Assume the random variable X is normally distributed with mean = 50 and standard deviation = 7. Compute the probability, P(X > 35). Be sure to draw a normal curve with the area corresponding to the probability shaded.
Answers
Answer:
P [ X > 35 ] = 0,983 or P [ X > 35 ] = 98,3 %
Step-by-step explanation: See Annex valid region for 98,3 in red lines
P [ X > 35 ] = 1 - P [ X ≤ 35 ]
P[ X ≤ z ] = ( X - μ₀ ) / σ
P [ X ≤ 35 ] = ( 35 - 50 ) / 7
P [ X ≤ 35 ] = - 15 / 7
P [ X ≤ 35 ] = - 2,1428
We find for z(score) = - 2,14 in z-table the value of 0,01618
P [ X ≤ 35 ] = 0,01618 or P [ X ≤ 35 ] ≈ 1,62 %
And
P [ X > 35 ] = 1 - 0,01618
P [ X > 35 ] = 0,983 or P [ X > 35 ] = 98,3 %
Related Questions
-1/5 = cos1.2k . find k
Answers
Answer:
cos.1.1k
Step-by-step explanation:
Let x be the particular solution
Answers
Answer:
[tex]f(x)=\sqrt{\frac{1}{4x^2-3}}[/tex] for [tex](-\infty, -\sqrt {\frac 3 4 })[/tex] and [tex](\infty, \sqrt {\frac 3 4 })[/tex] .
Step-by-step explanation:
The given differential equation is [tex]\frac{dy}{dx}=-4xy^3[/tex]
Rearranging it as
[tex]y^{-3}dy=-4xdx \\\\\frac{y^{-3+1}}{-3+1}=-4\frac{x^2}{2}+C \\\\\frac{y^{-2}}{2}=4\frac{x^2}{2}+C \\\\y^{-2}=4x^2+C\cdots(i)[/tex]
where C is constant.
The initial condition is f(-1)=-1, i.e for x=-1, y=-1.
So, by using the initial condition to get the value of constant:
[tex](-1)^{-2}=4(-1)^2+C \\\\1=4+C \\\\C=1-4=-3[/tex]
From equation (i), we have
[tex]y^{-2}=4x^2+(-3) \\\\y^2=\frac{1}{4x^2-3} \\\\y=\sqrt{\frac{1}{4x^2-3}} \\\\[/tex]
As y=f(x), so the required particular solution
[tex]f(x)=\sqrt{\frac{1}{4x^2-3}}[/tex]
Now, determining the domain of the function
As for a real value output, the term under square root must be positive.
So,
[tex]\frac{1}{4x^2-3} >0 \\\\\Rightarrow 4x^2-3 >0 \\\\\Rightarrow x^2 > \frac 3 4 \\\\\Rightarrow |x|>\sqrt {\frac 3 4 } \\\\\Rightarrow x> \sqrt {\frac 3 4 } \; and \; x< -\sqrt {\frac 3 4 }[/tex]
Therefore, the domain of the function is
[tex](-\infty, -\sqrt {\frac 3 4 }) \;and\; (\infty, \sqrt {\frac 3 4 })[/tex]
Hence, [tex]f(x)=\sqrt{\frac{1}{4x^2-3}}[/tex] for [tex](-\infty, -\sqrt {\frac 3 4 })[/tex] and [tex](\infty, \sqrt {\frac 3 4 })[/tex] .
3. Which of these numbers is classified as both real and rational? (1 point
O/17
O9
2
O
Type here to search
Í
Answers
Answer:
2 and 09 but if it's just one option, pick 2
Step-by-step explanation:
the others aren't rational i think
Help please
The answer choices are
A) x=3/x
B)x=9/x
C)0=3/x+x
D)0=9/x+x
Answers
Answer:
A
Step-by-step explanation:
amy can run the 150 meter dash in 50 seconds. john can run 1200 meters in 400 seconds. who runs faster per second?
Answers
Answer:
Amy
Step-by-step explanation:
amy completed a longer distance in a shorter amount of time
rather than john completed a shorter distance in a longer time
4 less than a number n is -15
N= ?
Answers
Find the percent increase or decrease for each of the following values (Indicate whether each is an increase or a decrease).
1/2 q to 7/8 q
Answers
Answer: the decreases is 4% over 2% and the increase is thx for the points
Step-by-step explanation:
Helppppppppppppp ASAP
Answers
Answer:
Option C and D
Step-by-step explanation:
For a quadratic function having no x-intercepts the discriminant should be less than 0 .
