Answer:
The mean number of tiebreakers is of 35.2 and the standard deviation is of 5.44.
Step-by-step explanation:
For each set, there are only two possible outcomes. Either it goes to a tiebreak, or it does not. The probability of a set going to a tiebreak is independent of any other set, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
The probability that a tennis set will go to a tiebreaker is 16%.
This means that [tex]p = 0.16[/tex]
220 randomly selected tennis sets
This means that [tex]n = 220[/tex]
What is the mean and the standard deviation of the number of tiebreakers?
[tex]E(X) = np = 220*0.16 = 35.2[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{220*0.16*0.84} = 5.44[/tex]
The mean number of tiebreakers is of 35.2 and the standard deviation is of 5.44.
HELP NEEDED!! QUESTION BELOW
Answer:
A
Step-by-step explanation:
The values will increase because the multiplier is greater than 1 (1.05).
please help:) thank you
3. Given the bar chart below,
(a) draw a frequency table from the graph.
(b) calculate the mean mark.
(c) what is the modal mark?
(d) find the median mark.
(e) if a student is selected at random, what is the probability that he/she scored
not less than 3 marks?
7
Frequent
п
0
-
0
3
5
N
6
6
Marks
Answer: shehshywhwyw
Step-by-step explanation:
help it's due tomorrow
answer: 72
wordswordswords
Plz help me well mark brainliest if correct..???
Answer:
23 students letter d ran the 50 yard dash
Answer:
18
Step-by-step explanation:
the time of the students:
23,24,24,28,32,32,34,35,37,37,38,41,43,56,55,55,56,61
there are 18 number so 18 students did it
Ralph rolls a single die two times in a row. What is
the probability that he will roll a "three" both times?
Answer:
1/18 i think
Step-by-step explanation:
The probability of occurring 3 both times will be 1/36.
What is probability?
The probability of an event occurring is defined by probability.
Probability is also called the chance because if you flip a coin then the probability of coming head and tail is nothing but chances that either head will appear or not.
Do not take underestimate probability it has several uses in daily life whether forecasts or like that.
Probability of occurring 3 for the first time ⇒
number of outcomes/number of sample
Sample space {1,2,3,4,5,6} and outcome is 3
So,
P = 1/6
Probability of occurring 3 in second time⇒
number of outcomes/number of sample
Sample space {1,2,3,4,5,6} and outcome is 3
So,
P = 1/6
So,
Probability of occurring 3 both times = 1/6 × 1/6 = 1/36
Hence "The probability of occurring 3 both times will be 1/36".
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what is the value of the function when X equals four? on a coordinate plane.
Solution :
From the given graph the x-intercept is 2 and y-intercept is -1 .
So, equation of line in intercept form is :
[tex]\dfrac{x}{2} + \dfrac{y}{-1} = 1\\\\x - 2y = 2[/tex]
[tex]y = \dfrac{x-2}{2}[/tex]
Now, putting x = 4 in above equation, we get :
[tex]y = \dfrac{4-2}{2}\\\\y = 1[/tex]
Therefore, the value of function at x =4 is 1 .
Find the length of side y.
y=_ft
Answer:
y = 5.66388 feet, (round that to whatever you need to round to)
Step-by-step explanation:
cos (51) = y/9
cos(51)*9=
y = 5.66388 feet
Find the volume of the following cone. Area of base = 54 cm?
A) 180
B) 422.54
C) 513.33
Answer:
The volume of the cone is of 18h, in which h is the height of the cone.
Step-by-step explanation:
Volume of a cone:
The volume of a cone with base area [tex]A_b[/tex] and height h is given by:
[tex]V = \frac{A_bh}{3}[/tex]
Area of base = 54 cm
This means that [tex]A_b = 54[/tex] and thus:
[tex]V = \frac{54h}{3} = 18h[/tex]
The volume of the cone is of 18h, in which h is the height of the cone.
What is diameter d in meters if the distance around the track is 400 meters round your answer to the nearest tenth
24 boys, 45 girls and 281 adults are the members of a badminton club.
50 more children join the club.
The number of girls is now 18% of the total number of members.
How many of the 50 children were boys?
24+45+281+50=400
(45+n/400)×100=18
45+n=18×4=72
n=72-45=27
50-27=23.
hope it's correct
23 of the 50 children added were boys. The answer is 23 boys
Given that 24 boys, 45 girls and 281 adults are the members of a badminton club.
Total number of people as members of badminton = 24 + 45 + 281 = 350
Percentage of girls = girls/total number x 100
% of girls = 45/350 x 100
% of girls = 12.9%
If 50 more children join the club, and the number of girls is now 18% of the total number of members. Then, the new total number of members will be
New total members = 350 + 50 = 400
Let g = new added girls from the children
Percentage of girls = girls/total number x 100
18 = (g + 45) / 400 x 100
18/100 = (g + 45) / 400
cross multiply
0.18 x 400 = g + 45
72 = g + 45
make g the subject of formula
g = 72 - 45
g = 27 girls
To get the number of boys added, take 27 away from the 50 children. That is,
The number of boys added = 50 - 27 = 23 boys
Therefore, 23 of the 50 children added were boys
Learn more about arithmetic here: https://brainly.com/question/6561461
Plz help me well mark brainliest if correct.....
.......????
Answer:
C) The mean is about 100.
Step-by-step explanation:
We see that the best fit line (out of the options listed) would be y=100. The mean can also be algebraically calculated with the following equation:
Let [tex]a[/tex] be the mean (average) of the values:
[tex]a=\frac{75+50+100+125+75+150}{6}=95.8\overline{3}[/tex], which is closest to answer choice C) The mean is about 100.
Suppose a basketball player is an excellent free throw shooter and makes 90% of his free throws (i.e., he has a 90% chance of making a single free throw). Assume that free throw shots are independent of one another. Find the probability that the player misses three consecutive free throws. 0.729 0.271 0.001 0.999
Answer:
The answer is "0.001 ".
Step-by-step explanation:
In this question, the shot value is missing So its solution can be defined a follows:
let
shot value= 3
The chances of missing a free takeoff [tex]= 1- 0.90 = 0.1[/tex]
All three free throws are probably gone[tex]= 0.1^3 = 0.001[/tex]
A food company puts exactly 10 sliced carrots in each bag of frozen vegetables. Let b represent the number of bags of frozen vegetables and c represent the total number of sliced carrots. The table shows the relationship between b and c. Which equation below represents the relationship between b and c?
Answer:
c = 10*b
Step-by-step explanation:
We know that in each bag, we have exactly 10 sliced carrots.
so if b represents the number of bags, and c the number of sliced carrots, for each one of the b bags we will have 10 sliced carrots, then for b bags, we have b times 10 carrots:
c = 10*b
So for example, if we have one bag, b = 1
c = 10*1 = 10
So in one bag, there are 10 carrots.
if instead, we have 3 bags, b = 3
c = 10*3 = 30
in 3 bags we have 30 carrots.
Then the equation that represents the relationship between b and c is:
c = 10*b
or
b = c/10
Plz help me well mark brainliest if correct
Answer:
387 is the answar because number of milk sold on monday is 212 and in tuesday 175
212+175=387
Answer:
387
Step-by-step explanation:
The addition of milk sold on monday with milk sold on tuesday
which is
212+175=387
3. Solve for each power. 4 to the third power.
Answer:64
Step-by-step explanation:
Answer: 4 to the third power is represented as:
4^3 = 64
Hope this helped!
Trish and Aria are walking to raise money for the school library. Trish has walked 38 miles and walks 10 miles each week. Aria has walked 30 miles and walks 12 miles each week. Part A Drag numbers to complete the table to show the number of miles each girl has walked after each week. Numbers may be used once, more than once, or not at all. 5638907848426658 Name Start Week 1 Week 2 Week 3 Week 4 Week 5 Trish 68 88 Aria 30 54 Part B After how many weeks will Trish and Aria have walked the same number of miles? A. 2 weeks B. 3 weeks C. 4 weeks D. 5 weeks
Answer:
4 weeks
Step-by-step explanation:C. 5 weeks 90+48 138
88+40 138
Step-by-step explanation:
s
What is the approximate area, rounded to the nearest square inch, of the frame only? Use 3.14 for 1
Answer:
Step-by-step explanation:
area of square=l^2
=12^2
=144 in.^2
The sum of a number and twenty-one is sixty-four.
What is the value of the number?
The number equals
Answer:
43
Step-by-step explanation:
64-21= 43 :))))) ez
Answer:
43
Step-by-step explanation:
I hope you pass your test!
EDG2021 <3
Could someone please help me because I am rubbish at maths?
15% of £40
the answer of this equation is 6
Answer:
£6.00
Step-by-step explanation:
15/100×40
=£6.00
A sample of radium has a weight of 1.5 mg and decays
by half every 6 years. Circle all of the following
functions that correctly model the amount of radium
f(t) in mg remaining after t years
Answer: [tex](b)[/tex]
Step-by-step explanation:
Given
Initial mass of radium is [tex]A_o=1.5\ mg[/tex]
It decays by half every 6 years i.e. [tex]T_{\frac{1}{2}}=6[/tex]
For radioactive decay, sample at any time is given by
[tex]\Rightarrow A=A_o2^{-\dfrac{t}{T_{\frac{1}{2}}}}[/tex]
Insert the values
[tex]\Rightarrow A=1.5\cdot 2^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot \left(\dfrac{1}{2}\right)^{\dfrac{-t}{6}}\\\\\Rightarrow A=1.5\cdot (0.5)^{\dfrac{t}{6}}[/tex]
Thus, option (b) is correct.
PLEASE ANSWER ASAP!!! I WILL MAKE YOU BRAINLIST Find the length of the third side. If necessary, round to the nearest tenth.
Answer:
15
Step-by-step explanation:
a^2 + b^2 = c^2
20^2 +b^2 = 25^2
400 + b^2 = 625
-400 -400
b^2 = 225
b = √225
b = 15
Karen and Caroline saved up a total of $61. They decided to spend $25 on candy and $17 on ice cream. How much money did Karen and Caroline have left?
Answer:
$19
Step-by-step explanation:
$61-$25=$36-$17=$19
Solve.
(3- y) (2 y– 9)=0
(If there is more than one solution, separate them with commas.)
Answer:
3 , 9/2
Step-by-step explanation:
(3- y) (2 y– 9)=0
y=3 , y= 9/2
please help me i really need help[ please
Answer:
70.69
Step-by-step explanation:
Area = [tex]\pi r (r + \sqrt{h^2+r^2} )[/tex]
Area = [tex]\pi (2.5) (2.5 + \sqrt{(6)^2+(2.5)^2} )[/tex]
Area = 70.68583471
Area = 70.69
does anyone know the answer to this i need help really bad!!!
Step-by-step explanation:
1/20.5 is yr ansstay safe healthy and happy...Every given minute an ameba is equally likely to do one of 3 things: (1) Die (2) Divide into two (3) Stay the same. If the ameba divides, each of the two cells will continue the above cycle independently. What is the probability that the ameba colony generated from a single cell will eventually die out.
Required:
What is the probability that the ameba colony generated from a single cell will eventually die out?
Answer:
1
Step-by-step explanation:
we have the probability of dyng = 1.3
we have probability of ying =
p0 = p1 = p2 = p3 = 1/3
d = dying
[tex]d=\frac{1}{3} (1+d+d2)[/tex]
we cross multiply from here
3d = 1+d+d2
3d-d = 1+d2
2d = 1 + d2
(d-1)2 = 0
2d - 2 = 0
2d = 2
divide through by 2
d = 1
therefore there is a a confirmed probability that the ameba from a single cell is eventually going to die out.
Pls help I’ll brainlest
Answer:
Choice B
Step-by-step explanation:
7.1×10⁵ = 710,000
Answer:
The answer is B. 7.1 times 10^5.
Step-by-step explanation:
To convert a number to scientific notation, place or move the decimal point of a number until the coefficient of the number is greater than 1 and less than 10. Record down the coefficient and count the number of steps the decimal point was moved. The number of steps moved is taken as the exponent.
In 710,000, the decimal is moved to the left 5 times. Thus, causing 710,000 to written as 7.1 times 10^5 in scientific notation.
In which quadrant is the value of the x coordinate of a point on the unit circle always greater than the y coordinate
A. First quadrant
B. Second quadrant
C.third quadrant
D. Fourth quadrant
The correct option is second quadrant.
what is unit circle?A circle having a radius and length of one is known as a unit circle. However, it frequently includes additional bells and whistles. Right triangle relationships known as sine, cosine, and tangent can be defined on a unit circle. These correlations explain the connections between the sides and angles of a right triangle.
Given:
x coordinate of a point on the unit circle always greater than the y coordinate.
So, We know that in the second quadrant of unit circle case has x coordinate of a point on the unit circle always greater than the y coordinate.
Hence, the correct option is second quadrant.
Learn more about unit circle here:
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You are the manager of a movie theater, and you are
analyzing attendance data from last weekend. On
Friday evening, 285 people come to see a new
animated movie. On Saturday evening, 355 people
come to see the same movie.
What is the approximate percent increase in
attendance?
Answer:
total number of people on Friday = 285
total number of people on Saturday = 355
total increment = 355-285 = 70
total increase percentage = 70÷285*100
= 24.56%
hope it helps!