Assume you are planning a picnic for lunch, but when you woke up there were rain clouds in the sky. If 50% of rainy days start with rain clouds in the air, 20% of all days start with clouds in the air, and rain only typically occurs on 1 out of every 10 days, what is the probability that it will rain today and ruin your picnic
Answer:
0.25 = 25% probability that it will rain today and ruin your picnic
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Cloudy skies
Event B: Rain
20% of all days start with clouds in the air
This means that [tex]P(A) = 0.2[/tex]
50% of rainy days start with rain clouds in the air
50% of 10%. So
[tex]P(A \cap B) = 0.5*0.1 = 0.05[/tex]
What is the probability that it will rain today and ruin your picnic
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05}{0.2} = 0.25[/tex]
0.25 = 25% probability that it will rain today and ruin your picnic
Press F9 on your keyboard five more times and see how long Carol lives in each of her alternate lives. Remember that she will always live to be at
least 44 years old, since she is already 44 years old. How long did Carol live each time?
Answer:
59 or infant
Step-by-step explanation:
she will either live to be 59 each time or she will live to be a undying God like being
habitantes de dos pequenas comunidades harán una obra de drenaje que
beneficia a todos. El costo de los materiales necesarios asciende a 360,000.00
Se decidió que las aportaciones sean proporcionales al numero de habitantes de
da comunidad. En la comunidad A hay 120 habitantes; en la comunidad B 240
y en la comunidad C 360
¿Con cuánto debe cooperar cada comunidad?
¿Cuál es la aportación por persona en las tres comunidades?
Answer:
La Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000. Cada Comunidad aportará $500 por persona.
Step-by-step explanation:
Dado que la obra de drenaje tiene un costo de materiales de $360,000, y que dicho costo será soportado por cada comunidad en proporción a sus habitantes, sabiendo que en la comunidad A hay 120 habitantes; en la comunidad B 240 y en la comunidad C 360, para determinar con cuánto dinero debe cooperar cada una se debe realizar el siguiente cálculo:
120 + 240 + 360 = 720
C = 1/2 x 360,000 = 180,000
B = 1/3 x 360,000 = 120,000
A = 1/6 x 360,000 = 60,000
Así, la Comunidad A deberá aportar $60,000, la Comunidad B deberá aportar $120,000 y la Comunidad C deberá aportar $180,000.
A su vez, la aportación por persona en las tres comunidades surge del siguiente cálculo:
360,000 / 720 = 500
Así, cada comunidad aportará $500 por persona.
36 : 52 = __:__
a) 18:26
b) 2:3
d) 2:2
d 9:13
Which pair isn’t congruent help me out ✏️
The population of a community is known to increase at a rate proportional to the number of people present at time t. If an initial population P0 has doubled in 3 years, how long will it take to triple? (Round your answer to one decimal place.)
Answer:
4.75 years are required to triple the population
Step-by-step explanation:
As we know
[tex]\frac{dP}{dt} = P\\[/tex]
Integrating both the side with respect to t we get
[tex]ln P = kt + c_1\\P = e^{kt + c_1}\\P = Ce^{kt}[/tex]
At t = 0, P = P0
[tex]2 P_0 = P_0 * e ^{3k}\\2 = e ^{3k}\\ln 2 = 3k\\k = 0.231\\[/tex]
substituting K value in main equation, we get -
[tex]P = P_0 * e^{0.231 * t}\\3P_0 = P_0 * e^{0.231 * t}\\3 = e^{0.231 * t}\\ln 3 = 0.231 * t\\t = 4.75[/tex]
4.75 years are required to triple the population
(10p) An actuary has discovered that policyholders are three times as likely to le two claims as to le four claims. The number of claims led has a Poisson distribution. Compute the variance of the number of claims led. You can use, without a proof, that the variance of a Poisson distribution is equal to its mean.
