Answer:
They all add up to 1
Step-by-step explanation:
For a given probability model, when we add all possible probabilities, our answer must be equal to 1.
In a probability model, what we are trying to do is to look at all possible outcomes that can arise from using the model. All these outcomes can be seen as a fraction of the total. They each have their own percentage of occurrence.
It is when we are up all these fractions that we can get the maximum which must not be greater than 1. Thus, all probabilities of occurrence in a probability model ranges from 0 to 1, with the addition of all the probabilities equal to 1. 0 being the probability that the intended event has no probability of occurrence at all and 1 meaning it has the maximum possible probability to occur
How would I solve this?
4a-6=-2+14
Solving these equations can prove to be tricky, but once you understand them, ridiculously easy! Remember: your goal is to reduce it to (variable=number). Make sure to use opposite operations to cancel out numbers, and don't forget what you do to one side you must do to the next. There isn't one true order, but you'll know you have a great understanding of what you're doing if you can solve it numerous different times and wind up with the same result!
Set up the equation!
[tex]4a-6=-2+14[/tex]
Let's try subtracting 14 from both sides! We must do the opposite operation to cancel it out.
[tex]14-14=0\\-6-14= -20[/tex]
Now we have
[tex]4a-20=-2[/tex]
We have to start on the left side now, because we can't have an equation with one blank side. The number you start with will end up getting canceled out, as 0. How about we add 20 to both sides?
[tex]-20+20=0\\-2+20=18[/tex]
Now we have
[tex]4a=18[/tex]
Next, we have to apply the opposite opperation to both sides. The only opperation left is multiplication (4a). Therefore, we need to divide by 4, because we have to isolate a.
[tex]4a/4=a\\18/4=4.5[/tex]
Now we have
[tex]a=4.5[/tex]
Your answer is a=4.5!
Remember: Combine like terms first, it's much easier!
Please let me know if this helped or if you have questions, and if you can, I'd be so grateful to receive a rating! Two-sided equations took me a long time, so I want to help you understand!
Select the correct answer for when you evaluate the following function at f(5):
f(x)=−x2+2x−1
A
34
B
4
C
-16
D
14
What is the answer to this
Answer:
im pretty sure it's c
Step-by-step explanation:
Answer:
its C
Step-by-step explanation:
If the product of two whole numbers is zero then one number will be (ii) If the product of two whole numbers is zero then both number will be zero (a) OnlyIcanbetrue(b)onlyiicanbetrue(c)Bothcanbetrue(d)botharefalse
Answer:
If the product of two numbers is zero, there are two possibilities, namely;
1. One of the numbers is zero.
2. Both of the numbers are zero.
Step-by-step explanation:
As a rule in mathematics, when zero is used in multiplying any given whole number, the only result that would be obtained is zero.
Therefore,
1. If one of the numbers is zero, then the product of the two numbers is also zero. For example,
153, 000 * 0 = 0
2. If both of the numbers are zero, then the product of the two numbers is zero. For example,
0 * 0 = 0.
So we can say that both can be true.
ACT scores are normally distributed and from 2015 to 2017, the mean was 20.9 with a standard deviation of 5.6. A perfect score is 36. What percentage of the testers scored a perfect score?
Question 4 options:
0.46%
0.35%
99.65%
99.64%
Using the normal distribution, it is found that 0.35% of the testers scored a perfect score.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 20.9, \sigma = 5.6[/tex]
The proportion of scores above 36(perfect scores) is given by one subtracted by the p-value of Z when X = 36, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{36 - 20.9}{5.6}[/tex]
Z = 2.7
Z = 2.7 has a p-value of 0.9965.
1 - 0.9965 = 0.0035 = 0.35.%.
Hence, 0.35% of the testers scored a perfect score.
More can be learned about the normal distribution at https://brainly.com/question/24663213
#SPJ1
Determine the value of variables a, b, and c that make each equation true.
What is the value of a in this equation?
(x936 = 1
30
a=
What is the value of b in this equation?
