The apprοximate prοbability that Ankit will make all three shοts is 0.405 οr 40.5%. Thus, option a is correct.
What is binοmial distributiοn?A prοbability distributiοn knοwn as the binοmial distributiοn is used tο characterize the number οf successes in a certain number οf independent trials, where each trial has οnly οne οf twο pοtential οutcοmes (success οr failure) and the chance οf success is cοnstant acrοss all trials. Fοr determining the likelihοοd οf achieving a certain number οf successes in a set number οf trials, it is utilised.
Given, Ankit makes 74% οf the free thrοws.
Using binοmial distributiοn we have:
[tex]$\rm P(X=k)= (^nC_k) \times p^{k} \times (1-p)^{(n-k)}$[/tex]
Fοr k = 3 we have:
[tex]$ \rm P(X=3)=(^3C_3) \times 0.74^{3} \times (1-0.74)^{(3-3)}$[/tex]
[tex]$ \rm P(X=3)=0.74^{3}$[/tex]
P(X=3) ≈ 0.405
Hence, the apprοximate prοbability that Ankit will make all three shοts is 0.405 οr 40.5%.
Learn more about binomial distribution here:
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Which graph has a slope of 4/5?
Answer:
remake question and comment on this answer. don't forget the pictures of the graphs!
Simplity (4^-2)^5
A.1/4^10
B. 4^3
C.1/4^3
D. 4^10
Answer:
[tex](4^{-2})^5=\dfrac{1}{4^{10}}[/tex]
Step-by-step explanation:
The given expression is : [tex](4^{-2})^5[/tex]
We need to simplify the above expression.
We know that, [tex]x^{-a}=\dfrac{1}{x^a}[/tex]
or
[tex](4^{-2})^5=(\dfrac{1}{4^2})^5\\\\=\dfrac{1^5}{(4^2)^5}\\\\\because (x^b)^c=x^{b\times c}\\\\=\dfrac{1}{4^{10}}[/tex]
So, the simplified form of the given expression is [tex]\dfrac{1}{4^{10}}[/tex]. Hence, the correct option is (A).
Answer:
The answer is a 1/4^ 10.
Step-by-step explanation:
Find the length of ĀB.
A. About 3.6 units
B. 89 units
C. 13 units
D. About 9.4 units
Answer:
D. About 9.4 units
Step-by-step explanation:
[tex]ab = \sqrt{ {(9 - 4)}^{2} + {(10 - 2)}^{2} } \\ ab = \sqrt{ {(5)}^{2} + {(8)}^{2} } \\ ab = \sqrt{25 + 64} \\ ab = \sqrt{89} \\ ab = 9.43398 \: units[/tex]
HELP ASAP I will mark brainliest
Answer:
option 4
Step-by-step explanation:
A department store sells a pair of shoes with an 56.3% markup. If the store bought the pair of shoes for $43.75, what is the selling price to the nearest cent?
Answer:
The selling price for the shoes will be $68.35
Step-by-step explanation:
Which solution set is graphed on the number line?
O x21
O x>1
0x<1
O x51
Answer:
x < 1
Step-by-step explanation:
x is less than 1, we can see
we have an open circle, so x is only less than 1
it does not include 1
so answer is x < 1
The number of turtles in a lake increased by 20% between last year and this
year. Last year there were 110 turtles in the lake. What is the population
this year?
A. 88 turtles
B. 90 turtles
C. 132 turtles
D. 138 turtles
36 flowers in 4 vases = flowers per vase?
Answer:
9 flowers per vase
Step-by-step explanation:
36 divided by 4 is 9
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The tables represent linear relationships. Determine if each relationship is a
proportional or nonproportional situation please help
Answer:
5. proportional
6. nonproportional
The student council has $800 to spend on homecoming t-shirts. The number of t-shirts they can buy is a function of the price of the price of the t-shirt p, in dollars, given by n(p)= 800 over p.
Answer:
the price of the t-shirt is inversely proportional to the number of t-shirts to be bought.
Step-by-step explanation:
The total amount to be spent on t-shirts is $800.
The function;
n(p) = 800 / p (price in dollars)
as the price per shirt increases, the number of shirt decreases and the curve moves down towards zero. When the price per shirt decreases, the number of shirt increases moving the curve upwards to infinity
Step 1:draw a triangle
Step 2:label the triangle using the given information .
Step 3: create and solve an equation to find the missing or angle.
At a point 30 feet from the base of a tree, the angle formed with the ground looking to
the top measures 53. Find, to the nearest foot, the height of the tree.
Can someone help me?
Answer:
40 feet to the nearest foot.
Step-by-step explanation:
The tree , the distance from the base of the tree on the ground (30 ft) and the distance from this point to the top of the tree form a right triangle.
So if the height of the tree is h:
tan 53 = h / 30
h = 30 tan53
h = 39.81 feet.
Two cars were at a gas station, a red car and a blue car. The red car filled up with 12 gallons of gas and was able to travel. The blue car filled up with 15 gallons of gas and was able to travel 330 miles. What was the gas mileage of each car? Which car got better gas mileage?
Answer:
Red Car Gas mileage:
= Distance travelled/ Gas used
= 300/12
= 25 mpg
Blue Car gas mileage:
= 330/15
= 22 mpg
The car with the better mileage is the one that goes further per gallon of gas which is the Red Car.
Given that α and β are the roots of the equation x² + 3x + 4 = 0, what is the value of
( α + β)²
Answer:
9
Step-by-step explanation:
sum of roots = α + β
= -b/a
= -3/1 …………………. [b = 3, a = 1]
= -3
(α + β)² = ( -3 )² = -3 × -3 = 9HOPE THIS HELPS YOU
HOPE THIS HELPS YOUFollw me = 10 thanks
HOPE THIS HELPS YOUFollw me = 10 thanksMark as brainliest = 10 thanks
HOPE THIS HELPS YOUFollw me = 10 thanksMark as brainliest = 10 thanks1 thanks to me = 2 thanks
HELP PLEASE ANSWER 7
Answer:
f(x) = 7
Step-by-step explanation:
we use the bottom equation (4x+3) because
1 > 0
so
4(1) +3 = 7
Becky has 785 tickets to trade for prizes. She picks a book that cost 27 tickets and a toy that cost 3 times as many tickets as the book. How many tickets does she have left?
Answer:
677
Step-by-step explanation:
785-27= 758
27*3= 81
758- 81= 677
I hope this helps!!!!
The figures shown are similar. Find the lengths of x,y and z
Answer:
explanation po sana ang kailangan
Noah's family also wants to blow up a total of 60
balloons for the party. Yesterday they blew up 24
balloons. Today they want to split the remaining balloons
equally between four family members.
Answer: They each will get 9 balloons
Step-by-step explanation: I got my answer by doing 60-24=36 then i divided it between each of the 4 family members with equals 9 per famil member!
31
1/20
What is the x-value of the system of equations shown below?
2x + y = 6
y = 3x - 4
3
-2.
2.
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Answer:
x=2
Step-by-step explanation:
First you put the equations in the form of y = mx + b
Then once they are like that it would look like:
y = -2x + 6
y = 3x - 4
So then you can set them equal to each other and it will look like this:
-2x + 6 = 3x - 4
Then you add 2x to both sides and get:
6 = 5x - 4
Next, add 4 to both sides and get:
10 = 5x
So then you will simplify by dividing both sides by 5 and getting:
2 = x
What is the sum of 2^5 and 7^2? Write the answer in the ordinary form.
Answer:
It's 81
Step-by-step explanation:
2^5 is 2*2*2*2*2 or 32
7^2 is 7*7 or 49
Add them together... 81
A number is first increased by 20 and then doubled. The result is 2 less than 5 times
the number.
whats the equation?
i think maybe ? x+20*2=5-2*x
Answer:
Step-by-step explanation:
i think maybe ? x+20*2=5-2*x
Grace earns $12 per hour. Phillip's earnings can be represented by the equation y = 10x where x is the number of hours worked and y represents the total amount earned. Who earns more? *
Answer:
Grace earns more. Her equation would be y = 12x, while Phillip's equation is y = 10x. Grace earns $2 more per hour.
Step-by-step explanation:
I sell video games, clothes, sneakers, and more. Check me out. h t t p s : / / w w w . m e r c a r i . c o m / u / 6 4 6 4 5 4 8 0 6
Answer: y=120
Step-by-step explanation:
a car travels 120 km in one and a half hours. what is the average speed
Answer:
The speed would be 60kph.
Answer:
80 mph (average)
Step-by-step explanation:
Split 120 into thirds, each one being half an hour.
120/3=40
Add two of them together, getting 80.
40x2(or 40+40)=80
Since the car travels 80 miles in one hour, 80 mph is the average speed.
Please help me due soon please
Answer:
First one is quinton
second one is 900
Step-by-step explanation:
Answer:
Card #10: Quiesha is right
Card #6: Ulysses is right
I neeeeeeddddd helppppppppppppppp
is this right?
Answer:
no the answer is 7.....
Answer:7
Step-by-step explanation:
27 divided by 3 is 9.
so
21 divided by 3 will give u the answer which is 7.
Which expression represents the correct form of the partial fraction decomposition of 19x + 20 answer asap
Answer:
B
Step-by-step explanation:
got it right on edge
A rectangular lawn has a diagonal path running across it. The lawn is 10m wide and 15m long. Work out the length of the path
Answer:
d = 18.02 m
Step-by-step explanation:
Given that,
A rectangular lawn has a diagonal path running across it. The lawn is 10m wide and 15m long.
We need to find the length of the path.
The diagonal of a rectangle can be calculated as follows :
[tex]d=\sqrt{10^2+15^2} \\\\d=18.02\ m[/tex]
So, the length of the path is 18.02 m.
Determine if the pair of figures are congruent and select the appropriate theorem if applicable.
A
The figures are not necessarily congruent.
B
The figures are congruent via the SSS Congruence Theorem.
C
The figures are congruent via the ASA Congruence Theorem. D
The figures are congruent via the SAS Congruence Theorem.
Answer:
ASA theorem
As you can see there are ángeles and only a line
Help plz ! Find the slope of the line
Answer:
-2/1
Step-by-step explanation:
HELP PLS AHHH JSBDNSJDNSN
Answer:
Translation you buffoon
Step-by-step explanation:
Answer:
TRANSLATION. A
Step-by-step explanation:
JSBDNSJDNSN
Jay has an album that holds 600 photos each page of the album holds 6 photos of 54% of the album is empty how many pages are filled with photos
Answer:
46 pages are filled
Step-by-step explanation:
54% of 600 is 324
600 - 324 = 276
276 / 6 = 46
Happy New Year!