[tex]D=b^2-4ac[/tex]
Now if this is less than zero if we plug in the values of a, b and c the square root of a negative number cannot be calculated thus giving us no real x-intercepts.
[tex]x=-b+-\frac{\sqrt{b^2-4ac} }{2a} \\\\x=-b+-\frac{\sqrt{D} }{2a}[/tex]
Here we can see that if we the value of D is less than zero the square would not be possible thus our correct choices are ,
Option C and D
What is the value of : 7+8×2-6+3
Answers
Answer:
The value is 20.
Step-by-step explanation:
To solve this equation, you must use the method of PEMDAS. In this order, you should multiply 8 by 2 first to get 16 for the first part of your answer. Your equation should now be 7 + 16 - 6 + 3. You can now solve this equation from left to right manually. Add 16 from 7 to get 23, subtract 6 from that number to get 17 and add 3 to get your final answer which is 20.
Answer:
27 :)
Step-by-step explanation:
7+8=15
15x2=30
30-6=24
24+3=27
A coffee shop uses 4 liters of milk every day.
a. If there is 15 L of milk in the fridge, after how many days will more milk need to be purchased?
b. If only half as much milk is used each day, after how many days will more milk need to be purchased?
Answers
Answer:
a. 15L will last the cafe 3 days if they're using 4L every day
b. 15L will last them 7 days if they're using 2L every day
Step-by-step explanation:
division.
Yall i need this to be corret please explain giving brainliest please
Answers
Answer:
A) both expression involve addition
Write the following series in sigma notation. 4 + 13 + 22 +31 + 40 + 49 + 58
Answers
Answer:
\sigma_{k = 0}^6 (4+9k)
Step-by-step explanation:
notice that the sequence is
a(k)=4+9k
for k=0,1,...,6
Select the correct answer
Jay and Kevin are showing the snow off a driveway. Working together, they can dear the driveway of snow in 14 minutes. Working alone
would take en 21 minutes longer to clear the driveway of snow than it would take jay working alone. When the number of minutes
would take ay to dear the driveway of snow when working alone, the situation is modeled by this rational equation
How long would it take jay to dear the driveway of snow working alone!
Answers
Answer:
7 minutes
Step-by-step explanation:
When Jay and Kevin work together to clear the driveway of snow it takes an average of 14 minutes. If Jay or Kevin works alone to clear the driveway he can clean it in 21 minutes. In total if Jay works alone then he can clean the driveway by spending additional 7 minutes.
Answer:
21
Step-by-step explanation:
–5(–2) =
Please Show How You Did it :)5
Answers
Answer:
10
Step-by-step explanation:
well you are multiplying -5 and -2. When multiplying two negative numbers you get a positive. 5x2= 10.
plz help me with this will give 25 points, please
Answers
Answer:
all girls are the same bro
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
An easy way is to just count the grids blocks, which are squares.
There are 18 of these.
For the rest, since they are in the shape of a triangle, they will count as a half grid block.
There are 4 of these, which are 4 halfs, which equal to 2 square blocks.
Add them, 18+2=20
Which graph represents r = 2 + 2 cos(θ)?
Answers
Answer:Second Graph
Step-by-step explanation:
Did it on Edge
Answer:
second graph
Step-by-step explanation:
which equation has a value greater than -6 and less than 15?
Answers
Answer:
I belive it would be D
Step-by-step explanation:
-5+i/2i how do I break this down?
Answers
Answer:
i2 = -1Step-by-step explanation:
5i ⋅i⋅(−2i)= −
10 ⋅ i2 ⋅ i= − 10 ⋅ (−1) ⋅ i = 10i
Which describes the measure of a person's financial worth, determined by
adding everything that a person owns, and subtracting everything that the
person owes?
A. Owner's equity
B. Net worth
C. Liability capital
Answers
Answer:
Net Worth
Step-by-step explanation:
Save
Next
26)
Jeff's school is selling raffle tickets for $1 each. Of all the money collected from the sale of raffle tickets, 80% will go
to a scholarship fund, and 20% will go to the winner of the raffle. Jeff boughts of the 750 raffle tickets sold. What is
the expected payoff for Jeff when playing the raffle, and what does it mean?
A)
-$4, which means that Jeff can expect to lose $4
B)
- $1, which means that Jeff can expect to lose $1
C)
-$0.80, which means that Jeff can expect to lose $0.80
D)
-$4, which does not mean that Jeff can expect to lose $4 - only that he
could expect to lose $4 on average if the same scenario were repeated
many times
- $1, which does not mean that Jeff can expect to lose $1 - only that he
could expect to lose $1 on average if the same scenario were repeated
E)
many times
no
Answers
Answer:it’s D
Step-by-step explanation:
What is the oposite of 42
Answers
Step-by-step explanation:
i think its 24
sorry, if its wrong
42 is an integer, for me i can assume you asking about the additive opposite.
so, the answer is -42
please hurry! which of the following is true?
Answers
Answer: it would be the first option. they are both the first letters of their little cluster of letters (don't judge, i have no idea what it's called haha) and the rest of them do not match up. so, it is the first answer.
Answer:
answer: A
Step-by-step explanation:
They are all incorrect besides A
The age in United States has a normal distribution with a mean 46 years and standard deviation 13 years. The children are classified as those younger than 18 years and the middle age citizens are those in the age group 18-55. If a citizen is randomly chosen, what is the probability that he/she is middle age
Answers
Answer:
0.74
Step-by-step explanation:
The middle age citizens are those in the age group of 18-55.
We solve this question using z score formula
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
Mean 46 years
Standard deviation 13 years
For x = 18 years
z = 18 - 46/13
z = -2.15385
Probability value from Z-Table:
P(x = 18) = 0.015626
For x = 55 years
z = 55 - 46/13
= 0.69231
Probability value from Z-Table:
P(x = 55) = 0.75563
The probability that he/she is middle age is
P(x = 55) - P( x = 18)
= 0.75563 - 0.015626
= 0.740004
Approximately = 0.74
m+1=4m-32 solve for m.
Answers
M+1 = 4m -32
Add like terms
Minus 4m on both sides
And minus 1 on both sides
-3m =-33
Divide by -3
M =11
The function f left parenthesis x right parenthesis represents the monthly earnings of a sales executive, which consists of a base salary and a commission earned on each sale, where x is the number of sales. What does the value of f left parenthesis 0 right parenthesis represent?
base salary
number of sales
monthly earnings
commission earned
Answers
Answer:
base salary
Step-by-step explanation:
plz answer correctly will give 30 points.
Answers
Answer:
20
Step-by-step explanation:
trust me.
Answer:
20
Step-by-step explanation:
The base square itself is 4 x 4 which is 16, then there are 4 halfs which makes 2 more and the other 2 in that 2 triangles so 20
Aden records the height of a stack of building blocks as he adds blocks to the top of the stack. The graph shows the height, in
inches, based on the number of building blocks in the stack.
Height of Building Blocks Stack
20
18
16
14
12
Total Height (inches)
10
8
6
4
2
5 10 12 16 10 20 X
Building Blocks
Which statement best interprets the unit rate of the situation?
OA. For every 2 blocks added to the stack, the height increases by } of an inch.
Each building block added to the stack increases the height by or an inch.
Oc. Each building block added to the stack increases the height by 2 inches.
ОВ.
Answers
Which inequality represents the graph below?
Answers
Answer:
y=-2/3x+3
Step-by-step explanation:
because -2/3 is the slope, y int 3
WILL GIVE BRAINLIEST
Answers
Step-by-step explanation:
[tex]\qquad\quad {:}\leadsto\sf \dfrac {2x (x+7)}{\cancel{(x-3)}}\times {\dfrac {(x-9)\cancel{(x-3)}}{8x^2 (x+7)}}[/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac {2x\cancel{(x+7)}}{x-3}\times {\dfrac {x-9}{8x^2 \cancel{(x+7)}}}[/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac{2x (x-9)}{8x^2}[/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac {\cancel{2x}^2-18x}{\cancel{8x}^2}[/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac {18x}{4}[/tex]
[tex]\qquad\quad {:}\leadsto\sf \dfrac {9x}{2}[/tex]
[tex]\qquad\quad {:}\leadsto\sf 4.5x [/tex]
The graph shown can be used to solve which of these systems of equations?
A)
y = -7x and y = x - 78
B)
y = -7x and y = x2 - 78
C)
y = 7x and y = x - 78
D)
y = 7x and y = x2 - 78
Answers
Answer: It is B
Step-by-step explanation:
Just took the test