(x-7) -4 = x
b =
What is the value of c in this equation?
(x2) c = 222
C =
Corrected Question
Determine the values of a, b and c that make each equation true.
[tex](x^a)^6=\dfrac{1}{x^{30}} \\\\(x^{-7})^{-4}=x^b\\\\(x^{-2})^c=x^{22}[/tex]
Answer:
a=-5, b=28 c=-11Step-by-step explanation:
To solve for a,b and c, we apply the following laws of indices
[tex]\dfrac{1}{p^m}=p^{-m} \\\\(a^m)^n=a^{m X n}\\\\$If p^m=p^n,$ then m=n[/tex]
Therefore :
Part 1
[tex](x^a)^6=\dfrac{1}{x^{30}}\\\\x^{a*6}=x^{-30}\\6a=-30\\$Divide both sides by 6\\a=-5[/tex]
Part 2
To solve for b
[tex](x^{-7})^{-4}=x^b\\x^{-7*-4}=x^b\\x^{28}=x^b\\$Since they have the same base\\b=28[/tex]
Part 3
To solve for c
[tex](x^{-2})^c=x^{22}\\x^{-2*c}=x^{22}\\$Just as in part 2, the two sides of the equality have the same base, therefore:\\-2c=22\\Divide both sides by -2\\c=-11[/tex]
what are the exact solutions of x^2 - x - 4 = 0 ?
Answer:
2.56 and -1.56
Step-by-step explanation:
Using the quadratic formula you can plug in each term (a,b and c) and come to 1 ± sqrt(17)/2. Rounding to the nearest hundredth, this comes out to 2.56 and -1.56. Hope that helps :)
12 inches is a feet :))
i’m with the gàng, I’m with the fleet >:)
Answer:
12 inches is a foot * ;)
Step-by-step explanation:
pls help it will mean alot!!
due rn!!
Answer:
f(x) = 4^x
f(4) = 4^4 = 256
Hope this helps!
:)
the answer is 256 but i am not sure
hope this helps and be safe :)
helpppppppppppppppppppppppppp again 2
Answer:
500
Step-by-step explanation:
The median is the middle point of the box
Answer:
500
Step-by-step explanation:
The median is the point in the middle of the box.
Need help someone help !
Answer:
A = 2x^2 + 2x - 12
Step-by-step explanation:
A = (2x-4)(x+3)
(use FOIL to solve)
A = 2x^2 + 2x - 12
Four workers finish some work in 90 minutes. How much time it will take six workers to finish same work
Answer:
135 minutes.
Step-by-step explanation:
Let's use a ratio:
workers : minutes
4 : 90
1 : 22.5
6 : 135
It will take them 135 minutes (it seems wrong but...)
99g in the ratio 5:2:4
Answer:
45:18:36
Step-by-step explanation:
[tex]99 = 5x +2x+4x\\99=11x\\x=9\\[/tex]
substitute x back into 5x:2x:4x
Therefore, 99 in the ratio of 5:2:4...
45:18:36
Expand the logarithm.
log (y/5)2
Answer: 2 log y - log 25
Step-by-step explanation:
Notes: Division expands to subtraction. Exponent expands to multiplication.
[tex]log\bigg(\dfrac{y}{5}\bigg)^2\\\\\\=log\bigg(\dfrac{y^2}{5^2}\bigg)\\\\\\=log(y^2)-log(5^2)\\\\\\=\large\boxed{2log(y)-log(25)}[/tex]
the quadratic function h(t}= -16.1t2+150
Answer:
Huh. I don't really see the question at hand.
Can anyone solve this questions?
Will mark brainliest.
Answer:
CD player X
Step-by-step explanation:
In this question we are asked to compare 3 CD prices to each other and see which one is the cheapest. We will need to use something called decimal multipliers for this question. We will work out the price of each CD player and then analyse after that. To work out the decimal multipliers for decrease question you have minus 100 and then divide by 1 hundred.
