Answer:
As there are six seats in a row and the first person in the row is a woman and the people alternate woman, men, the possibility is
W
M
W
M
W
M
in that order.
Now as we four women, three seats for women can be filled in
X
4
P
3
=
24
ways
and similarly as we four men, three seats for men can be filled in
X
4
P
3
=
24
ways
Hence, total
24
×
24
=
576
permutations.
Step-by-step explanation:
The segments are tangents to the circle. Find the perimeter of JLNQ.
The perimeter of the polygon is
Answer:
36 Units.
Step-by-step explanation:
In the diagram attached, K, M, P and R are points of tangency.
Theorem: Tangents to a circle from the same point are equal.
By the theorem above,
LK=LM=6 Units
NM=NP=2 Units
QP=QR=7 Units
JR=JK=3 Units
Therefore:
JL=JK+KL=3+6=9 Units
LN=LM+LN=6+2=8 Units
NQ=NP+PQ=2+7=9 Units
QJ=QR+RJ=7+3=10 Units
Therefore, the perimeter of the polygon JLNQ =9+8+9+10
=36 Units.
Note: The second diagram shows the theorem already applied.
(1 point) Let P(t) be the performance level of someone learning a skill as a function of the training time t. The derivative dPdt represents the rate at which performance improves. If M is the maximum level of performance of which the learner is capable, then a model for learning is given by the differential equation dPdt=k(M−P(t)) where k is a positive constant. a) First solve this differential equation for P(t) using C as your final (simplified) constant parameter introduced by integrating.
Answer:
[tex]P(t)=M+Ce^{-kt}[/tex]
Step-by-step explanation:
Given the differential model
[tex]\dfrac{dP}{dt}=k[M-P(t)][/tex]
We are required to solve the equation for P(t).
[tex]\dfrac{dP}{dt}=kM-kP(t)\\$Add kP(t) to both sides\\\dfrac{dP}{dt}+kP(t)=kM\\$Taking the integrating factor\\e^{\int k dt} =e^{kt}\\$Multiply all through by the integrating factor\\\dfrac{dP}{dt}e^{kt}+kP(t)e^{kt}=kMe^{kt}\\\dfrac{dP}{dt}e^{kt}=kMe^{kt}\\(Pe^{kt})'=kMe^{kt} dt\\$Take the integral of both sides with respect to t\\\int (Pe^{kt})'=\int kMe^{kt} dt\\Pe^{kt}=kM \int e^{kt} dt\\Pe^{kt}=\dfrac{kM}{k} e^{kt} + C_0, C_0$ a constant of integration[/tex]
[tex]Pe^{kt}=Me^{kt} + C\\$Divide both side by e^{kt}\\P(t)=M+Ce^{-kt}\\P(t)=M+Ce^{-kt}\\$Therefore:\\P(t)=M+Ce^{-kt}[/tex]
What’s the correct answer for this question?
Answer:
0.37
Step-by-step explanation:
As shown in table,
The probability of the fruit is orange is P(A) = 0.3
The probability of the fruit is organic is P(B)
The probability of the fruit is orange and organic is P(A⋂B) = 0.11
=> The probability that a randomly selected orange is organic is calculated by applying the conditional probability formula:
P(B|A) =P(A⋂B)/P(A) = 0.11/0.3 = 0.37
=> Option D is correct
Hope this helps!
How to do arithmetic sequence with fractions I’m so confused
Answer:
Step-by-step explanation:
first you have to see itis an arithmetic or geometric sequence.
then find common difference(for A.P) or common ratio (for G.P)
c.d .=an-an-1
c.r. =an/an-1
1.G.P.
2. A.P
3.G.P
3,5,25/3,125/9,...
c.r.=5/3
or (25/3)/5=25/(3*5)=5/3
or 125/9÷25/3=125/9×3/25=(125×3)/(9×25)=5/3
) Tara earns twice as much per hour as Kayte.
Kayte earns $3 more per hour than Austin. As
a group, they earn $41 per hour. What is
Austin's hourly wage?
Answer:
Austin's hourly wage is $8.
Step-by-step explanation:
This question can be solved using a system of equations.
I am going to say that:
Tara's hourly wage is x.
Kayte's hourly wage is y.
Austin's hourly wage is z.
Tara earns twice as much per hour as Kayte.
This means that [tex]x = 2y[/tex]
Kayte earns $3 more per hour than Austin.
This means that [tex]y = z + 3[/tex]
As a group, they earn $41 per hour.
This means that [tex]x + y + z = 41[/tex]
What is Austin's hourly wage?
This is z.
[tex]x + y + z = 41[/tex]
[tex]y = z + 3[/tex] and [tex]x = 2y[/tex], so [tex]x = 2(z + 3) = 2z + 6[/tex]
[tex]x + y + z = 41[/tex]
[tex]2z + 6 + z + 3 + z = 41[/tex]
[tex]4z + 9 = 41[/tex]
[tex]4z = 32[/tex]
[tex]z = \frac{32}{4}[/tex]
[tex]z = 8[/tex]
Austin's hourly wage is $8.
Answer:
Austin's hourly wage is $8.
Step-by-step explanation:
We can write this problem as a system of linear equations.
We define T: Tara's hourly wage, A: Austin's hourly wage and K: Kayte's hourly wage.
Then, if Tara earns twice as much per hour as Kayte, we have:
[tex]T=2K[/tex]
If Kayte earns $3 more per hour than Austin, we have:
[tex]K=A+3[/tex]
And if they earn $41 per hour as a group, we know:
[tex]T+K+A=41[/tex]
We can use all equations to replace in the third one, as:
[tex]T+K+A=41\\\\(2K)+K+A=41\\\\3K+A=41\\\\3(A+3)+A=41\\\\3A+9+A=41\\\\4A=41-9=32\\\\A=32/4=8[/tex]
Austin's hourly wage is $8.
OMG THIS QUESTION IS SO HARD WILL RATE IF YOU GET IT
Step-by-step explanation:
idk what is the order of those mesretments. but its 2*s of every 2 opposite rectangles (2*s1+2s2+2s3) that s1 is height*length s2 is length*width and s3 is height*width
How much will a person pay for 11.6 pounds of bananas at a price of 1.51 per pound?
Answer:
17.52
Step-by-step explanation:
literally 11.6 x 1.51 and then round to hundredth place
In which table(s) does y vary directly with x? Check all that apply.
2
y
y
X
х
3
y
2
-4
-2
-2
-1
lo
1
3
9
-2
-1
-1
1
0
-1
6
18
2
1
2
-2
1
-2
7
21
6
3
5
-5
2
-3
W
Answer:
see below
Step-by-step explanation:
A relation is "direct variation" if it can be written in the form ...
y = kx
for some constant k. That value can be found from any line* in a table that has direct variation:
k = y/x
_____
* A table with direct variation may have the entry (x, y) = (0, 0). That table entry cannot be used to find the value of k. If either x or y is zero, the other must be also if the variation is direct.
Answer:
first 3
Step-by-step explanation:
tell me if u need an explanation
HELP PLEASE WILL MARK AS BRAINLIST
Answer:
If x + 5x = 90, 6x = 90 so x = 15, 5x = 75.
Answer: x= 15, 5x=75
Step-by-step explanation:
x=15
x+5x=90
Add similar elements
6x=90
6x/6=90/6
x=15
5x=75
x=15
5x=15x5
15x5=75
James grows corn on 1/4 of his land. If he has 65 acres of land, how much of the
land is used for growing corn?
acres
Answer:
16.25 acres
Step-by-step explanation:
If corn is 1/4 of the land and we have 65 acres, we merely multiply 1/4 to 65.
You get 16.25 acres.
Answer:
16.25acres
Step-by-step explanation:
65/4=16.25 or 16 and 1/4
Any help would be greatly appreciated
Step-by-step explanation:
4y + 6 = 16
you can find y (meters)
then replace y value in every side of this shape
then plus all line you will receive the perimeter
Two dice are rolled. E is the event that the sum is even, F is the event of rolling at least one six, and G is the event that the sum is eight. List the outcomes for the following events:
a. E ∩ F {(2, 2), (4, 4), (6, 6)} {(6, 2), (6, 4), (6, 6), (2, 6), (4, 6)} {(2, 6), (4, 6), (6, 6)} ∅
b. Ec ∩ G {(6, 2), (6, 4), (6, 6), (2, 6), (4, 6)} {(2, 6), (4, 6), (6, 6)} {(2, 2), (4, 4), (6, 6)} ∅
Answer:
(a)[tex]E \cap F ={(2, 6),(4, 6),(6, 2),(6, 4),(6, 6)}[/tex]
(b) [tex]E^c \cap G =\{ \}[/tex]
Step-by-step explanation:
The sample space of two dice rolled is given below:
[tex]\{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)\\(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)\\(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)\\(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)\\(5, 1), (5, 2), (5, 3), (5, 4), (5, 5),(5,6)\\(6, 1), (6, 2), (6, 3), (6, 4), (6,5), (6,6)\}[/tex]
For Event E (The sum is even), the outcomes are:
[tex](1, 1), (1, 3), (1, 5),(2, 2), (2, 4), (2, 6)\\(3, 1), (3, 3), (3, 5), (4, 2), (4, 4), (4, 6)\\(5, 1),(5, 3), (5, 5), (6, 2), (6, 4), (6,6)[/tex]
For Event F (Rolling at least one six), the outcomes are:
[tex](1, 6), (2, 6), (3, 6), (4, 6),(5,6),(6, 1), (6, 2), (6, 3), (6, 4), (6,5), (6,6)[/tex]
For Event G (The sum is eight), the outcomes are:
[tex](2, 6), (3, 5),(4, 4), (5, 3),(6, 2)[/tex]
(a)[tex]E \cap F[/tex]
Therefore:
[tex]E \cap F ={(2, 6),(4, 6),(6, 2),(6, 4),(6, 6)}[/tex]
(b)[tex]E^c \cap G[/tex]
E is the event that the sum is even
Therefore: [tex]E^c$ is the event that the sum is odd.[/tex]
Since G is the event that the sum is eight( which is even), the intersection of the complement of E and G will be empty.
Therefore:
[tex]E^c \cap G =\{ \}[/tex]
WIll give brainliest !! PLEASE PLEASE !!
Answer:
a) y=4x-3
Step-by-step explanation:
Find the slope by comparing the values within one column. If you subtract 1 from -3, you'll get the value of 4. You then notice that each time, the value increases by 4. Since the y= column is increasing by one, the value therefore remains constant because 4 divided by 1 is always 4.
Now, to find the coefficient, just look at where the y value is 0. Whatever number x is when the value is 0, that will be your coefficient because it is the y-intercept (the initial starting value); in this case -3
Answer:
A
Step-by-step explanation:
First, calculate the slope by doing rise over run.
We can do this between the first 2 points:
[tex]\frac{4}{1}[/tex] = 4
The slope is positive 4, and the y-intercept is (0, -3)
The equation is A, y = 4x - 3
Emma and Max want to buy a house together.
Emma earns £18,500 and Max earns £22,500. They have £6000 savings.
They want to buy a house that is being sold for £130,000.
They will pay the deposit with their savings and take out a mortgage to pay for the rest.
Emma and Max can borrow 3 times their combined incomes as a mortgage.
They will need to pay 5% of the selling price of the value as a deposit.
How much can they borrow as a mortgage?
Answer:
£123,000
Step-by-step explanation:
Their combined income is ...
£18,500 +22,500 = £41,000
They can borrow 3 times this amount, or ...
3 × £41,000 = £123,000
__
Comment on this transaction
The required deposit is 5% of 130,000 = 6,500, which is more than their savings. After this down payment is made, the remaining value is £123,500, which exceeds their borrowing power. It appears that Emma and Max need to find a house with a lower price.
and simplify this too
Answer:
-5x^4
Step-by-step explanation:
Cube root of -125 is -5
Cube root of n^12 is n^4
Answer:
3 x (-125n^12)^1/2
Step-by-step explanation:
The owner of Limp Pines Resort wanted to know the average age of its clients. A random sample of 25 tourists is taken. It shows a mean age of 46 years with a standard deviation of 5 years. The width of a 95 percent CI for the true mean client age is approximately: _________
Given Information:
Sample size = n = 25
Mean age of client = 46 years
Standard deviation of age of client = 5 years
Confidence level = 95%
Required Information:
Width of the confidence interval = ?
Answer:
[tex]$ \text {width of CI } = \pm 2.064 $\\\\[/tex]
Step-by-step explanation:
The width for the true mean client age is given by
[tex]$ \text {width of CI } =\pm t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $[/tex]
Where n is the sample size, s is the standard deviation of age of client, and [tex]t_{\alpha/2}[/tex] is the t-score corresponding to 95% confidence level.
The t-score corresponding to 95% confidence level is
Significance level = 1 - 0.95 = 0.05/2 = 0.025
Degree of freedom = n - 1 = 25 - 1 = 24
From the t-table at α = 0.025 and DF = 24
t-score = 2.064
[tex]$ \text {width of CI } = \pm (2.064)(\frac{5}{\sqrt{25} } ) $\\\\[/tex]
[tex]$ \text {width of CI } =\pm (2.064)(\frac{5}{5 } ) $\\\\[/tex]
[tex]$ \text {width of CI } = \pm (2.064)(1) $\\\\[/tex]
[tex]$ \text {width of CI } = \pm 2.064 $\\\\[/tex]
Therefore, width of the 95% confidence Interval for the true mean client age is approximately ±2.064.
Bonus:
The corresponding 95% confidence interval is given by
[tex]$ \text {Confidence Interval } = \bar{x} \pm t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $[/tex]
Where x_bar is the mean client age
[tex]$ \text {Confidence Interval } = 46 \pm 2.064 $[/tex]
[tex]$ \text {Confidence Interval } = (43.936, 48.064) $[/tex]
[tex]$ \text {Confidence Interval } = (44, 48) $[/tex]
Which means that we are 95% sure that the true mean client age is within the range of (44, 48) years.
In choosing what music to play at a charity fund raising event, Cory needs to have an equal number of piano sonatas from J. S. Bach, Haydn, and Wagner. If he is setting up a schedule of the 9 piano sonatas to be played, and he has 5 J. S. Bach, 52 Haydn, and 5 Wagner piano sonatas from which to choose, how many different schedules are possible
Answer:
2,210,000 different schedules
Step-by-step explanation:
Cory needs to have an equal number of piano sonatas from J. S. Bach, Haydn, and Wagner.
Since he is setting up a schedule of 9 piano sonatas to be played, he needs:
3 out of 5 J. S. Bach piano sonatas3 out of 52 Haydn piano sonatas3 out of 5 Wagner piano sonatasWe then calculate how many different schedules are possible using combination.
Number of possible Schedules
[tex]=$ ^5C_3$ \times ^{52}C_3$ \times ^5C_3\\=10 \times 22100 \times 10\\$=2210000 ways[/tex]
There are 2,210,000 different possible schedules.
Jo and Dee are fairies. Jo is 888 centimeters tall. Dee is 777 centimeters taller than Jo.
How tall is Dee?
Answer:
15 cm
Step-by-step explanation:
7 cm taller than 8 cm is 15 cm tall.
Dee is 15 cm tall.
Answer:
Dee's height is
[tex]1665cm[/tex]
Step-by-step explanation:
[tex]jo = 888cm \\ dee = 777cm \: \: \: taller \: \: \: than \: \: jo \\ [/tex]
So
[tex]dee = 888 + 777 \\ = 1665cm[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
what are the cubic units? Pleaseee
Answer: pls mark me brainiest
Step-by-step explanation:
I am very sure that the answer is V≈351.86
Answer:
112π
Step-by-step explanation:
Cubic units are units when talking in the 3rd dimension
The volume of a cylinder is πr² x h
find the area of the base first.
since we can write it in terms of π, don't worry about decimals.
The radius is 4.
plug it in, the base's area is 16π. Multiply that by the height, 7.
16(7)π
112π is the volume
Question one answer: S²=3V/H
What is the opposite operation of squaring? Using this opposite operation, rewrite the equation from question 1 so s is by itself on one side of the equation.
Step by step answer
Answer:
[tex]\ S=\sqrt{\dfrac{3V}{H}}}[/tex]
Step-by-step explanation:
The opposite operation of squaring is taking the square root.
[tex]\ S=\sqrt{\dfrac{3V}{H}}}[/tex]
We know that the denominator of a fractional power is the index of the corresponding root:
[tex]\displaystyle x^\frac{1}{n}=\sqrt[n]{x}[/tex]
For n=2, we don't usually write the index in the root symbol:
[tex]x^{\frac{1}{2}}=\sqrt{x}[/tex]
In the case of this problem, ...
[tex](S^2)^{\frac{1}{2}}=\left(\dfrac{3V}{H}\right)^{\frac{1}{2}}\\\\S=\sqrt{\dfrac{3V}{H}}[/tex]
Some people say Mauna Kea is a taller mountain than Mt. Everest, because its total under sea and above sea level height is
a0 meters.
Answer:
Mauna Kea has from the base that is to say the deepest 10 km of height that is to say 10,000 m which is equivalent to being higher than Mount Everest.jj
Step-by-step explanation:
The main reason why we could say that Mauna Kea is the highest mountain, even surpassing Mount Everest, is because of its altitude if we compare them we see the difference; for example Mauna Kea from its base that is to say from the deepest the ocean measures 10,000 m of altitude, on the other hand the Mount Everest has an altitude of 8848 meters (29,029 ft) above sea level, that is to say from its base it measures 8848 m altitude.
What’s the correct answer for this?
Answer:
x = 19
Step-by-step explanation:
In the attached file
Find the roots of the polynomial function f(x)=x^3+2x^2+x
Answer:
0 and -1
Step-by-step explanation:
Hello,
[tex]x^3+2x^2+x = x(x^2+2x+1)=x(x+1)^2[/tex]
so the roots are
0 and -1 (to get x+1=0 )
do not hesitate if you need further explanation
hope this helps
Answer:
It's actually X = 0, X = - 1, with multiplicity 2, Option D, on Edge2020
Step-by-step explanation:
I just did it on edge :)
What is f(-2)?
-3
-1
1
3
Answer:
option b
Step-by-step explanation:
b i did it on edge
a/50 = 3/5 Solve for “a” by cross multiplying then divide.
Answer:
a = 30
Step-by-step explanation:
a/ 50 = 3/5
Using cross products
a*5 = 50 *3
5a = 150
Divide each side by 5
5a/5 = 150/5
a = 30
Answer:
[tex]a =30[/tex]
Step-by-step explanation:
[tex] \frac{a}{50} = \frac{3}{5} [/tex]
[tex]use \: \: \: cross \: \: multiple[/tex]
[tex]5a = 50 \times 3 \\ 5a = 150 \\ \frac{5a}{5} = \frac{150}{5} \\ a = 30[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Champagne is best when the bubbles are concentrated in the wine. A group of scientists compared gentle and splashing pouring methods for champagne by measuring the amount of bubbles in each glass of champagne poured two different ways at three different temperatures. The following data present the pattern of results obtained in the study.
Chane of temperature
40 46 52
Gentle pour n=10 n=10 n=10
M=7 M=3 M=2
SS=64 SS=57 SS=47
Splashing pour n=10 n=10 n=10
M=5 M=1 M=0
SS=56 SS=54 SS=46
Required:
a. Use a two-factor ANOVA with α= 0.05 to evaluate the mean differences.
b. Briefly explain how temperature and pouring influence the bubbles in champagne according to this pattern of results.
Answer:
??????
Step-by-step explanation:
PLEEEASE HELPPPPPPP!! substitution
Answer:
X=80
Y=9
Z=7
Step-by-step explanation:
Simplify the given expression. Cite a property from Theorem 6.2.2 for each step. (A − (A ∩ B)) ∩ (B − (A ∩ B)) Let A and B be any sets. Then (A − (A ∩ B)) ∩ (B − (A ∩ B)) = = (A ∩ (A ∩ B)c) ∩ (B ∩ (A ∩ B)c) = A ∩ ((A ∩ B)c ∩ (B ∩ (A ∩ B)c)) = A ∩ (((A ∩ B)c ∩ B) ∩ (A ∩ B)c) = A ∩ ((B ∩ (A ∩ B)c) ∩ (A ∩ B)c) = A ∩ (B ∩ ((A ∩ B)c ∩ (A ∩ B)c)) = A ∩ (B ∩ (A ∩ B)c) = (A ∩ B) ∩ (A ∩ B)c = ∅
Answer:
Step-by-step explanation:
Consider the sets A and B
(A − (A ∩ B)) ∩ (B − (A ∩ B))
= (A ∩ (A ∩ B)c) ∩ (B ∩ (A ∩ B)c) by the set difference law
= (A ∩ (Ac ∩ B)c) ∩ (B ∩ (Ac ∩ B)c) by De Morgan's law
= {(A ∩ Ac) ∪ (A ∩ Bc)} ∩ {(B ∩ Ac) ∪ (B ∩ Bc)} by the distributive law
= {∅ ∪ (A ∩ Bc)} ∩ {(B ∩ Ac) ∪ ∅} by complementation
= {A ∩ Bc} ∩ {B ∩ Ac} by identity law
= (A ∩ Ac) ∩ (B ∩ Ac) by the associative law
= ∅ ∩ ∅ by complementation
= ∅ by the universal bound law
Therefore, (A − (A ∩ B)) ∩ (B − (A ∩ B)) = ∅
Answer:
Considere los conjuntos A y B
(A − (A ∩ B)) ∩ (B − (A ∩ B))
= (A ∩ (A ∩ B)c) ∩ (B ∩ (A ∩ B)c) por la ley de diferencia establecida
= (A ∩ (Ac ∩ B)c) ∩ (B ∩ (Ac ∩ B)c) por la ley de De Morgan
= {(A ∩ Ac) ∪ (A ∩ Bc)} ∩ {(B ∩ Ac) ∪ (B ∩ Bc)} por la ley distributiva
= {∅ ∪ (A ∩ Bc)} ∩ {(B ∩ Ac) ∪ ∅} complementando
= {A ∩ Bc} ∩ {B ∩ Ac} por ley de identidad
= (A ∩ Ac) ∩ (B ∩ Ac) por la ley asociativa
= ∅ ∩ ∅ complementando
= ∅ por la ley universal consolidada
Step-by-step explanation:
The average amount of a beverage in randomly selected 16-ounce beverage can is 16.18 ounces with a standard deviation of 0.4 ounces. If a random sample of sixty-five 16-ounce beverage cans are selected, what is the probability that the mean of this sample is less than 16.1 ounces of beverage? Answer: (round to 4 decimal places)
Answer:
The probability that the mean of this sample is less than 16.1 ounces of beverage is 0.0537.
Step-by-step explanation:
We are given that the average amount of a beverage in randomly selected 16-ounce beverage can is 16.18 ounces with a standard deviation of 0.4 ounces.
A random sample of sixty-five 16-ounce beverage cans are selected
Let [tex]\bar X[/tex] = sample mean amount of a beverage
The z-score probability distribution for the sample mean is given by;
Z = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = population mean amount of a beverage = 16.18 ounces
[tex]\sigma[/tex] = standard deviation = 0.4 ounces
n = sample of 16-ounce beverage cans = 65
Now, the probability that the mean of this sample is less than 16.1 ounces of beverage is given by = P([tex]\bar X[/tex] < 16.1 ounces)
P([tex]\bar X[/tex] < 16.1 ounces) = P( [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] < [tex]\frac{16.1-16.18}{\frac{0.4}{\sqrt{65} } }[/tex] ) = P(Z < -1.61) = 1 - P(Z [tex]\leq[/tex] 1.61)
= 1 - 0.9463 = 0.0537
The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9591.
A boxplot of weights (in grams) for 578 chicks is given. The right hand axis marks the five number summary. Use this plot to decide if the following statement is true or false. A chick weighing 300 grams is an outlier. [Note: use the Upper Fence criterion].a) trueb) false
Answer:
the anwser is in the text
Step-by-step explanation:
