Answer:
0.904
Step-by-step explanation:
Using the binomial distribution, it is found that there is a 0.905 = 90.5% probability of getting at most 2 twos.
For each time the die is rolled, there are only two possible outcomes, either the result is a 2, or it is not. The result on a roll is independent of any other roll, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
The die is rolled 7 times, hence [tex]n = 7[/tex].One out of the 6 sides is a 2, hence [tex]p = \frac{1}{6} = 0.1667[/tex]The probability is:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
Hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.1667)^{0}.(0.8333)^{7} = 0.279[/tex]
[tex]P(X = 1) = C_{7,1}.(0.1667)^{1}.(0.8333)^{6} = 0.391[/tex]
[tex]P(X = 2) = C_{7,2}.(0.1667)^{2}.(0.8333)^{5} = 0.235[/tex]
Then:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.279 + 0.391 + 0.235 = 0.905[/tex]
0.905 = 90.5% probability of getting at most 2 twos.
A similar problem is given at https://brainly.com/question/24863377
PLEASE HELP ASAP WILL GIVE BRAINLEST!!!!
In ΔPQR, what is the m∠Q? Enter your answer in the box.
m∠Q=
Answer:
105
Step-by-step explanation:
all of the angles added will add up to equal 180 so we setup the equation
180=11x-5+6x+5+x and solve
step 1 combine like terms
180=18x
step 2
divide each side by 18
x=10
then we just plug in 10 to 11x-5
11x10=110-5=105
angle q=105
when we ordered pizza, 75% of the class wanted pepperoni. of 21 people wanted pepperoni, how many people are in the class
Answer:
28 people
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
PLEASE HELP!!!!!!!
What is the area of this figure?
28 yd²
40 yd²
52 yd²
64 yd
Answer:
40yd
Step-by-step explanation:
Answer:
i got 28 yd2
Step-by-step explanation:
for the triangle: 6×4= 24, but since a triangle is half divide by 2
24/2=12
4×4= 16
12+16= 28
lmk if I'm wrong, i might be a little rusty
Determine which function(s) are exponential. Select all that apply.
Answer:
option B and option C represent an exponential function.
Step-by-step explanation:
We know that following are some of the properties of different functions.
Linear Function:
The constant change in x and y
Quadratic Function:
The constant change in x
The constant 2nd differences in y
Exponential Function:
The constant change in x
The constant ratio in y
Determining the nature of the exponential function
Option A)
x 0 1 2 3 4
y 0 1 4 9 16
Here:
There is a constant change in x:
1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1; 4 - 3 = 1
BUT, there is NO CONSTANT ratio, as
1/0 = ∞, 4/1 = 4, 9/4 ; 16/9
Thus,
Table A DOES NOT represents an exponential function.
Option B)
x 0 1 2 3 4
y 1/3 1 3 9 27
Here:
There is a constant change in x:
1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1; 4 - 3 = 1
There is also a constant ratio, as
1/[1/3] = 3, 3/1 = 3, 9/3 = 3; 27/9 = 3
As there is constant change in x as well a constant ratio.
Thus,
Table B REPRESENTS an exponential function.
Option C)
x 0 1 2 3 4
y 5 5/2 5/4 5/8 5/16
Here:
There is a constant change in x:
1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1; 4 - 3 = 1
There is also a constant ratio, as
[5/2]/5= 1/2,
[5/4]/[5/2] = 1/2
[5/8]/[5/4] = 1/2
[5/16]/[5/8] = 1/2
As there is constant change in x as well a constant ratio.
Thus,
Table C REPRESENTS an exponential function.
Option D)
x 0 1 2 3 4
y 4.5 4 3.5 3 2.5
Here:
There is a constant change in x:
1 - 0 = 1; 2 - 1 = 1; 3 - 2 = 1; 4 - 3 = 1
BUT, there is NO CONSTANT ratio, as
4/4.5 = 4/[45/10] = 40/45 = 8/9
3.5/4 = [35/10]/4 = 35/40 = 7/8
3/3.5 = 3/[35/10] = 30/35 = 6/7
2.5/3 = [25/10]/3 = 25/30 = 5/6
Table D DOES NOT represent an exponential function.
Conclusion:
Therefore, option B and option C represent an exponential function.
The functions that are exponential would be:
B). [tex]x[/tex] 0 1 2 3 4
[tex]y[/tex] 1/3 1 3 9 27
C). [tex]x[/tex] 0 1 2 3 4
[tex]y[/tex] 5 5/2 5/4 5/8 5/16
What are Exponential Functions?
B). Given that,
[tex]x[/tex] 0 1 2 3 4
[tex]y[/tex] 1/3 1 3 9 27
As we see,
The value of [tex]x[/tex] undergoes a constant change of 1
[tex]1 - 0 = 1; \\2 - 1 = 1; \\3 - 2 = 1; \\4 - 3 = 1[/tex]
The ratio also remains constant
[tex]1/[1/3] = 3, \\3/1 = 3, \\9/3 = 3; \\27/9 = 3[/tex]
Thus, it exemplifies an exponential function.
Similarly,
C). [tex]x[/tex] 0 1 2 3 4
[tex]y[/tex] 5 5/2 5/4 5/8 5/16
As we see,
The value of [tex]x[/tex] undergoes a constant change of 1
[tex]1 - 0 = 1; \\2 - 1 = 1; \\3 - 2 = 1; \\4 - 3 = 1[/tex]
The ratio also remains constant
[tex][5/2]/5= 1/2\\\\[5/4]/[5/2] = 1/2\\\\[5/8]/[5/4] = 1/2\\\\[5/16]/[5/8] = 1/2[/tex]
Thus, it exemplifies an exponential function.
Thus, options B and C are the correct answers as the other two have a constant change but not a constant ratio.
Learn more about "exponential function" here:
brainly.com/question/15352175
If the surface area of a cube is 150 cm², what is the volume of the cube?
A)
125 cm3
B)
150 cm3
C)
175 cm3
D)
225 cm3
Answer:125
Step-by-step explanation:
determine an equation of a line in standard form that is perpendicular lo the line 2y = -x + 3 and passes through the point (4, 5).
What is the value of the expression - 1.76 • 1/5 • (- 3.6)? Enter your answer below.
Answer:
-9.504
Step-by-step explanation:
First you do 1.76 times 1.5 which is 2.64. Then you do 2.64 times negative 3.6 which would be -9.504.
Answer:
Step-by-step explanation:
brooooooooo wtfffffffff
Please help I’ll mark your brainlist!
Answer:
D f(x) = 4X - 3
Step-by-step explanation:
If you substitute the numbers of the table into the equation it works out, for example
2 x 4 = 8 - 3 = 5
3 x 4 = 12 - 3 = 9
4 x 4 = 16 - 3 = 13
what is -3 take away -1?
what is 287.5/25 simplified I’m literally close to tears help
Answer:
11.5
Step-by-step explanation:
I hope this helps :)
Answer:
11.5
Step-by-step explanation:
have a great day <3
At Smith's Sporting Goods,3 out of every 10 customers make a purchase. Write a ratio to compare the number of customers who make a purchase to the number of customers who do not make a purchase.
Answer:
30
Step-by-step explanation:
because 3×10 is 30 and so 3 out of 10 is 30
Luisa sells stuffed animals. She sells a stuffed elephant for $34.90, and the sales tax is 9% of the sale price. About how much is the sales tax on the elephant?
$3.15
$4.90
$0.32
$4.95
Answer:
OH DADDY FASTER
Step-by-step explanation:
OY PAPI MAS RAPIDO
The first transformation for this composition is [________], and the second transformation is a translation down and to the right. a 90° rotation about point L a 270° rotation about point L a 90° rotation about point P a 270° rotation about point P
Answer:
D. A 270-degree rotation about point P
Step-by-step explanation:
I hope this helps!!!
Please I need ASAP thank you very much
Answer:
a. 0= 3^3-2(3)^2-2(3)-3
(set the equation to zero. x=3, so plug 3 into all of the x's ^^)
27-18-6-3
(do all of the multiplying and stuff ^^)
0
(combine like terms ^^)
Step-by-step explanation:
i hope this helps!!
write the word sentence as an equation. 9 less than a number n equals 27. An equation that represents this sentence is
Answer:
N-9=27
hope it helps
Evaluate the following expression if x = 3. x2
Answer:
6
Step-by-step explanation:
x2
x=3
sub 3 into x
(3)2
=6
At the Football game they expect that for every 4 people that attend 3 hot dogs will be sold. What is the equation
Answer:
If [tex]p[/tex] is people and [tex]h[/tex] is hot dogs, the equation is [tex]3h=4p[/tex].
The relation among people who attend and hot dog sold is 4x = 3y.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
At the Football game they expect that for every 4 people that attend 3 hot dogs will be sold.
let the are total x people and y number of hot dogs will be sold.
So, the relation among people who attend and hot dog sold is
4x = 3y
Learn more about equation here:
https://brainly.com/question/29538993
#SPJ2
Evaluate help please!
The absolute value of a number is the distance from 0 to that number. The distance is positive, hence, the absolute value is always a positive number.
ExerciseReplace the value of x:
[tex]| x - 8 |[/tex]
[tex]| -4 - 8 |[/tex]
[tex]| -12 | = \large{\boxed{12}}[/tex]
The absolute value of a number is the numerical value of the number, without regard to its sign.
Answer. 12Please find the solution to the following system using substitution or elimination: y = -2x + 7 y = 3x - 8
Answer:
This is improper ma'am or sir , there is to many equal sighns , is there a mistake
Step-by-step explanation:
y= 7 x 3 +8 or x =3 y 7 −24 7
(Sorry if its wrong )
(9x + 7) + (x + 3)
I really don't know.
Answer:
10x + 10
Step-by-step explanation:
Thank me later
Plot the image of point D under a dilation about the origin (0,0) with a scale factor of 2.
Answer:
I think it is -3,-2.......
Please help me this is due in and hour
Answer:
The answer is All Solution
Step-by-step explanation:
HI I NEED HELP WITH THIS!!! SOMEONE ANSWER ASAP PLS
The 7th grade class is putting on a variety show to raise money. If they charge $20 for each ticket how many tickets do they need to sell in order to raise at least $1000
Answer:
50
Step-by-step explanation:
They need to sell 50 of them in order to raise $1000. Its simple math all you have to do is divide 1000 by 20 and poof you have the answer.
mr.torres is 6 1/4 feet tall. Mr. torres is 5 1/2 feet tall. How much shorter is Mrs. torres than her husband PLEASE HURRY!
Answer: 3/4
Step-by-step explanation: 6 1/4 - 5 1/2
Answer: The answer is 1 2/8
Step-by-step explanation:
5 1/2 X 4/4 = 4/8 So the answer is 1 and 2/8
6 1/4 X 2/2 = 2/8
6 4/8
-
5 2/8
___
1 2/8Shaggy earned 7.50 an hour plus an additional $100 in tips waiting tables last night. He earned more than $160 in all. Write an inequality to represent this situation and help you find the number of hours (h) he worked.
Answer
x>21.2
Step-by-step explanation:
7.55x+100>160:
subtract 100 on both sides to get:
7.55x>60:
divide 7.55 on both sides:
x>21.2 is your answer
Answer:
7.50h + 100 > 160
Step-by-step explanation:
7.50 is the hourly wage
h = hours he worked
add 100 once because it's his tips for the amount of time her worked
since he worked more than 160, you'll use the greater sign
then solve for h
h = 8 hours
Helppppppppp fasttttttt pleaseeeeeee!!!!!!!
Answer:
(3x⁷)⁴ = 3⁴x²⁸ = 81x²⁸
because (3x⁷)⁴ = cx^n
=> c = 81
n = 28
4(8m - 7n) + 6(3n -4m)
Answer: 8m - 10n
Step-by-step explanation:
Answer:
28m-10n
Step-by-step explanation:
start by multiplying 4 by (8m-7n) and 6 by (3n-4m)
This will then give you 32m-28n and 18n-24m
Then, add the two answers together
32m-28n+18n-4m
This will give you your final answer of: 28m-10n
Which of the following shows the correct solution steps amd solution to 7x-4=-18
Answer:
D
Step-by-step explanation:
7x - 4 = -18 (add 4 to both sides)
7x = -14 (divide both sides by 7)
x = -2
the answer is D
Javier works each weekend at an animal shelter. He earns $8 an hour. He is saving his earnings to go on a ski trip that costs $190.
Becca says that Javier must work at least 6 more hours to have enough money to go on the ski trip. Her work is shown below. Choose True or False about each statement
Becca's solution included all of the hours Javier worked on both weekends. (TRUE OR FALSE?)
Javier worked a total of 23 hours on both weekends. (TRUE OR FALSE?)
Javier earns $198 for 24 hours of work. (TRUE OR FALSE?)
Javier only needs to work one more hour to have enough money for his trip. (TRUE OR FALSE?)
Answer:
Becca's solution included all of the hours Javier worked on both weekends.Step-by-step explanation:
Javier needs to work at least 6 more hours. He will earn:
6*8 = $48He has already got:
$190 - $48 = $142He worked:
142/8 = 18 hours (rounded)Total he will have worked:
18 + 6 = 24 hoursAnswer choices:
Becca's solution included all of the hours Javier worked on both weekends.
TRUEJavier worked a total of 23 hours on both weekends.
FALSE. 23*$8 = $184 < $190Javier earns $198 for 24 hours of work.
FALSE. 24*8 = $192Javier only needs to work one more hour to have enough money for his trip.
FALSE. Becca says 6 more hours required.