Answer:
Hello your question is poorly written below is the complete question
An actuary has discovered that policyholders are three times as likely to file two claims as to file four claims. If The number of claims filed has a Poisson distribution. Compute the variance of the number of claims filed. You can use, without a proof, what is the variance of a Poisson distribution is equal to its mean
answer : variance = 2
Step-by-step explanation:
compute the variance of the number of claims filed
x = number of claim filed
For Poisson distribution
mean = variance = Л
∴ Variance = 2
Help now plsssssssssssssssssssssss
Answer:
Your answer is 5009.2
Upvote it. Welcome
Answer:
5009,206
Step-by-step explanation:
Hope this helped!
Please help me solve |3b+9| -16 = -52
Answer:
b= -15
Step-by-step explanation:
First combine like terms 9-16= -7
Left 3b-7= -52
Next add 7 to both sides
Left 3b= -45
Finally divide
So b= -15
a Basketball ticket costs $45 but they are having a promotional game night and all tickets are 25% off what is the new price of the ticket
Answer:
Should be $11.25
Step-by-step explanation:
Since 25% is 1/4 you can just divide 45 by 4.
45/4 = 11.25
Answer: 33.75. 25% of 45 is 11.25. So 45-11.25=33.75
Step-by-step explanation:
Giving brainliest for the right answer so pls help me!
Answer:
Radius: 3.5
Diameter: 7
i might be wrong tho im sorry !!
The answer:
Radius = 3.5cm
Diameter = 7cm
I hope I've helped <3I WILL GIVE BRAINLIEST PLS HELP!!!!
The hypotenuse of ANY right triangle is [tex]\sqrt{2}[/tex] times the leg.
TRUE OR FALSE AND ALSO EXPLAIN
Simplify (4j - 3.1c +5) + ( -7 - 4j - 0.9c)
Which fraction rounds to 5?
Answer:
5/1
Step-by-step explanation:
Answer:
5/1
Step-by-step explanation:
How do i write the quotient as a mixed number?
Answer:
divide the numerator by the denomantor
Step-by-step explanation:
A fraction in which the numerator is smaller than the denominator, like 1/3 or 2/5 is called a proper fraction. A fraction in which the numerator is larger than or equal to the denominator, like 5/2, 17/3, or 6/6 is called an improper fraction. (To put it another way, a fraction with a value less than 1 is a proper fraction. A fraction with a value greater than or equal to 1 is an improper fraction.)
As we have shown above, mixed numbers can be written as improper fractions. Similarly, improper fractions can be written as mixed numbers.
Factor as the product of two binomials.
x^2 - 3x +2=
Answer:
(x−1)(x−2)
Step-by-step explanation:
I will give brainliest to whoever answers RIGHT.
Answer:
it's 3.4
Step-by-step explanation:
hope this helps have a nice day
A, B, C and D form the vertices of a parallelogram
AD = 10.3cm, AB = 15.5cm and BAD = 63°
Find the area of the parallelogram. Round to 1 DP
The diagram is not drawn accurately.
AB=8.7 cm. Work out the length of BC. ... 1. Adi. Diagram NOT accurately drawn. POR is a triangle. Angle Q = 90° ... Give your answer correct to 1 decimal place. ton o. Ady ... Ad. POR is a right-angled triangle. PR = 12 cm. OR = 4.5 cm. Angle PRO = 90°. ... AB= 7 cm. BC = 12 cm. Angle BAD= 65°. Calculate the length of AC.
Ana, Profesora de Psicología de una escuela, planeo realizar un estudio sobre las
respuestas de los espectadores a ciertos aspectos de las peliculas A By Después
de encuestar su clase de 55 estudiantes, determinó la siguiente información: 17
han visto A. 17 han visto B. 23 han visto c. 6 han visto A y B. & han visto A y C 10
han visto By C 2 han visto las tres peliculas.
a. ¿Quántos estudiantes han visto exactamente dos de estas peliculas?
b. ¿Cuántos estudiantes han visto exactamente una de estas peliculas?
C. ¿Cuántos estudiantes no han visto estas películas?
d. ¿Cuántos estudiantes han visto A. pero ninguna de las otras?
Answer:
The answer is below
Step-by-step explanation:
El número de personas que vieron solo A = n (A) = 17
El número de personas que vieron solo B = n (B) = 17
El número de personas que vieron solo C = n (C) = 23
El número de personas que vieron A y B = n (A ∩ B) = 6
El número de personas que vieron A y C = n (A ∩ C) = 8
El número de personas que vieron B y C = n (B ∩ C) = 10
El número de personas que vieron las tres películas = n (A ∩ B ∩ C) = 2
1) Número de estudiantes que han visto dos películas = n (A ∩ B) + n (A ∩ C) + n (B ∩ C) = 6 + 8 + 10 = 24
2)
n (A∩ B '∩ C') = n (A) -n (A ∩ B) -n (A ∩ C) -n (A ∩ B ∩ C) = 17-8-6-2 = 1
n (A'∩ B ∩ C ') = n (B) -n (A ∩ B) -n (B ∩ C) -n (A ∩ B ∩ C) = 17-6-10-2 = 1
n (A'∩ B '∩ C) = norte (C) -n (UNA ∩ C) -n (B ∩ C) -n (UNA ∩ B ∩ C) = 23-8-10-2 = 3
estudiantes que no han visto = 55 - n (A∩ B '∩ C') -n (A'∩ B ∩ C ') - n (A'∩ B ∩ C') - n (A ∩ B) -n ( B ∩ C) -n (UNA ∩ C) -n (A∩ B ∩ C) = 55-1-1-3-6-8-10-2 = 24
3)
número de alumnos que no han visto =
4)
número de estudiantes que vieron solo A = n (A∩ B '∩ C') = 1
On an island, the deer population has been decreasing by 4% per year (). The current population is 792 deer.
Assume that the deer population continues to decrease by 4% per year. Which of the following logarithmic equations best models the number of years it will take for the deer population to decrease from 792 deer to 674 deer?
Answer:
X = log(0.96)(0.85)
Step-by-step explanation:
Given that on an island, the deer population has been decreasing by 4% per year and the current population is 792 deer, assuming that the deer population continues to decrease by 4% per year, to determine the number of years it will take for the deer population to decrease from 792 deer to 674 deer the following calculation must be performed:
792 x 0.96 ^ X = 674
X = 3.95
So, rounded to whole numbers, it will take 4 years for the deer population to drop to 674.
Suppose that f(x) = 3 (8x - x^2)/256 for 0 < x < 8
Determine the following probabilities. Round all of your answers to 3 decimal places (e.g. 98.765).
a. P(X < 5)
b. P(X< 9)
c. P(5 < X < 7)
d. P(X > 3)
e. Determine x such that P(X < x) = 0.95
Answer and Step-by-step explanation: This function is a probability density function of a random variable X:
[tex]f(x)=\frac{3(8x-x^{2})}{256}[/tex]
and to calculate probabilities, we will have to integrate it:
[tex]P(X<x)=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
Solving:
[tex]P(X<x)=\frac{3}{256}(4x^{2}-\frac{x^{3}}{3} )[/tex]
Then:
a. P(X < 5)
[tex]P(X<5)=\int\limits^5_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]P(X<5)=\frac{3}{256}(100-\frac{125}{3} )[/tex]
[tex]P(X<5)=\frac{3}{256}(\frac{300-125}{3} )[/tex]
[tex]P(X<5)=\frac{175}{256}[/tex]
P(X < 5) = 0.683
b. P(X < 9)
Since density function's upper limit is 8, probability of x < 9 is 100% or 1.
So, P(X < 9) = 1
c. P(5 < X < 7)
[tex]P(5<X<7)=\int\limits^7_5 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]P(5<X<7)=\frac{3}{256}[4(7)^{2}-\frac{7^{3}}{3}-4(5)^{2}+\frac{5^{3}}{3}][/tex]
[tex]P(5<X<7)=\frac{3}{256}[96-\frac{218}{3} ][/tex]
[tex]P(5<X<7)=\frac{70}{256}[/tex]
P(5 < X < 7) = 0.273
d. P(X > 3)
[tex]P(X>3)=\int\limits^8_3 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]P(X>3)=\frac{3}{256}[256-\frac{512}{3}-36+9 ][/tex]
[tex]P(X>3)=\frac{3}{256}(229-\frac{512}{3} )[/tex]
[tex]P(X>3)=\frac{175}{256}[/tex]
P (X > 3) = 0.683
e. P(X < x) = 0.95
[tex]0.95=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]\frac{3}{256}[\frac{12x^{2}-x^{3}}{3} ] =0.95[/tex]
[tex]\frac{12x^{2}-x^{3}}{256}=0.95[/tex]
[tex]12x^{2}-x^{3}=243.2[/tex]
[tex]-x^{3}+12x^{2}-243.2=0[/tex]
Solving this cubic equation, we have three values for x:
x₁ = -3.909
x₂ = 8.992
x₃ = 6.917
The value of x will the one between 0 and 8, which are the limits of the function. So, value of x which gives a probability of 0.95 is x = 6.917.
NEED HELP ASAP!!!Of all the students who tried out for volleyball, 83% made the team what fraction of the students who tried out did NOT make the team?
Answers
4/5
1/5
3/4
1/3
Answer:I think it’s 1/5 but if u have another attemp and it’s wrong somehow do 1/3
Step-by-step explanation:
Answer:
3/4 or 1/3
Step-by-step explanation:
Suppose that a loan of $8000 is given at an interest rate of 13% compounded each year.
Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding.
(a) Find the amount owed at the end of 1 year.
si
(b) Find the amount owed at the end of 2 years.
Answer:
9040
10215.20
Step-by-step explanation:
compound interest that compounds yearly works as follows
PV(1+i)^n
just plug in the numbers
8000(1.13)^1= 9040
8000(1.13)^2=10215.20
A research group is interested in gauging perceptions about health club memberships among health club members. Specifically, they wish to determine the percentage of monthly paying members in the United States that believe health club memberships are not too expensive. They listed the members of the health club located nearby in alphabetical order and took every tenth member until they succeeded in contacting 150 members. What kind of sampling method have they used? Choose the correct answer below.
A. Cluster sampling
B. Multistage sampling
C. Stratified random sampling
D. Systematic sampling
Answer:
D. Systematic sampling
Step-by-step explanation:
Systematic sampling is a type of probability sampling method in which sample members of a large population are selected according to a random starting position and a constant, periodic interval. This interval, called the sample interval, is calculated by dividing the population size by the desired sample size.so correct option is D. Systematic sampling .30 + 18 = 6(5 + ___)
Answer:
3
Step-by-step explanation:
30 + 18 = 48
5 + 3 = 8, 6 x 8 = 48
If this was helpful vote brainliest :)
Help me pls pls pls
Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. (Round your answers to the nearest whole number.) 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77 (a) Find the percentile of 37. th percentile
Answer:
34.5
Step-by-step explanation:
Given the data:
X : 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77.
The 37th Percentile :
37/100(n + 1)th term
n = sample size = 32
Therefore,
0.37(32 + 1)th term
0.37(33)th term = 12.21 th term
(12th + 13th) term ÷ 2
(33 + 36) / 2
69 / 2
34.5
The 37th percentile is 34.5
PLZ HURRY IT'S URGENT!!!
What are the roots of the quadratic graphed?
-4 and 3
-3 and 4
0 and -6
0 and 6
the answer is -4 and 3
hope that helped
What is the length of the line segment below?
(107)
(3.1
Choose Yes or No to tell if the number 30 will make each equation true.
270 ÷ □ = 9
Choose...
1,200 ÷ □ = 400
Choose...
9,000 ÷ □ = 300
Choose...
600 ÷ □ = 20
Choose...
(will mark brainiest and 5 points pls answer its for a test due in 20 min).
Answer:
1. Yes
2. No
3. yes
4. yes