Solution :
Let the number of the shots that the player while playing misses until the first success = x
The random variable X can take the values {0, 1, 2, 3, 4}
[tex]$P(x=0)$[/tex] = probability of the player that does not misses the 1st shot
The probability of the player that he success at the 1st shot = [tex]$\frac{1}{3}$[/tex]
[tex]$P(x=1)$[/tex] = probability of the player that misses the 1st shot but succeeds in his 2nd shot [tex]$=\frac{2}{3} \times \frac{1}{4}$[/tex]
[tex]$=\frac{1}{6}$[/tex]
[tex]$P(x=2)$[/tex] = probability of the player that misses the 1st two shot but succeeds in the 3rd shot [tex]$=\frac{2}{3} \times \frac{3}{4}\times \frac{1}{5}$[/tex]
[tex]$=\frac{1}{10}$[/tex]
[tex]$P(x=3)$[/tex] = probability of the player that misses the 1st three shot but succeeds in the 4th shot [tex]$=\frac{2}{3} \times \frac{3}{4}\times \frac{4}{5} \times \frac{1}{6}$[/tex]
[tex]$=\frac{1}{15}$[/tex]
Similarly,
[tex]$P(x)$[/tex] = (probability of missing the 1st four shots) x (probability of removing te player after the 1st four shots missed)
[tex]$=\frac{2}{3} \times \frac{3}{4}\times \frac{4}{5} \times \frac{5}{6} \times 1$[/tex]
[tex]$=\frac{1}{3}$[/tex]
a). The p.m.f of the X
X = x 0 1 2 3 4
P(X=x) [tex]$\frac{1}{3}$[/tex] [tex]$\frac{1}{6}$[/tex] [tex]$\frac{1}{10}$[/tex] [tex]$\frac{1}{15}$[/tex] [tex]$\frac{1}{3}$[/tex]
b). [tex]$E(X) = \sum x \times P(X=x)$[/tex]
[tex]$= 0\times \frac{1}{3}+1\times \frac{1}{16}+2\times \frac{1}{10}+3\times \frac{1}{15}+4\times \frac{1}{3}$[/tex]
[tex]$=\frac{114}{60}$[/tex]
= 1.9
Find the ratio created when AB is partitioned by C.
Write your ratio with a, : and do not include spaces.
Answer:
Step-by-step explanation:
From the picture attached,
Segment AB has been divided into four equal parts.
Let each part measures equal length = 1 unit
Point C is 2 units apart from both the points A and B.
Length of AC = Length of BC = 2 units
Therefore, point C will be the mid point of segment AB.
And ratio of AC and BC = 1:1
AC:BC = 1:1
Similarly, AC:AB = 2:4
= 1:2
And BC:AB = 2:4
= 1:2
The factors of p2-2pq+q are
Answer:
Unsure
Step-by-step explanation:
did you forget the q^2
if so,
(p-q)^2
if not,
you can't simplify any further
Answer:
qp 2
Step-by-step explanation:
today the temperature is 0 degrees celsius. The temperature dropped 4 degrees celsius from yesterday's temperature. What was yesterday's temperature? Help me lol
Answer:
4
Step-by-step explanation:
it dropped 4 from yesterday. if it was 4 yesterday than its 0 today so 4 is correct
300
[tex]300 \div 0.5[/tex]
what is the answer
Find the area of the shape
Answer:
14 units²
Step-by-step explanation:
The area of the shape = area of a triangle
Area of triangle = ½ × base × height
base = 7
height = 4
Plug in the value into the formula:
Area = ½ × 7 × 4
Area = ½ × 28
Area = 14 units²
Please help I’m completely stuck
Answer: 8x
Question 2:Answer: 12x - 3y
hope it helps.
WILL MARK BRAINLYEST AND 50 POINTS
Give a detailed explanation as to why you chose the answer you chose
The area (in square inches) of a rectangle is given by the polynomial function A(x) = x^2+ 10x + 24. If the width of the rectangle is (x + 6) inches, what is the length
Answer:21
Step-by-step explanation:
Bryan and Serena had the same amount of money initially. After Bryan donated $258 and Serena donated $234 to charity, Serena had 4 times as much as Bryan. How much had Serena in the end?
Answer:
Serena had $32 at the end.
Step-by-step explanation:
They both had x in the beginning.
Bryan donated $258, so now he has
x - 258
Serena donated $234, so now she has
x - 234
Serena now has 4 times as much money as Bryan.
x - 234 = 4(x - 258)
x - 234 = 4x - 1032
-3x = -798
x = 266
They both had $266.
$266 - $234 = $32
Answer: Serena had $32 at the end.
Vertical angles are congruent.
Find the measure of angle x.
X
38°
X =
[?]
