The probability that at least 1 number cube will show a number 8 or larger is 0.83.
What is a binomial distribution in probability?In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment). The binomial probability is
[tex]n^C_xp^xq^{n - x}.[/tex]
Given, In a certain board game, a 12-sided number cube showing numbers 1 to 12 is rolled.
So, Numbers that are 8 or larger is 8, 9, 10, 11, 12.
Now, The probability(p) of getting a number 8 or larger P(X ≥ 8) = 5/12.
hence q = 1 - p = 7/12.
Therefore, If 4 such cubes rolled the probability that at least 1 number cube will show a number 8 or larger is,
P(X≥ 8) = [tex]^4C_1(\frac{5}{12})(\frac{7}{12})^4+^4C_2(\frac{5}{12})^2(\frac{7}{12})^2+^4C_3(\frac{5}{12}^3)(\frac{7}{12})^1+^4C_4(\frac{5}{12})^4(\frac{7}{12})^0[/tex].
P(X≥ 8) = 4(0.41×0.115) + 6(0.173×0.34) + 4(0.072×0.58) + 1(0.030×1).
P(X≥ 8) = 0.283 + 0.35 + 0.167 + 0.030.
P(X≥ 8) = 0.83 or 83% chance.
learn more about binomial distribution here :
https://brainly.com/question/14565246
#SPJ5
PLEASE SHOW YOUR WORK.
Shawn designs a rectangular garden as shown below. He will design both rock sections to have the same width (x).
The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.
Describe the error in Shawn’s expression. As part of your explanation, find the difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression.
Answer:
a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
98 square feet
Step-by-step explanation:
The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.
The correct area =
15(2x + 7).
= 30x + 105 square feet
The error in Shawn’s expression is
= 15(2x + 7)
= 30x + 7 square feet
Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
30x + 105 square feet - 30x + 7 square feet
= 30x + 105 - (30x + 7)
= 30x - 30x + 105 - 7
= 98 square feet
What is the solution for -3w-4=w+4
Answer:
uhh
Step-by-step explanation:
carrot?
4.3 m to centimeters
Answer: 430 cm
Step-by-step explanation:
Answer:
430 cm
Step-by-step explanation:
43 multiplied by 10 is 430
50 points! Right answers will get brainliest! Random answers will be reported
Answer:
Hope it helps u
Step-by-step explanation:
When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative,
hence A(2,1) so after 270 degree counter clockwise rotation the A become,
A(1, -2)
Please brain-list the answer thanks.....
1 2 hopefully this helps
Helpppppppppp. plsssss.Struggling :(
Answer:
68°
Step-by-step explanation:
22°+68°=90° ......
1) The bakers at Healthy Bakery can make 290 bagels in 10 hours. How many
bagels can they bake in 23 hours? What was that rate per hour?
Answer:
667 bagels in 23 hours
29 bagels per hour
Step-by-step explanation:
We first find the unit rate in bagels per hour.
(290 bagels) / (10 hours) = 29 bagels/hour
Now we find the number of bagels made in 23 hours.
23 hours * 29 bagels/hour = 667 bagels
3. Ivan has completed 45% of his walk.
He has already walked 9 km. How much farther does he have left to walk?
Answer:
11
Step-by-step explanation:
The required distance left to the walk will be 11 km.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
Let the total distance of the walk would be x km
As per the given information, the required solution would be as:
⇒ 45% of x = 9
45% is expressed as 45/100 in fractional form
⇒ (45/100)x = 9
45/100 is expressed as 0.45 in decimal form
⇒ 0.45x = 9
⇒ x = 9/0.45
⇒ x = 20
So the total distance of the walk is 20 km
Since he has already walked 9 km.
So, he has left to the distance of the walk = 20 - 9 = 11 km
Therefore, the required distance left to the walk will be 11 km.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
Can you help? I really need help
Answer:
5. find x= 32
6. find < C = 23
find c =
find a =
Sorry wish I could help more I need to learn more about this chapter in math.
f(x) = 2x + c
g(x) = cx + 7
fg(x) = 4x + d
C and d are constants.
Work out the value of d.
May someone help me pleaseeee
Answer:
c=2, d=16
Step-by-step explanation:
The value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d
What is a function?A relation is a function if it has only One y-value for each x-value.
Given,
f(x) = 2x + c...(1)
g(x) = cx + 7..(2)
fg(x) = 4x + d..(3)
We need to find the values of c and d
fg(x) = 2(cx+7) + c
Apply distributive property
fg(x) =2cx+14+c...*
Now compare * with equation 3
2cx=4x
2c=4
Divide both sides by 2
c=2
and 14+c=d
Substitute c in above equation
14+2=d
d=16
Hence, the value of c is 2 and value of d is 16 when f(x) = 2x + c, g(x) = cx + 7 and fg(x) = 4x + d
To learn more on Functions click:
https://brainly.com/question/21145944
#SPJ2
what are the relative max and min. of this graph?
Relative Max is 6
Relative Min is -8
Amanda is decorating you new house. She found a table at Pottery Barn for $425. If the table is 45% off, what will it cost?
Over the summer Marty reads 4 times as many pages as the number of pages Nelson and Jennifer read combined Marty reads 1,860 pages and Nelson reads 240 pages
Could somebody please help me with these?? It's due tomarrow
Example for Table 1:
y = x + 6
So if X=-8
1st Row -8+6=-2
2nd Row -4+6=2
3rd Row -2+ 6=4
4th Row -9+6=-3
5th Row 2+6=8
So for any table, the X in the table rule is the X that you are working on.
Answer:
i got you:
1) -2, 2, 4, -3, 8
2) 37, -3, 29, -67, -75
3) -36, 4, -4, -20, -12
4) -10, 6, -4, 8, 4
5) -2, 18, -16, 6, -10
6) -4, -15, 2, 0, -6
7) -25, 23, 5, 29, 11
8) 24, 38, -60, 3, 10
9) 2, 4, 9, -1, -3
10) -14, -8, -15, -10, -16
11) 9, 18, -21, -3, -24
12) -10, 35, -73, 71, -19
hope that helps
Step-by-step explanation:
1.) What is m<1? You don’t have to show work it is optional
Brian can iron 3 shirts in 5 minutes. If Brian irons at a constant rate, how many shirts can he iron in 30 minutes? WILL GIVE BRANLIEST
Answer:
18
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
30/5 = 6
6 * 3 = 18
BRAINLIEST FOR THE CORRECT AWNSER!! What is the measurement of
I doubled checked the correct awnser is D
I will give you 15 points
Answer: A, D
Step-by-step explanation:
What are the answers to these questions
Can you guys please help me!!
Answer:
a. 32
b. 32
Step-by-step explanation:
a. 12 + 4y
They gave us the value of "y" which is "5", and substitute that into the expression.
12 + 4y
12 + 4(5)
12 + 20
32
b. 4 (y + 3)
They gave us the value of "y" which is "5", and substitute that into the expression.
4 ( y + 3 )
4 ( 5 + 3)
Distributive property (multiply what is in the parenthesis by what is out of it (4))
4 * 5 + 4 * 3
20 + 12
32
Hope this helped!
Have a supercalifragilisticexpialidocious day!
The graph of p = 400 and the graph of p = 50s - 200 intersect at the point (12,400). If the equation p = 50s - 200 represents the profit, p, based on s sales, what does the intersection best represent? Show work.
Answer:
This shows that the profit for 12 sales is 400
Step-by-step explanation:
If both graphs intersects then;
p = p
400 = 50s - 200
50s = 400+200
50s = 600
s = 600/50
s = 12
Substitute s =12 into p = 50s-200
p = 50(12) - 200
p = 600-200
p = 400
Hence the intersection (s, p) is (12, 400)
This shows that the profit for 12 sales is 400
ILL GIVE BRAINLIEST AND EVERYTHING ELSEEE HELP
Answer:
The Second One
Step-by-step explanation:
Commutative Property
What is the percentage of sugar in the syrup made of 10 kg of water and 2 kg of sugar. Thx yall :D
Find the slope of the following graphs.
A. 2/3
B. 3/2
C. 3
D. - 2/3
Answer:
Answer is A
Step-by-step explanation:
The slope of the shown line passing through points (3,2) and (0,0) is 2/3. The answer is option A.
Given the points (3,2) and (0,0), we can calculate the change in y and change in x as follows:
Change in y = 2 - 0 = 2
Change in x = 3 - 0 = 3
Now, we can substitute these values into the slope formula:
Slope = (change in y)/(change in x) = 2/3
Here, the line has a positive slope, indicating that as x increases by 1, y increases by 2/3.
This means that the line is ascending from left to right, sloping upwards.
Therefore, the slope of the line passing through points (3,2) and (0,0) is 2/3.
Hence, the answer is option A.
Learn more about the slope of line here:
brainly.com/question/14511992
#SPJ6
Below are two parallel lines with a third line intersecting them.
Answer:
77
Step-by-step explanation:
180-103=77
Simplify Using the Distributive Property –(3a2 + 5a - 4)
Answer:
[tex]-3a^2 - 5a + 4[/tex]
Step-by-step explanation:
N/A
Answer:
-3a2 -5a +4
Step-by-step explanation:
since there us a negative at the front, the sign/ operations change
Select all of the expressions that represent an `8\%` increase compared to `x`.
Answer:
1.08X
X+0.08X
(1+.08)X
Step-by-step explanation:
What is m∠DEF?
Enter your answer in the box.
There is a triangle DEF in which side DE is congruent to side EF and G is the midpoint of the side DF. Segment EG intersect the side DF at point G. The measure of angle DEG is (3y+4) degrees and the measure of angle FEG is (5y-10) degrees.
Answer:
m<DEF = 8y - 6
Step-by-step explanation:
Given that: DEG = [tex](3y +4)^{o}[/tex], and FEG = [tex](5y-10)^{o}[/tex].
The given triangle is an isosceles triangle with sides DE ≅ DF.
But,
m<DEF = DEG + FEG
= [tex](3y +4)^{o}[/tex] + [tex](5y-10)^{o}[/tex]
= 3y + 4 + 5y - 10
= 8y - 6
m<DEF = 8y - 6
Therefore, the measure of < DEF is 8y - 6.
*starts crying from happiness*❤️❤️❤️❤️❤️❤️❤️❤️❤️
Step-by-step explanation:
Write an equation of the line that passes through the pair of points. (−4, −2), (4, 0)
Answer:
y = 1/4x-1
Step-by-step explanation:
Ok first, you need to find the slope:
0+2 = 2=1
4+4 = 8=4
Slope: 1/4
y=1/4x+b
Now you need to find the y intercept which is b. For that you can take a coordinate pair and substitute it in the equation to find b.
I will use (4,0)
0=1/4 X 4 + b
0=x+b
minus x on both sides. x=1
-1=b
An equation of the line that passes through the pair of points
(- 4, - 2), (4, 0) is y + 2 = (1/4)(x + 4).
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line that passes through the pair of points. (−4, −2), (4, 0).
We also know slope(m) = (y₂ - y₁)/(x₂ - x₁) = (0 + 2)/(4 + 4) = 1/4.
So, the equation of a line in point-slope form is y - y₁ = m(x - x₁).
∴ y + 2 = (1/4)(x + 4).
learn more about lines and slopes here :
https://brainly.com/question/3605446
#SPJ2
John and Robin like to collect stones. John has n stones, and Robin has 68 stones. Together they have a total of 98 stones, Write an equation to describe this situation.
Answer:
n+68=98 find n (n=30)
Step-by-step explanation: