The Boston Celtics have won 16 NBA championships over approximately 50 years. Thus is may seemreasonable to to assume that in a given year the Celtics win the title with probability p = 16=50 = 0:32,independent of any other year. Given such a model, what would be the probability of the Celtics winningeight straight championships
Answer:
0.0001 = 0.01% probability of the Celtics winning eight straight championships.
Step-by-step explanation:
For each year, there are only two possible outcomes. Either the Celtics are the champions, or they are not. Each year is independent of other years. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
What would be the probability of the Celtics winning eight straight championships?
Each year, we have that [tex]p = 0.32[/tex]
Eight straight championships: [tex]P(X = 8)[/tex] when n = 8. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{8,8}.(0.32)^{8}.(0.68)^{0} = 0.0001[/tex]
0.0001 = 0.01% probability of the Celtics winning eight straight championships.
use the distributive property to rewrite each expression (2+g)8
Answer:
16+8g
Step-by-step explanation:
Just multiple everything by 8
Hope this helps (:
Answer:
8g+16
Step-by-step explanation:
I guess it can be kind of confusing when the number outside of the parentheses is on the right side of the equation? I don't know lol, but the same rules apply.
If it helps, rewrite it as: (2+g)8 --> 8(2+g)
Now multiply: (8*2)+(8*g)
Simplify: 16+8g or 8g+16 (however you want to write it)
what is the distance between -14 and 36 feet
Answer:
Your awnser is 50
Step-by-step explanation:
Have a great day! :D
Answer:
50
Step-by-step explanation:
because if you look on a line graph -14 then it takes 14 feet to get it to 0 then 36 more to get it even with 36 then add 14 and 36 and u get 50
A store has two different brands of laundry detergent. Brand A can
do 80 loads of laundry and costs $12.75. Brand B does 36 loads of
laundry and costs $6.75
Answer:
20=3.19
1=0.16
Step-by-step explanation:
Rounded to the nearest cent
12.75/80 to get unit price
Then unit price multiplied by 20
Josh has 4 boxes of candy to share with his 20 classmates. If each classmate receives the same amount of candy, how much candy should each classmate get? Your answer
Answer:
1/5 of a box of candy
Step-by-step explanation:
Because John has 4 boxes of candy, he needs to divide this by his 20 classmates. So we have 4/20, which reduces to 1/5. So each classmate would get 1/5 of a box of candy (assuming that Josh himself does not get any candy).
What is the answer??????????????????????
Answer:
I think so Yes
Step-by-step explanation:
Please help ASAP really need this
Answer:
[tex]21.79 + c \leq 25[/tex]
Joshua can spend up to 3.21 on a card.
Step-by-step explanation:
[tex]21.79 + c \leq 25[/tex] is the correct equation because Joshua is spending 21.79 on flowers, a certain amount on the card, and the maximum he can spend is 25. That is why you use the less than or equal to sign.
To solve, first subtract 21.79 from both sides to get: [tex]c \leq 3.21[/tex]. This means that Joshua can spend up to 3.21 on a card.
Hope it helps!
Add the difference of 16 and 9 to the quotient of 12 and 3
Answer: 11
Explanation:
*difference* is the answer you get when subtracting,
so, 16-9
you get 7,
*quotient* is the answer you get when dividing,
so, 12/3
you get 4,
finally, you add 4+7
which is 11
Hope this helps! :D
An engineer is planning a new water pipe installation. The circular pipe has a diameter of d = 20 centimeters. What is the area (A) of the circular cross section of this pipe?
║Give your answer in terms of ⫪║
Answer:
radius=diameter/2=20/2
=10cm/100=0.1m
Area of a circle=πr^2
A=π×0.1×0.1
A=0.01πm^2
How do I do Question 9?
Answer:
$9.30 x 30 minutes and $9:30 x 5 hours
Step-by-step explanation:
Write and solve an equation to find Marys. Mary is 6 years older than Ellen. Jim is 5 years older than Mary. If their total combined age is 41. How old is Ellen?
nggkkkb ghjkkjgh
ggjbdfhhkmbssrjokncfd
Don’t mind the check mark
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
when moving things over the equation sign, you must switch the sign (positive or negative) they didn't switch it
Which rational number equals 0 point 2 with bar over 2
The graph of r = -3 + 5cos theta is symmetric about the __________.
a.
y-axis only
c.
Origin only
b.
x-axis only
d.
No symmetry
The graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only
What is Symmetry?In mathematics, symmetry has a more precise definition, and is usually used to refer to an object that is invariant under some transformations; including translation, reflection, rotation or scaling.
Given that,
The graph of r = -3 + 5cosθ is symmetric about what?
When we plot the graph we can say that it is symmetric about x axis only.
Hence, the graph of r = -3 + 5cosθ is symmetric about the option (B) x axis only
Learn more about Symmetry click;
brainly.com/question/16180199
#SPJ3
Solve by matrix 2c+4p+2b=34, c+3p+b=22 , 3c+2b=17
9514 1404 393
Answer:
(c, p, b) = (3, 5, 4)
Step-by-step explanation:
A matrix solver is useful for this purpose. Most graphing calculators will do this, as will a number of web sites. Attached is the output from math software that also solves the matrix equation easily.
The solution is (c, p, b) = (3, 5, 4).
_____
The augmented matrix for the given set of equations is ...
[tex]\left[\begin{array}{ccc|c}2&4&2&34\\1&3&1&22\\3&0&2&17\end{array}\right][/tex]
The revenue of a company is represented by 3x² + 9x + 5 and the costs by 3x² + 3x + 21. If the profit can be found by subtracting cost from revenue, what expression could represent the profit? I
Which of these is part of the solution for x > -5?
A
-15
B
-6
C
-5
D
5
Answer:
d
Step-by-step explanation:
because its reverse for negative the lower the better or in this case 5 because its on the other side of 0
Answer:
D. 5
Step-by-step explanation:
A 6-foot roll of butcher paper costs $1.44. What is the price per inch?
The price per inch of butcher paper is $0.02.
What is a word problem?"A word problem is a verbal description of a problem situation wherein one or more questions are posed, the answers to which can be obtained by the application of mathematical operations to information (usually numerical data) available in the text".
For the given situations,
A 6-foot roll of butcher paper costs = $1.44. Then
1-foot roll of butcher paper costs = [tex]\frac{1.44}{6}[/tex]
⇒ [tex]\$0.24[/tex]
1 foot = 12 inches
⇒ 12 inches roll of butcher paper costs = $0.24
Therefore, 1-inch roll of butcher paper costs = [tex]\frac{0.24}{12}[/tex]
⇒ [tex]\$0.02[/tex]
Hence we can conclude that the price per inch of butcher paper is $0.02.
https://brainly.com/question/14142404
#SPJ2
find the perimeter n area pls !
Answer:
6yx
Step-by-step explanation:
define oayday lenders
describe the possible lengths of the third side of the triangle given that the lengths of the other two sides are 5 inches and 12 inches
Answer:
60
Step-by-step explanation:
PLEASE HELP ME !!!! 17pts
Consider the graph of f shown be
Estimate the average rate of change from X = 2 to x = 5.
Answer:
Average rate of change = [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
We have to calculate the average rate of change of the graph at x = 2 to x = 5.
From the graph attached,
At x = 2,
f(2) = 3
At x = 5,
f(5) = 7
Since, average rate of change of the function between x = a and x = b is defined by,
Average rate of change = [tex]\frac{f(b) - f(a)}{b - a}[/tex]
Therefore, average rate of change of the function represented by the graph will be = [tex]\frac{7-3}{5-2}[/tex]
= [tex]\frac{4}{3}[/tex]
The Aquarium charges $16.00 for admission and $2.50 for each ride ticket. Mountain Rides charges $25.00 for admission and $0.25 for each ride ticket. For what number of ride tickets will the cost be more at The Aquarium?
Answer:
B
Step-by-step explanation:
Because 16 + 2.50 is less than 25 + 0.25x
Sam can ride his bike 4.2 kilometers in 6 minutes. Amanda can ride her bike 3.2 kilometers in 8 minutes. Jesse can ride his bike 3.0 kilometers in 5 minutes.
Which rider might go farther in 1 minute?
Answer:
jesse or sam i think its sam by a little bit.
Step-by-step explanation:
Answer:
Sam
Step-by-step explanation:
Find all of their speeds to find how far they will go in 1 minute, by dividing the number of kilometers by the number of minutes:
Sam
4.2/6
= 0.7 km/min
Amanda
3.2/8
= 0.4 km/min
Jesse
3/5
= 0.6 km/min
Since 0.7 is the greatest number, that means Sam is the rider that will go the farthest in one minute.
mr dela cruz uses 18 yards of cloth for making 5 pants how many pants will he make for 72 yards of cloth
Answer:
18÷5= 3.6
3.6 = 4 yards
72 yards of cloth ÷ 4 yards of cloth = 18 pants
Step-by-step explanation:
3.6 yards rounded to the nearest is 4. So it takes 4 yards of cloth to make 1 pants. Since it takes 4 yards of cloth to make 1 pants, we simply divide 4 yards into 72 yards which equals to 18 pants.
Prove that 17^16+17^14 is divisible by 5
We'll use the exponent rule that a^(b+c) = a^b*a^c
to break up 17^16 into 17^(14+2) = 17^14*17^2
That allows us to factor like so
17^16+17^14
17^14*17^2+17^14*1
17^14(17^2 + 1)
Computing 17^14 is a lot more difficult compared to computing 17^2 + 1, assuming you only could use paper and pencil.
Note that 17^2 = 17*17 = 289, so 17^2 + 1 = 289+1 = 290
Because 290 ends in a 0, this means that 5 is a factor
290 = 5*58
This makes 5 to be a factor of the original expression.
----------------
So overall,
17^16+17^14 = 17^14(17^2 + 1) = 17^14*290 = 17^14*5*58 = 5*17^14*58
The stuff "17^14*58" doesn't matter. All we care about is that factor of 5.
Since 5 is a factor, this means that 17^16+17^14 is a multiple of 5, or 17^16+17^14 is divisible by 5.
Phrased another way, 17^16+17^14 all divided over 5 leads to some integer. In this case, the integer would be the result of 17^14*58.
Amy works at a surf shop at the beach during the summer. She is paid at a rate of $4 each hour, plus she
earns 7% commission on each sale that she makes,
Which equation correctly represents Amy's total income () in terms of (h) how many hours she works
and (s) how much she sells?
Answer:
4h+.07s
Step-by-step explanation:
four dollars per hour plus 7 percent of her sales
For the given data, the suitable equation which will correctly represent Amy's total income in terms of (h) and (s) that will represent sales is 4h+.07s.
What is the meaning of the term “equation”?A mathematical equation, states that two amounts or values are equal. Countable noun A scenario known as an equation is one in which two or more components must be taken into account in order to comprehend or understand the overall situation.
Identify the inquiry being made. Simple statements should be used to record the pertinent information. Assign symbols to values that are still unknown. Calculate the mathematical relationships between the assertions.
During the summer, Amy works at a beachside surf shop. She gets paid $4 per hour, plus she receives a 7% commission on every sale she closes. The proper formula is 4h+.07s.
Learn more about equation from here:
https://brainly.com/question/15707224
#SPJ2
Round 0.043 to the nearest hundred
Answer:
0.04
Step-by-step explanation:
Find the number in the hundredth place, in this case its 4
and look one place to the right for the rounding digit, in this case its 3
Round up if this number is greater than or equal to 5 , and round down if it is less than 5.
Answer:
0.04
Step-by-step explanation:
I was taught "5 or more, let it soar, 4 or less, let it rest" Since the number next to the hundreths place is 3, the 4 stays the same.
(hope this helps :P)
How did you even get 10?
A
10 for what? is there a problem? I could help solve it
Step-by-step explanation:
Help me out with this
Answer:
What is 2x + 5 (y-1) when x=8 and y=5
Step-by-step explanation:
HELP ME
Answer:
40:60:80
Step-by-step explanation:
....... . ...........