Enter
Answer:
Angle x is 38.
Step-by-step explanation:
If its congruent it means it is equal. Vertical angles are equal to each other.
The measure of x is 38°.
What are corresponding angles?The angles that are in the same position on two parallel lines intersected by a transversal line on the parallel lines.
Corresponding angles are equal.
We have,
Vertical angles are congruent.
x° and 38° are vertical angles.
Now,
x° = 38°
Thus,
The value of x is 38°.
Learn more about corresponding angles here:
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A student would like to know what proportion of the text messages she sends are to her best friend. She selects a random sample of 50 text messages she sent and determines the proportion of those messages that are sent to her best friend. Which of the following statements is true? The population is all of her friends and the sample is the best friend about whom she is performing this study. The population is the best friend about whom she is performing this study and the sample is all of her friends. The population is the 50 text messages she randomly selected and the sample is all text messages she sent. The population is all text messages she sent and the sample is the 50 text messages she randomly selected.
The statement fourth "The population is all text messages she sent and the sample is the 50 text messages she randomly selected" is correct.
What is simple random sampling?Simple random sampling is a sampling strategy in which every item in the population has an equal probability of being chosen for the sample.
We have:
A student would like to know what proportion of the text messages she sends is to her best friend.
The number of sample methods she selects = 50 text messages
As the sample consists of the 50 texts she randomly chose from the population of all the texts she sent.
Thus, the statement fourth "The population is all text messages she sent and the sample is the 50 text messages she randomly selected" is correct.
Learn more about the simple random sampling here:
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If you spend 7.5 hours a week studying for English and 6.5 studying for math what is the ratio of time spent in math to studying for English
Answer:
6.5:7.5, or 1.3:1.5
Step-by-step explanation:
Simply find the number of hours studied for math (6.5) and hours studied for English (7.5) and put it into ratio form (6.5:7.5). Then simplify to get 1.3:1.5. Watch out for the wording.
Answer:
1.3 : 1.5
Step-by-step explanation:
Math : English
6.5 : 7.5 = 1.3 : 1.5
The digits of a two-digit number sum to 8. When the digits are reversed, the resulting number is 18 less than the original number. What is the original number?
26
35
53
62
Answer:
original number = 53
Step-by-step explanation:
In two digits number:
Let the tens place digit be x and units place digit be y.
So,
Original number = 10x + y
Number obtained after reversing the digits = 10y + x
According to the first condition:
x + y = 8.... (1)
According to the second condition:
10y + x = 10x + y - 18
10y + x - 10x - y = - 18
9y - 9x = - 18
-9(x - y) = - 18
x - y = - 18/(-9)
x - y = 2.......(2)
Adding equations (1) & (2), we find
x + y + x - y = 8 + 2
2x = 10
x = 10/2
x = 5
Plug x = 5 in equation (1), we find:
5 + y = 8
y = 8 - 5
y = 3
10x + y = 10*5 +3 = 50 + 3 = 53
Hence, original number = 53
Define the range of the following:
Answer:
{-2, 3, 4, 5}
General Formulas and Concepts:
Math
Number LineAlgebra I
Range is the set of y-values that are outputted by function f(x)Builder Set Notation {x}Step-by-step explanation:
According to our graph, our y-values are 3, 4, 5 and -2. Since they are all closed dots, they are inclusive in the range:
Remember to put it in number line order.
{-2, 3, 4, 5}
What is 8+4-3 please
Answer:
9
Step-by-step explanation:
8+4=12
12-3=9
Answer:
9
Step-by-step explanation:
8+4=12
12-3=9
=9
Given PQ = y, RS = 4y - 15, QR = 2 +6, and PS = 4a - 6, solve for the
length of RS and QR.
Answer:
Check pdf
Step-by-step explanation:
What is the value of C in the equation 12c - 53 = 91?
(-2, -4)
(1, -1)
(2, -2)
(4, -4)
Answer: 12
Step-by-step explanation:
C=12 because u do 91+53 =144 then 144/12=12
C=12
Practice
You bought shoes for $39 that were marked 20%
off. You have to pay
9% tax. What is the total for
the shoes?
Answer: $34
Step-by-step explanation:
39 x 0.2 = 7.80, the discount
39 - 7.80 = 31.20
31.20 x 0.09 = 2.80, the tax
31.20 + 2.80 = 34
Total cost for the shoes: $34
Answer:
24.99 dollars
Step-by-step explanation:
24 is 20 percent of 39
Which of the following are characteristics of the cubic parent function? Select all that apply .
Answer:
A C & D
Step-step explanation:
At Kirby Middle School, some students were surveyed to see which social media app they used the most. The results are shown below. App Number of Students Face 8 Snap 22 Insta 20 Solve and explain how to calculate what percent of students used Snap the most?
Answer:
44% of students
Step-by-step explanation:
because the sum of all the students = 50, we jsut need to multiply by 2 to get 100 (which is the easiest number to get a percentage from. because we multiplied 50 by 2 we must multiply 22 by 2 which gives us 44. 44/100 =44%
Answer:
44%
Step-by-step explanation:
to solve for this you simply add the numbers together in order to get the total then once you find the total you didved the number you're trying to find the percent for by the total
Which of the following list the customary units of measurement for capacity from greatest to least?
A
fluid Ounce, pint, cup, quart, gallon
B
gallon, quart, pint, cup, fluid Ounce
С
gallon, quart, pint, fluid Ounce, cup
D
fluid Ounce, cup, pint, quart, gallon
Answer:
D fluid ounce, cup, pint, quart, gallon
Step-by-step explanation:
Units from greater to smaller:
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces
Answer: D fluid ounce, cup, pint, quart, gallon
fluid Ounce, cup, pint, quart, gallon
D is the answer
вычислите: 1) 1/2×2/3×3/4-2/3×3/4×4/5-3/4×4/5×5/6
Answer:
= -13 / 20
Step-by-step explanation:
Peter is writing about characters in wonder by r j palacio but somehow jack Will got that I had smiled at him
Answer:
.
Step-by-step explanation:
Answer:
Peter is writing about characters in Wonder by R. J. Palacio.But somehow Jack Will got that I had smiled at him. And he smiled back. Homework: A Necessary Evil Some people say homework is the most important teaching tool.
At the beginning of the Occupation, the Nazis basically let the Jews go about their business. This all changes in October 1940. Measures are introduced one after the other. Civil servants must sign an official declaration stating whether they are Jewish or not. Just like in Germany earlier on, Jewish civil servants and teachers are fired from their jobs. At the beginning of 1941, all Jews in the Netherlands must register.
Step-by-step explanation:
Please need help on this not too sure on it.
I have no idea what to do help me solve this please and please provide an explanation.
Question: what is the value of x?
Answer:
x = 48 (in degrees, I assume)
Step-by-step explanation:
Note that the two horizontal lines have those extra arrowheads on them? The red ones? That notation means those lines are parallel to each other.
In geometry, we learn that when two parallel lines are crossed by a third line (called a 'transversal'), alternate interior angles are congruent.
The two angles with labeled quantities are alternate exterior angles. They are 'alternate' because they are on opposite sides of the transversal line, and 'exterior' because they are above and below the the two horizontal lines, not contained in the interior area between them.
Therefore, 2x + 2 = x + 50
-x - 2 = -x - 2
x = 48
I need to find the volume
Answer:
[tex]941 in^{3}[/tex]
Step-by-step explanation:
There are six cups which each hold 340ml. What is the total ml
Answer:
2040ml
Step-by-step explanation:
Answer:
2,040
Step-by-step explanation:
1 cop =340
multiply 340 six times
the answer will be 2,040
You walk 1/4 miles to a shoe store. Then you walk another 2/5 miles to a music store. How many miles ha r you walked in all?
Answer and Step-by-step explanation:
[tex]\frac{13}{20}[/tex], or 0.65 miles.
Convert both to common denominator, then add together.
They have a common denominator of 20.
[tex]\frac{1}{4}[/tex] × [tex]\frac{5}{5} = \frac{5}{20}[/tex]
[tex]\frac{2}{5}[/tex] × [tex]\frac{4}{4} = \frac{8}{20}[/tex]
[tex]\frac{5}{20} + \frac{8}{20} = \frac{13}{20}[/tex]
Answer:
I would walk [tex]\frac{13}{20}[/tex] or 0.65 miles.
Step-by-step explanation:
[tex]\frac{1}{4}[/tex] + [tex]\frac{2}{5}[/tex] = [tex]\frac{5}{20}[/tex] + [tex]\frac{8}{20}[/tex] = [tex]\frac{13}{20}[/tex] or 0.65
ASAP
Can someone help me with 2-10 I understand the first problem but I'm not really sure how to do the others.
Answer:
A e3 x0 +
Step-by-step explanation:
HELP ME PLEASE NOBODY IS ACTUALLY HELPING THIS OS SO HARD AND IM STUCK 7TH GRADE MATH
WNBA Mean:__________
WNBA Mean Absolute Deviation:_________________
NBA Mean:___________________
NBA Mean Absolute Deviation:_______________________
The variability in heights is only different by _____________ inches.
Answer:
1. 72 [tex]\frac{5}{11}[/tex]
3. 79 [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
The mean is found by dividing the sum of the inputs by the total number of inputs.
Answer:
enjoy your day hope the answer comes to you
Step-by-step explanation: