1.5.2. You have a six-sided die that you roll once. Let Ri denote the event that the roll is i. Let Gj denote the event that the roll is greater than j. Let E denote the event that the roll of the die is evennumbered. (a) What is PR3 jG1 , the conditional probability that 3 is rolled given that the roll is greater than 1
Answer:
What is PR3 jG1 , the conditional probability that 3 is rolled given that the roll is greater than 1
=0,02
Step-by-step explanation:
Sample Space for rolling a die, S(1,2,3,4,5,6]
Since all the outcomes are equally P( rolling any numebre)=1/6
G1=(2,3,4,5,6)
Hence P(G1) =P (R2)+P (R3)+P (R4)+P (R5)+P (R6)
Hence P(G1) =5/6
and R3= [3]
Hence G1 ∩ R3 = [3] = R3
Hence P(G1 ∩ R3) =P( R3) =1/6
What is PR3 jG1 , the conditional probability that 3 is rolled given that the roll is greater than 1
P(G1 ∩ R3) / P(G1) = (1/6)/ (5/6=
=0,02
What is the y intercept of the line 3y+8x-18=0?
Answer: y= 8/3x + 6
Step-by-step explanation:
How much water should he use?
enough
lololololololololololol
Answer:
6.25 cups
Step-by-step explanation:
A, B & C form the vertices of a triangle.
CAB = 90°, ABC = 60° and AB = 8.6.
Calculate the length of BC rounded to 3 SF.
BC =
Answer:
BC = 17.2.
Step-by-step explanation:
Since CAB = 90º, this is a right triangle.
The triangle format is given below:
C
A B
We have that AB = 8.6, and angle B measures 60º.
Length of BC:
BC is the hypotenyse.
Side AB is adjacent to angle B = 60º.
In a right triangle, angle [tex]\alpha[/tex], it's adjacent side with length s and the hypotenuse h are related by the cosine of the angle, that is:
[tex]\cos{\alpha} = \frac{s}{h}[/tex]
In this question, we have an angle of 60º, with has cosine 0.5. We also have that side AB = s = 8.6, and the hypotenuse h is side BC. So
[tex]\cos{\alpha} = \frac{s}{h}[/tex]
[tex]0.5 = \frac{8.6}{h}[/tex]
[tex]0.5h = 8.6[/tex]
[tex]h = \frac{8.6}{0.5}[/tex]
[tex]h = 17.2[/tex]
BC = 17.2.
Which soap deal has the lowest price per ounce?
$5.50 for 13.0 oz
$5.75 for 14.0 oz
$3.45 for 3.5 oz
$5.25 for 12.0 oz
There are 23 animals in the barn. Some are chickens some are goats. There are 80 legs in all. How many of each animal is there?
There are 17 goats and 6 chickens
Explaining: (1) C + G = 23
As for legs:
(2) 2C + 4G = 80 (each C has 2 legs and each G has 4 legs)
Solving equation (1): C = 23 - G
Substituting in equation (2)
2(23 - G) + 4G = 80
2G = 34
G = 17
C = 6
How much is a 2/9 pound plus 1/9 pound?
Answer:
1/3 pound.
Step-by-step explanation:
2/9 pound +1/9 pound = (2+1)/9 pound.
This can be simplified to 3/9 pound, or 1/3 pound.
Let me know if this helps!
Answer:
33.333 percent
Step-by-step explanation:
Verify that the following function is a probability mass function, and determine the requested probabilities.
fx = (8/7(1/2)x
x = 0, 1, 2, ...
A. P(X = 2).
B. P(X ≤ 2).
C. P(X > 2).
D. P(X ≥ 1).
Is the function a probability mass function?
Answer:
yes
Step-by-step explanation:
Which numbered choice represents the solution to this system?
y=2x+4
-6x+3y=12
1) (2,8)
2) (-3,-2)
3) (0,4)
4) All are solutions.
Answer:4) All are solutions
Brandon is 5 years older than his brother Hermie. There combined age is 23. How old is Brandon?
Find Brandon's age using the following equation:
2 + (x + 5) = 23
A
9
14
15
Answer:
9
Step-by-step explanation:
9 +5 = 14
14 +9 = 23
want to study procrastination and social anxiety levels in undergraduate students at your university.You send a group email to all students to sign up to be contacted about participating in research.Only 2000 students signed up to be contacted about participating in the research. You choose asample of 100 students using a simple random sample from the students who signed up. You assigna number to every student in the research participant database from 1 to 2000 and use an SRSmethod to select 100 numbers.Is this sample biased
Answer:
Yes. There is a bias in the selected sample.
Step-by-step explanation:
Population of interest = undergraduate students at the university
Respondents to email requests = 2,000 students
Sample size = 100 students
Sample is based on the 2,000 respondents.
Therefore, sample is biased.
b) A sampling method is said to be biased if it systematically favors a group. By making some members of the student population systematically more likely to be selected in a sample than others, there is an occurrence of sampling bias. Usually, findings from biased samples can only be generalized to populations that share characteristics with the sample and to the entire population of interest.
Kimmie sells custom T-shirts for $12 each at the flea market every Saturday She usually sells 36 T-shirts Kimmie surveys her customers about whether they would buy her T-shirts at a different price. She determines that for every $1 increase in price she would sell two fewer T-shirts and for even $1 decrease in price, she would sell two more T-shirts, Which quadratic function can Kimmie use to model price increments vs. total income so that she can find the price at which her income is maximized?
Answer:
y = -2*x² + 60*x
Step-by-step explanation:
The general form of a quadratic function is:
y = a*x² + b*x + c
We need to determine a ; b ; and c. For that we have three conditions therefore
Condition 1 at x = 12 $ each T-shirts kimmie sells 36 units, then she gets
12* 36 = 432 $ or y = 432 and
432 = a(12)² + 12*b + c or 432 = 144*a + 12*b + c
Second condition selling at 13 $ each T-shirt she sells 34 , then
13*34 = 442
442 = a(13)² + 13*b + c or 442 = 169*a + 13*b + c
And the third condition
11*38 = 418
418 = a* ( 121) + 11*b + c 418 = 121*a + 11*b + c
We have a three equation system
432 = 144*a + 12*b + c (1)
442 = 169*a + 13*b + c (2)
418 = 121*a + 11*b + c (3)
We need to solve it for a, b and c
Subtracting (2) - (1) 10 = 25*a + b and subtracting (2) - (3)
24 = 48*a + 2*b
Then b = 10 - 25*a and 24 = 48*a + 2*( 10 - 25*a )
24 = 48*a + 20 - 50*a
24 - 20 = -2*a
4 = - 2*a
a = - 2 and b = 10 - 25*( -2) b = 60
Finally c is: 432 = 144*a + 12*b + c
432 = 144* ( -2) + 12*60 + c
432 = - 288 + 720 + c
432 = 432 + c
c = 0
The quadratic function is:
y = -2*x² + 60*x
whats the GCF for 1248
Answer:
None or 12 depending on what the question is. See explanation below.
Step-by-step explanation:
If the number is 1248:
A single number cannot have a GCF. The GCF has be for at least two numbers.
If the numbers are 12 and 48, then the GCF can be calculated.
Since 12 is a factor of 48, then the GCF of 12 and 48 is 12.
In general, to calculate the GCF do this:
To calculate it, find the prime factors of 12 and 48.
12 = 2^2 * 3
48 = 2^4 * 3
GCF is the product of common factors with lower exponent.
GCF = 2^2 * 3 = 12
what is the difference between 6 and 2 1/5.
Answer:
3.8
Step-by-step explanation:
6 - 2 1/5 = 6 - 11/5
= 6-2.2
=3.8
The difference between the 6 and 2 1/5 will be 3.8
What is a fraction?A fraction represents a part of a number or any number of equal parts. There is a fraction, containing numerator(upper value) and denominator(lower value). When the numerator is less than the denominator, the fraction is called proper fraction, otherwise it is called improper fraction. A proper fraction is also called fraction which is less than 1. A mixed fraction contains a sum of whole number and a proper fraction.
So, WE need to find the difference between the 6 and [tex]2 \frac{1}{5}[/tex].
First we need to convert the mixed fraction into simple fraction.
[tex]2 \frac{1}{5}[/tex] = 11/5
Therefore, the difference between them will be;
6 - [tex]2 \frac{1}{5}[/tex] = 6 - 11/5
= 6 - 2.2
= 3.8
Hence, the difference between the 6 and [tex]2 \frac{1}{5}[/tex] will be 3.8
Learn more about fraction;
https://brainly.com/question/729654
#SPJ2
-4x-y=24 complete the missing value in the solution to the equation
Answer:
point
Step-by-step explanation:
Suppose a car travels 174 miles in 3 ours. How far will it travel in 6 hours?
Answer: 348 miles
Step-by-step explanation:
The car will travel 174 miles in 3 hours, if you multiply 174 x 2, the car will travel 348 miles in 6 hours.
Jamie has $70 in a savings account. The interest rate is 5%,
compounded annually.
To the nearest cent, how much will he have in 2 years?
*pls hurry . *
Answer:
$77
Step-by-step explanation:
10% of 70$ is $7
$70+$7=$77
Factor the common expression: 2x + 4 =
Answer:
2(x+2)
Step-by-step explanation:
Hope it helps you
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Answer:
both x angles are equal to 40 degrees
Answer:
x would equal 40
Step-by-step explanation:
a line is 180, the angle inside the triangle is 100 and x is on both sides that means x would equal 40 because there is 2 x's and 100 is already a number and 180 is a line.
180 = x + x + 100
x + x + 100 - 100 = 180 - 100
x + x = 80
2x = 80
2 ÷ 2x = 80 ÷ 2
x = 40
Sean wants to buy a DVD that sells for $12. An advertisement says that next week that DVD will be on sale for $9. How much money will Gavin save if he waits until next week to buy the DVD
Answer:
98
Step-by-step explanation:
Answer:
$3
Step-by-step explanation:
PLZ HELP NEED THIS TO BE RIGHT AS YOU CAN GET IT
Answer of this qn is. option D hope it helps
A city’s elevation is 140.2 feet below sea level. Between which two integers does this elevation lie?
Answer:
The elevation lies between -140 and -141.
Step-by-step explanation:
The elevation lies between -140 and -141.
Plz guys help me I need help
Answer:
A. f(-1) = -3, f(7) = 13
Step-by-step explanation:
✔️When input (n) = -1:
f(n) = 2n - 1
f(-1) = 2(-1) - 1
f(-1) = -2 - 1 = -3
✔️When input (n) = 7:
f(n) = 2n - 1
f(7) = 2(7) - 1
f(-1) = 14 - 1 = 13
HELP!!
Construct the graph of the direct proportion y=kx for k=0
Answer:
Shown in picture UnU
Which number line diagram represents the solution to the inequality?
A
B
C
D
Answer:
C
Step-by-step explanation:
Which events are independent? Choose all that apply.
A. There is lightning outside. The baseball game is canceled due to lightning,
B. Ahmad flips a coin and records the result. Ahmad flips the same coin again and records the result.
O c. One name is randomly chosen from a bag. The name is not replaced and another name is randomly chosen
D. Jason votes for president of the city council in the morning. Hae Sung votes for president of the city council in the afternoon
Answer:
i'd say the answer is b. i hope this helps
Answer:
B,C,D
Step-by-step explanation:
Find the scale factor
(-3,-12)--->(-2,-8)
(-6,-15)--->(-4,-10)
(-9,-12)--->(-6,-8)
Answer:
2/3 is the scale factor of the sequence
what is the slope intercept form of 7x-5y=15?
Answer:
y=7/5x-3 is the slope intercept form
Pls someone help me!
Answer: Mark me brainliest..
Step-by-step explanation: and imma put the answer inside the comments if you do so. youve got nothing to lose! :D
Heres what i think of this gen z: Gay supporters girls who want boys to wear nail polish and when they say no the girls say girls will never like you and your so insecure when there just peewee 10 year olds and 16 year olds like imagine if they burned in flames forever that would be great they deserve cause people kill themsleves cause of them they are nothing but useless you think supporting something people hate is gonna change but it never will by your own desire you will see your won fate wither you want be with your family or not even if there dead and gone you may think why do people worship god but atleast there good people go do something useful in your life before its gone
Answer:
PrEaCh
Step-by-step explanation:
Answer:
so true
Step-by-step explanation: