you roll three six sided dice. what is the probability that exactly two of the dice are odd?
Answer:
3C2 * (.5)^2 * (.5)^1
.375
Step-by-step explanation:
...
The probability that exactly two of the dice are odd is 3/8
What is probability?"It is finding out the possibilities of the occurrence of an event."
Formula to find the probability of an event:"P(A) = n(A) / n(S)
where, n(A) is the number of favorable outcomes of an event A
n(S) is the total number of outcomes for an experiment"
What is Binomial theorem of probability?[tex]P=~ ^nC_r\times p^r \times q^{n-r}[/tex]
where, p is the probability of success and q is the probability of failure
For given example,
We roll three six sided dice.
We need to find the probability that exactly two of the dice are odd
the probability of success i. e. dice is odd would be,
⇒ p = 3/6
⇒ p = 1/2
So, the probability of failure would be,
⇒ q = 1 - p
⇒ q = 1 - 1/2
⇒ q = 1/2
Also, n = 3 and r = 2
Using Binomial distribution the required probability would be,
[tex]\Rightarrow P=~ ^nC_r\times p^r \times q^{n-r}\\\\\Rightarrow P=~ ^3C_2\times (\frac{1}{2} )^2 \times (\frac{1}{2} )^{3-2}\\\\\Rightarrow P =\frac{3!}{3!(3-2)!}\times \frac{1}{4} \times \frac{1}{2}\\\\ \Rightarrow \bold{P=\frac{3}{8}}[/tex]
Therefore, the probability that exactly two of the dice are odd is 3/8
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5 2/5 as a mixed number
Answer:
Mixed numbers have a whole number followed by the fraction (2 1/2). You would say "two and one half." The other format is an improper fraction where the numerator is greater than the denominator (5/2). Mathematicians would say that is five halves.
Answer:
27/5 I think um I have to fill out the question so ya
Sally wants to start a small business. She plans to sell snack packs by re-packing cookies and coffee sachets. Cookies come in packs of 10, while 3-in-1 coffee sachets come in packs of 12.
What is the smallest number of packs for each item should Sally buy if she wants to have packs with 1 cookie and 1 coffee sachet?
Answer: She needs 6 packs of cookies and 5 packs of coffee sachets.
Step-by-step explanation:
Cookies: come in packs of 10
Coffee sachets: come in packs of 12.
Sally wants to sell them in groups of 1 cookie and 1 coffee sachet, then we need to find a common multiple of 10 and 12. (the smallest one in this case).
To find the smallest common multiple, first let's find the largest common factor between 10 and 12.
If we write the numbers as a product of prime numbers, we have:
10 = 2*5
12 = 2*3*3
The only common factor is 2.
Then the smallest common multiple between 10 and 12 is equal to the product of 10 and 12 divided by the largest common factor between them, in this case is 2.
M = 10*12/6 = 60
Now to find the number of packages of each thing that she must buy, we need to divide 60 by the number of elements in each pack.
Cookies: 10 per pack
60/10 = 6
She needs 6 packs of cookies
Coffe: 12 per pack
60/12= 5
She needs 5 packs of coffee sachets.
EDGE 2020
Which trigonometric functions have the same maximum value?
y = arcsinx and y = arccosx
y = arcsinx and y = arctanx
y = arctanx and y = arcsecx
y = arccosx and y = arcsecx
Answer:
D. y = arccosx and y = arcsecx
Step-by-step explanation:
got it right on edge :)
Answer:
The trigonometric function which have the same maximum value is:
y = arcsinx and y = cos x
Concept:
What are Inverse trigonometric functions?
Inverse trigonometric functions are represented as arcsinx, arccosx, arcsecx, and so on.
The trigonometric functions that are used to calculate an angle from any of the angle's trigonometric ratios are called inverse functions.
The formula which is used to in inverse trigonometric equations are:
arcsinx = -arcsinx
arccosx = pi-arccosx
arctanx = -arctanx
arcsecx = pi - arcsecx
Solution:
The maximum values we obtain from the following equations are:
arcsinx = -1 to 1
arccosx = -1 to 1
arctanx = -pi/2 to pi/2
arcsecx = ∞
So the trigonometric functions which have the same maximum value is arcsinx and arccosx.
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Allison and her classmates planted bean seeds at the same time as Yuki and her classmates in Tokyo did. Allison is video-chatting with Yuki about their class seedlings. Who should expect to have the taller plant at the end of the school year?
Answer:
probably yuki
Step-by-step explanation:
real fact
10 times as many as 2 hundred is 20 hundreds or 2 thousand
Answer:
2 thousand 10s
Step-by-step explanation:
Which situation can be represented by this inequality?
3 + 2.0 > 8x
Select one:
The cost of 2 candy bars plus a $3 bag of chips is greater than 8 candy bars.
The cost of 2 candy bars with a discount of $3 is greater than 8 candy bars.
o The cost of a $3 bag of chips plus 2 candy bars is at least as much as 8 candy bars.
The cost of a $3 bag of chips plus 2 candy bars is less than 8 candy bars.
Answer: D
Step-by-step explanation:
What quadrant would the triangle be in after a rotation of 90 counterclockwise about the origin?
(2.10-6) · (6 · 10^7)=__
-3y > 9 or y - 6 > 2
Answer:
Your answer is: y < -3 or y > 8
The union consists of all of the elements that are contained in each interval.
Step-by-step explanation:
Hope this helped : )
Please answer this (Middle school math)
Answer:
the first one
Step-by-step explanation: what school you go too
37% of $150 Single can u ols helo me ita gor a test
Select the correct answer.
What is the factored form of t6 − p3?
A. (t2 + p)(t4 − pt2 + p2)
B. (t − p)2(t2 − pt + p2)
C. (t2 − p)(t4 + pt2 + p2)
D. (t − p)2(t2 + pt + p2)
Mike is 46 years old. He is 4 years older than three times his son, Jared's age. Find Jared's age.
James enjoys spending money at the hardware store. He bought a wrench for $9.14, a nail gun for $54.48, and a pound of nails for $6.98. How much change did James get if he paid with a hundred-dollar bill? *
Answer:
$29.40
Step-by-step explanation:
29.40 dollars as 100 - the sum of the cost = 29.4
true or false. The value -5 is an element of the solution set for the inequality x<-3
Answer: It’s True
The explanation: I did this already and I got an 100% I hope this helps I you have other questions just ask me! Hope you get a good score!
Recall that the perimeter of a figure such as the one to the right is the sum of the length of its sides. Find the perimeter of the figure.
Answer:
36z+28+8z+40+12z+60+48+16z=
36z+8z+12z+16z+28+40+60+48=
72z+176
Step-by-step explanation:
If you have a box of candy that is 8 inches long, 5 inches wide, and 2
inches tall, how much space do you have for candy?
Which expression has the same meaning as p 11/5?
Answer:
Under the first one
Step-by-step explanation:
The expression ⁵√p¹¹ is equivalent to the given expression. The correct answer would be an option (C).
What are exponential expressions?Exponential expressions, as the name indicates, involve exponents. We already know that the exponent of a number (base) specifies how many times the number (base) has been multiplied.
The exponential expression is given in the question, as follows:
[tex]p^\frac{11}{5}[/tex]
We have to determine the equivalent expression to the given expression.
As per option (C), we have
⇒ ⁵√p¹¹
The above expression also can be written as:
⇒ [tex](p^{11})^\frac{1}{5}[/tex]
⇒ [tex](p^{11})^{\times}{(\frac{1}{5})}[/tex]
⇒ [tex]p^\frac{11}{5}[/tex]
Hence, we can conclude that the expression ⁵√p¹¹ is equivalent to the given expression.
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Aaron charges $15 to mow the lawn and $10
per hour for other gardening work. Which
expression represents his earnings?
F. 10h
G. 15h
H. 15h+10
J. 15+10h
Answer:J
Step-by-step explanation:
please help me asap
Question 4 of 5
Quadrilateral ABCD is reflected across the x-axis. What are the coordinates
of quadrilateral ABCD?
ADLY
01/2)
ch
A. A (5,5), B (5, 1), C(2, 1), D' (1,5)
B. A' (5-5), 8 (1.-5), C'(1, -2).
D'(5-1)
C. A'(-5-5), 8'(-1,-5), C (-1.-2)
D'(-5-1)
OD. A (5,5), B'(1,5), C' (1,2), D'(5, 1)
PLEASE HELP ME!!! THIS IS URGENT!!! DUE IN 5 MINUTES!!!
LOOK AT THE IMAGE
Answer:
1,5
Step-by-step explanation:
Pls answer quick, I’ll give brainliest!
Answer:
not sure if I understand the question but a=3,b=0,c=1
Step-by-step explanation:
-2+2(1)-3(-1)=3
-2+1-(-1)=0
2(-2)+2(1)-3(-1)=1
Test Practice
14. Which set of numbers correctly shows all of the factors of 28?
A 1, 2, 4, 7, 14, 28 © 1, 2, 7, 14, 28
® 0, 1, 7, 14, 28 0 1, 2, 4, 7, 8, 14, 28
in a survey of a group of people, it was found that 80 people like to drink tea 55 like coffee 25 like both and 30 people did not like both tea and coffee.
RECO
Which expression is equivalent to 3x – 1/2y+2 2/3y-5/6x
Answer:
13 ( x + y ) / 6
please help my daughter with this
Answer:
Recordings of their music.
Step-by-step explanation:
This is because there was no way to record music.
Ceftriaxone 125 mg IM. If I use 1 g/9.6 mL to fill the order, how many mL will I need
Answer: omg I- I tried but got nothing I’m sorry
Step-by-step explanation:
Finding the Equation of a Line
You have discovered another alien.
Move the sliders to change the slope and y-intercept.
Create an equation to produce the correct line of travel.
slope: 0
6
What is the equation of the line that provides the
correct path to rescue this alien?
A. Y=5
B. Y=x+5
C. Y=-x+5
D. Y=5x
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is Y=-x+5. Thus, the correct option is C.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The position of Allien in the coordinate plane is (0,5), the coordinate of the rocket is (5,0). The slope between the two is,
Slope, m = (0 - 5)/(5 - 0) = -5/5 = -1
The equation of the line can be written as,
y = -1x + C
substitute any one of the point in the equation,
0 = -1(5) + C
0 = -5 + C
C = 5
Hence, the equation of the line is Y=-x+5. Thus, the correct option is C.
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