how many distinct sample points are there if we roll 3 identical dice?
The probability for a distinct sample is =1-0.0277=0.9722.
Dice are an excellent example of probability concepts. Six-sided cubes are the most commonly used dice. We'll look at how to compute probabilities for rolling three standard dice. Calculating the probability of the sum obtained by rolling two dice is a fairly common problem. There are 36 different rolls with two dice, with any sum between 2 and 12 possible
Given: Three dice are rolled
Total sample space =216
The event that the same number will appear in each of them is {(1,1,1),(2,2,2),(3,3,3),(4,4,4),(5,5,5),(6,6,6)}
The probability that the same number=6/216=1/36=0.0277
Hence the probability for a distinct sample is =1-0.0277=0.9722.
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Find the volume of the cylinder.
r = 5 cm
h = 9 cm
Answer:
About 706.5 or 707
Explanation:
3.14 • 5² (5² is also 25) = 78.5
78.5 • 9 = 706.5 or 707
Edit: Also posted a better picture for explanation. See the attachment.
Noah has a collection of 2,500 stamps. Of the stamps in Noah’s collection, 30% show U.S. presidents, 45% show animals, and the rest show famous athletes. How many stamps in Noah’s collection show famous athletes?
i need help
Answer:
625 stamps
Step-by-step explanation:
100-45-30=25%
0.25 x 2500 = 625
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
The graph shown represents a linear function.
Which of the following equations represents the graph?
A. Y= - 5/3x -5
B. Y= - 5/3 x -3
C. Y= - 3/5x -5
D. Y= - 3/5x -3
For a class gardening project, 1/12 of mrs. petersen's students planted marigolds and 1/2 planted tulips. what fraction of the class planted either marigolds or tulips? write your answer as a fraction or as a whole or mixed number.
For a class gardening project, the fraction of the class that planted either marigolds or tulips is 7/12.
Fractions refers to the numerical representation of the "parts of a whole or collection of objects". It has two parts, separated by a line: numerator and denominator.
Given that 1/12 of Mrs. Petersen's students planted marigolds and 1/2 planted tulips, to get what fraction of the class planted either marigolds or tulips, we just have to add the fraction of the class who planted marigolds and the fraction of the class who planted tulips.
fraction of the class planted either marigolds or tulips = fraction of the class who planted marigolds + fraction of the class who planted tulips
fraction of the class planted either marigolds or tulips = 1/12 + 1/2
fraction of the class planted either marigolds or tulips = 1/12 + 6/12
fraction of the class planted either marigolds or tulips = 7/12
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Can an acute angle be equal to 90?
No, acute angle can not be equal to 90. if an angle equal to 90 then it is a right angle.
Acute angle
An angle smaller than the right angle is called an acute angle. In other words, the angle which is less than 90 degrees forms an acute angle.
An angle which is measuring less than 90 degrees is called an acute angle. This angle is smaller than the right angle (which is equal to 90 degrees). For example, ∠30o, ∠45o, ∠60o, ∠75o, ∠33o, ∠55o, ∠85o, etc. are all acute angles.
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In a shop, two kinds of candies A and B were sold at $2 each and $5 each respectively. Tammy paid at least $75 for 20 candies A and B in the shop. Find the maximum number of candy A Tammy bought.
Answer:
Exact answer not possible: See below.
Step-by-step explanation:
The total that Tammy would pay is the sum of 2A and 5B, where A and B are the number of candies costing $2 and $5, respectively. Therefore:
2A + 2B = Total Spent
We are told Tammy spent at least $75, which can be written as "Total Spent > $75."
The equation becomes 2A + 5B > 75
Rearranging:
2A + 5B > 75
2A > 75 - 5B
A > (75 - 5B)/2
To find the maximum of the candy A bought, one can try different values of A and B that result in a total of at least $75. If the amount spent were $75 exactly, a solution would be 35 A (for $70), leaving $5 for 1 candy B. But we don't know the exact amount. The problems states "at least $75." As far as we know, Tammy may have spent $105, $405, $1,005, or even $4,005 (200 A and 1 B). One cannot pick a maximum simply since the maximum spent is not defined. The next possible value above $75 would be $77, which represents 36 A and 1 B candies.
5.) A woman put $580 into a savings account for one year. The rate of interest on the account was 6.5%. How much was the interest for the vear in dollars and cents? (Round to the nearest cent) 6.) Pamela bought an electric drill at 85% of the regular price. She paid $32.89 for the drill. What was the regular price? (Round to the nearest cent)
The amount of interest for the year was 3,770 cents, and the regular price of the electric drill that Pamela bought before the discount was 21,927 cents
To find the interest we can use this following formula:Interest = P x R x T.
Where:
P = Principal amount (the beginning balance).
R = Interest rate
T = Number of time periods
In this case, we are given that;
Principal amount (P) = $580
Interest rate (R) = 6,5 %
Time = 1 year
Hence, The amount of the interest = 6,5% of $580
= 0.065 × $580
= $37.7
1 dollar = 100 cents
Hence, $37.7 = 37.7 × 100 cents equal to 3,770 cents
To find the regular price of the electric drill, we can use this following formula:P = (1 – d) x
Where,
P = Price after discount
D = discount rate
X = regular price
In this case, we are given that:
P = $32.89
D = 85% = 0,85
Hence, the regular price:
P = (1 – D) x
32.89 = (1 – 0.85) X
32.89 = 0.15X
X = 32.89/0.15
X= 219.27
1 dollar = 100 cents
Hence, $219.27 = 219.27 × 100 cents equal to 21,927 cents
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Write an expression.. NO LINKS
NEED HELP ASAP!!!
Answer:
-10.50*3
=-31.5
a metal-cutting operation has a target value of 20 and consistently averages 19.8 with a standard deviation of 0.5. the design engineers have established an upper specification limit of 22 and a lower specification limit of 18. which statement concerning this process is true?
The process is capable of producing outputs within the specification limits is true.
There are a number of potential reasons for why the process is not meeting the target value. One possibility is that the target value is too ambitious and is not realistic given the current process capability. Another possibility is that there is some inherent variability in the process that is not being accounted for. It is also possible that there are some external factors that are affecting the process, such as changes in the raw materials or the environment.
The design engineers have established an upper specification limit of 22 and a lower specification limit of 18. This means that they are confident that the process is capable of producing outputs within these limits. However, the fact that the process is consistently averaging 19.8 with a standard deviation of 0.5 suggests that there is some room for improvement.
One potential way to improve the process is to focus on reducing the inherent variability. This can be done by identifying and addressing the sources of variability in the process. Another potential way to improve the process is to reduce the target value. This may be necessary if the current target value is not realistic given the process capability.
It is also important to monitor the process over time to ensure that it is remaining within the specification limits. This will help to identify any potential issues that may arise and allow for corrective action to be taken if necessary.
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A.The process is in statistical control.
B.The process is capable of producing outputs within the specification limits.
C.The process is capable of producing outputs within the tolerance limits.
D.The process is capable of producing outputs within the control limits.
E.The process is capable of producing outputs that are normally distributed. The process is capable of producing outputs within the specification limits
which statement concerning this process is true?
If 2 angles in a triangle are 71 degrees and 56 degree, what is the measure of the third angle?
Answer:
53
Step-by-step explanation:
Sol'n
Let the remaining angle of a triangle be x.
x+71+56=180 (Sum of angles of a triangle is 180°)
or, x+127=180
or, x=180-127
.:, x=53°
.:, The measure of third angle is 53°
From the diagram below, if we know that < C is larger than < F, and we know that side AB=6, what can we say for sure about side DE?
Answer:
a. DE < 6This is the correct
answer.Since angle C is larger than
angle F, then the length of the side
of angle C would be greater than
that of angle F. Hope it helps........
✨✨✨
The only conclusion we can make for sure about side DE is that it is longer than side AB.
We can determine the following about side DE: 1. Since we know that < C is larger than < F, we can conclude that side DE is longer than side AB. This is because in a triangle, if an angle is larger, the side opposite that angle is longer.
2. However, we cannot determine the exact length of side DE based solely on the information provided. The length of side DE will depend on the specific measurements of angles < C and < F.
3. To determine the exact length of side DE, we would need additional information such as the measurements of angles < C and < F, or the lengths of other sides of the triangle.
4. Therefore, the only conclusion we can make for sure about side DE is that it is longer than side AB, but we cannot determine its exact length without further information.
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welp just awnser the best you can
Answer:
A. 584.6 or 585.
Step-by-step explanation:
Answer:
a. 584.6 ft²
Step-by-step explanation:
Area of regular hexagon by the length of side: 3√3/2 * side²
area = 3√3/2 * 15² = 584.57
help me with this question plz
Answer:
4
Step-by-step explanation:
4x +8 = 7x -4
3x = 12
x = 4
pls mark brainiest :)
Simplify.
Rewrite the expression in the form kz n
( 5z ) 2
Answer:
(5z)² in the form kzⁿ is 5²z².
There are 10 athletes at a track meet. How many different ways can they finish first or second?
Answer:
90
Step-by-step explanation:
base in my previous learning.. hope it helps
Answer: 90 different ways
====================================================
Explanation:
We have 10 ways to pick the first place finisher, and then 10-1 = 9 ways to pick the runner in second. Therefore, 10*9 = 90 different ways.
--------
The longer method you can use is to apply the nPr permutation formula which is
\(_nP_r = \frac{n!}{(n-r)!}\)
where in this case, n = 10 and r = 2. The exclamation marks indicate factorial. A permutation is used since order matters.
You have $20 to spend on taxi fare. The ride costs 5 plus $2.50dollar sign, per kilometer.
Write an inequality to determine the distance in kilometers, , you can ride for $20.
Answer: The maximum distance is 6 km
Step-by-step explanation:Let
d-----> represent the distance in kilometer
we know that
------> inequality that represent the situation
Solve for d
You roll a number cube two times. Which of the theoretical probabilities are accurate
P(1 then 0)= 1/2
P(even number then odd number)= 1/4
P( 6 then 2) = 1/36
P(even number then 5) =1/12
P(odd number than 2) = 1/6
You roll a number cube two times. The theoretical probabilities are accurate is P(even number then odd number)= 1/4
Probability:
Probability is the likelihood of something happening. When we are unsure of the outcome of an event, we can talk about the likelihood of certain outcomes - how likely are they to occur. The analysis of events governed by probability is called statistics.
According to the Question:
Let P(E), P(H), and P(E and H) be the probabilities of rolling an even number on a die, heads on a coin, and heads, respectively.
We know,
P(E and H) = P(E)×P(H)
Now, to find P(E and H), we have to find P(E) and P(H).
Total number of possible results of a die roll = 6
Favorable results of an event E = {2, 4, 6}
∴ Number of favorable results of an event E = 3
Therefore,
P(E) = number of favorable results of an event event E / possible results The total number of
⇒ P(E)=3/6=1/2
There are two possibilities for tossing a coin = {H, T}
∴ Probability of heads on a flip coin = P(H)= 1/2
Finally, the probability that
Lewis gets an even number and flips heads =
1/2×1/2 = 1/4
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On the coordinate plane, A(–1,5) and B(2,8) are vertices of equilateral triangle ABC. Find the perimeter of ABC.
The perimeter of ABC is approximately 8.83 units.
On the coordinate plane, the distance formula can be used to find the length of each side of the equilateral triangle ABC with vertices A(-1,5), B(2,8), and C(x,y) where x and y are unknown coordinates.
First, we need to find the distance between A and B. Using the distance formula:
AB = sqrt((2 - (-1))^2 + (8 - 5)^2) = sqrt(3^2 + 3^2) = sqrt(18)
Since ABC is an equilateral triangle, all sides have the same length. Therefore, AC and BC must also have length sqrt(18).
Now, we need to find the coordinates of point C. We know that AC and BC are both of length sqrt(18), and they meet at point C. This means that C must be located on the circle with center A and radius sqrt(18), as well as on the circle with center B and radius sqrt(18).
The intersection points of these two circles will be the possible coordinates for point C. Solving for x and y, we get:
A circle: (x + 1)^2 + (y - 5)^2 = 18
B circle: (x - 2)^2 + (y - 8)^2 = 18
Solving these two equations simultaneously, we get two possible values for C:
C1: (-2, 8)
C2: (5, 5)
Both of these points are equidistant from A and B, and they satisfy the condition of being on the circles with centers A and B, and radii sqrt(18).
Now that we have found the coordinates of point C, we can find the length of AC and BC using the distance formula:
AC = sqrt((-2 - (-1))^2 + (8 - 5)^2) = sqrt(10)
BC = sqrt((5 - 2)^2 + (5 - 8)^2) = sqrt(10)
Therefore, the perimeter of equilateral triangle ABC is:
AB + AC + BC = sqrt(18) + sqrt(10) + sqrt(10) = sqrt(18) + 2sqrt(10) ≈ 8.83
So, the perimeter of ABC is approximately 8.83 units.
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Please answer it now in two minutes
Answer:3.2 ft
Step-by-step explanation:
sin 32°=\(\frac{yz}{6}\)
cross multiply
sin 32° x 6=yz
0.5299 x 6 =yz
yz=3.1795
≅3.2ft
A graph has time on the x-axis and distance from home on the y-axis. Part A increases, part B is constant, part C increases, part D is constant, and part E increases. Which of these descriptions matches the graph? Jimmy is walking to a friend’s house at a constant rate. Jimmy is running late, so he starts to run to school but needs to take breaks. Jimmy is riding the bus to school at a decreasing rate. Jimmy’s bus drives at the same speed for parts A and C.
Answer: B
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
On a negatively skewed curve, which of the following statements is true?
a. The mean, median, and mode is the same.
b. The mode is lower than the mean which is lower than the median.
c. The median is lower than the mode which is lower than the mean.
d. The mean is lower than the mode which is lower than the median.
e. The mean is lower than the median which is lower than the mode.
Answer:
The mean is lower than the median which is lower than the mode.
Step-by-step explanation:
What is the answer 30 points to who ever finishes.
Answer:
the answer to what?
Step-by-step explanation:
theres no file attached, i think u forgot...
Simplify (5r^2t)^2(3r^0t^4)
Jackie And her friends of their favorite organization. Jackie received four times the votes warren received .there were 200 ballots cast how many votes did Jackie receive
Answer:
800
Step-by-step explanation:
What is the type of association between variables x and y?
strong positive
strong negative
perfect positive
no association
Answer:
B/2
Strong Negative
Hope this Helps! :)
Brainiest Please
I need to write an expression of this phrase: The amount of money Nina earned if she mowed the lawn for fifteen dollars and walked
to dog for four hours?
Answer:
X = 15+4Y
Step-by-step explanation:
The amount of money we can set as X
Since we dont know the amount of money she gets each hour we can set that to Y
Edward buys 6 yards of fabric for $15. How much money does it cost per
yard?
Answer:
$2.5
Step-by-step explanation:
15 divided by 6 because its asking to split into groups equally
Answer:2.5
Step-by-step explanation:
GUYS PLS HELP
What kind of
drawing is this
figure?
A. A triangle
B. A perspective drawing
C. A cylinder
D. A net
B: A perspective drawing
Answer:
B. perspective drawing.
Step-by-step explanation: perspective drawings can be inspirational drawing and can be imagined and created to be like anything and can be anything.
if 2 kg of potatoes cost £8.10, find the cost of 1 kg of potatoes
Answer:
£4.05
Step-by-step explanation:
1kg of potatoes= 8.10 divided by 2=£4.05