Answers
Answer:
1/6
Step-by-step explanation:
Since the die has 6 sides that are all equally likely to be landed on, the probability of landing on 2 is 1/6, as there is one "favorable" outcome and 6 total outcomes. Hope this helps!
Answer:
1/6
Step-by-step explanation:
Sides of dice = 6
Number 2 in dice = 1
P(2) = 1/6
Related Questions
What is the numerator of the simplified sum?
StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 EndFraction
Answers
Answer:
4x + 6
Step-by-step explanation:
[tex] \frac{x}{x² + 3x + 2} + \frac{3}{x + 1} [/tex]
To determine what the numerator would be, after simplifying both fractions, take the following steps:
Step 1: Factorise the denominator of the first fraction, x² + 3x + 2.
Thus,
x² + 2x + x + 2
(x² + 2x) + (x + 2)
x(x + 2) +1(x + 2)
(x + 1)(x + 2)
We would now have the following as our new fractions to add together and simplify:
[tex] \frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1} [/tex]
Step 2: find the highest common factor of the denominator of both fractions.
Highest common factor of (x + 1)(x + 2) and (x + 1) = (x + 1)(x + 2)
Step 3: To add both fractions, divide the highest common factor gotten in step 2 by each denominator, and then multiply the result by the numerator of each fraction.
Thus,
[tex] \frac{x}{(x + 1)(x + 2)} + \frac{3}{x + 1} [/tex]
[tex] \frac{x + 3(x + 2)}{(x + 1)(x + 2)} [/tex]
[tex] \frac{x + 3x + 6)}{(x + 1)(x + 2)} [/tex]
[tex] \frac{4x + 6)}{(x + 1)(x + 2)} [/tex]
Therefore, the numerator of the simplified form sum of both fractions = 4x + 6
Answer:
C - 4x+6
Explanation:
Edg2020
[PLEASE HURRY WILL GIVE BRAINLIEST] A square prism was sliced not perpendicular to its base and not through any of its vertices. What is the shape of the cross section shown in the figure?
Answers
It appears to be a parallelogram. But without actual numerical data, I don't think it's possible to prove this or not. I could be missing something though.
Simplify -4 • -4 • -4
Answers
Answer: -64
Step-by-step explanation: Since we know that -4 x -4 is a positive, it equals 16, then a positive plus a negative equals a negative, so 16 x -4 equals -64
Answer:
-64
Step-by-step explanation:
-4 • -4 • -4
-4*-4 = 16
16*-4
-64
Estimate the solution to the system of equations.
Answers
Answer:
It's A
Step-by-step explanation:
Trust me i did it in geogebra
pleaseeeeeeeeeeeeee helpppppp meeeeeeeeee
Answers
As its top layer has 8blocks and 7 shaded
And bottom layer has 8 blocks and 5 shaded
Hope it help
Plz rate
Answer:
3 is the answer
Step-by-step explanation:
They are 8 blocks the ones shaded is the denominator and the amount un-shaded are the numerator.
There are 9 numbers written, beginning with: 8, 5, 4, 9, 1, ... Finish the sequence.
Answers
Answer:
14 -50 -29 -541
Step-by-step explanation:
8-3=5-1=4+5=9-8=1+13=14-64=-50+21=-29-512=-541
i got this by looking up sequence pattern finder in google and clicking on the second option then inserting the numbers you gave hope this helps
A team of four boys and five girls is to be chosen from a group of six boys and eight girls. How many different teams are possible?
Answers
Answer:
There are a total of 840 possible different teams
Step-by-step explanation:
Given
Number of boys = 6
Number of girls = 8
Required
How many ways can 4 boys and 5 girls be chosen
The keyword in the question is chosen;
This implies that, we're dealing with combination
And since there's no condition attached to the selection;
The boys can be chosen in [tex]^6C_4[/tex] ways
The girls can be chosen in [tex]^8C_5[/tex] ways
Hence;
[tex]Total\ Selection = ^6C_4 * ^8C_5[/tex]
Using the combination formula;
[tex]^nCr = \frac{n!}{(n-r)!r!}[/tex]
The expression becomes
[tex]Total\ Selection = \frac{6!}{(6-4)!4!} * \frac{8!}{(8-5)!5!}[/tex]
[tex]Total\ Selection = \frac{6!}{2!4!} * \frac{8!}{3!5!}[/tex]
[tex]Total\ Selection = \frac{6 * 5* 4!}{2!4!} * \frac{8 * 7 * 6 * 5!}{3!5!}[/tex]
[tex]Total\ Selection = \frac{6 * 5}{2!} * \frac{8 * 7 * 6}{3!}[/tex]
[tex]Total\ Selection = \frac{6 * 5}{2*1} * \frac{8 * 7 * 6}{3*2*1}[/tex]
[tex]Total\ Selection = \frac{30}{2} * \frac{336}{6}[/tex]
[tex]Total\ Selection =15 * 56[/tex]
[tex]Total\ Selection =840[/tex]
Hence, there are a total of 840 possible different teams
Please help me with this problem thank you✨
Answers
Answer:
x ≈ 8.37819064728
Step-by-step explanation:
Maybe you want to solve for x.
[tex]\dfrac{x-4}{x-3}=\dfrac{2x^2-6}{x^2+2x-3}-\dfrac{x-1}{x+1}=\dfrac{2(x^2-3)}{(x-1)(x+3)}-\dfrac{x-1}{x+1}\\\\\dfrac{x-4}{x-3}=\dfrac{2(x^2-3)(x+1)}{(x-1)(x+3)(x+1)}-\dfrac{(x-1)(x-1)(x+3)}{(x+1)(x-1)(x+3)}\\\\\dfrac{x-4}{x-3}=\dfrac{(2x^3+2x^2-6x-6)-(x^3+x^2-5x+3)}{(x^2-1)(x+3)}\\\\\dfrac{(x^2-1)(x+3)(x-4)}{(x^2-1)(x+3)(x-3)}=\dfrac{(x^3+x^2-x-9)(x-3)}{(x^2-1)(x+3)(x-3)}\\\\\dfrac{x^4-x^3-13x^2+x+12}{(x^2-1)(x^2-9)}=\dfrac{x^4-2x^3-4x^2-6x+27}{(x^2-1)(x^2-9)}\\\\\dfrac{x^3-9x^2+7x-15}{(x^2-1)(x^2-9)}=0[/tex]
A graphing calculator shows the numerator cubic to have one real irrational zero near x ≈ 8.37819064728.
An expression is shown below: 3pf^2 − 21p^2f + 6pf − 42p^2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
Answers
Hey there! I'm happy to help!
PART A
Let's break down each terms in the expression to find the factors that make it up and see the greatest thing they all have in common
To break up the numbers, we keep on dividing it until there are only prime numbers left.
TERM #1
Three is a prime number, so there is no need to split it up.
3pf²= 3·p·f·f
TERM #2
We have a negative coefficient here. First, let's ignore the negative sign and find all of the factors, which are just 7 and 3. One of them has to be negative and one has to be positive for it to be negative. It could be either way, and when comparing to other, we might want one to be negative or positive to match another part of the expression to find the greatest common factor. So, we will use the plus or minus sign ±, knowing that one must be positive and one must be negative.
-21p²2f= ±7·±3 (must be opposite operations) ·p·p·f
TERM #3
6pf= 2·3·p·f
TERM #4
Since 42 is made up of 3 prime factors (2,3,7), one of them or all three must be negative, because two negatives would make it positive. We will use the plus-minus sign again on all three because it could be just one is negative or all three are, but we don't know. We can use these later to find the greatest common factor when matching.
-42p²= ±2·±3·±7·p·p
Now, let's pull out all of our factors and see the greatest thing all four terms have in common
TERM 1: 3·p·f·f
TERM 2: ±7·±3·p·p·f (7 and 3 must end up opposite signs)
TERM 3: 2·3·p·f
TERM 4: ±2·±3·±7·p·p (one or three of the coefficients will be negative)
Let's first look at the numbers they share. All of them have a three. We will rewrite Term 2 as -7·3·p·p·f afterwards because 3 must be positive to match. With term four, the 3 has to positive so not all three can be negative, so that means that either the 2 or 7 has to be negative, but in the end we they will make a -14 so it does not matter which one because.
Now, with variables. All of them have one p, so we will keep this.
Almost all had an f except the fourth, so this cannot be part of the GCF.
So, all the terms have 3p in common. Let's take the 3p out of each term and see what we have left. In term 4 we will combine our ±7 and ±2 to be -14 because one has to be negative.
TERM 1: f·f
TERM 2: -7·p·f
TERM 3: 2·f
TERM 4: -14·p
The way we will write this is we will put 3p outside parentheses and put what is left of all of our terms on the inside of the parentheses.
3p(f·f+-7·p·f+2·f-14·p)
We simplify these new terms.
3p(f²-7pf+2f-14p)
Now we combine like terms.
3p(f²-7pf-14p)
If you used the distributive property to undo the parentheses you could end up with our original expression.
PART B
Completely factoring means the equation is factored enough that you cannot factor anymore. The only things we have left to factor more are the terms inside the parentheses. Although there won't be something common between all of them, one might have pairs with one and not another, and this can still be factored out, and this can be put into (a+b)(a+c). Let's find what we have in common with the three terms in the parentheses.
TERM 1: f·f
TERM 2: -7·p·f
TERM 3: 2· -7·p (I just put 7 as negative and 2 as positive already for matching)
Term 1 and 2 have an f in common.
Terms 2 and 3 have a -7p in common.
So, we see that the f and the -7p are what can be factored out among all of the terms, so let's take it out of all of them and see what is left.
Term 1: f
Term 2: nothing left here
Term 3: 2
So, this means that all we have left is f+2. If we multiply that by f-7p we will have what was in the parentheses in our answer from Part A, and we cannot simplify this any further. This means that our parentheses from Part A= (f-7p)(f+2). This shows that (f-7p) is multiplied by (f+2)
Don't forget the GCF 3p; that's still outside the parentheses!
Therefore, the answer here is 3p(f-7p)(f+2).
Have a wonderful day! :D
Let r(t)=〈t2,1−t,4t〉. Calculate the derivative of r(t)⋅a(t) at t=2
Assuming that a(2)=〈7,−3,7〉 and a′(2)=〈3,2,4〉
ddtr(t)⋅a(t)|t=2=______
Answers
Answer:
101
Step-by-step explanation:
We are given that
r(t)=[tex]<t^2,1-t,4t>[/tex]
We have to find the derivative of r(t).a(t) at t=2
a(2)=<7,-3,7> and a'(2)=<3,2,4>
We know that
[tex]\frac{d(uv)}{dx}=u'v+v'u[/tex]
Using the formula
[tex]\frac{d(r(t)\cdot at(t))}{dt}=r'(t)\cdot a(t)+r(t)\cdot a'(t)[/tex]
[tex]\frac{d(r(t)\cdot at(t))}{dt}=<2t,-1,4>\cdot a(t)+<t^2,1-t,4t>\cdot a'(t)[/tex]
Substitute t=2
[tex]\frac{d(r(t)\cdot at(t))}{dt}_|t=2=<4,-1,4>\cdot a(2)+<4,-1,8>\cdot a'(2)[/tex]
[tex]\frac{d(r(t)\cdot at(t))}{dt}_|t=2=<4,-1,4>\cdot <7,-3,7>+<4,-1,8>\cdot <3,2,4>[/tex]
[tex]\frac{d(r(t)\cdot at(t))}{dt}_|t=2=28+3+28+12-2+32=101[/tex]
The derivation of the equation will be "101".
Differentiation:Given expression is:
r(t) = 〈t², 1 - t, 4t〉
Let,
a(2) = <7, -3, 7>
a'(2) = <3, 2, 4>
As we know,
→ [tex]\frac{d(uv)}{dx}[/tex] = u'v + v'u
By using the formula, the derivation will be:
→ [tex]\frac{d(r(t).at(t))}{dt}[/tex] = r'(t).a(t) + r(t).a'(t)
= <2t, -1, 4>.a(t) + <t², 1 - t, 4t>.a'(t)
By substituting "t = 2", we get
= <4, -1, 4>.a(2) + <4, -1, 8>. a'(2)
= <4, -1, 4>.<7, -3, 7> + <4, -1, 8>.<3, 2, 4>
= 28 + 3 + 28 + 12 - 2 + 32
= 101
Thus the response above is appropriate.
Find out more information about derivatives here:
https://brainly.com/question/22068446
The dollar value v(t) of a certain car model that is tyears old is given by the following
exponential function:
v(t) = 26,956(0.96)^t
What is the initial cost of the car, and what will the car be worth after 6 years? Round to
the nearest whole number.
initial cost =
value after 6 years =
Please helpppp
Answers
Answer: initial cost 26956.00 USD
value after 6 years approx= 21100.00 USD
Step-by-step explanation:
The initial cost is the price of new car , it means t ( time)=0
Substitute t by 0 in our equation and get the initial car's value
v(0)= 26956*0.96^0=26956.00 USD
The value after 6 years: substitute t by 6
v(6)=26956*0.96^6=21100.00 USD
Which graph shows a function and its inverse?
Answers
Answer:
D.
Step-by-step explanation:
The graph of a function and its inverse are symmetric with respect with the line y = x.
On each graph you are given, plot the line y = x. If the two functions are symmetric with respect to the line y = x, then the graph does show a function and its inverse.
You will see this is true only for choice D.
How many methods are there to solve quadratic equations?
Answers
Answer:
The correct snswer is
There are three basic methods for solving quadratic equations:factoring, using the quadratic formula, completing the square.
Step-by-step explanation:
hope this works out!!!
Simplify the following expression:$$(\sqrt{6} + \sqrt{24})^2$$
Answers
Answer:
54
Step-by-step explanation:
[tex](\sqrt{6} + \sqrt{24})^2=(\sqrt{6}+2\sqrt{6})^2\\\\=(3\sqrt{6})^2=(3^2)(6)=\boxed{54}[/tex]
Use the graph to find estimates of the solutions to the equation x2 + x-6=-2
Answers
Answer:
The solutions are the roots of the quadratic. They are found where the graph crosses the x-axis.
Step-by-step explanation:
Which of these triangle pairs can be mapped to each other using have reflections?
Answers
Answer:
Unfortunately on this image we are only able to see a portion of the problem, could you send a better photo, and i will solve imidiatly, thank you!!!!!
Step-by-step explanation:
Read and help plssssss
Answers
Answer:
4 x (4 + 3)
Step-by-step explanation:
This is 4 x (4 + 3) = 4 x 7 = 28
and this is 16 + 12 as well
hope this helps
Someone help me please
Answers
Explain
Given that there are 54 colored stickers across all six faces, then we could assume that the total surface area is 54 square units.
Cube formula
S A = 6s ^2
6s^2 =54
S^2=54/6
Divide by 6
S^2 =9
S = √9
S =3
g True or False: A sample of size 25 provides a sample variance of 400. The standard error in this case, equal to 4, is best described as the estimate of the standard deviation of means calculated from sample of size 25.
Answers
Answer:
True.
Step-by-step explanation:
If we have for a sample of size n=25 a sample variance of 400, the standard error can be written as:
[tex]\sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{\sqrt{400}}{\sqrt{25}}=\dfrac{20}{5}=4[/tex]
This way of calculating the standard error is the same used for estimating the standard deviation of the sample means for samples of size n=25.
The time it takes me to wash the dishes is uniformly distributed between 10 minutes and 15 minutes. What is the probability that washing dishes tonight will take me between 12 and 14 minutes
Answers
Answer:
The probability that washing dishes tonight will take me between 12 and 14 minutes is 0.1333.
Step-by-step explanation:
Let the random variable X represent the time it takes to wash the dishes.
The random variable X is uniformly distributed with parameters a = 10 minutes and b = 15 minutes.
The probability density function of X is as follows:
[tex]f_{X}(x)=\frac{1}{b-a};\ a<X<b,\ a<b[/tex]
Compute the probability that washing dishes will take between 12 and 14 minutes as follows:
[tex]P(12\leq X\leq 14)=\int\limits^{12}_{14} {\frac{1}{15-10} \, dx[/tex]
[tex]=\frac{1}{5}\int\limits^{12}_{14} {1} \, dx \\\\=\frac{1}{5}\times [x]^{14}_{12}\\\\=\frac{1}{15}\times [14-12]\\\\=\frac{2}{15}\\\\=0.1333[/tex]
Thus, the probability that washing dishes tonight will take me between 12 and 14 minutes is 0.1333.
An experiment consists of dealing 7 cards from a standard deck of 52 playing cards. What is the probability of being dealt exactly 4 clubs and 3 spades?
Answers
Answer: 0.00153
Step-by-step explanation:
Given: An experiment consists of dealing 7 cards from a standard deck of 52 playing cards.
Number of ways of dealing 7 cards from 52 cards = [tex]^{52}C_7[/tex]
Since there are 13 clubs and 13 spades.
Number of ways of getting exactly 4 clubs and 3 spades=[tex]^{13}C_4\times\ ^{13}C_3[/tex]
Now, the probability of being dealt exactly 4 clubs and 3 spades
[tex]=\dfrac{^{13}C_4\times\ ^{13}C_3}{^{52}C_7}\\\\\\=\dfrac{{\dfrac{13!}{4!(9!)}\times\dfrac{13!}{3!10!}}}{\dfrac{52!}{7!45!}}\\\\=\dfrac{715\times286}{133784560}\\\\=0.00152850224271\approx0.00153[/tex]
Hence, the probability of being dealt exactly 4 clubs and 3 spades = 0.00153
You are mailing a package that weighs 5 pounds, and sending it first class. The post office charges $0.44 for the first ounce, and charges $0.20 for each additional ounce. How much is the total cost to mail this package?
Answers
Step-by-step explanation:
A group of Construction students must choose their specialist options from the following list: Bricklaying, Damp-proofing, Drainage, Flooring, Joinery, Plastering, Roofing. Each student must choose three options. The available options may be combined with each other in any way, with the exception of the restrictions that Damp-proofing and Drainage together may not be combined with Bricklaying or Plastering because of timetable constraints, and that students choosing Joinery must also choose Flooring.
How many possible combinations including Drainage could the students choose from?
A) 7
B) 8
C) 9
D) 10
E) 11
Answers
Answer:
9
Step-by-step explanation:
Since drainage is to be included in the possible combinations, we can therefore determined the number from the remaining 6 options which can be in combination with drainage
(6 2) = 15 pairs.
Now there are restrictions placed, where we have no pairing of damp roofing with bricklaying or plastering. This removes two pairs, so we are left with 13pairs.
Another restrictions is that students choosing Joinery must also choose Flooring. This gives the three options: joinery, flooring and drained with no pairing with the remaining four pairs this removing another four pair.
So we are left with 9 pairs in total.
Will give brainliest answer
Answers
Answer:
[tex]28 . 26cm[/tex]
Step-by-step explanation:
First find the radius
[tex]d = 2r \\ 9 = 2r \\ \frac{9}{2} = \frac{2r}{2} \\ r = 4.5[/tex]
Now find the CIRCUMFERENCE
[tex]c = 2\pi \: r \\ = 2 \times \pi \times 4.5 \\ = 9 \times \pi \\ = 28.26[/tex]
When Vlad moved to his new home a few years ago, there was a young oak tree in his backyard. He measured it once a year and found that it grew by 26 centimeters each year. 4.5 years after he moved into the house, the tree was 292 centimeters tall. How tall was the tree when Vlad moved into the house? centimeters How many years passed from the time Vlad moved in until the tree was 357 centimeters tall? years
Answers
Answer:
The tree was 175 centimeters tall when Vlad moved into the house.
7 years passed from the time Vlad moved in until the tree was 357 centimeters tall.
Step-by-step explanation:
The height of the tree, in centimeters, in t years after Vlad moved into the house is given by an equation in the following format:
[tex]H(t) = H(0) + at[/tex]
In which H(0) is the height of the tree when Vlad moved into the house and a is the yearly increase.
He measured it once a year and found that it grew by 26 centimeters each year.
This means that [tex]a = 26[/tex]
So
[tex]H(t) = H(0) + 26t[/tex]
4.5 years after he moved into the house, the tree was 292 centimeters tall. How tall was the tree when Vlad moved into the house?
This means that when t = 4.5, H(t) = 292. We use this to find H(0).
[tex]H(t) = H(0) + 26t[/tex]
[tex]292 = H(0) + 26*4.5[/tex]
[tex]H(0) = 292 - 26*4.5[/tex]
[tex]H(0) = 175[/tex]
The tree was 175 centimeters tall when Vlad moved into the house.
How many years passed from the time Vlad moved in until the tree was 357 centimeters tall?
This is t for which H(t) = 357. So
[tex]H(t) = H(0) + 26t[/tex]
[tex]H(t) = 175 + 26t[/tex]
[tex]357 = 175 + 26t[/tex]
[tex]26t = 182[/tex]
[tex]t = \frac{182}{26}[/tex]
[tex]t = 7[/tex]
7 years passed from the time Vlad moved in until the tree was 357 centimeters tall.
Can i have a teeny bit help? This is what i have so far.
Answers
Answer:
I feel like you are mistaken on the first question...
6 plus 27 equals 33.
33 equals 100 percent.
What is 6 over 33? 0,18.
What's 27 over 33? 0,82.
Therefore, 19 plus 12 equals 31.
19 divided by 31 equals 0,61.
12 over 31 equals 0,39.
A store offers packing and mailing services to customers. The cost of shipping a box is a combination of a flat
packing fee of $5 and an amount based on the weight in pounds of the box, 52.25 per pound. Which equation
represents the shipping cost as a function of x, the weight in pounds?
Answers
Answer:
5 + 52.25x
Step-by-step explanation:
flat rate plus cost per pound times number of pounds
5 + 52.25x
At a high school, 9th and 10th graders were asked whether they would prefer
robotics or art as an elective. The results are shown in the relative frequency
table.
To the nearest percent, what percentage of 10th graders surveyed preferred robotics?
Answers
Using the percentage concept, it is found that 51% of 10th graders surveyed preferred robotics, hence option B is correct.
What is a percentage?The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
[tex]P = \frac{a}{b} \times 100\%[/tex]
In this problem, we have that 33% out of 65% of the students are 7th graders who preferred robotics, hence the percentage is given by:
[tex]P = \frac{33}{65} \times 100\% = 51%[/tex]
Which means that option B is correct.
More can be learned about percentages at https://brainly.com/question/14398287
#SPJ1
Answer:
It's A. 61% The dude above me is wrong.
Step-by-step explanation:
I just took the test
BIG Corporation advertises that its light bulbs have a mean lifetime, μ, of 2800 hours. Suppose that we have reason to doubt this claim and decide to do a statistical test of the claim. We choose a random sample of light bulbs manufactured by BIG and find that the mean lifetime for this sample is 2620 hours and that the sample standard deviation of the lifetimes is 650 hours.
In the context of this test, what is a Type II error?
A type II error is (rejecting/failing to reject) the hypothesis that μ is (less than/less than or equal to/greater than/greater than or equal to/not equal to/equal to) ____ when in fact, μ is (less than/less than or equal to/greater than/greater than or equal to/not equal to/equal to) ______.
Answers
Answer:
A type II error is failing to reject the hypothesis that μ is equal to 2800 when in fact, μ is less than 2800.
Step-by-step explanation:
A Type II error happens when a false null hypothesis is failed to be rejected.
The outcome (the sample) probability is still above the level of significance, so it is consider that the result can be due to chance (given that the null hypothesis is true) and there is no enough evidence to claim that the null hypothesis is false.
In this contest, a Type II error would be not rejecting the hypothesis that the mean lifetime of the light bulbs is 2800 hours, when in fact this is false: the mean lifetime is significantly lower than 2800 hours.
What is 6 1/2 - 2 2/3 =
Answers
Answer
3 5/6 or 3.83
Step-by-step explanation: