Answers
Step-by-step explanation:
the probability of making one shot is 75% or 0.75 or 3/4.
the probability to make 2 shots is then
3/4 × 3/4 = 9/16 = 0.5625
and so on.
the probability to miss 1 shot is then 25% or 0.25 or 1/4.
the probability to make at least 4 out of 5 shots is the sum of the probability to make all 5 shots plus the probability to make 4 shots.
or the probability to miss 0 plus the probability to miss 1 shot.
anyway, we can go with the positive approach. it seems to be the same complexity as the negative approach.
the probability to make all 5 shots is
(3/4)⁵ = 3⁵/4⁵ = 243 / 1024 = 0.237304688...
the probability to e.g make the first 4 shots and miss the 5th is
(3/4)⁴×1/4 = 3⁴/4⁵ = 81 / 1024 = 0.079101563...
how many possibilities do we have to make 4 out of 5 shots ?
there is no repetition, and the sequence inside the "picked" 4 does not matter, so we need combinations :
C(5,4) = 5! / (4! × (5-4)!) = 5
so, the probability to make exactly 4 out 5 shots is
81/1024 × 5 = 405/1024 = 0.395507813...
and the total probability to make at least 4 shots is
243/1024 + 405/1024 = 648/1024 = 81/128 = 0.6328125
to control,
this plus making exactly 3 plus exactly 2 plus exactly 1 plus none must be the probability 1 (as there is no other possible outcome).
making 3 :
(3/4)³×(1/4)² = 3³/4⁵ = 27/1024
C(5,3) = 5×2 = 10
270/1024
making 2 :
3²/4⁵ = 9/1024
C(5,2) = 5×2 = 10
90/1024
making 1 :
3/1024
C(5,1) = 5
15/1024
making 0 :
1/1024
in sum
(270+90+15+1)/1024 = 376/1024
plus the 648/1024 = 1024/1024 = 1
correct.
Related Questions
Warm up: solve for the variable
3 = x/5
Answers
Answer:
x=15
Step-by-step explanation:
multiply 5 by both sides to get rid of 5 on the second side --> 3x5=x/5x5
15=x
ur wecome :)
brainliest please?
x ^ 2 + y ^ 2 + 6y - 67 = 2y - 6x; circumference
Answers
Answer:
(x+3)^2+(y+2)^2=80
Step-by-step explanation:
John is traveling at 48 miles per hour and his distance can be written as d = 48t.
How far will John travel if he travels for 5 hours?
Answers
Answer:
240 miles
Step-by-step explanation:
To find how far John will travel is he travels 48 miles per hour for 5 hours, you can multiply John's speed (48 mph) with his travel time (5 hours) to get:
48 mph × 5 hours = ?
48 × 5 = 240
Therefore, John will travel 240 miles if he travels for 5 hours at 48 miles per hour.
??? ??????????????????????
Answers
Answer:
28.86338
Step-by-step explanation:
find the area of the whole circle and then divide by 3, since the shaded part is about 1/3 of the whole cricle.
A rectangular prism fish tank measures 6.2 cm × 4.7 cm × 2.3 cm.
Find the volume of the fish tank and round to the nearest hundredth if necessary.
Answers
Answer:
The volume of the fish tank is 67.02
Step-by-step explanation:
To find the volume of a rectangular prism, multiply length times width times height.
V = L*W*H
V = 6.2*4.7*2.3
V = 67.022
67.022 rounded to the nearest hundredth would equal 67. 02
The attached image shows a few of the different volume formulas.
if you borrow 800$ for 10 years and the interest rate is 7% how much do you pay altogether?
Answers
Answer:
Answer is
1,760
Step-by-step explanation:
960+800=1,760
Find the Mean given Normal Curve Values (please help and explain your answer)
Answers
Answer:
mean = 22
Step-by-step explanation:
34 = mean + 2sd
4 = mean - 3sd ==> mean = 4 + 3sd
34 = 4 + 3sd + 2sd
30 = 5sd
sd = 6
mean = 4 + 3*6 = 4 + 18 = 22
Write 12x + 4y= –36 in slope-intercept form. y= x− .
Answers
[tex]~~~~~12x+4y = -36\\\\\implies 3x +y = -9\\\\\implies y = -3x -9[/tex]
- - - - - - - - - - - - - - - - - - - -- - - - - - - - - - -- - - - - - -- - - - - - - - --
[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Write 12x+4y=-36 in slope intercept form.
[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]
Slope intercept form looks like so:-
y=mx+b
Right now the line's equation is written in standard form, ax+by=c.
First, subtract 12x on both sides:-
4y=-36-12x
Now divide by 4 on both sides:-
y=-9-3x
On further simplification,
switch -9 and -3x places (it's not mandatory)
y=-3x-9
That's our equation in slope intercept form.
Good luck.- - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - -- - - -
What is the area of the shape shown below? Round your answer to the neatest tenths
Answers
Answer:
42.5
Step-by-step explanation:
Area- (9.0×3.5) +1/2(5×2) + (2×2)
=31.5+2+5+4
=42.5
hope it helps!!!
A garden has the shape of a circular sector such that its straight sides measure 50 feet in length and the central angle is 132°. if the garden needs to be surrounded by fencing, how many feet are needed to enclose the garden?
Answers
Answer:
215 ft
Step-by-step explanation:
The length of the surrounding fence is equal to the perimeter of the garden. That is the sum of the lengths of the straight sides and the curved arc. The arc length is given by the formula ...
s = r·θ . . . . . where θ is the central angle in radians
__
arc lengthThere are π radians in 180°, so the arc will have a measure in radians of ...
θ = 132° × (π/180°) = 11/15π ≈ 2.3038 . . . . radians
Then the length of the curved side of the garden is ...
s = (50 ft)(2.3038 radian) ≈ 115.2 ft
__
perimeterThe fence length is the sum of the arc length and the two radii:
perimeter = 115.2 ft + 2×50 ft = 215.2 ft
About 215 feet of fencing are needed to enclose the garden.
the owners of a company want to invest $12000 for 4 years.a which account should they choose.Explain
account a earns 5% simple interest
account b earns 5% interest compound annually
Answers
Answer:
Compound interest
Step-by-step explanation:
Simple interest in 4 years = 5% *4 = 20%
Compound interest in 4 years = 1.05^4 - 1 = 21.55%
Compound interest is higher than simple interest in any case more than 1 year
How many buses do you need for 750 people if each bus holds 150 people?
Answers
Answer:
5 buses
Step-by-step explanation:
As, 150 people are hold by= 1 bus
therefore,
750 people are hold by=1/150x750 buses
=5buses
Answer:
5 buses
Step-by-step explanation:
Given:
Each bus holds 150 peopleTo find:
Buses for 750 peopleSince each bus or a single bus can hold 150 people, we can represent the sentence in math expression as:
[tex]\displaystyle\large{1B = 150P}[/tex]
B stands for Bus and P stands for People. Therefore we have the equation of:
[tex]\displaystyle \large{B=150P}[/tex]
Next is to find how many buses can hold 750 people so we will have to multiply both sides by 5 since 150*5 = 750.
[tex]\displaystyle \large{5B=150*5}\\\displaystyle \large{5B=750}[/tex]
If one bus can hold 150 people then 5 buses can hold 750 people. Hence the solution is 5 buses.
i need an equation with a variable on each side that equals 15
Answers
Answer:
2x + 5 = 3x
Step-by-step explanation:
In this equation, x = 5 and both sides equate to 15. Hope this helped!
can someone help me with this problem? thank you!
Answers
I hope it helps.
Answer:
242
Step-by-step explanation:
10x3=30
30x2=60
60+42+140=242
Which equation represents the distance d traveled in t hours?
Answers
Answer:
d is the right answer hope this helps
Find the area of the parallelogram. Round to the nearest hundredth if necessary.
6 m
8 m
Area =
cm2
Answers
Answer:
48 square cm.
Step-by-step explanation:
The area of a parallelogram is (A = B * H)
Base is 8
Height is 6
8*6 = 48 square cm.
Represent geometrically the following numbers on the number line: √4.5 √8.3. (step by step explanation preferably done in notebook please) I’ll mark the best answer as brainliest
Answers
Answer:
To represent geometrically √x on a number line:
Draw a line segment AB with length x (where point A is -x and point B is zero on the number line).Extend AB by drawing a line segment BC of length 1 unit.Draw a line perpendicular to AC at point B.Let O be the midpoint of AC.Draw a semicircle with center O and radius OA.Let point D be where the semicircle intersects with the perpendicular line. BD = √xDraw an arc with center B and radius BD from point D to the number line.BE = √x ⇒ point E = √x on the number line.Attachment 1
To represent geometrically √4.5 on a number line:
Draw:
Point A = -4.5Point B = 0Point C = 1Draw a line perpendicular to AC at point B.
Let O be the midpoint of AC:
[tex]\implies \sf O=\dfrac{-4.5+1}{2}=-1.75[/tex]
Draw a semicircle with center O and radius OA
[tex]\implies \sf OA=\dfrac{AC}{2}=\dfrac{5.5}{2}=2.75[/tex]
Let point D be where the semicircle intersects with the perpendicular line
[tex]\implies \sf BD=\sqrt{AB}=\sqrt{4.5}[/tex]
Draw an arc with center B and radius BD from point D to the number line.
[tex]\implies \sf BE=\sqrt{4.5}[/tex]
⇒ Point E is [tex]\sf \sqrt{4.5}[/tex] on the number line.
Attachment 2To represent geometrically √8.3 on a number line:
Draw:
Point A = -8.3Point B = 0Point C = 1Draw a line perpendicular to AC at point B.
Let O be the midpoint of AC:
[tex]\implies \sf O=\dfrac{-8.3+1}{2}=-3.65[/tex]
Draw a semicircle with center O and radius OA
[tex]\implies \sf OA=\dfrac{AC}{2}=\dfrac{9.3}{2}=4.65[/tex]
Let point D be where the semicircle intersects with the perpendicular line
[tex]\implies \sf BD=\sqrt{AB}=\sqrt{8.3}[/tex]
Draw an arc with center B and radius BD from point D to the number line.
[tex]\implies \sf BE=\sqrt{8.3}[/tex]
⇒ Point E is [tex]\sf \sqrt{8.3}[/tex] on the number line.
Surface area of a new cereal box with dimensions of
L=8 in
W=1.75in
H=12.125in
Answers
Answer:
264.4375
Step-by-step explanation:
Surface area of a box = 2(lw + lh + wh)
L = 8 , W = 1.75 and H = 12.125
==> plug in values
SA = 2((8)(1.75) + (8)(12.125) + (1.75)(12.125))
==> multiply values that are inside parenthesis together
SA = 2(14 + 97 + 21.21875)
==> add values inside of parenthesis
SA = 2(132.21875)
==> multiply 2 and 132.21875
SA = 264.4375in²
Two metal disks, one with radius r = 2. 50 cm and the other with radius r = 5. 00 cm are welded together and
Answers
The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.
What is moment of inertia?Moment of inertia is the quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation.
Using the formulas to calculate the moment of inertia of a solid cylinder:
I = ½MR²
Where;
I = moment (kgm²)
M = mass of object (Kg)
R = radius of object (m)
Total moment of inertia of the two disks is expressed as: I = I(1) + I(2)
That is;
I = ½M1R1 + ½M2R2
According to the provided information;
R1 = 2.50cm = 0.025m
M1 = 0.800kg
R2 = 5.00cm = 0.05m
M2 = 1.70kg
I = (½ × 0.800 × 0.025²) + (½ × 0.05² × 1.70)
I = (½ × 0.0005) + (½ × 0.00425)
I = (0.00025) + (0.002125)
I = 0.002375
I = 2.375 × 10-³ Kgm²
Hence The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.
To know more about moment of inertia follow
https://brainly.com/question/14460640
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Find the value of x.
148°
Гу
х
x = [? ]°
=
Answers
Graph the equation. y = 4(x + 6)(x + 4)
Answers
There you go I hope its correct
The sum of two numbers is 24. Twice the first number plus the second is 26. Find the numbers.
Answers
Answer:
2 and 22
Step-by-step explanation:
You can put them into equations:
x+y=24 and 2x+y=26
Then, for each equation solve for one of the variables. It doesn't really matter which one but I chose y here.
y=24-x and y=26-2x
Since both equations are equal to y it means that the expression on the right sides of the equal sign are equal to each other:
24-x=26-2x
From here solve for x and you are left with:
x=2
Now that you know one variable go back and plug it into an equation and solve for y. Again, it doesn't matter which one you choose, you will end up with the same answer:
(2)+y=24
So..
y=22
For what values of b is the relation R:{(b^2, 5), (5b, 6)} NOT a function?
Answers
Answer:
b=0,b=5
Step-by-step explanation:
Given: x - 8 > -3. solution set
Answers
Answer: x > 5
Reason:
Add 8 to both sides to undo the -8
We have x-8 > -3 become x > -3+8 which becomes x > 5
We can replace x with anything larger than 5.
To graph this on a number line, plot an open hole at 5. Then shade to the right.
Use the information to answer the question.
A data set is normally distributed. The mean of the data is 9.2, and the standard deviation is 1.8.
Using the 68-95-99.7 rule, what percentage of the data points are greater than 11? Enter the answer in the box.
%
Answers
Using the Empirical Rule, it is found that 16% of the data points are greater than 11.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, the mean is of 9.8 and the standard deviation is of 1.8.
11 is one standard deviation above the mean. Considering the symmetry of the normal distribution, 32%(more than one standard deviation above the mean)/2 = 16% of the data points are greater than 11.
More can be learned about the Empirical Rule at https://brainly.com/question/24537145
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The circumference of the earth is 2.4x109 miles. if you traveled at an average of 8.5x10 miles per hour, how long would it take for you to go around the earth? round your answer to the nearest whole number.
a. 2,820 hours
c. 354 hours
b. 282 hours
d. 3,500 hours
Answers
Answer:
282 hr <======= see below
Step-by-step explanation:
Distance / rate = time
2.4 x 10^9 mi / 85 m/hr = 28235294 hr
You must have left the power of 10 off of your speed
probably should be 8.5 x 10^6 perhaps? then answer is 282
If speed was 8.5 x 10^5 then answer becomes ~ 2820
what will help a person with power of attorney make good decisions?
A. knowing how to set up a trust
B. understanding the healthcare process
C. knowing why they were chosen to have power of attorney
D. understanding how to care for your family
Answers
Answer:
B - understanding the healthcare process
explanation:
I took the quize!
What is the slope of the line that passes through the points (-4,-7) and
(-2,-19)? Write your answer in simplest form.
Answers
ΔY/ΔX = (Y2 - Y1)/(X2 - X1)
reading the graph left to right, (-4,-7) will be our first point; these values correspond to x1 and y1, with x1 = -4 and y1 = -7. (-2 ,-19) will be the second point, with x2 = -2 and y2 = -19.
now, plug the values into the equation!
slope = (-19-(-7))/(-2-(-4))
=(-19+7)/(-2+4)
=(-12/2)
=-6
marking brainliest if correct
four numbers that are evenly divisible by both 4 and 9.
four numbers that are evenly divisible by 2, 3, and 5.
Answers
Answer:
36, 72, 108, 144
30, 60, 90, 120
Step-by-step explanation:
In the figure, ∆ABD ≅ ∆CBD by Angle-Side-Angle (ASA). Which segments are congruent by CPCTC?
Answers
Answer: AB ≅ CB
Step-by-step explanation:
In the given figure, we have ∆ABD ≅ ∆CBD
The CPCTC property of congruent triangles says that if two triangles are congruent then their corresponding parts ( angles and segments ) are congruent.
Since we have given that ∆ABD ≅ ∆CBD.
Therefore, the corresponding segments are congruent.
As segment AB is corresponding to segment CB. [First two letters]
Therefore, segment AB is congruent to segment CB.