CD player X
→ A price of 1500 and 20% off
⇒ Work out the multiplier with the 100 and then divide by a hundred
→ 100 - 20 = 80 → 80 ÷ 100 = 0.8 So the decimal multiplier is 0.8
⇒ Now multiply the price by the decimal multiplier
→ 1500 × 0.8 = 1200
-------------------------------------------------------------------------------------------------------
CD player Y
→ A price of 2000 and 30% off
⇒ Work out the multiplier with the 100 and then divide by a hundred
→ 100 - 30 = 70 → 70 ÷ 100 = 0.7 So the decimal multiplier is 0.7
⇒ Now multiply the price by the decimal multiplier
→ 2000 × 0.7 = 1400
-------------------------------------------------------------------------------------------------------
CD player Z
→ A price of 1800 and 25% off
⇒ Work out the multiplier with the 100 and then divide by a hundred
→ 100 - 25 = 75 → 75 ÷ 100 = 0.75 So the decimal multiplier is 0.75
⇒ Now multiply the price by the decimal multiplier
→ 1800 × 0.75 = 1350
We can see the CD player X is the one that saves the most money
Answer:
Therefore, the CD player X is worth buying, since it only costs 1,200.
CD player X: 1,200
CD player Y: 1,400
CD player Z: 1,350
Step-by-step explanation:
Formula:
discount amount/original price = discount%/100%
For CD player Z:
discount amount = x
original price/regular price = 1,800
discount% = 25%
For CD player Y:
discount amount = x
original price or regular price = 2,000
discount% = 30%
For CD player X:
discount amount = x
original price or regular price = 1,500
discount% = 20%
______________________________
For CD player Z
x/1,800 = 25/100
x ⋅ 100 = 25 ⋅ 1,800
100x = 45,000
100x/100 = 45,000/100
x = 450
For CD player Y
x/2,000 = 30/100
x ⋅ 100 = 30 ⋅ 2,000
100x/100 = 60,000/100
x = 600
For CD player X
x/1,500 = 20/100
x ⋅ 100 = 20 ⋅ 1,500
100x = 30,000
100x/100 = 30,000/100
x = 300
_________________________
Formula:
Sale price = original price - discount
For CD player Z: 1,800 - 450 = 1,350
For CD player Y: 2,000 - 600 = 1,400
For CD player X: 1,500 - 300 = 1,200
0.5(-14+12.6)
———————
9.32+(-7.92)
Steps to solve:
0.5(-14 + 12.6)
~Add whats in parenthesis
0.5(-1.4)
~Multiply
-0.7
Steps to solve:
9.32 + (-7.92)
~Simplify
9.32 - 7.92
~Subtract
1.4
Best of Luck!
Which reason best describes why you can divide any number by 10 by moving the decimal point one place to the left?
1.Dividing a number by 10 is the same as subtracting the number ten times.
2. Dividing by 10 is the same as removing a zero.
3. Moving the decimal point left makes the number smaller.
4. Moving the decimal point one place to the left makes the number 1/10 of its original value.
4 is the answer
The next best is 3
What is the effect on the graph of the function f(x) = |x| when f(x) is changed to f( 3/4 x)?
Answer:
Whats The Answer Choice?
Step-by-step explanation:
Answer:Stretched Horizontally if you’re on USA test prep.
Step-by-step explanation:
PLEASE HELP ME... ANYONE.... i am begging you. i will mark brainiest, whatever you want. please help...
Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books. Create an equation that can be used to find m, the number of books Rachel sold on Monday.
Equation:
plz make the answer in this format: x - y = z ( a number minus a number equals a number) thank you so much guys!!
Answer:
5m - 6 = 19Step-by-step explanation:
We are given:Monday x 2 = Tuesday
Tuesday - 6 = Wednesday
Lets say
Monday = m
Tuesday = t
Wednesday = w
m = m
2m = t
2m - 6 = w
Combine like terms: 5m - 6 = 19
Add 6 to both sides
5m = 25
Divide both sides by 5
m = 5
Plug it in the equations.
Monday = 5
Tuesday = 10
Wednesday = 4
Answer:
5x - 6 = 19
Step-by-step explanation:
A square piece of paper has an area of x2 square units. A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper. The remaining piece of paper has an area of 120 square units. Which equation can be used to solve for x, the side length of the original square?
Answer: The answer is A. x2 - 2x - 120= 0
Step-by-step explanation:
Answer:
its a
Step-by-step explanation:
took the test
Please help thank you ;)
Answer:
the total angles shoudl add up to 180 but the angles listed adds up to 190 degreees
Step-by-step explanation:
This is not a real triangleno triangeBBBBBBBBI want brainliest!
Ethan has partially filled the prism with 8 unit cubes. How many more cubes does he need to fill the prism completely A:10 B:15 C:19 D:21 Help me please!!!???!
Corrected Question
Ethan has partially filled the prism with 8 unit cubes.
A rectangular prism with length, height, and width of 3.
How many more cubes does he need to fill the prism completely?
Answer:
(C)19
Step-by-step explanation:
First, we determine the volume of the rectangular prism
Volume of a rectangular prism = Length X Height X Width
=3 X 3 X 3=27 cubic units
Volume of the Cube=1 cubic unit
The number of unit cubes that will fill the rectangular prism = 27
Ethan has partially filled the prism with 8 unit cubes, we subtract 8 from 27 to determine the number left to fill the prism
27-8=19.
Therefore, Ethan will need 19 more cubes to fill the rectangular prism.
The correct option is C
Which angle is coterminal to 2pi/3
the correct answer is -4π/3.
What is the formular for the Curved surface Area of a cone
Answer:
To find the curved surface area of any cone, multiply the base radius of the cone by pi. Now multiply your answer by the length of the side of the cone.
A function g(x) has x-intercepts at (5,0) and (6, 0). Which could be g(x)?
g(x) = 2(x + 1)(x + 6)
g(x) = (x + 6) (2x - 1)
g(x) = 2(x-2)(x-6)
g(x) = (x + 6) (x + 2)
Answer:
g(x) = a(x-5) ( x-6)
Step-by-step explanation:
A function g(x) has x-intercepts at (5,0) and (6, 0)
g(x) = a(x-5) ( x-6)
If you mistyped and the x intercepts are at 2 and 6
g(x) = 2(x-2)(x-6)
What is the volume, in cubic m, of a cube with an edge length of 18m?
Answer:
The answer is 5832
Step-by-step explanation:
18 ^3 is 5832
Liam is a tyre fitter.
It takes him 56 minutes to fit 4 tyres to a van.
a) How long would it take him to fit 12 tyres to three vans?
b) If he works for 42 minutes, how many tyres can he fit?
Answer:
a) 168 mins
b) 3 tyres
Step-by-step explanation:
a) 56 mins= 1 van
168 mins= 3 vans
b) 56/4= 14
42/14=3
3 tyres
Answer:
a) 168 minutes
b) 3 tyres
Step-by-step explanation:
a) 56:4
x :12
4x=672
x=672/4
=168
b) 56:4
42:x
168=56x
x=168/56
x=3
What is the value of x in the equation
1/3x - 1/2 = 18 1/2
a. 6
b. 15
c. 54
d. 57
PLEASE HURRY I NEED HELP
A rectangle is sometimes, always, never similar to another rectangle
Two rectangles can be similar, but that's not always guaranteed.
In fact, similar shapes have the same angles and correspondant sides in proportion.
All rectangles will always have four right angles, so we only have to worry about the sides.
Let [tex]a,b[/tex] be the sides of a rectangle, with [tex]a\leq b[/tex]. Let [tex]c,d[/tex] be the sides of a rectangle, with [tex]c\leq d[/tex].
Then, the two rectangles are similar if and only if
[tex]a\div c=b\div d[/tex]
So, for examples, a rectangle with dimensions 3 and 7 is similar to a rectangle with sides 6 and 14 (both sides have been doubled), but it's not similar to a rectangle with sides 6 and 21 (one side has been doubled, the other has been tripled).
