Answer:
mean = 2
standard deviation = 1.3
Step-by-step explanation:
For a binomial random variable X, we can use this formula for mean:
meanX = np
We use this formula for the standard deviation:
sdX = sqrt(np(1 - p))
--------------------------------------------------------------------------------------------------
Since a turn consists of rolling 12 dice, we have n = 12.
The dice are fair and 6-sided, so the probability that each die lands showing "1" is p = 1/6.
meanX = np
= (12)(1/6)
= 2 dice
sdX = sqrt(np(1 - p))
= sqrt((12)(1/6)(5/6))
≈ sqrt(1.667)
≈ 1.291 dice
The mean and standard deviation of the game of luck are;
Mean = 2
Standard deviation = 1.29
We are told that a turn consists of rolling 12 fair six sided dice.
Thus;
n = 12
Probability of each one six sided die showing 1 is;
p = 1/6
Now,the formula for the mean is;
E(X) = np
Plugging in the relevant values gives;
E(X) = 12 × 1/6
E(X) = 2
Now, for the standard deviation, we will use the formula;
Standard deviation = √(np(1 - p))
Plugging in the relevant values;
Standard deviation = √((12 × 1/6)(1 - 1/6))
Standard deviation = 1.29
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4. Write each Radical in Simplified Form (No Decimals.)
A) V28
B) 500
C) 7162
Answer:
[tex]\sqrt{28} = 2\sqrt{7}[/tex]
[tex]\sqrt {500} = 10 \sqrt {5[/tex]
[tex]\sqrt {162} = 9 \sqrt {2[/tex]
Step-by-step explanation:
Given (Correct Parameters)
[tex]\sqrt {28[/tex]
[tex]\sqrt {500[/tex]
[tex]\sqrt {162[/tex]
Required
Express in simplified form
[tex]\sqrt {28[/tex]
Express 28 as 4 * 7
[tex]\sqrt{28} = \sqrt{4} * \sqrt{7}[/tex]
Take positive square root of 4
[tex]\sqrt{28} = 2 * \sqrt{7}[/tex]
[tex]\sqrt{28} = 2\sqrt{7}[/tex]
[tex]\sqrt {500[/tex]
Express 500 as 100 * 5
[tex]\sqrt {500} = \sqrt {100} * \sqrt {5[/tex]
Take positive square root of 100
[tex]\sqrt {500} = 10 * \sqrt {5[/tex]
[tex]\sqrt {500} = 10 \sqrt {5[/tex]
[tex]\sqrt {162[/tex]
Express 162 as 81 *2
[tex]\sqrt {162} = \sqrt {81} * \sqrt {2[/tex]
Take positive square root of 81
[tex]\sqrt {162} = 9 * \sqrt {2[/tex]
[tex]\sqrt {162} = 9 \sqrt {2[/tex]
Write the answer with the correct number of significant digits. Don't use any commas in your answer. Only use a
decimal point in your answer if it is necessary to show the correct number of significant digits.
386 x 21 =
What is the height of the trapezoid?
The area of the trapezoid is 40 square units.
6
h
O 3 units
O 5 units
O 10 units
O 12 units
10
Answer:
the answer is 5 I had to have 20 characters So imma put this
START
Step-by-step explanation:
its 5 units
The only feelings needed are sad and mad. Prove me wrong
Answer:
ur not wrong tho dang bcs those are like our main emotions sad and mad
You need happiness for your mental health!
-2x+2y=6
y=3 ft me after ill paypal u 252 622 0255
Answer:
-2x +6 = 6
-2x = 6- 6
-2x =0
x = 0
Answer:
X= -3+y
Step-by-step explanation:
Ski rentals are $100 plus $18 per hour, as shown in the table above.
1. Write an equation that represents this data using function notation. Let x represents the time in hours and f (x) represents the rental cost.
2. What would be f (6)? Show your work.
3. If f (x) = 235, what is x? Show your work.
BE SURE TO LABEL YOUR RESPONSES 1, 2, AND 3.
Answer:
1. f(x)=18X +100
2:108
3. 7.5
Step-by-step explanation:
Answer:
-i
Step-by-step explanation:
show work please thanks
Answer:
(6,15)
Step-by-step explanation:
(x,y)
x value is 6(x goes by one)
y value is 15
jim can paint 5 chairs with 11.3 gallons of paint how many chairs can he paint with 24.86 gallons
An actor was paid $2.1 x 10^6 (this an exponent) to star in a movie. If the
movie was 1 hr 45 min long, what was the actor's salary
per minute? Give your answer standard form.
Answer:
Step-by-step explanation:
one hour and 45 min=60+45=105 minutes
2.1x 10^6=210x 10^4 , i multiplied 2.1 by 100
210 x 10^4/105=2 x10^4=20,000/min
Evaluate the expression below when x = 24 and y = 6.
sy
What is the inverse function of
Answer:
Step-by-step explanation:
i think its C? dont take my word for it
IGNORE MY ANSWERS BUT WILL SOMEONE PLEASE HELP ME!!!!!!!!!!!! 15 POINTS ON THIS QUESTION
Answer:
A=0 B=7 C=3 D=9 E=9 F=3 G=1 H=5 J=7 K=5
L=1
Step-by-step explanation:
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainliest if right!!!
In a 33' by 69.7' room, what is the diagonal length from corner to corner along the floor?
Answer:
77.12 feets
Step-by-step explanation:
In a 33' by 69.7' room, what is the diagonal length from corner to corner along the floor?
Step one:
given data
Length of the room= 33 feets
width of the room = 69.7 feets
Required
The diagonal of the room
Step two:
from Pythagoras theorem
z^2= x^2+y^2
substitute
z^2= 33^2+ 69.7^2
z^2=1089+4858.09
z^2=5947.09
z=√5947.09
z=77.12 feets
Simplify this expresion.
(6x^5/2x^2)^2
Answer:
9x^14
Step-by-step explanation:
PEMDAS
do whats in the parenthesis then do the ^2
Answer:
9x^6
Step-by-step explanation:
1. Cancel the common factor of 6 and 2.
---> (3x^5 / ^2)^2
2. Cancel the common factor of x^5 and x^2.
---> (3x^3)^2
3. Simplify the expression.
---> 9x^6
A soccer ball has a mass of about
425 grams. A softball has a mass
of about 184 grams. What is their
total mass?
Answer:
609g
Step-by-step explanation:
425+184=609
Answer:
609
Step-by-step explanation:
425+184=609
So the answer is 609
During the first lunch period, 54 students ate hot lunch. This is 9 fewer students than ate hot lunch during the second lunch period. How many students ate hot lunch during the second lunch period
Answer:
63
Step-by-step explanation:
54+9=63
Adjacent Angles:
Answer:
Hey there!
Adjacent angles are two angles that are connecting, or adjoining. They have a common vertex and a common side, but they DO NOT overlap.
Hope it helps and have a great day!!!!
Find the values of x and y in the equation below.
HELP‼️‼️
Answer:
what are the valus of a and b
Step-by-step explanation:
Escherichia coli is a prokaryotic bacterium. How will Escherichia coli reproduce? A. binary fission B. budding C. mitosis D. regeneration?
Answer:
A. binary fission
Step-by-step explanation:
Escherichia coli is a prokaryotic bacterium. Escherichia coli reproduce asexually by binary fission. While Escherichia coli is undergoing binary division, the process starts with elongation of the cell. Two similar copies of the bacteria is then replicated followed by the formation of a septum.
Suppose y varies directly with x. Write a direct variation equation that relates x and y. Then find the value of y when x=16...
y=7 when x=2
Step-by-step explanation:
y = kx, where k is a real constant.
When x = 2, y = 7.
=> (7) = k(2), 2k = 7, k = 3.5.
Therefore when x = 16,
y = (3.5)(16) = 56.
The value of y is 56 when x is 16.
The formula for direct variation is y = kx
Using the known x and y solve for k:
7 = k2
Divide both sides by 2:
k =7/2 = 3.5
Now solve for y when x = 16:
y = 3.5(16)
y = 56
An elementary school bus comes at 8:15 am every morning to pick up children in a neighborhood. The probability that the bus will be late is 0.19 and the probability that the bus will be early is 0.02.
What is the probability that the bus will arrive early next two days?
What is the probability that the bus will arrive on time next two days?
In two or more complete sentences, explain your calculations for parts A and B. In your explanation, include their similarities and differences.
Answer:
a. .02 * .02 = .0004
b. (1 - .02 - .19) = .79; .79*.79 = .6241
Step-by-step explanation:
The probability that the bus will arrive on time next two days is 0.79, The probability that the bus will arrive early next two days is 0.0004.
What is Probability?Probability is the likeliness of an event to happen, it has a range from 0 to 1.
Probability that the bus will be late is 0.19
Probability that the bus will be early is 0.02.
The probability that the bus will arrive early next two days is
= 0.02 * 0.02
=0.0004
The probability of coming early one day is small and the probability that it will come early two days in a row is smaller.
The probability that the bus will arrive on time next two days
= (1 - 0.02 -0.19) = 0.79
The probability that the bus will come on time is more as the probability of coming early or late is less.
To know more about Probability
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Melanie saves $20 every month in her savings account. She withdrew $60 one time to go shopping. She now has $280 in her account. write and solve an equation to determine how many months she has been saving up
Answer:
20x-60=280
Equation
So x for unknown amount of months, since 20 dollar each month 20x
-60 becuase she withdraws 60 one time
=280 becuase thats what she has left
Now solve
add 60 on both sides
20x=340
Divide 20 on both sides
x=17
17 months
What is the value of the expression below when y = 9 and z = 3?
10y – 7z
Which one is greater?
Answer:
top one
Step-by-step explanation:
brainliest
Answer:
the top one is bigger. always check the digit placing and exponents!
In a fish tank there are 10 clown fish, 4 angel fish, 6 puffer fish, and 5 eels. What is the probability of scooping out a clown fish on the second scoop after scooping out a clown fish on the first scoop and not replacing it
Answer:
3/8
Step-by-step explanation:
Given that
Number of clown fish = 10
Number of Angel fish = 4
Number of Puffer fish = 6
Number of Eels = 5
From the above, there exists 10 + 4 + 6 + 5 number of fishes
There exists 25 number of fishes.
Probability of picking a clown fish then is
C = 10 / 25
If the clown fish picked isn't replaced, then there exists 9 clown fishes, and 24 total fishes. This, the probability of picking another clown fish is
C = 9 / 24
C = 3 / 8
Thus, the answer is 3/8
Simplify: -2(-4-7b) + 10b
Answer:
8+24b
Step-by-step explanation:
Answer:
2(12b+4)
Step-by-step explanation:
-2(-7b-4)+10b : Rearrange the expression
2 : Find the greatest common factor of the terms.
-2(-7b-4)+10b : Focus on
2(7b+4+5b) : Factor out the greatest common factor
2(12b+4) : Simplify
Hope that helps
(46^2 + b - 2) (4b + 5)
Answer:
46^2+b-2/4b+5
2116+b-2/4b+5
=2114+b/4b+5
Step-by-step explanation:
Someone help asap Ill give brainlest!
Answer:
y = -3x -2
Step-by-step explanation:
-2 is the y intercept
Find the volume of the prism.
Answer:
102
Step-by-step explanation:
first you have to multiply 8 by 12 and then add the some with the leftover number
need a quick answer please
Answer:
8 fits the equation
Step-by-step explanation:
hope this helps