Answer:
0.58 = 58% probability she passes both courses
Step-by-step explanation:
We can solve this question treating the probabilities as a Venn set.
I am going to say that:
Event A: She passes the first course.
Event B: She passes the second course.
The probability she passes the first course is 0.67.
This means that [tex]P(A) = 0.67[/tex]
The probability she passes the second course is 0.7.
This means that [tex]P(B) = 0.7[/tex]
The probability she passes at least one of the courses is 0.79.
This means that [tex]P(A \cup B) = 0.79[/tex]
a. What is the probability she passes both courses
This is [tex]P(A \cap B)[/tex].
We use the following relation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58[/tex]
0.58 = 58% probability she passes both courses
HELP PLS 30 PTS !!!!!!!!!!!!
Answer:
its the second one bc if u multiply 8.34 times 5305 it equals to 44243.7 the diameter of the pool was jus to throw u off it was unneeded information.
Step-by-step explanation:
If 3/4 pounds of Fudge coast $6. 75, how much does 1 pound cost. Write as an equation.
Help me from 3 through 8
Answer:
3)x=−9 and x=4
4)x=−12 and x=−5
5)x=8 and x=14
6)x=−7 and x=3
7)x=-1 2/3 and x = 1/4
8)x=2/5
Step-by-step explanation:
Hope this helps
36 : 52 = __:__
a) 18:26
b) 2:3
d) 2:2
d 9:13
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.
I need help in my really struggle in math
Answer:
.
Step-by-step explanation:
.
Answer:
tell me a problen and I will help you solve it
Step-by-step explanation:
21< -4+5x Hurry I need it
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
To investigate whether or not sending text messages while driving impacts driving ability, we had 100 participants (50 men and 50 women) drive an obstacle course under one of the following conditions: 1) no texting while driving, 2) sending five text messages while driving, or 3) sending 10 text messages while driving. We measured the accuracy with which the subjects drove the obstacle course from a scale of 1 to 10 (1 = poor and 10 = excellent).We are testing the effect of sending text messages at three different _____.
a. treatments
b. levels
c. factors
d. None of the above
Answer:
A - treatments
Step-by-step explanation:
We are told the 100 participants were required to drive under 1 of the 3 conditions below which are;
- no texting while driving.
- sending five text messages while driving
- sending 10 text messages while driving
In experimental a research, these 3 conditions are referred to as treatments because they are used to derive an experimental result.
The value of a boat is depreciating at a rate of 7% per year. In 2006, the boat was worth $17,300. Find the value of the boat in 2011. Enter the exponential decay function for this situation.
The exponential decay function is y = .
In 2011 the boat will be worth $ .
Answer:
Step-by-step explanation:
[tex]V=Ar^t\\ \\ V=17300((100-7)/100)^t\\ V=17300(0.93)^{(y-2006)}\\ V(2011)=17300(0.93)^{(2012-2006)}=\$ 11192.29[/tex]
Can someone help me please answer my question.
Answers
A.6 inches
B.8 inches
C.10 inches
D.12 inches
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.
I 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
12 children in art class have to share 8 packages of clay so that everyone gets the same amount. How much clay can each child have?
Answer:8 y sobran 4
Step-by-step explanation:
8entre 4
Answer:
1.5
Step-by-step explanation:
Jane cloaked in to world on Tuesday at 7:30 am and went to her lunch at 11:30 am. She returned from her lunch break at 12:30 pm and clocked out of work for the day at 4:00pm. How many hours did she work on Tuesday?
Answer:
7 hours 30 minutes
Step-by-step explanation:
Jane clocks into work at 7:30 and goes to lunch at 11:30. (4 hours)
4 hours so far.
takes 1 hour break and returns for 12:30.
She finishes at 4. Time from 12:30 to 4 is (3h30)
3h30 + 4 = 7h30m
Check yourself ^
Factor as the product of two binomials.
x^2 - 3x +2=
Answer:
(x−1)(x−2)
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 <3NEED 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:
Simplify (4j - 3.1c +5) + ( -7 - 4j - 0.9c)
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.
Y=1/3x+14 in point slope form
Answer:
ok so.. whats the question?
Step-by-step explanation:
Answer:
y = 1/3x + 14
Step-by-step explanation:
The REASON THAT IS AN SLOPE INTERCEPT FORM IS BECAUSE IT IS ALREADY IN SLOPE INTERCEPT FORM.
486.664946274 + 541.24664245567 =
Answer:
the answer is 1027.91159
Help now plsssssssssssssssssssssss
Answer:
Your answer is 5009.2
Upvote it. Welcome
Answer:
5009,206
Step-by-step explanation:
Hope this helped!
You use a 40% off coupon followed by a 30% off coupon. is that
this is the same as a 70% off coupon. Explain
Answer:
Yes since 40+30=70 so it would be the same
Step-by-step explanation:
What is the slope of a line that passes through the points (-3, 2) and (-6, 5)?
A. -3
B. -1
C. 1/3
D. 1
2. "The quotient of a number and 4"
Answer:
Step-by-step explanation:
let n= number, the quotient of a number and 4 is
n/4
Evaluate 3(c + d) if c = 8 and d = -5
So far, Monica has read ã of a book. She
has read the same number of pages each
day for 5 days. What fraction of the book
does Monica read each day?
Help me pls pls pls
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: