Use this information for Items 5–7. There is a 60% probability of rain each of the next 5 days. Find each probability. Round to the nearest whole percent. PLEASE HELP ME!!!
Answers
Answer:
0.6808 = 68.08% probability that it will rain on at least 3 of the next 5 days.
0.9898 = 98.98% probability it will rain on at least 1 of the next 5 days.
0.84 = 84% probability it will rain on at least 1 of the next 2 days.
Step-by-step explanation:
For each day, there are only two possible outcomes. Either it rains, or it does not. The probability of raining on a day is independent of any other day. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
There is a 60% probability of rain each of the next 5 days.
This means that [tex]p = 0.6, n = 5[/tex]
Probability it will rain on at least 3 of the next 5 days:
This is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{5,0}.(0.6)^{0}.(0.4)^{5} = 0.0102[/tex]
[tex]P(X = 1) = C_{5,1}.(0.6)^{1}.(0.4)^{4} = 0.0768[/tex]
[tex]P(X = 2) = C_{5,2}.(0.6)^{2}.(0.4)^{3} = 0.2304[/tex]
So
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0120 + 0.0768 + 0.2304 = 0.3192[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.3192 = 0.6808[/tex]
0.6808 = 68.08% probability that it will rain on at least 3 of the next 5 days.
Probability it will rain on at least 1 of the next 5 days:
This is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
From the above item, we have that [tex]P(X = 0) = 0.0102[/tex]. So
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0102 = 0.9898[/tex]
0.9898 = 98.98% probability it will rain on at least 1 of the next 5 days.
Probability it will rain on at least 1 of the next 2 days:
Two days means that [tex]n = 2[/tex].
The probability is:
[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{2,0}.(0.6)^{0}.(0.4)^{2} = 0.16[/tex]
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.16 = 0.84[/tex]
0.84 = 84% probability it will rain on at least 1 of the next 2 days.
Related Questions
Which is the best estimate of 2pi(2)
A. 12 B. 16 D. 20 D. 24
Answers
Answer:
Equal 12.5
choose : A. 12
Help and explain please.
Answers
Answer:
a2 + b2 = c24 + b2 = 49b = [tex] \sqrt{45} [/tex]So a^2+b^2 = c^2
In this case you are trying to find b
2^2+b^2 = 7^2
4 + b^2 = 49
B^2 = 45
b = the square root of 45
That is 6.70820393 or ≈ 6.7
Then see if it makes sense
2^2 + 6.7^2 = c^2
2(2) = 4
6.7(6.7) ≈ 45 (44.89)
———————-
49
And the square root of 49 is 7
Please correct me if I am wrong and have a good day
PLEASE I NEED HELP ASAP!!
Answers
Answer:
Option C
Step-by-step explanation:
System of equations have been given as,
y - 4x = 16
y = 4x + 16 ------(1)
By comparing with slope-intercept form of the linear equation,
y = mx + b
Here, m = slope of the line
b = y-intercept
Therefore, m₁ = 4
2y = 8x + 16
y = 4x + 8 -------(2)
Slope of the line m₂ = 4
m₁ = m₂
Therefore, both the lines are parallel and both will not intersect each other.
Hence, there will be no solution of the system of equations.
Option C will be the correct option.
Please see the attachment below. Also if you can, please show work. :)
Answers
Answer:
x = 5.2
Step-by-step explanation:
Its because 8 / 2 = 4 so that means 5.2 / 2 = 2.6 :)
(You might wanna check because im not sure)
hamburger eaten monthly
Answers
Answer:
Full question?
Step-by-step explanation:
In how many ways can a
president, vice president, and
treasurer be selected for a
club if the club has 40
members?
[?] ways
Note: „Pr =
(n-r)!
n!
PLEASE HELP
Answers
Answer:
59,280
Step-by-step explanation:
the answer is base in my previous learning.. hope it helps..
1. What is the slope of the line through the points (-4, 2) and (—16,-6) PLEASE HELP
Answers
Answer:
2/3
(-4, 2) and (-16, -6)
slope = m = (y2 - y1) / (x2 - x1) = (-6 - 2) / (-16 - -4) = -8 / -12 = 2 / 3 = 0.667
I hope you got it right :)
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answers
Answer:
(0,9),(9,2)
Step-by-step explanation:
Plz help me well mark brainliest if correct.....?
Answers
Answer:
B. 8 x 12
Step-by-step explanation:
First of all, it has an area of 96
So lets find the multiplication pair that equals 96.
10 x 10 = 100 NO
6 x 16 = 96 YES
8 x 12 = 96 YES
Now we have two equations: 8 x 12 and 6 x 16
Perimeter of 40 means:
2(a+b) = 40
Lets input the two equations:
2(8+12) = 2 x 20 = 40
2(6+16) = 2 x 22 = 44
So the dimensions that works is 8 x 12
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the area of each figure. Round to the nearest tenth if necessary.
Answers
Answer:
1. semicircle=14.1372mm
parallelogram=40 mm
54.1372 mm^2
2. 180 ft
hope this helps
have a good day :)
Step-by-step explanation:
A quiz consists of six multiple choice questions. Each question has four choices. A student who forgot to study guesses randomly on every question. What is the probability that the student answers at most four questions correctly?
Answers
Answer:
0.9945 = 99.45% probability that the student answers at most four questions correctly
Step-by-step explanation:
For each question, there are only two possible outcomes. Either the student answers correctly, or he/she does not. The probability of the student answering a question correctly is independent of any other question. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
A quiz consists of six multiple choice questions.
This means that [tex]n = 6[/tex]
Each question has four choices. Student guesses randomly.
This means that [tex]p = \frac{1}{4}[/tex]
What is the probability that the student answers at most four questions correctly?
This is:
[tex]P(X \leq 4) = 1 - P(X > 4)[/tex]
In which
[tex]P(X > 4) = P(X = 5) + P(X = 6)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{6,5}.(0.25)^{5}.(0.75)^{1} = 0.0053[/tex]
[tex]P(X = 6) = C_{6,6}.(0.25)^{6}.(0.75)^{0} = 0.0002[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) = 0.0053 + 0.0002 = 0.0055[/tex]
[tex]P(X \leq 4) = 1 - P(X > 4) = 1 - 0.0055 = 0.9945[/tex]
0.9945 = 99.45% probability that the student answers at most four questions correctly
I need help! :) +no links please and thank you!
Answers
Answer:
Step-by-step explanation:
(14×2)+(14×4)
7×(3+5)
c, e and g
One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 35 individuals who consider themselves to be avid Internet users results in a mean time of 1.99 hours watching television on a weekday.
Required:
Determine the likelihood of obtaining a sample mean of 1.99 hours or less from a population whose mean is presumed to be 2.45 hours.
Answers
Answer:
Step-by-step explanation:
-90 + x = 180
What is the answer ?
Answers
Answer:
x = 270
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-90 + x = 180
Step 2: Solve for x
[Addition Property of Equality] Add 90 on both sides: x = 270Answer:
x = 270
Step-by-step explanation:
- 90 + x = 180
Add 90 to each side of the equation.
- 90 + 90 + x = 180 + 90
Combine like terms.
x = 270
On a coordinate plane, a single transformation will be performed on square RSTU.
Select three transformations of square RSTU that would result in a congruent figure.
A a translation 3 units up and 8 units to the right
B a rotation of 270 counterclockwise about the origin
C a dilation by a scale factor of 1 with respect to the origin
a dilation by a scale factor of 1.5 with respect to the origin
E
a dilation by a scale factor of -2 with respect to the origin
Answers
Answer:the answer is ABC
Step-by-step explanation:
I had this on my exit ticket and my teacher reviewed the question and told me it was correct
What is the sum? Complete the equation.
-5 + (20)
Answers
Answer: The answer is 15
HOPE THIS HELPS AND HAVE A VERY GOOD DAY
mmw-qdtk-wah come.
Answers
Bdndidnskxjensoxhd djx
About 0.34 of the length of a cat is its tail. Write this decimal as a percent.
Answers
greatest common factor of 27q^2 - 9
Answers
Answer:
9(3q^2−1)
Step-by-step explanation:
54, 46, 43, 40, 34, 20, 28, 50, 45, 42, 38. What is the mean?
Answers
Answer:
40
Step-by-step explanation:
Average = Sum / Count
= 440 / 11
= 40
Answer:
Step-by-step explanation:
The mean is the total number to add .them you divide the total for of value ,
in this case your add al number 54+46+43+40+34+20+28+50+45+42=382
in / 382/11 = 34.727272... = 35
How to graph 5a-6b=18
Answers
Answer:
[tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex][tex]b = \frac{ - 5}{6} a + 3[/tex]Step-by-step explanation:
Let's solve for a .
[tex]5a+6b=18[/tex]
Step 1: Add -6b to both sides.
[tex]5a+6b+−6b=18+−6b[/tex]
[tex]5a=−6b+18[/tex]
Step 2: Divide both sides by 5.
[tex] \frac{5a}{5} = \frac{ - 6b + 18}{5} [/tex][tex]a = \frac{ - 6}{5} b + \frac{18}{5} [/tex]Let's solve for b.
[tex]5a+6b=18[/tex]
Step 1: Add -5a to both sides.
[tex]5a+6b+−5a=18+−5a[/tex]
[tex]6b=−5a+18[/tex]
Step 2: Divide both sides by 6.
[tex] \frac{6b}{6} = \frac{ - 5a + 18}{6} [/tex][tex]b = \frac{ - 5}{6} a + 3[/tex]Hope it is helpful....please help!!! urgently i dont get this
Answers
Answer:
4
Step-by-step explanation:
If 25% of a number is 50 and 35% of the same number is 70, find 10% of that number.
Answers
Answer:
10%×200=20
Step-by-step explanation:
25%×200=50
35%×200=70
conical tank has height 10 ft and radius 8 ft. The tank is buried vertex-down so that the top is 6 ftunderground. The tank is filled with kerosene (of density 51.2 lb/ft3).(a) Write down an integral for the total fluid force on the side of the tank.(b) Suppose all the kerosene is pumped to ground level. Write down an integral for the work requiredto pump the oil.
Answers
Answer:
a. F = 26214.4π lb/ft-s²∫₋₁₀⁰(y + 10)dy
b. W = 104857.6π lb-ft/s²∫₋₁₀⁰(y + 10).dy
Step-by-step explanation:
(a) Write down an integral for the total fluid force on the side of the tank.
We know force, F = ∫PdA where P = pressure and dA = differential area element in tank surface.
Let the position of the bottom of the tank be y = -h where h = height of tank and y = 0 be the top of the tank. So, the height of any point y of the tank H is y - (-h) = y + h = y + 10
The pressure P = ρgH where ρ = density of oil in tank = 51.2 lb/ft³ and g = acceleration due to gravity = 32 ft/s²
P = ρgH
P = ρg(y + 10)
The differential area element of a point on the side of the tank is dA = 2πrdy
So, F = ∫PdA
F = ∫ρg(y + 10)2πrdy
we integrate y from y = -h = -10 to y = 0
So, F = ∫₋₁₀⁰ρg(y + 10)2πrdy
F = ∫₋₁₀⁰2πrρg(y + 10)dy
F = ∫₋₁₀⁰2π(8 ft)(51.2 lb/ft³)(32 ft/s²)(y + 10)dy
F = ∫₋₁₀⁰26214.4π lb/ft-s²(y + 10)dy
F = 26214.4π lb/ft-s²∫₋₁₀⁰(y + 10)dy
(b) Suppose all the kerosene is pumped to ground level. Write down an integral for the work required to pump the oil.
The work done W = ∫F.dy
W = ∫F.dy
F = ρgV where V = volume of tank = πr²H = πr²(y + 10)
F = ρgπr²(y + 10)
So, W = ∫F.dy
W = ∫ρgπr²(y + 10).dy
Since the water is pumped to ground level, we integrate y from y = -h = -10 to y = 0
W = ∫₋₁₀⁰ρgπr²(y + 10).dy
W = ∫₋₁₀⁰π(51.2 lb/ft³)(32 ft/s²)(8 ft)²(y + 10).dy
W = ∫₋₁₀⁰104857.6π lb-ft/s²(y + 10).dy
W = 104857.6π lb-ft/s²∫₋₁₀⁰(y + 10).dy
Give the coordinates of point D.
A. (-2,-4)
B. (-4,2)
C. (-4,-2)
D. (4, -2)
Answers
explanation:
If the graph is reflected across the y-axis, what will be the equation of the new graph?
a) y=-3^-x+1
b) y=3^-x+1
c) y=-3^x-1
d) y=-3^x+1
Answers
Answer: If the graph is reflected across the y-axis it would be...
A) y=-3^x+1
Step-by-step explanation:
If something cost $60 and it has a markdown of 40% what is the sale price
Answers
Answer:
Your total is now $36
Step-by-step explanation:
Multiply 60 times 40%
and it will show that you saved $24
subtract $60 - $24
there's your answer.
Giving 40 points and brainiest to answer these trigonometry questions
Answers
BC = 8i + 6
This is the answer for the first question, i'm so so sorry but i'm not sure what the answer is to the second one.
What is the solution to A=7x+40
Answers
9514 1404 393
Answer:
x = (A -40)/7
Step-by-step explanation:
Maybe you want to solve for x.
A = 7x +40 . . . . . given
A -40 = 7x . . . . . subtract 40
(A -40)/7 = x . . . divide by 7
The value of x will be ...
x = (A -40)/7
How many students will be in each group...?
Mr. Hooper and Mr. Dale are playing a one-on-one basketball game in Madison Square Garden, 60 5th grade scholars from Beloved will attend the game.
They will travel to the game in groups with x teachers. Complete the table. How many scholars will be in each group if x = 3
X
30 x
1
30
3
6
4 students
6 students
10 students
90 students
9
10 11 12 13 14 15 16 17 18
Answers
Answer:
10 students
Step-by-step explanation:
Hope this helps!