Answer:
The probability mass function of X is:
[tex]p_{X}(x)={n\choose x}(p)^{x}(1-p)^{n-x};\ x=0,1,2,...n[/tex]
Step-by-step explanation:
A Binomial experiment has the following properties:
• There are a fixed number of trials (n).
• Each trial are independent of the others.
• Each trial has only two outcomes: Success and Failure
• Each trial has the same probability of success (p).
If a random variable X is used in an experiment and the experiment has all the above mentioned properties, then the random variable X is known as a binomial random variable.
Then the probability mass function of X is known as binomial probability distribution.
The probability mass function of X is:
[tex]p_{X}(x)={n\choose x}(p)^{x}(1-p)^{n-x};\ x=0,1,2,...n[/tex]
13. Write an equation of the line that passes through (2/3, 1) and has a slope of -3.
a) Y = -3x + 3
b) Y = -2x - 1
c) Y = x - 1
d) Y = x + 3
Answer:
A
Step-by-step explanation:
A, is the only answer with the correct slope, and when you plug the coordinates in, you get 1=1
-2/9x = 2/5 please hurry
Answer:
Solution
=
− 9/5
Step-by-step explanation:
−
2
9
=
2
5
\frac{-2x}{9}=\frac{2}{5}
9−2x=52
9
⋅
−
2
9
=
9
⋅
2
5
Answer:
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Exact Form:x=−9/5
Decimal Form:x=−1.8
Mixed Number Form:x=−1 4/5
In a newspaper, it was reported that yearly robberies in Springfield were up 50%to 279 in 2012 from 2011. How many robberies were there in Springfield in 2011.
hi there! here's my answer for you...
There were 186 Springfield robberies in 2011.
hope this helped. i have included a step-by-step explanation below in case you need it. have a good one!
.
Think about what happens when you double a number.
You multiply it by 2. Since it's been doubles, we say is has had a 100% increase.
Likewise a 50% increase correlates to multiply by 1.5
Since we are trying to find the previous amount that experienced the increase, we divide by 1.5 to find the original amount because that amount*1.5 gives us 279.
Calling the original r, it is clear that 1.5r=279.
Solving for r, we find the original # of robberies to be 186.
Which equation could help you answer the scenario below?
HEEEEEELP! BRAINLIEST!
I bought 12 pound of turkey and ate 34 of it. How many pounds of turkey did I eat?
A) 12÷34=46
B) 12×34=38
C) 12+34=54
D) None of the above
The answer is B. One way you can tell what operation you are going to use is by the word. This has the word of, so that is one way to tell that an equation is multiplication. Also, this is 3/4 of 1/2, so you would multiply.
Answer:
D) None of the above
Step-by-step explanation:
First you need to multiply 1/2 and 3/4 then subtract that answer to 1/2 and that is your answer so it is D
if the original quantity is 20 and the new quantity is 18, what is the percent decrease?
Answer:
The answer is 10%
Step-by-step explanation:
The percentage decrease for the quantity change from 20 to 18 will be 10%.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the original quantity is 20 and the new quantity is 18. The percentage decrease will be calculated as,
Percentage decrease = ( Original - decreased ) / original
Percentage decrease = ( 20 - 18 ) / 20
Percentage decrease = 2 / 20
Percentage decrease = 0.1
Percentage decrease = 0.1 x 100
Percentage decrease = 10%
Therefore, the percentage decrease for the quantity change from 20 to 18 will be 10%.
To know more about the percentage follow
https://brainly.com/question/11360390
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Helloooo meeee plzzbdnsnsnns
Answer:
hi
Step-by-step explanation:
If a triangle has two unequal angles, the triangle is not equilateral.
true or false?
Answer:
true
Step-by-step explanation:
equilateral means it has 2 equal sides. if the triangle has 2 unequal sides then it can not be a equilateral because there is only 3 sides on a triangle.
hope this helped!
p.s it would be cool if you gave me brainliest.
helppp ill mark u as brain list
Answer:
The answer would be (C)
Answer:
C is the answer
Step-by-step explanation:
C is the answer I think
Firefighters just arrived at the Farquand building with a rescue truck. Mr. Farquand is stuck on a window ledge 44 feet directly above the top of the truck. The base of the ladder is a horizontal distance of 33 feet away from the building. Using the Pythagorean Theorem, determine how long the ladder must extend to reach Mr. Farquand.
Answer:
Step-by-step explanation:
The ladder must extend to a length of 55 feet in order to reach Mr. Farquand on the window ledge.
In this scenario, the height of the building (opposite side) is 44 feet, and the horizontal distance from the base of the ladder to the building (adjacent side) is 33 feet.
Using the Pythagorean theorem, we can calculate the length of the ladder (hypotenuse) as follows:
Ladder length² = Height² + Distance²
Ladder length² = 44² + 33²
Ladder length² = 1936 + 1089
Ladder length² = 3025
Ladder length = √3025
Ladder length = 55 feet
Therefore, the ladder must extend to a length of 55 feet in order to reach Mr. Farquand on the window ledge.
Learn more about Pythagoras's theorem here:
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Cameron started with 20 pieces of gum and gave away x number of pieces. Connor started with 35 pieces of gum and gave away twice as many as Cameron did.
How many pieces of gun did Cameron give away if they had the same number of pieces left?
A) 5
B) 15
C) 18
D) 8
Answer:
they gave away 15 and 30 pieces
Cameron gave away 15
they have 5 left
Step-by-step explanation:
20-x=p
35-x2=p
x=15
p=5
Lisa drives her car 46 km south and then 13 km east. How far is she from her starting
point?
44.1 km
33 km
-1.3 km
59 km
PLEASE HELP!!!!! I will give brainliest!!!!!
The point, (-3, 2) is a solution to the following system.
y > x -2 x ≥ 1
True
OR
False
Answer:
False
Step-by-step explanation:
If you connect it, it won't make sense.
y>x - 2
Now plug it in
2 > -3 -2
2 > -5
That's true, but look at the next one
x >= 1
Plug it in
-3 >= 1
-3 isn't greater OR equal to 1, therefore it's false. I know for a fact, if one system isn't true for the point, then NONE of them are. It asked if the point was a solution to the whole system not just one. Trust me, it's false, whether you already "took the test" or not.
PLEASE HELP ME PLEASE!
Answer:
1 hour = 50/4= $12.5
4 hours = $50
[tex]5\frac{1}{2}[/tex] can be written as 11/2 or 5.5
Let's take x to be the salary for working 5.5 hours.
4 50
5.5 x
Using cross-multiplication, you will get the equation:
4x = 275
x = 68.75
THEREFORE, HE EARNS $68.75 IN [tex]5\frac{1}{2}[/tex] hours.
At the annual high school carnival, Dalton sells popcorn for $4 a bag. His cost for setting up a booth is $20. Today, his goal is to make a profit of $500. How many bags of popcorn must he sell to make a profit of $500?
Hint: 500 = 4x - 20
Answer:
130=x
Step-by-step explanation: Do +20 on both sides the 20 on the left side cancels and 500 + 20= 520. Bring down the 4x. Divide 4 on both sides. 4 divided by 4 cancels. 520/4= 130. So he needs to sell 130. Give me brainliest.
can someone help me find the slope and give me like a formula?
Answer:
the formula is y=2/-1-4 and the slope is 2/-1
Step-by-step explanation:
A customer paid $53.00 for a jacket after a 6 percent sales tax was added. What was the price of the jacket before the sales tax was added?
Show work
Answer:
$50.00
Step-by-step explanation:
Answer:
The correct answer is: 49.82
Step-by-step explanation:
First, you have to turn 6% into a decimal.
6%=0.06 (6/100)
Then, you multiply 6% by $53.00
0.06*53=3.18
Finally, you subtract the sales tax ($3.18) from the total paid ($53.00)
53-3.18=49.82
Hope this helps!
Why is wind the easiest way to power a generator?
Answer:
Wind is completely free, as well as an "infinite" resource. It's also easy to harness its power through large wind farms.
Step-by-step explanation:
Answer:
wind is free and it wont run out
Step-by-step explanation:
Using the graph of the line below, determine what the slope is
1) Slope is 0
2) Slope is 2
3) Slope is 3
4) Slope is 6
Answer:
2) Slope is 2
Step-by-step explanation:
You can see that the line rises 2 units and runs for 1 unit, making the slope 2/1 or in a simpler form, 2.
Evaluate the function.
f(x) = -3.x2 - 6x +1
Find f(8)
Answer:
-50.82
Step-by-step explanation:
((0−3.82)−6×8)+1
(-3.82−6×8)+1
(-3.82−48)+1
-51.82+1
-50.82
can someone step by step tell me how to do this equation I seriously don’t understand trig. Question: solve r to the nearest tenth of a centimetre
Answer:
2.736161147
Step-by-step explanation:
What are the coordinates of the vertex of the graph y = x^2– 8x + 10?
Answer:
(4, -6)
Step-by-step explanation:
What is the range of the graph below?
The value of y varies directly with x. If x=104, then y=78. What is the value of x when y=39?
58
58
52
52
29.25
29.25
69.3
Answer: 52
Step-by-step explanation:
Since the value of y varies directly with x, y = kx where k is a constant.
Since x=104, then y=78, we need to calculate the constant k. This will be:
y = kx
78 = 104k
k = 78/104
k = 0.75
What is the value of x when y=39?
Since y = =kx
39 = 0.75x
x = 39/0.75
x = 52
How do you convert and equation from slope-intercept form to standard form ?
Answer:
To convert from slope intercept form y = mx + b to standard form Ax + By + C = 0, let m = A/B, collect all terms on the left side of the equation and multiply by the denominator B to get rid of the fraction.
explanation:
pls make me brainliest
A square has an area of 1369 square inches. What is the length of its side
Answer:
37 inches
Step-by-step explanation:
1369 = l^2
The square root of 1369 is 37.
At the rate of 3 items for 16 cents, how many items can you buy for 80 cents?
Group of answer choices
Answer:
Step-by-step explanation:
3 items = 16 cents
6 items = 32 cents
9 items = 48 cents
12 items = 64
15 items = 80 cents
you can buy exactly 15 items with 80 cents
2x+3y=12
Complete the missing value in the solution to the equation.
( 8)
Answer:
x=-6 if y=8
Step-by-step explanation:
First, plug in 8 for y then solve:
2x+3(8)=12
2x+24=12
Next, subtract 24 from each side:
2x+24=12
2x-24=-24
2x=-12
x=-6
what is 255 divided by 425
Answer: 0.6
Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT. THANKYOU.
Answer:
0.6
Step-by-step explanation:
225 divided by 425 = 0.6
what is the distance between (5,6) and (-9,6)
Answer:
14
Step-by-step explanation:
Answer:
There is 14 spaces between the different points.
Step-by-step explanation:
PLS HELP
Which number sentence is not true?
A. |-4.5| = 4.5
B. |0| 0
D. |4.5| > |-45|
D
Step-by-step explanation: 4.5 sum is 4.5 and 45 summed is 45 so 45 would be more hope that helps