Let represent the number of typographical errors made per page typed by a receptionist during a particular day at the office. The following table lists the probability distribution of .
= 0 1 *** 4 5 ( = ) * ** 0.40 0.13 0.02
Assuming that * = 2 (**) and E(X) = 12.77
(a) Find the values of ‘*’, ‘**’, and ‘***’.
(b) Determine P(1 ≤ < 4).
Using the principle of expected value and discrete probability distribution, the missing values are :
* = 0.30** = 0.15*** = 30P(1 ≤ Y ≤ 4) = 0.28The Expected value, E(X) is defined thus :
E(X) = Σ[(X) × (P(X)]The cummulative sum of the probability is 1 :
(* + ** + 0.40 + 0.13 + 0.02) = 1 - - - (1)* = 2(**)Hence, we have ;
2** + ** + 0.40 + 0.13 + 0.02 = 1
3** + 0.55 = 1
3** = 1 - 0.55
3** = 0.45
** = 0.45 / 3
** = 0.15
Hence,
* = 2(0.15)
* = 0.30
To find *** :
E(X) = (0 × 0.30) + (1 × 0.15) + (*** × 0.40) + (4 × 0.13) + (5 × 0.02)
12.77 = 0 + 0.15 + 0.40*** + 0.52 + 0.10
12.77 = 0.77 + 0.40***
12.77 - 0.77 = 0.40***
12.00 = 0.40***
*** = 12.00/0.40
*** = 30
B.)
P(1 ≤ Y ≤ 4) = P(y = 1) + P(y = 4)
P(1 ≤ Y ≤ 4) = 0.15 + 0.13 = 0.28
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Solve the equation for x:
4x2 + 15x = 4
Show steps please
You are a prisoner sentenced to death. The emperor (who has sentenced you) offers you a chance to live by playing a simple game. He gives you 10 black marbles, 10 white marbles, and 2 empty bowls. He then says, "Divide these 20 marbles into these 2 bowls. You can divide them any way you like as long as you place all the marbles in the bowls. Then I will blindfold you, and ask you to choose a bowl, and remove ONE marble from that bowl you have chosen. You must leave the blindfold on the entire time, and must remove the first marble you touch. If the marble is white you will live, but if the marble is black, you will die."
————
Please help?
Answer:
YeYEYEyYEEeeeeeeeeeeeeeeeeeeeeEE
Step-by-step explanation: kinda sounds like that epesode from squid game episode 7 i think
Find the slope of the line that passes through:
(5, -10) and (5,-4)
Answer:
Undefined
Step-by-step explanation:
you use the slope formula
m = y2 - y1 / x2 - x1
substitute
m = -4 - (-10) / 5 - (-5)
subtract 5 from 5
- 4 - (-10) / 0
The expression contains a division by 0. The expression is undefined.
IF YOU HELP ME WITH THIS YOU ARE AUTOMATICALLY MY FAVORITE PERSON
Determine the intercept of the line
Y-intercept ( , )
X- intercept ( , )
Answer:
Y-intercept: (0, 2.5)
X-intercept: (3.5, 0)
QUICKLY!!!! A paper airplane was thrown from the top of a tall building.The height of the paper airplane above the ground can be found using the function `y=-1.5x+60` , where `x` is the time in seconds the airplane has been in the air.
Jayden made this table to figure out how high the plane was at different times.
0 | 60
10 | 45
20 | 30
30 | 15
40 | 0
How would the equation `y=-1.5x+60` change if the height at 0 seconds was 75?
Answer:
y = -1.5x + 75
Step-by-step explanation:
Well, the rate at which the plane falls doesn't change, so anything attached to the time variable remains constant.
In this case, the first part of the function (-1.5x) remains the same.
Since the height of the tall building was 60 and the value in the equation, we can see that the last value corresponds to the number of meters above ground.
Since the height has changed to 75, the last part of the equation (60) changes to 75, and the rest remains constant.
That gives us the following equation: y = -1.5x + 75
I need help with this math problem
Answer: The drill will reach -915 feet after 18 days.
please help me with this sum I will mark you as brainest
Answer:
2016÷6=336 336×6=2016
3186÷9=354 354×9=3186
give a try for next sums
What is the area of a square if the Perimeter is 36 inches and each side is X -1
Answer:
Area= 100 inches square.
Step-by-step explanation:
4(x-1)=36
4x-4=36
4x=40
x=10
10×10=100
Which value is a solution of the inequality x∕5 + 2 ≤ 6?
[tex] \rm \frac{x}{5} + 2 \leqslant 6[/tex]
[tex] \rm x + 2 \leqslant 6 \times 5[/tex]
[tex] \rm x + 2 \leqslant 30[/tex]
[tex] \rm x \leqslant 30 - 2[/tex]
[tex] \rm x \leqslant 28[/tex]
[tex]\dfrac x5 +2 \leq 6 \\\\\\\implies \dfrac x5 \leq 4 \\\\\\\implies x \leq 20 \\\\\text{Interval,} ~ (-\infty, 20][/tex]
No links please! Which expression has the same value as
Look below
Answer:
-5 1/3 - 3 1/3
Step-by-step explanation
both expressions equal -8 2/3
What number should be subtracted to -2/3 to get -1/6
Pls answer thissss
Answer:
-1/2
Step-by-step explanation:
2/3 becomes 4/6
4/6 to go to 1/6 is -3/6 or -1/2 (simplified)
Jett is 6 feet 2 inches tall. How tall is he in inches ?
Answer:
74in
Step-by-step explanation:
Jett is 74 inches tall, as of the given unit conversion condition.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
1 feet = 12 inches
So,
6 feet 2 inch = 6 feet + 2 inch
= 6 × 12 inch + 2 inch
= 72 + 2
= 74 inches
Thus, Jett is 74 inches tall, as of the given unit conversion condition.
Learn more about simplification here:
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#SPJ2
The cost of 2 bunches of
roses and 5 bunches of
carnations is £45.
The cost of 3 bunches of
roses and 4 bunches of
carnations is £50.
Find the cost of one bunch of each
Answer:
vtdOveractivity of the pituitary gland is called hyperpituitarism. Several disorders related to an overactive pituitary gland can occur.
...
Symptoms may include:
Nervousness.Rapid or irregular heartbeat.Weight loss.Fatigue.Muscular weakness.
Find the volume of a cylinder either enter. An exact answer in terms of pie or 3.14
Answer:
Step-by-step explanation:
V = πR²h
V = π3²6
V = 54π units³
If π = 3.14, V = 169.56 units³
Timmy has a total of 15 dimes and nickles i his pocket. He has 7 more dimes than nickels. How many dimes does he have.
Answer:
1.98 I think sorry if it's wrong
Ms. Duda’s class is hanging 500 red lanterns around the
school for Lunar New Year. Before lunch, the class hangs
100 of the lanterns.
PART A Draw a model to show what percent of 500 lanterns
the class hangs before lunch.
Answer:
Percentage Calculator: 100. is what percent of 500.? = 20.
Step-by-step explanation:
Help ASAP PLEASSEEEEE for 30 points
First picture:
5). 343
Second Picture:
1). 89
2). -26
3). 20
4). 62
Third Picture:
Equation 1: Associative
Equation 2: Commutative
Equation 3: Associative
Equation 4: Distributive
Equation 5: Commutative
Equation 6: Associative
Last Picture:
1). B).
2). C).
Please mark Brainleist
Find the distance between the points (-15,3) and (-9,8).
Distance:-
[tex]\\ \sf\longmapsto \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(-9+15)^2+(8-3)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{(6)^2+(5)^2}[/tex]
[tex]\\ \sf\longmapsto \sqrt{36+25}[/tex]
[tex]\\ \sf\longmapsto \sqrt{61}[/tex]
[tex]\\ \sf\longmapsto 7.32units[/tex]
Given info:- Find the distance between the points (-15,3) and (-9,8).
Explanation:-
Distance formulae:
Distance = √{(x₂ - x₁)² + (y₂ - y₁)²}
Let's figure out the distance between two points A = (-15,3) and B = (-9,8).
From those points,
x₁ = -15
x₂ = -9
y₁ = 3
y₂ = 8
Using them in the formula,
Distance btw AB = √[{(-9 - (-15)}² + (8 - 3)²]
= √[(-9 + 15)² + (8 - 3)²]
= √[(6)² + (5)²]
= √[(6*6) + (5*5)]
= √[36 + 25]
= √[61] Units.
Therefore, the distance between A(-25,3) and B(-9,8) is √(61) units.
whats the answer can someone answer please
Answer:
5. b and 6. c
Step-by-step explanation:
Answer:
5. b
6. c
Step-by-step explanation:
solve the following pair of equations graphically and verify them: 3x+y=7 x≃2y please help me
Answer:
(2, 1)
Step-by-step explanation:
graph 3x+y=7 and x=2y
make both slope intercept form for easier graphing
y=-3x+7
2y=x, y=1/2x
(2, 1)
check
3*2+1=7
6+1=7
7=7
1=1/2*2
1=1
Solve the system. Give answer as
(
x
,
y
,
z
)
2
x
−
2
y
+
4
z
=
0
−
6
x
−
4
y
−
4
z
=
2
−
3
x
−
8
y
+
4
z
=
1
(
x
,
y
,
z
)
=
(
,
,
)
Answer:
howwwwww
Step-by-step explanation:
it's alot going on
The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. hence the total number of burglaries increased by 40% over the two year period.
a. by what percent has the number of burglaries actually changed in the two-year period?
b. by what percent would the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase?
The percentage change in the number of burglaries over the two-year period is 35% .
The change in burglaries over the two-year period to have a 40% increase is 6.7%.
Let's assume that the annual number of burglaries in 2011 is 1000. After the 50% increase in 2012, the number of burglaries would be: 1000(1.50) = 1500.
The number of burglaries after the 10% reduction in 2013 would be: 1500(.90) = 1350
The change in burglaries over the two-year period = (1350 / 100) - 1 = 35%
In order to determine how much burglaries would have to reduce in order to have a 40% change in burglaries, this formula would be used
(x - 1000) / 1000 = 0.40
x - 1000 = 400
x = 1400
The change in burglaries over the two-year period to have a 40% increase = (1400 / 1500) - 1 = 6.7%
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Find the value of x. Show all work.
(9x+9)°
45
5x
Which of the equations will be a true statement if
p
=
10
3
p
=
10
3
? Select the two choices that apply.
A.
3
.
4
÷
p
=
0
.
034
3
.
4
÷
p
=
0
.
034
B.
437
÷
p
=
0
.
437
437
÷
p
=
0
.
437
C.
53
.
45
÷
p
=
53
.
45
53
.
45
÷
p
=
53
.
45
D.
6
,
340
÷
p
=
6
.
34
6
,
340
÷
p
=
6
.
34
E.
2
,
458
.
2
÷
p
=
24
.
582
2
,
458
.
2
÷
p
=
24
.
582
I will mark brainless
Answer:
afd
Step-by-step explanation:
An electrician charges a rate of $60 per hour plus a fee of $35 per job. Which expression represents the electrician's hourly rate?
60 + 35h
The hourly rate is 60, so multiply 60 by the number of hours (h) and add the fee:
Answer: 60h + 35
199 hares of two different colors, gray or white, gathered on a meadow. Every hare found the ratio of the number of hares of the other color to the number of hares of its color (including itself). What is the greatest value for the sum of all of these ratios?
Answer:
grey
Step-by-step explanation:
the greatest sum is 25
9 Use the ALEKS calculator to write as a percentage. 9.64 Round your answer to the nearest tenth of a percent. % ?
Answer:
964%
When rounded, answer will be 960%.
can someone help me solve this?
Answer:
- 9Step-by-step explanation:
Given:
3q + 4 + 9 = - 14Solving in steps:
3q + 13 = - 143q = - 14 - 133q = - 27q = - 27/3q = - 9[tex]\\ \sf\longmapsto 3q+4+9=-14[/tex]
[tex]\\ \sf\longmapsto 3q+13=-14[/tex]
[tex]\\ \sf\longmapsto 3q=-14-13[/tex]
[tex]\\ \sf\longmapsto 3q=-27[/tex]
[tex]\\ \sf\longmapsto q=-9[/tex]
Set A contains all prime numbers squared. Set B contains all multiples of 4. How many numbers are in the intersection of Set A and Set B
Answer:
The intersection operation is denoted by the symbol ∩. The set A ∩ B—read “A intersection B” or “the intersection of A and B”—is defined as the set composed of all elements that belong to both A and B. Thus, the intersection of the two committees in the foregoing example is the set consisting of Blanshard and Hixon.