Answer:
0.0334 = 3.34% probability that the player will make exactly 3 3-pointers and 5-free throws.
Step-by-step explanation:
For each 3-pointer shot, there are only two possible outcomes. Either the player makes it, or the player does not. The same is valid for free throws. This means that both the number of 3-pointers and free throws made are given by binomial distributions.
Since 3-pointers and free throws are independent, first we find the probability of making exactly 3 3-pointers out of 10, then the probability of making exactly 5 free throws out of 10, and then the probability that the player will make exactly 3 3-pointers and 5-free throws is the multiplication of these probabilities.
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.
Probability of making 3 3-pointers out of 10:
The chances of a basketball player hitting a 3-pointer shot is 0.4, which means that [tex]p = 0.4[/tex]. So this is [tex]P(X = 3)[/tex] when [tex]n = 10[/tex].
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{10,3}.(0.4)^{3}.(0.6)^{7} = 0.21499[/tex]
Probability of making 5 free throws out of 10:
The probability of hitting a free-throw is 0.65, which means that [tex]p = 0.65[/tex]. The probability is [tex]P(X = 5)[/tex] when [tex]n = 10[/tex].
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{10,5}.(0.65)^{5}.(0.35)^{5} = 0.15357[/tex]
Calculate the probability that the player will make exactly 3 3-pointers and 5-free throws.
0.21499*0.15537 = 0.0334
0.0334 = 3.34% probability that the player will make exactly 3 3-pointers and 5-free throws.
Shannon is creating a scale drawing of her classroom. If she is using the scale 1/2 inch = 1 foot and the room model is 10 inches by 15 inches, what are the dimensions of the actual room. Please help me!
Answer:
30 foot by 20 foot
Step-by-step explanation:
1 inch = 10 inch
2 foot = d foot
Cross products: 1xd=2x10
d=20foot
1 inch = 15 inch
2 foot = d foot
Cross products: 1xd=2x15
d=30foot
The sum of the two numbers is 40 and the difference is 6. What are the numbers?
ALEKS QUESTION
Answer:
17 + 23 = 40
23 - 17 = 6 the other person did it right.
My teacher wants me to answer questions 1-10 with work shown. It can be any kind of work as long as it shows how you got the answers.
Answer:
use the app photomath its free. and shows you all the steps
Step-by-step explanation:
What is the solution for the equation?
Negative five-halves = three-fourths + n
n = Negative StartFraction 13 over 4 EndFraction
n = negative start Fraction 7 over 4 EndFraction
n = StartFraction 7 over 4 EndFraction
n = StartFraction 13 over 4 EndFraction
Answer:
n=-13/4 because you subtract 3/4 from -5/2
Step-by-step explanation:
Answer:
its a
Step-by-step explanation:
did it on my test edge
I need help plzz I need help plzz
Johnny wants to invest $10,000 at 4.5% interest rate compounded quarterly, How much will he have after 38 years?
Answer:
a= $54764.26
Step-by-step explanation:
r=R/100
r=4.5/100
r=0.045 rate per year
A = P(1 + r/n)nt
A = 10,000.00(1 + 0.045/4)(4)(38)
A = 10,000.00(1 + 0.01125)(152)
A = $54,764.26
the solution of the equation x2-6x=0 is ?
Refrigerators are able to transfer energy out of a substance. AT first the
substance is a gas but then it changes so first the molecules
A-vibrate in place but then the move apart from each other
B-are far apart but when energy leaves the particles move more closely around each
other
C-are moving close together very quickly and then very far apart suddenly
Answer:
C- are moving close together very quickly and then very far apart suddenly
Mr Baxter deposits 2,000 in an account that earns %5 simple interest how much is mr Baxter investment after 8 years?
Answer:
$2,800
Step-by-step explanation:
The formula for simple interest is I = PRT, where I is the interest (earned or paid), P is the principal amount invested/borrowed, R is the rate in decimal form, and T is the time in years.
I = (2000)(0.05)(8)
I = $800
Then we add that to the principal to get $2,800
---------------------------------
Joey made a deposit into an account that earns 6% simple interest. After 3 years, Joey earned $400. How much was Joey's initial deposit?
I = PRT
400 = P(0.06)(3)
400 = 0.18P
P = $2,222. 22
----------------------------------------
Peter is calculating the interest earned on a deposit of $275 in an account that earns 8% simple interest after 12 years. What is the ??? guessing interest earned?
I = PRT
I = (275)(0.08)(12)
I = $264
------------------------------------
Neil's grandmother has left him a small inheritance of $6,000. Neil would like to invest it at a rate of 5% interest. What is the simple???
I = PRT
I = (6000)(0.05)(T)
Please let me know if you have questions, or want to fill in the missing information on questions 3 & 4.
I Need Help!!! PLEASE HELP!!!!!!!!
Answer:
Maybe B?
Step-by-step explanation:
What is the square root of 36542
Answer:
191.159619167
Step-by-step explanation:
Find two positive numbers whose difference is 15 and whose product is 154.
NO LINKS
HELP ASAP PLEASE NO LINKS
Question 1(Multiple Choice Worth 3 points)
(07.04)
The solution to 6x = 48 is x =
05
06
07
08
(Look at pictures)
Geometry
(Plz answer fast ill give all points and brainly)
Answer:
D
Step-by-step explanation:
Clockwise would mean a rotation to the right, and since the triangle is already plotted, just use the little picture turning icon( in the top right corner of the photo of the problem) to turn, and look at the triangle in the original graph to see how it moved.
Then click the button three more time until you get the photo right-side-up, and choose which option is the best answer.
At midnight, the temperature was 43.7°F. In the morning, the temperature was −3.6°F. Which statement describes the temperature?
Answer: At midnight, the temperature was 43.7 degrees above 0, and in the morning, it was 3.6 degrees below 0
HOPE THIS HELPS
A potato chip company produces a large number of potato chip bags each day and wants to investigate whether a new packaging machine will lower the proportion of bags that are damaged. The company selected a random sample of 150 bags from the old machine and found that 15 percent of the bags were damaged, then selected a random sample of 200 bags from the new machine and found that 8 percent were damaged. Let p^O represent the sample proportion of bags packaged on the old machine that are damaged, pˆN represent the sample proportion of bags packaged on the new machine that are damaged, pˆC represent the combined proportion of damaged bags from both machines, and nO and nN represent the respective sample sizes for the old machine and new machine.
Required:
Have the conditions for statistical inference for testing a difference in population proportions been met?
Answer:
The conditions for the approximation have been met
Step-by-step explanation:
Random samples on both cases and
p∧o proportion of bags packaged on the old machine that are damaged
p∧n sample proportion of bags packaged on the new machine that are damaged
p∧c = ( p∧o + p∧n ) / (nO + nN )
p∧o = 15 % p∧o = 0,15 nO = 150
p∧o * nO = 0,15 *150 p∧o * nO = 22,5
p∧n = 8 % p∧n = 0,08 nN = 200
p∧n*nN = 0,08 * 200 p∧n*nN = 16
Both p∧n*nN and p∧o * nO are bigger than 5
Therefore both samples are big enough for the approximation of the binomial distribution to normal distribution
Help will be super appreciated !
Use the figure below and 2-3 sentences to explain the following:
The side opposite angle E is side ____?
The side adjacent to angle E is side ____?
The hypotenuse is side ____?
Answer/Step-by-step explanation:
The triangle given is a right triangle
Reference angle = angle E
Thus:
The side that is opposite to angle E is side DF = e
The side that is adjacent to angle E is side EF = d
The hypotenuse side is the longest side that is opposite go the right angle of the triangle = DE = f
Find the value of x in the triangle shown below 8 2
In the triangle in question, x has a value of √68. The triangle is right - angled triangle based on the dimensions provided. According to this, the neighboring angle will also be x°.
What is an angle?An angle is a shape made up of two rays that share a terminus and is designated by the name of the angle (the vertex).
The plane that contains the rays contains the angles created by two beams. The meeting of two planes might also result in an angle. These are referred to as dihedral angles.
An angle is created when two straight lines or rays intersect at the same point. The point where all points converge is known as an angle's vertex.
The Roman word angulus, which means "corner," is where the term "angle" comes from. In plane geometry, an angle is a shape made up of two rays or lines with the same termination.
In the triangle in question, x has a value of √68.
The triangle is right- angled triangle based on the dimensions provided. According to this, the neighboring angle will also be √68.
Therefore, a given triangle's angles will all be expressed mathematically as -
Using Pythagoras theorem,
[tex]x^{2} = 8^2 + 2^2\\x^{2} = 64 + 4\\x^{2} = 68\\x = \sqrt{68}[/tex]
As a result, the given triangle's x value is √68.
To learn more about the angle, refer to:
brainly.com/question/25716982
#SPJ1
Please help ill give you BRAINLIEST. No links please
Answer:
m(arc FE) = 166°
Step-by-step explanation:
By theorem of intersecting chords and tangent of a circle,
Measure of the angle formed by a chord and tangent intersecting on the circle measure the half of the intercepted arc.
m(∠GFE) = [tex]\frac{1}{2}\text{m (arc} FE)[/tex]
83° = [tex]\frac{1}{2}\text{m (arc} FE)[/tex]
m(arc FE) = 166°
A polygon has a perimeter of 36 inches. Each side is exactly 6 inches long. Which of the following figures does this describe?
A. Rectangle
B. Square
C. Regular Octagon
D. Regular hexagon
• plot the two points
• draw the hypotenuse
• complete the triangle
• use the Pythagorean theorem to find the distance between the
given points
• show all your work
• leave answers in simplest radical form.
1. (3, 4), (-2, 6)
У
61
.
2
10
8 9 10
9514 1404 393
Answer:
√29
Step-by-step explanation:
We can call the given points A(3, 4) and B(-2, 6).
The right triangle with segment AB as a hypotenuse can best be drawn along grid lines. Then the vertical leg is the difference of y-coordinates: 6-4 = 2, and the horizontal leg is the difference of x-coordinates: 3 -(-2) = 5.
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs.
AB² = 2² + 5²
AB² = 4 + 25 = 29
Taking the square root, we find the length of the line segment between the points to be ...
AB = √29
Solve the equation for the value of x
-15x=45
Show your work please, thank you.
Answer:
x=-3
Step-by-step explanation:
-15x=45
x=-45/15
x=-3
Answer:
okay x=-3
Step-by-step explanation:
-15x=45
-15/-15=45/15
x=-3
Help #2-8 please thank you !
Help me with this please
when I did this it was C for me
Which of the following scatterplots would have a trend line with a negative slope?
Answer:
Step-by-step explanation:
If we let the points in the first graph define the position and slope of a line through the points, this line would have a negative slope and a negative trend line. As x increases, y decreases.
Answer: it’s A. I took the test.
Step-by-step explanation:
the Beatles are better than the stones and that is a fact
please please i need help i did not understand it
Answer:
h = 20 ftStep-by-step explanation:
Given,
Volume = 5600 sq.ft
Length = 35 ft
Width = 8 ft
Therefore,
By the problem,
[tex]height = \frac{volume}{length \times width} [/tex]
[tex] = > h = \frac{5600}{35 \times 8} ft[/tex]
=> h = 20 ft (Ans)
Which expression is equivalent to 63 + 27?
A. (9 x 7)(
93)
B. 9(7 + 3)
C. (9 + 7)(9 + 3)
D. 9 + (7 * 3)
Simplify: 4 - 16
20
12
-20
-12
Q) 4 - 16 = ?
→ 4 - 16
→ [ -12 ]
The answer is -12.
Quick help what is 4 2/9 divided by 1/3
Answer:
[tex]12\frac{2}{3}[/tex]
Step-by-step explanation: