesis, if you do however many x's and whatever exponent there is if you plus it will go into the negatives, ot left, and minus will go positive, or right. Therefore the answer is y= (x^2-3) +2.
BTW, when writing exponents, this: ^, is an exponent sign but working on certain platforms will allow you to write them like in the image, and if it can then you should write it like that.
Hope this helps!
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
y= -x^2+5
Step-by-step explanation:
It normally expontionally goes up, so across the x axis is down so it is negative, and is is all scales up, so the start is 5 up from the origin on the y axis, so it would be y=-x+5
Hope this helped!
Richard's Rental Car charges a $55 rental fee and $0.25 per mile. Freddy's Rental Car charges a
$45 rental fee and $0.35 per mile. For how many miles, X, will the total charge of Richard's
Rental Car be no more than the total charge of Freddy's Rental Car?
2 < 10
> 10
> 100
2 < 100
Answer:
Correct option: third one -> X > 100
Step-by-step explanation:
The equation for the price of Richard's Rental Car is:
P1 = 55 + 0.25*X
The equation for the price of Freddy's Rental Car is:
P2 = 45 + 0.35*X
To find for how many miles will the total charge of Richard be less than Freddy, we have that P1 < P2, so:
55 + 0.25*X < 45 + 0.35*X
0.25*X - 0.35*X < 45 - 55
-0.1*X < -10
0.1*X > 10
X > 100
Correct option: third one
Alexandra and Austin applied to the same university. They looked up the average SAT score of students admitted to that university. Alexandra's SAT score was 40 points above the average score. Austin's SAT score was 330 points below the average score. Which expression represents the difference in their scores?
Answer:
x= (y+40)-(y-330)
Step-by-step explanation:
According to the information provided, the difference in their scores would be the result of subtracting Austin's SAT score from Alexandra's SAT score.
Then, as Alexandra's SAT score was 40 points above the average score this means that you have to add 40 to the average score to get her result. Also, as Austin's SAT score was 330 points below the average score, this means that you have to subtract 330 from the average score. With this you can write the expression:
x= difference in their scores
y= average score
x= (y+40)-(y-330)
Part of a book fell out. The first page of this part has number 143. The last page has a number written with the same digits. How many pages are in the part of the book which has fallen out?
Answer:
142 pages
Step-by-step explanation:
The parameters given are
First page of part of the book available = 143
The last is numbered with the digits 143
Since the book is said to have been split into two parts with, we have that one part of the book starts from the beginning, while the other part continue from the first part stops
Number on the pages on the first part = from 1 to number on the first page on the second part - 1
Hence, the part of the book available is the second part and the number of pages in the first part = 1 to 142 or 142 pages.
Can any one please help me in number 4
Answer:
150.72
Step-by-step explanation:
The volume of a cylinder is 2πrh. We have r = 3 and h = 8 so volume is 48π or 150.72.
if two angles are obtuse are they congruent
Answer:
No, obtuse simply means that the angle measures are > 90 and less than 360. Just because two angles are obtuse DOES NOT mean they are congruent.
Answer: No
Step-by-step explanation: Obtuse just means the angle is above 90 degrees and below 360, it doesn't mean its congruent.
What is the output of the function f(x) = x^2 + 1, when the input is 6? Can someone really help me out on this please i will really thank youuu..
Answer:
37
Step-by-step explanation:
Since the input is 6, you plug it in as the x value to get y.
The input=x value
the output=y value
This is because when you input an x-value into an equation, you would get its y value.
So... 6^2 is 36 and 36+1 is 37
So the final answer is 37
pls help me pls pls pls help me. thanks.
Answer: y = 3
Step-by-step explanation:
14/y - 2/3 = 4
14/y = 4 + 2/3
14y = 14/3
y = 3
The double number lines show the ratio of minutes to days. How many minutes are in 2 days
Answer:
2880 minutes are in two days
Which statement is true about the graphs of the two lines y = -4/5x + 2 and y = -5/4x - 1/2?
Statements:
1. The lines are perpendicular to each other because -4/5 and -5/4 are opposite reciprocals of each other.
2. The lines are perpendicular to each other because 2 and -1/2 are opposite reciprocals of each other.
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
4. The lines are neither parallel nor perpendicular to each other because 2 and -1/2 are not opposite reciprocals of each other.
Answer:
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
Step-by-step explanation:
Our answer is
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
Because [tex]-\frac{5}{4}[/tex] and [tex]-\frac{4}{5}[/tex] are not opposite reciprocals because they share the same sign ( - ).
Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.
To determine if two lines are perpendicular, we need to compare their slopes. If the slopes are negative reciprocals of each other, the lines are perpendicular.
Let's analyze the slopes of the given lines:
Line 1: y = -4/5x + 2
The slope of Line 1 is -4/5.
Line 2: y = -5/4x - 1/2
The slope of Line 2 is -5/4.
To check if these slopes are negative reciprocals, we need to invert one of the slopes and change its sign. Let's invert the slope of Line 1:
Inverted slope of Line 1: -5/4
The inverted slope of Line 1 is not equal to the slope of Line 2 (-5/4 ≠ -5/4). Therefore, the slopes are not negative reciprocals of each other.
Hence, Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.
To know more about slopes, refer here:
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Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
What is the contrapositive of the conditional statement? If two variables are directly proportional in the graph is a linear function
A baseball team won 9 games, which was 60% of the total number of games the team played. How many total games did the team play?
Answer: The team played 15 games total
Step-by-step explanation: 9 is 60 percent of 15.
A farmer has a 100 ft by 200 ft rectangular field that he wants to increase by 15.5% by cultivating a strip of uniform width around the current field. How wide of a strip should he cultivate around the edge of his field to do this? The strip around the outside is _ feet wide
Answer:
(a) The strip should be 5ft wide
(b) The strip around the outside field is 10ft wide.
Step-by-step explanation:
Given:
Length of the rectangular field, L= 200 ft
width of the rectangular field, w = 100 ft
Area of the rectangular field, A = 200ft x 100ft = 20000 ft^2
let the width of the strip = x
The strip around the outside field = 2x
If the field is increased by 15.5%
New area of the field = 1.155 x 20000 = 23,100 ft^2
The increase in area of the field = 3,100 ft
3,100 = New area of field - old area of the field
3100 = (200 + 2x)(100 + 2x) - 20000
3100 = 20000 + 400x 200x + 4x^2 - 20000
3100 = 600x + 4x^2
Divide through by 4
775 = 150x + x^2
x^2 + 150x - 775 = 0
Factorize
(x + 155)(x-5) = 0
x = 5 ft
The strip should be 5ft wide.
The strip around the outside field = 2 x 5 ft = 10 ft
Thus, the strip around the outside field is 10ft wide.
36x^2-16 factored. please and thanks
Answer:
(6x+4)(6x-4)
Step-by-step explanation:
a^2 - b^2 = (a+b)(a-b).
sqrt of 36x^2 is 6x; sqrt of 16 is 4.
a = 6x, b = 4.
Answer:
[tex] (6x - 4)(6x + 4) \\ [/tex]
Step-by-step explanation:
[tex]36 {x}^{2} - 16 \\ {6}^{2} {x}^{2} - {4}^{2} \\ (6x - 4)(6x + 4)[/tex]
hope this helps you.
brainliest appreciated
good luck! have a nice day!
Please help with this asap, thank you !!
Answer:
The cylinder is cheaper to make because it has less surface area.
Step-by-step explanation:
In order to find the surface area of a cylinder, you do 2πrh+2πr²
We need the radius, which is half of the diameter, so then we have 2π(3·12)+2π·3² which gets us 282.72
We also need the surface area of the rectangular prism which we can get by 7x4 + 7x4 + 12x7 + 12x7 + 12x4 + 12x4 which gets us 320
282.72 < 320
What is the domain of the function y = l n (StartFraction negative x + 3 Over 2 EndFraction)
x less-than 2
x greater-than 2
x less-than 3
x greater-than 3
Answer:
Option (3). x < 3
Step-by-step explanation:
Given function is a logarithmic function,
[tex]y=\text{ln}[\frac{(-x+3)}{2}][/tex]
We know that logarithm is defined for all positive real numbers except zero.
[tex]\frac{(-x+3)}{2}>0[/tex]
(-x + 3) > 0
-x > -3
x < 3
That means the given logarithmic function is defined for all real values lees than 3.
And the domain of the function will be x < 3
Option (3) will be the answer.
Answer:
x < 3 Option C on E2020.
Step-by-step explanation:
Which of these is an example of a literal equation?
A. 12 = 9 + 3x
B. 6 + 30 = 62
C. ax - by = k
D. 3x - 4y
Evaluate 105*95 using identities
Answer:
9975
Step-by-step explanation:
See attachment.
( 105 ) * ( 95 )
(100+5) * (100-5)
100*100 * (1 + 5/100) * ( 1 - 5/100)
10000 * ( 1 - 5/100 + 5/100 - {25/10000} )
- 5/100 + 5/100, they cancel each other out to 0
10000 * ( 1 + 0 - {25/10000} )
10000 * ( 1 - {25/10000} )
10000 - {25*10000/10000}
10000 - {25}
9975
Find the volume of the composite solid.
Answer:
Equal.
Step-by-step explanation:
The volume of the rectangular prism is:
V = length x width x height
V = 3a x 2b x c
V = 6abc
The volume of the pyramid is:
V = (base area x height)/3
V = (a x b x 18c)/3
V = 18abc/3
V = 6abc
The two volumes are equal.
Solve the system algebraically. -6x+3y=27 -5x-3y=-16
Answer:
A) -6x+3y = 27
B) -5x-3y = -16 We add the 2 equations
-11x = 11
x = -1
Putting 1 into equation B)
5 -3y = -16
-3y = -21
y = 7
Step-by-step explanation:
Linear or non linear
Answer:
linear
Step-by-step explanation:
Answer:
Linear
Step-by-step explanation:
It has mathematical proportion
Find the interest when the interest is 4.5 times the principal, the principle is p and the time period is 13.5 years
Plz help!!!!
Answer: Interest will be 3%
Step-by-step explanation:
4.5x = x * r * 13.5
4.5x = 13.5x*r
r = 13.5x/4.5x = 3%
Answer:
Interest will be 3%
Step-by-step explanation:
4.5x = x * r * 13.5
4.5x = 13.5x*r
r = 13.5x/4.5x = 3%
Thank you!
Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent.
Answer:
hi this is my old account
Step-by-step explanation:
Part 1
Find the surface area of one box.
The surface area is
62(answered)
square inches.
Part 2
Find the total surface area of 100 boxes.
The total surface area of 100 boxes is
6,200(answered)
square inches.
Part 3 out of 3
One can of paint will cover 14,000 square inches. How many cans of paint will Yolanda need to buy?
Yolanda will need to buy (blank)
cans.
Expand 3x(2 + 11x) please answer
Answer:
6x + 33x²
Step-by-step explanation:
3x × 2 = 6x
3x × 11x = 33x²
A woman hikes 503 m, turns and jogs 415 m, turns again and runs 365 m returning to her starting point.
What is the area of the triangle
formed by her path?
Round to the nearest tenth.
Answer:
74594.2 m
Step-by-step explanation:
Heron's formula
area=sqrt(p(p-a)(p-b)(p-c)) where p=(a+b+c)/2
[tex]\sqrt{641.5(641.5 - 503)(641.5 -415)(641.5 - 365)}[/tex]The total amount of area of the triangle which she has covered is 74594.17.
What is a triangle?A triangle is a closed, 2-dimensional shape with 3 sides, 3 angles, and 3 vertices.
In a triangle, the sum of all three angles is 180°
Triangle is a very common figure to deal with our daily life for example in our daily life to measure the height of any tower then there is a huge application of the right angle triangle.
Area of triangle = 1/2 ×base ×height.
Given that A woman hikes 503 m, turns and jogs 415 m, turns again, and runs 365 m returning to her starting point
so the triangle which is made by the woman(no matter what kind of triangle is) has a side as
A = 503m , B = 415m , C = 365m
Now S = (A + B + C)/2
S = (503 + 415 + 365)/2
S = 641.5
Now the area of a triangle is given by
Area = [tex]\sqrt{S(S - A)(S -B)(S - C)}[/tex]
Area = [tex]\sqrt{641.5 (641.5 - 503)(641.5 -415)(641.5 - 365)}[/tex]
Area = 74594.17 hence, the area of the triangle will be this.
For more information about triangle
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Which statement best explains why pollution stays within the Earth's atmosphere? *
Answer:
Because of cars, and factories making it everyday.
Step-by-step explanation:
