Answer:
0.121
Step-by-step explanation:
From the given information:
Let X be a hypergeometric random variable. i.e X [tex]\sim[/tex] h (x;:6,7,12)
To determine the mean and the standard deviation of X of a hypergeometric random variable; we have:
[tex]\mu_x = E(X)[/tex]
[tex]\mu_x = 6 \times \dfrac{7}{12}[/tex]
[tex]\mu_x =1 \times \dfrac{7}{2}[/tex]
[tex]\mu_x =3.5[/tex]
The standard deviation is :
[tex]\sigma _x = \sqrt{(\dfrac{12-6}{12-1}) \times 6 \times (\dfrac{7}{12})\times (1-\dfrac{7}{12})}[/tex]
[tex]\sigma _x = \sqrt{(\dfrac{6}{11}) \times 6 \times (\dfrac{7}{12})\times (\dfrac{5}{12})}[/tex]
[tex]\sigma _x = \sqrt{\dfrac{35}{44}}[/tex]
[tex]\sigma _x = 0.892[/tex]
However, the inequality for the event showcasing how X exceeds its mean value by more than 1 standard deviation is :
[tex]X \geq \mu_x +\sigma_x[/tex]
[tex]X \geq 3.5 +0.892[/tex]
[tex]X \geq 4.392[/tex]
[tex]X \geq 5[/tex]
∴
[tex]P(X \geq \mu_x + \sigma_x ) = P(X \geq 5)[/tex]
[tex]P(X \geq \mu_x + \sigma_x ) = 0.121[/tex]
Verify the identity.
cot(x - pi/2) = -tan x
Use property...
cot(a+b)=cot a cot b - tan a tan b
a=x b=pi/2
Left side --> cot x+pi/2)=cot x cot (pi/2) - tan x tan (pi/2)
= cot x * 0 - tan x * 1
=0 - tan x
=- tan x
= Right side
Sienna is saving for an MP3 player that costs $200. She has $50 already saved in the bank and is going to save $25 each month.
Answer:
what's the question
Step-by-step explanation:
what is the answer ?
Answer:
b. 5i sqaure root 2
Step-by-step explanation:
first bring out the I then take out the five.
Factorise : (5a-3b)2-1662
pls give step by step
Answer:
6165421
Step-by-step explanation:
whatever you do to 1 side you have to do to the other. add 1662 as the calculation is a minus.
Jacque needs to buy some pizzas for a party at her office. She’s ordering from a restaurant that charges a $7.50 delivery fee and $14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $60.
Each pizza is cut into 8 slices, and she wonders how many total slices she can afford.
Q: What is the largest number of slices that Jacque can afford?
Lets answer the information by making it look like a budget subtraction:
60 = Total
1. Remove the delivery cost, so you can leave the rest of the budget for your pizzas.
60 - 7.50 = 52.50
2. Now, subtract the cost of pizzas multiple times until you reach it to where you dont have enough for another pizza.
52.50 - 14 = 38.50 Pizza 1
38.50 - 14 = 24.50 Pizza 2
24.50 - 14 = 10.50 Pizza 3
Now, theres not enough to buy another.
So, we know that Jacque can only afford 3 pizzas, but she need to calculate the number of slices.
3. Multiply the number of slices by the number of pizzas.
8 x 3 = 24
So, the largest number is 24 slices.
Answer:
60
Step-by-step explanation:
pls help if u can. ty :)
Answer:
1. [tex](x+\frac{3}{2})^{2} -\frac{41}{4} }[/tex]
Step-by-step explanation:
The sides of two similar polygons are in the ratio of 5 : 2. If the area of the smaller polygon is 576 ft2 , what is the area of the larger polygon?
I got 1,440 ft. Is this right?
Answer:
No, 1440 is wrong. The correct answer is 3600
Step-by-step explanation:
A = [tex]a^{2} / b^{2}[/tex]
{(5) / (2)} ^ (2) * 576
25 / 4 * 576
3600
8,3,9,4,10,5 what are the following numbers and explain the pattern
Answer subtract 5, add 6
Step-by-step explanation:
8-5=3
3+6=9
9-5=4
and so on
ANSWER FAST ILL GIVE BRAINLIEST
1. is -50.1 rational or irrational
2. is -50/2 rational or irrational
Answer:
both are rational
Step-by-step explanation:
They are both represented as ab or a/b
what is a rational algebraic expression?
If LN=6x-35 and MN=19 and LM=5x-9,find x.
How do you solve this equation? x/2 - x = x/4 + 6
Answer:
x= - 8
Step-by-step explanation:
multiply both sides by 4 to get rid of the fractions. you should then get:
2x-4x=x+24
then get all the x terms to one side by subtracting by x on each side:
2x-4x-x=24
then simplify:
-3x=24
divide by -3 on each side:
x= - 8
Determine the correct answer when you round to the nearest hundred. "5,264"
I need an answer as soon as possible, please.
Answer:
5,300
Step-by-step explanation:
5 or more raise the score, 4 or less let it rest.
Answer:
5,300
Step-by-step explanation:
buddy im not sure if this is right but i want you to knwo that no one is perfect and i tried plz and thank you
who can answer this?????
Answer:
All is the answer
Step-by-step explanation:
Answer:
Its all.
Step-by-step explanation:
Natural numbers mean terminating numbers.
Find the inverse of the function. Show work.
g(x)= - 3/x-2 +2
Answer:
[tex]\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}[/tex]
Step-by-step explanation:
We are given the function:
[tex]\displaystyle g(x)=-\frac{3}{x-2}+2[/tex]
Let's find the inverse of g.
Call y=g(x):
[tex]\displaystyle y=-\frac{3}{x-2}+2[/tex]
We need to solve for x. Multiply both sides by x-2 to eliminate denominators:
[tex]y(x-2)=-3+2(x-2)[/tex]
Operate:
[tex]yx-2y=-3+2x-4[/tex]
Collect the x's to the left side and the rest to the right side of the equation:
[tex]yx-2x=-3-4+2y[/tex]
Factor the left side and operate on the right side:
[tex]x(y-2)=-7+2y[/tex]
Solve for x:
[tex]\displaystyle x=\frac{-7+2y}{y-2}[/tex]
Interchange variables:
[tex]\displaystyle y=\frac{-7+2x}{x-2}[/tex]
Call y as the inverse function:
[tex]\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}[/tex]
what is the measure of <4?
Answer:
i not sure but i think its 125
Step-by-step explanation
60% sure is 125
Help me please !!!!!!!!!!!!
por favor ayúdeme!!
Answer:
CHEEEEEEEEESE
Step-by-step explanation:
Using the diagram below, what is the horizontal distance between the control tower and the plane?
Answer:
x = 664.093 m
Step-by-step explanation:
tan∅ = opposite over adjacent
Since we are trying to find the horizontal distance, that means we are dealing with the bottom length and not the hypotenuse (the diagonal length):
Our theta (∅) = 52°
Our opposite = 850 m
Our adjacent = x m
tan52° = 850/x
xtan52° = 850
x = 850/tan52°
x = 664.093 m
4. Show that Polygon A is congruent to Polygon B.
A is equivalent to B because if you flip or reflect A, then translate A it overlaps.
1. Draw A's reflection below it: as if you flipped it.
2. Take the drawing and draw it mirroring B
3. Once you draw the second drawing if you moved, translated, it it would fit over the shape of the B polygon.
Reduce the fraction to lowest terms. x^3-x^2/x^4
Answer:
x^3-x^2
_______ = x - 1 / x^2 (simplified by x^2)
x^4 ...?
A store sells jump ropes. Each jump rope costs the same ammout. During a sale the store reduces the price of each jump rope by $1.80. gavin spends $14.38 on 2 jump ropes what was the price of the 1 jump rope before the sale
Answer:
pp
Step-by-step explanation:
Answer:
Before the sale each jump rope costed $8.99
Step-by-step explanation:
If you divide $14.38 by two you get $7.19. Then if you add the $1.80 you get $8.99
describe and correct the error in the solution. (Be specific and explain as
much as you can. What is the correct solution?) *
5(p+3) > 4p + 2
5p+3 > 4p + 2
5p > 4p - 1
p>-1
Use the relation {(3,5),(-4,6),(3,8), (2,4), (1,3). I need help finding the domian and the range!
Answer
-4 3
1 4
2 5
3 6
3 8
Step-by-step explanation:
hope this helps
All of the following expressions are equivalent except _____.
x + (-2)
-2 + x
x - 2
2 - x
Solve for x: 3 < x +3 < 6
Answer: 0< x < 3
Step-by-step explanation:
Hope this helps!
Anya's team won 5 out of every 7 games this season
If the team played 28 games this season how many games did they win?
Answer:
19 games won
Step-by-step explanation:
71 percent times 28 equals 19
Question 9(Multiple Choice Worth 1 points) (01.06 LC) Solve x -5y = 6 for x.
Leo works at McDonalds, and gets paid $8.50 hr. He passed his store’s inspection and received a $100 bonus.
Write an equation that represents the given relationship.
Answer:
$8.50hr+ $100=x
Step-by-step explanation:
His $8.50 per hour is given to him plus $100 bonus.
Somebody, please help me. Please show the work too
Answer:
x = 48
Step-by-step explanation:
0.75x - 9 = 27 / + 9
0.75x = 36 / : 0.75
x = 48