6 1/8
6 1/8
this is the answer
Events A and B are dependent. Find the missing probability.
P(A) = 0.6
P(B\A) = 0.2
P(A and B) = ???
Answer:
P(A and B) = 0.12
Step-by-step explanation:
Conditional Probability
Is a measure of the probability of the occurrence of an event, given that another event has already occurred. If event A has occurred, then the probability that event B occurs is given by:
[tex]{\displaystyle P(B\mid A)={\frac {P(B\cap A)}{P(A)}}}[/tex]
Where [tex]P(B\cap A)[/tex] is the probability that both events occur and P(A) is the probability that A occurs.
We are given P(A)=0.6, P(B\mid A)=0.2, and it's required to find P(B\cap A). Solving for the required variable:
[tex]P(B\cap A)=P(B\mid A)*P(A)[/tex]
[tex]P(B\cap A)=0.2*0.6=0.12[/tex]
P(A and B) = 0.12
Determine the solution 5(2x-6)=7x-3
Answer:
X=9
Step-by-step explanation:
10x-30 = 7x-3
10x-7x = -3 + 30
3x = 27
x=9
2p+18=200 solve for p show your work
Answer:
91
Step-by-step explanation:
2p+18=200
subtract 18 on both sides
2p=182
Divide 2 on each side
p=91
Answer:
p=91
Step-by-step explanation:
2p+18=200
p+9=100 (Divide both sides by 2)
p=91 (Subtract 9 from both sides)
What is the sample space of rolling a 6 sided number cube? SELECT ALL THAT APPLY
1
2
3
4
5
6
Answer:
Its all of them or just 6
Step-by-step explanation:
Which point is located at (1, 2)?
5
A
4
3
2
1
-5-4-3-2
4
9
-2
3
-4
45
D
ОВ
Answer:
A
Step-by-step explanation:
find the value of x in the following parallelogram:
6x-15=5x+10=x+15
Answer:
x=6
Step-by-step explanation:
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood. Assume this estimate is
correct. Suppose researchers choose 7 baby elk at random to monitor. Let X = the number that survive to adulthood.
What is the probability that more than 4 elk in the sample to survive to adulthood?
O 0.6294
O 0.2304
0.8598
0.1402
O 0.3706
Answer:
0.1402
Step-by-step explanation:
For each baby elk, there are only two possible outcomes. Either they survive adulthood, or they do not survive. The probability of an elk surviving adulthood is independent of other elks. So we use the binomial probability distribution 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.
Biologists estimate that a randomly selected baby elk has a 44% chance of surviving to adulthood.
This means that [tex]p = 0.44[/tex]
Suppose researchers choose 7 baby elk at random to monitor.
This means that [tex]n = 7[/tex]
What is the probability that more than 4 elk in the sample to survive to adulthood?
This is:
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 5) = C_{7,5}.(0.44)^{5}.(0.56)^{2} = 0.1086[/tex]
[tex]P(X = 6) = C_{7,6}.(0.44)^{6}.(0.56)^{1} = 0.0284[/tex]
[tex]P(X = 7) = C_{7,7}.(0.44)^{7}.(0.56)^{0} = 0.0032[/tex]
[tex]P(X > 4) = P(X = 5) + P(X = 6) + P(X = 7) = 0.1086 + 0.0284 + 0.0032 = 0.1402[/tex]
0.1402 probability that more than 4 elk in the sample to survive to adulthood.
Using the concept of binomial probability, the probability that more than 4 survive is 0.1402
Using the binomial probability formula :
[tex] P(x = x) = nCx \times p^{x} \times q^{(n-x)} [/tex] p = probability of success = 0.44q = 1 - p = 1 - 0.44 = 0.56 n = number of trials = 7The probability that more than 4 survive can be defined thus :
[tex] P(x > 4) = p(x = 5) + p(x = 6) + p(x = 7) [/tex]Using a binomial probability calculator :
[tex] P(x > 4) = 0.1086 + 0.0284 + 0.0032 [/tex]
[tex] P(x > 4) = 0.1402 [/tex]
Hence, the probability that more than 4 survive is 0.1402
Learn more : https://brainly.com/question/15929089
Seven more than three times a number is thirty-one. Write an equation
and solve for the unknown number.
Answer:
As an equation, (we'll use x as the variable), that word problem is 3x+7=31.
To solve we'd subtract 7 from both sides to isolate 3x, which gives us 3x=24. Now, to isolate x(unknown number) we would divide both sides by 3. When you divide both sides by 3, you'd get x=8.
What is an angle that is complementary to DGE?
(Please hell I’ll reward)
Answer:
<CGD
Step-by-step explanation:
Since m<CGB = right angle = 90°, therefore:
m<CGE = 90° (linear pair angles)
Complementary angles add up to 90°.
Thus, m<CGD + m<DGE = m<CGE = 90°.
Therefore, the angle that is complementary to <DGE is <CGD
the product of two number is 20 and the sum of square is 41 find the number
Let the two number is a and b
so,
product =ab=20
sum of square=[tex]\bold{a^2+b^2=41 }[/tex]
Then,
[tex]\bold{(a+b)^2=a^2+b^2+2ab }[/tex]
[tex]\bold{ (a+b)^2=41+2×40 }[/tex]
[tex]\bold{ (a+b)^2=81 }[/tex]
[tex]\bold{a+b=\sqrt{81} }[/tex]
[tex]\bold{a+b=9 }[/tex]•••••••••(equation I)
Now,
[tex]\bold{(a-b)^2=a^2+b^2-4ab }[/tex]
[tex]\bold{ (a-b)^2=41-4×20 }[/tex]
[tex]\bold{(a-b)^2=41-40 }[/tex]
[tex]\bold{a-b=\sqrt{1} }[/tex]
[tex]\bold{a-b=1 }[/tex]••••••••(equation II)
Now,combine the equation I and equation II
we,get
[tex]\bold{a+b+a-b=9+1 }[/tex]
[tex]\bold{a+\cancel{b}+a\cancel{-b}=10 }[/tex]
[tex]\bold{ 2a=10 }[/tex]
[tex]\bold{a=\dfrac{10}{2} }[/tex]
[tex]\blue{\boxed{ a=5 }}[/tex]
Then,
put the value of a in equation II.
we get that,
[tex]\bold{5-b=1 }[/tex]
[tex]\bold{b+1=5 }[/tex]
[tex]\bold{b=5-1 }[/tex]
[tex]\bold{\boxed{\blue{b=4}} }[/tex]
so,
The two number is 5 and 4.
28) Solve the inequality: 12x−10>170
A. x>15
B. x<−90
C. x<−58
D. x<15
Answer:
p=5x+3y
solve for x, number of cupcakes. isolate x
5x=p-3y
divide by 5
x=(p-3y)/5
Step-by-step explanation:
D. x<15
Angle A is circumscribed about circle O. What is the measure of A?
Answer:
88°
Step-by-step explanation:
Connect A to O, you'll have 2 same right triangles and angle COB is going to be split in half.
Answer:
88
Step-by-step explanation:
I need help! Thanks!
Please help. The few questions I need help with are in the image below. Thanks.
Answer:
3) 21/60= 0.35
4) 5/4= 1.25
5) 9/15= 0.6 or 2/3
6) 378/15= 25.2 or 25 and 1/5
7) 1 1/2/ 2/3= 2.5
8) 28 1/3 / 3 1/3= 8.5
Step-by-step explanation:
hope this helps!
mark me brainliest please!
9. Translate the sentence into an equation and solve. Use x as the variable.
The difference between six times a number and four is equal to fifty.
A. 6(x-4) = 50; x = 9
B. 6x - 4 = 50; x = 9
C. 6 +X-4 = 50; x = 12
D. 6x-4 = 50; x = -9
Answer:
Option B: 6x-4=50; x=9 is the correct answer.
Step-by-step explanation:
Given that:
x is the variable used for number.
6 times a number means 6x and difference means subtraction.
Thus according to given statement;
6x - 4 = 50
Adding 4 on both sides
6x - 4 + 4 = 50+4
6x = 54
Dividing both sides by 6
[tex]\frac{6x}{6}=\frac{54}{6}\\x=9[/tex]
Hence,
Option B: 6x-4=50; x=9 is the correct answer.
If three pounds of bananas cost $4.50 find the cost of 10 pounds of bananas
Answer:
45
Step-by-step explanation:
4.50 × 10 =45!
.
.
.
.
.
.?
.
.
.
.
.
Answer:
$15
Step-by-step explanation:
$4.50 time 3 = $13.50 (9 lbs)
$4.50 divided by 3 = $1.50 (1 lb)
$1.50 plus $13.50 = $15
517 37/50 + 312 3/100
Answer: 829 3/4 or 829 75/100
Step-by-step explanation:
Which graph shows the solution set for 2 x + 3 greater-than negative 9?
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
I''m pretty sure it's A
GIVE THE CORRECT ANSWER AND I WILL THANK, RATE 5 STARS, AND GIVE BRAINLIEST!!!
System Of Equations:
Solve by substitution:
y = 2x + 3
4x + y = -3
Group of answer choices
(-1 , -1)
(-1 , 1)
(1 , 1)
(5 , 7)
Answer:
(-1,1)
Step-by-step explanation:
4x+2x+3=-3
6x+3=-3
6x=-6
x=-1
y=2(-1)+3
y=-2+3
y=1
(1- 7n) • 5 simplify thank you
Answer:
5-35n
Step-by-step explanation:
5-35n
Just open the parenthesis and multiply by 5.
Answer:
5-35n
Step-by-step explanation:
how do i the find the slope?
(btw i know how to do [m=change in y and x] thingy, but i just cant seems to get the right answer.)
Step-by-step explanation:
[tex]x ^{1} = - 5 \\ y ^{1} = - 2 \\ x {}^{2} = - 2 \\ y {}^{2} = 1 \\ then \: you \: solve \: with \: that \: formula \: you \: know[/tex]
Is 3/2 less than greater than equal than 1
Answer:
greater than
Step-by-step explanation:
2/2 = 1
3/2 = 1 1/2
The mean of the heights of three buildings A,B and C is 14.2m. The mean of the heights of five buildings A,B,C, D and E is 14.8m. Find the mean of the heights of the buildings D and E.
========================================================
Work Shown:
s = sum of the heights of buildings A,B,C
s/3 = mean of the heights of buildings A,B,C
s/3 = 14.2
s = 3*14.2
s = 42.6
The buildings A,B,C have their heights add up to 42.6
--------------
r = sum of the heights of buildings A,B,C,D,E
r/5 = mean of the heights of buildings A,B,C,D,E
r/5 = 14.8
r = 5*14.8
r = 74
--------------
r-s = (sum of heights of A,B,C,D,E)-(sum of heights of A,B,C)
r-s = sum of the heights of buildings D and E
r-s = 74-42.6
r-s = 31.4
(r-s)/2 = mean height of buildings D and E
(r-s)/2 = 31.4/2
(r-s)/2 = 15.7 meters is the average height of buildings D and E.
PLZ HURRY
Which linear function has the steepest slope?
Answer:
The chart has the steepestt slope
Step-by-step explanation:
The graph has a slope of -3 since it is falling
ANd the table gets you a slope of 1
1>-3
So the table/chart has the steeper slop
PLEASE HELP IT IS 6th GRADE MATH!!!!!
Answer:
19
Step-by-step explanation:
[tex]\frac{17b - a^{2} }{2}[/tex]
Substitute the "a" and "b"
a = 8
b = 6
[tex]\frac{17 * 6 - 8^{2} }{2}[/tex]
[tex]\frac{17 * 6 - 64}{2}[/tex]
[tex]\frac{102 - 64}{2}[/tex]
[tex]\frac{38}{2}[/tex]
[tex]19[/tex]
Hope this helped!
Have a supercalifragilisticexpialidocious day!
please answer thank you
Answer:
8.1 for the 2th awnser
Step-by-step explanation:
1.4 + 5.9+2.2=8.1
Answer:
z (3.4 + 4.6 + 2.2)
:)
5. Emma, Brandy, and Damian will cut a rope that is 29.8 feet long into
3 jump ropes. Each of the 3 jump ropes will be the same length. Write a
division sentence using compatible numbers to estimate the length of
each rope
Answer:
29.8÷3=9.93333333333
Step-by-step explanation:
*note* the 3 is a repeating number
i need help with finding area whats the area of a 3m an 7m regtangle
Answer:
34
Step-by-step explanation:
Answer:
Area of rectangle =LXB
L=7m
B=3m
so 7m multiply by 3m gives 21 so the area is 21
36 over 9 = g over 1
Answer:
4/1
Step-by-step explanation:
g is 4
Elaine can travel 63 meters in 3 second what is Elaine rate of speed?
Answer:
75,600 m/h (21 m/s, 0.02 km/h)
Step-by-step explanation:
Hey there!
The answer to your question is [tex]21 mps[/tex]
To find the rate of speed, we have to find the meters per second, or mps. The formula for this is [tex]\frac{distance}{time} = speed[/tex]. So:
[tex]\frac{63}{3} = s[/tex]
[tex]21 = s[/tex]
This means that the speed is 21 meters per second, or 21 mps.
Hope it helps and have an amazing day!