Answer:
Since [tex]P(L \cap F) \neq P(L)P(F)[/tex], the outcomes L and F are not independent.
Step-by-step explanation:
Independent events:
Two events, A and B are independent, if:
[tex]P(A \cap B) = P(A)P(B)[/tex]
Are the outcomes L and F independent?
We are given that:
[tex]P(L \cap F) = 0.31[/tex]
Multiplication of the probabilities:
[tex]P(L)P(F) = 0.58*0.5 = 0.29[/tex]
Since [tex]P(L \cap F) \neq P(L)P(F)[/tex], the outcomes L and F are not independent.
PLEASE HELP! The AHS football team did a weigh-in at the start of training camp. The weights of the players were distributed normally with a mean of 98kg and a standard deviation of 6kg. What percentage of players are under 86kg?
Answer:
2.28% of players are under 86kg
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The weights of the players were distributed normally with a mean of 98kg and a standard deviation of 6kg.
This means that [tex]\mu = 98, \sigma = 6[/tex]
What percentage of players are under 86kg?
The proportion is the pvalue of Z when X = 86. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{86 - 98}{6}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a pvalue of 0.0228
0.0228*100% = 2.28%
2.28% of players are under 86kg
Helpppppppppppppppp
Answer:
∠QRT = 42°
Step-by-step explanation:
arc QT + 2(∠QPT = 2(42°) = 84°
arc QT = arc TQ
arc TQ = 2(∠QRT)
84° = 2(∠QRT)
∠QRT = 42°
HELPPPP!!!!!!!!!!!!!
Answer:
Its A
Step-by-step explanation:
ez
Answer:
A
Step-by-step explanation:
y= -3x + 7
how do I find a midpoint between (4,-1) and (-8,3)
Answer:
(-2,1)Step-by-step explanation:
Midpoint formula:
(x1 + x2)/2, (y1 + y2)/2
Substitute needed values.
4 + -8 = -4
-4/2 = -2
Now for the y's
-1 + 3 = 2
2/2 = 1
MIDPOINT: (-2,1)
The hanger image below represents a balanced equation.
Select an equation that represents the image.
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
5m=505m=505, m, equals, 50
(Choice B)
B
\dfrac{m}{5}=50
5
m
=50start fraction, m, divided by, 5, end fraction, equals, 50
Find the value of mmm that makes the equation true.
m=m=m, equals
Answer:
The answer is A
Step-by-step explanation:
5m=505m=505,m equal, 50
What is the value of 7m – 3n when m = 3 and n = 2?
Answer:
It's 15.
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
Plug in m = 3 & n = 2 into the equation.
7(3) - 3(2)
21 - 6
15
Hope this helps & have a great rest of your day!
Find the slope of a line that passes through the points (3,3) and (9, 1). Please simplify any fractions if you have them in your answer.
Answer: -1/3
Step-by-step explanation: slope is the difference in the y values over the difference in the x values
Cindy read 240 minutes last week she read 378 minutes this week how many minutes did she read altogether
Answer:
618
Step-by-step explanation:
They are added
Answer:
240 + 378 = 618
Step-by-step explanation:
an easy way to add big numbers s to break it up into smaller pieces.
Example: 240+378 = (200 + 300 = 500) + (40 + 70 = 110) + (0 + 8 = 8) = 618
-3 (4b + 7) > 3. Plz help I have 5 mins
☁️ Answer ☁️
Inequality Form:
b < −2
❤️
Interval Notation:
(− ∞, −2)
Hope it helps.
Explanation: Have a nice day!~ ￣▽￣
Answer:
b < -2
Step-by-step explanation:
-3 (4b + 7) > 3
-12b -21 > 3
-12b > 3 + 21
-12b > 24
b < 24/-12
b < -2
Which triangles are similar?
23
23
13/12
673
Trianglo A
36
39
15
28
6217
67
15
Triangle c
Trianglo B
O A. Triangles A, B, and C
OB. Triangles B and C
O C. Triangles A and B
D. Triangles A and C
PREVIOUS
Answer:
D. Triangles A and C
Step-by-step explanation:
We can see whether the figures are congruent or not by checking out the similarity ratio
For triangle A and C the side lengths and angle measures are proportional so we can say that these two angles are congruent.
What type of information would you find in a hunting regulations publication?
A.typical weather for each hunting season
B.number of people arrested for poaching
C.number of animals found in each hunting location
D.license, permits, and stamp requirements
Answer:
D
D. license, permits, and stamp requirements
The type of information that determine the hunting regulations publication is option D.
The following information should be considered:
The typical weather should not required. The number of people arrested is not considered.Only license, permits and requirement of stamp should be required.Learn more: brainly.com/question/16911495
Distance between the object you were looking out in the hands lens is the ____.
Answer:
Focal length
Step-by-step explanation:
Not sure tbh
A football team had 32 players last year. This year, the team increased by 25%. How many players are on the team this year
Answer:
40 players
Step-by-step explanation:
Well if it's a 25% increase and 32=100% then 25%=8 players because 32/4=8 then add it to 32 to get 40 players
Answer:
40 players
Step-by-step explanation:
32x0.25=8
32+8=40
Help please I really don’t understand this
Answer:
78.5/250 = 31.4%
Step-by-step explanation:
divide the area of the circle (which is 25π = 78.5 sq in) by the area of the rectangle (which is 25x10 = 250 sq in)
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer: infinitely many solutions
Step-by-step explanation:
3x + 4y = -5 ... 1
6x + 8y = -10 ... 2
Take the second equation and divide by 2
3x + 4y = -10
As you can see, the two equations are exactly the same
So they have infinite solutions
A store is having a sale in which the cost of any item is 35% off. Which expression can be used to find the cost, x, of an item AFTER DISCOUNT?
Answer:
73373773737477374747373738
Please help if Yk the answer.
Answer:25
Step-by-step explanation:
A particle moves along a horizontal line so that its position at time t, t ≥ 0, is given by
s(t) = 40 + te^−t/20.
Find the minimum velocity of the particle for 0 ≤ t ≤ 100.
Answer:
The minimum velocity of the particle = [tex]-e^{-2 }[/tex] units
Step-by-step explanation:
Given - A particle moves along a horizontal line so that its position at time t,
t ≥ 0, is given by s(t) = 40 + te^−t/20.
To find - Find the minimum velocity of the particle for 0 ≤ t ≤ 100.
Proof -
Velocity, v(t) = [tex]\frac{d}{dt}(40 + te^{-\frac{t}{20} } )[/tex]
Now,
[tex]\frac{d}{dt}(40 + te^{-\frac{t}{20} } )[/tex] = [tex]\frac{d}{dt}(40 ) + \frac{d}{dt}(te^{-\frac{t}{20} } )[/tex]
= 0 + [tex]t\frac{d}{dt}(e^{-\frac{t}{20} } ) + e^{-\frac{t}{20} }\frac{d}{dt}(t )[/tex]
= [tex]t(-\frac{1}{20} )e^{-\frac{t}{20} } + e^{-\frac{t}{20} }[/tex]
⇒v(t) = [tex]-\frac{t}{20}e^{-\frac{t}{20} } + e^{-\frac{t}{20} }[/tex]
Now,
For minimum velocity, Put [tex]\frac{d}{dt}(v(t)) = 0[/tex]
Now,
[tex]\frac{d}{dt}[v(t)] = \frac{d}{dt} [ -\frac{t}{20}e^{-\frac{t}{20} } + e^{-\frac{t}{20} } ][/tex]
= [tex]-\frac{2}{20} e^{-\frac{t}{20} } + \frac{t}{400} e^{-\frac{t}{20} }[/tex]
Now,
Put [tex]\frac{d}{dt}(v(t)) = 0[/tex], we get
[tex]-\frac{2}{20} = - \frac{t}{400}[/tex]
⇒t = 40
Now,
Check that the point is minimum or maximum
Calculate [tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex]
Now,
[tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex] = [tex]\frac{d}{dt} [ -\frac{2}{20} e^{-\frac{t}{20} } + \frac{t}{400} e^{-\frac{t}{20} }][/tex]
= [tex]\frac{1}{400}e^{- \frac{t}{20} } [ 3 - \frac{t}{20}][/tex]
⇒[tex]\frac{d^{2} }{dt^{2} } [v(t)][/tex] = [tex]\frac{1}{400}e^{- \frac{t}{20} } [ 3 - \frac{t}{20}][/tex] > 0
∴ we get
t = 40 is point of minimum
So,
The minimum velocity be
v(40) = [tex]-\frac{40}{20}e^{-\frac{40}{20} } + e^{-\frac{40}{20} }[/tex]
= [tex]-2e^{-2 } + e^{-2 }[/tex]
= [tex]-e^{-2 }[/tex]
⇒v(40) = [tex]-e^{-2 }[/tex] units
∴ we get
The minimum velocity of the particle = [tex]-e^{-2 }[/tex] units
let p= fg where f (0,5) and g (-4,-3). what is the direction angle of -3/2p?
Answer: its B) 63
Step-by-step explanation:
On edge 2021
E/f + f/e if e is 15 and f is 9
Answer:
34/15
Step-by-step explanation:
15/9 + 9/15 = 34/15
Answer:
2 4/15 or 2.27 (rounded up)
Step-by-step explanation:
15/9 + 9/15
75/45 + 27/45
102/45
2 12/45
2 4/15
sketch each graph of each line y=-7/3x+4
Answer:
Step-by-step explanation:
Seth invested a certain amount of money and got back an amount of $ 8400. If
the bank paid an interest of $ 700, find the amount Sam invested. *
Answer:
$7700
Step-by-step explanation:
amount invested + interest = total
amount invested + 700 = 8400
Subtract 700 from both sides.
amount invested = 7700
Answer: $7700
Someone please help me
Brian wants to buy a shirt. He can choose
an XL, L, M, S, or XS long-sleeve or
short-sleeve in white, black, pink, or blue.
How many choices of combinations does
he have?
Answer:
40 choices of combinations can be made.
Step-by-step explanation:
Given that Brian wants to buy a shirt, and he can choose an XL, L, M, S, or XS long-sleeve or short-sleeve in white, black, pink, or blue, to determine how many choices of combinations does he have, the following calculation must be performed:
XL + L + M + S + XS = 5
LS + SS = 2
W + B + P + B = 4
5 x 2 x 4 = X
10 x 4 = X
40 = X
Thus, 40 choices of combinations can be made.
Through part of the 2017-18 National Basketball Association (NBA) season,
two players had these statistics for the number of points they scored.
Anthony Davis Kevin Durant
Points per game (mean): 25.9 26.0
Mean average deviation: 6.6
Based on these data, which statement is true?
4.3
A. On average, Kevin Durant scored many more points. The number
of points Durant scored also varied more.
B. On average, Anthony Davis scored many more points. The number
of points Davis scored also varied more.
C. On average, the two players scored about the same number of
points. The number of points Davis scored varied more.
D. On average, the two players scored about the same number of
points. The variation in the number of points scored was also
about the same
-12(x - 3) - (2x - 6) = 60
Answer:
x=-9/7
Step-by-step explanation:
Answer:-12(x - 3) - (2x - 6) = 60
= -12 OJHORZHOEHFOSDHSKDKCDEZIAIFDNSQDKFFFFFFFFFFFFZIDJAZIFJOIJF
Step-by-step explanation:
EFKJNDOIDNOIEFJOAIZFOUJFNJBVJFNVJNZJCN
The vaccination center located at Watsessing school supplies turkey and
veggie sandwiches to all workers. Mr. Milano organized the ordering of 80
sandwiches in all, 90% of which were turkey. How many turkey sandwiches did
they serve?
A university class has 29 students: 14 are accounting majors, 9 are business majors, and 6 are history majors. The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that the first student selected is an accounting major and the second student is a history major
Answer:
0.1034 = 10.34% probability that the first student selected is an accounting major and the second student is a history major
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
14 account majors from a set of 29 students.
Then, 6 history majors from a set of 29 - 1 = 28 students.
So
[tex]p = \frac{14}{29}*\frac{6}{28} = \frac{14*6}{29*28} = 0.1034[/tex]
0.1034 = 10.34% probability that the first student selected is an accounting major and the second student is a history major
How many gallons of pure water should be added to 10 gallons of a solution containing 15% juice so that the remaining solution contains 5% juice?
Answer:
20 gallons
Step-by-step explanation:
10 gallons of solution w/ 15% juice means 1.5 gal of juice
to make it into 5%, multiply 1.5 by 20
1.5 x 20 = 30
5% of 30 gallons is 1.5 since 10% of 30 is 3.
Since there was already 10 gallons, the # of gallons of pure water added should be 20 gal.
I hope this helps thanks
Answer:
What is the amount of juice in the original solution? a =
✔ 1.5
What is the original amount of solution in gallons? b =
✔ 10
How much juice is added? c =
✔ 0
How much total solution is added? d =
✔ x
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
comparing both equations
-2x-1=3x+4
or, -1-4 =3x+2x
or, -5=5x
or, X= -1
Y= -2x-1
or, Y= -2(-1)-1
or, Y=1
hence, ( -1,1)