Answer:
7/24
Step-by-step explanation:
you times the numerators together and times the denominators together then you simplify
A yacht sailed from wharf A in a south-east direction for 10km and north-east for 24km. Find how far the yacht is from wharf A.
(A)26km
(B)21km
(C) 45km
(D) 40km
Answer:
D
Step-by-step explanation:
The answer is 40km.
24 plus 10 equals to 34 and a few extra km would lead to 40km
The perimeter of a rectangle window is 362 cm. If the length of the window is 97 cm, what is its width?
Answer:
w=84cm
Step-by-step explanation:
97
cm
P Perimeter
362
cm
Using the formula
P=2(l+w)
Solving forw
w=P
2﹣l=362
2﹣97=84cm
Sorry explanation is short, hope i helped u
HELP PLS! Suppose the year of car accidents per day in Wilmington NC has been recorded for the past year. The table below is a probability distribution table representing the data collected.
1) what is the probability that on a randomly selected day there were no accidents?
2) find the probability there will be at least 2 accidents
3) on any given day how many accidents should the Wilmington police expect to have.
=====================================================
Explanation:
Problem 1
Add up the given probabilities in the bottom row:
0.12+0.32+0.25+0.13 = 0.82
For any probability distribution, all of the probabilities must add to 1. This represents 100%. If x is the probability of getting 0 accidents, then x+0.82 = 1 solves to x = 0.18
Having 0.18 in that blank spot will add to the other probabilities to get a total sum of 1.
--------------------------
Problem 2
Add up every probability that corresponds to "2 accidents" or more.
0.32+0.25+0.13 = 0.70
There's a 70% chance of having 2 or more accidents.
--------------------------
Problem 3
Add in a third row that multiplies the first two rows. If x = number of accidents, and P(x) = probability, then we'll have an x*P(x) row. Check out the table in the attached image.
After determining that third row, add up those products.
0 + 0.12 + 0.64 + 0.75 + 0.52 = 2.03
For any given day, we expect there should about 2.03 accidents on average.
This lines up with the table showing that P(x) is largest when x = 2; ie 0.32 is the largest probability in the table corresponding to having 2 accidents.
For more information, check out "expected value".
A group of 60 people are going on a trip to an amusement park that has dollar coasters and water rides. The number of people who like roller coasters is 42, the number who do not like water rides is 23 and the number who do not like either kind of ride is 8. Determine which Venn diagram accurately represents the people going on the trip.
The no. of people whole likes only roller coasters is 19.
What are sets and subsets?A set is a collection of well-defined objects.
A subset contains all the elements or a few elements of the given set.
The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.
Let N(U) be the no. who likes at least one of the rides which is
N(U) = (60 - 8) = 52 as 8 people do not like either kind of ride.
Given, The number of people who like roller coasters is 42 and the number who do not like water rides is 23.
∴ The no. of people who only likes roller coasters is (42 - 23) = 19.
learn more about sets and Venn diagrams here :
https://brainly.com/question/28318748
#SPJ1
What is the slim of the fractions? Use the number line to help find the answer.
3/5 + (-7/5)?
what is 20(y)+2(x) if y=2 and x=9
btw this is me
Answer: 20(y)+2(x) = 20(2) + 2(9) = 40 + 18 = 58
Answer:
58
Step-by-step explanation:
If y=20 and X=9, then the equation=20 × 2 + 2 ×9= 40 + 18=58.
gary had 58 marbles in his marble collection. at a marble collector convention, he purchased 29 more marbles. How many marbles does he have total in his collection
Answer: 87 marbles
Step-by-step explanation:
58+29=87
16. 8x5 – 16x4 + 8x3
Answer:
it is 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
Once you simplify the equation, you get 40-64+24. When you use 40+24, you get 64 which cancles out the other 64
Answer the following questions about group G with order 77. (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively. (2) Show that HK={hk|h=H, kEK) is an Abelian subgroup of group G. (3) Show that HK-G. (4) Show that G is a cyclic group.
To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.
Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.
Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.
(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.
Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.
Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.
(3) Show that HK=G.
To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.
Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.
Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.
(4) Show that G is a cyclic group.
Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.
Therefore, G is not a cyclic group.
Learn more about cyclic group here -: brainly.com/question/30697028
#SPJ11
To answer the questions about group G with order 77: (1) Show that there are normal subgroups H and K of the group with order 7 and 11, respectively.
Since the order of G is 77, by the Sylow theorems, there exist Sylow 7-subgroups and Sylow 11-subgroups in G.
Let H be a Sylow 7-subgroup of G and K be a Sylow 11-subgroup of G. Since Sylow subgroups are conjugate to each other, H and K are both normal subgroups of G.
(2) Show that HK={hk|h∈H, k∈K} is an Abelian subgroup of group G.
Since H and K are normal subgroups of G, we have that HK is a subgroup of G. To show that HK is an Abelian subgroup, we need to prove that for any elements hk and h'k' in HK, their product is commutative.
Let hk and h'k' be arbitrary elements in HK. Since H and K are normal subgroups, we have that h'khk' = kh'h. Thus, the product hk h'k' is equal to kh'h, which implies that HK is an Abelian subgroup.
(3) Show that HK=G.
To show that HK=G, we need to prove that every element g in G can be expressed as a product hk, where h∈H and k∈K.
Since H and K are normal subgroups of G, their intersection H∩K is also a normal subgroup of G. By Lagrange's theorem, the order of H∩K divides both the order of H (which is 7) and the order of K (which is 11). Since 7 and 11 are coprime, the only possible order for the intersection is 1.
Thus, H∩K={e}, where e is the identity element of G. This implies that every element g in G can be uniquely expressed as g = hk, where h∈H and k∈K. Therefore, HK=G.
(4) Show that G is a cyclic group.
Since HK=G, and HK is an Abelian subgroup, we have that G is an Abelian group. Every Abelian group of prime order is cyclic. Since the order of G is 77, which is not prime, G cannot be cyclic.
Therefore, G is not a cyclic group.
Learn more about cyclic group here -: brainly.com/question/30697028
#SPJ11
(solve for x ) −28−1/5n=3/5n
Answer:
\( - 28 - \frac{1}{5} n = \frac{3}{5} n \\ - 28 = \frac{1}{5} n + \frac{3}{5} n \\ - 28 = \frac{4}{5} n \\ n = \frac{( - 28) \times 5}{4} \\ n = ( - 7) \times 5 \\ \boxed{ n = - 35}\)
n=-35 is the right answer.Write down the value of 3²
Answer:9
Step-by-step explanation:
it is the same as 3x3
Complete the following sentences: 7. In 49 is the base and is the exponent. 8.72 is the exponential form of 7*___ Rewrite each of the following using exponents. Determine the numerical value. 9. second power of 10 10. fourth power of 5
Answer:
the 4 is the base and the 5 is the exponent
7^2 is the exponential form of 7*7
10^2
5^4
1. Brenda invited 32 people to her graduation party. If each person will drink about 3 cups of punch, how many gallons of punch does Brenda's mom need to buy?
Answer: 96
Step-by-step explanation: Its pretty simple all you have to do is 32*3 because there is 32 people and they all drink 3 cups fruit punch. SO the answer is 96.
The gallons of punch Brenda's mom needs to buy is 6 gallons.
How many gallons of punch should be bought?The first step is to convert cups to gallons: 1 cup = 1/16 gallon
The second step is to determine the total number of cups needed for the party: 32 x 3 = 96 cups
Now convert the cups to gallons: 96 x 1/16 = 6 gallons
To learn how to convert units, please check: https://brainly.com/question/25993533
What is the slope of the line that passes through the points (0.-7) and (-4, 3)?
Step-by-step explanation:
not sureeee if it is the right answer
Hello there! :)
To find the slope when we are given 2 points, we use this formula:
m=\(\frac{y2-y1}{x2-x1}\)
m=\(\frac{3-(-7)}{-4-0} \\\frac{3+7}{-4-0} \\\frac{10}{4}\)
Reduce our fraction:
5/2
So 5/2 is the slope. Hope it helps!
~Just a cheerful gal
#CarryOnLearning
Answered by
\(-SilentNature-\)
Find the output, y, when the input, x, is 5
Y=5x-3
Y=______
Answer:
Step-by-step explanation:
First you get X. X has been given as 5 already so it is answered. Now finding Y.
Y=(5*5)-3
It is times 5 because x is 5.
Y=25-3
Y=22
in exploration 3.4.1 you worked with function patterns again and created a particular equation for . what was your answer to
The number of mCi that remained after 22 hours is 0.00000238418
To answer question #5, we need to calculate the number of mCi that remained after 22 hours. Since we don't have the exact equation you used in Exploration 3.4.1, it would be helpful if you could provide the equation you derived for M(t) during that exploration. Once we have the equation, we can substitute t = 22 into it and solve for the remaining amount of mCi.
Let's assume the equation for M(t) is of the form M(t) = a * bˣ, where 'a' and 'b' are constants. In this case, we would substitute t = 22 into the equation and evaluate the expression to find the remaining amount of mCi after 22 hours.
For example, if the equation is M(t) = 10 * 0.5^t, then we substitute t = 22 into the equation:
M(22) = 10 * 0.5²² = 0.00000238418
Evaluating this expression, we get the answer for the remaining amount of mCi after 22 hours.
To know more about equation here
https://brainly.com/question/21835898
#SPJ4
Complete Question:
In Exploration 3.4.1 you worked with function patterns again and created a particular equation for M (t). What was your answer to #5 when you calculated the number of mCi that remained after 22 hours? (Round to the nearest thousandth)
verify that the following equation is an identity. (sinx cosx)^2=sin2x 1
The equation \((sin(x)cos(x))^2 = sin(2x)\) is verified to be an identity.
Simplify LHS and RHS?
To verify whether the equation \((sin(x)cos(x))^2 = sin(2x)\) is an identity, we can simplify both sides of the equation and see if they are equivalent.
Starting with the left side of the equation:
\((sin(x)cos(x))^2 = (sin(x))^2(cos(x))^2\)
Now, we can use the trigonometric identity \(sin(2x) = 2sin(x)cos(x)\) to rewrite the right side of the equation:
\(sin(2x) = 2sin(x)cos(x)\)
Substituting this into the equation, we have:
\((sin(x))^2(cos(x))^2 = (2sin(x)cos(x))\)
Next, we can simplify the left side of the equation:
\((sin(x))^2(cos(x))^2 = (sin(x))^2(cos(x))^2\)
Since both sides of the equation are identical, we can conclude that the given equation is indeed an identity:
\((sin(x)cos(x))^2 = sin(2x)\)
Hence, the equation \((sin(x)cos(x))^2 = sin(2x)\) is verified to be an identity.
To know more about identity, refer here:
https://brainly.com/question/1412354
#SPJ4
Is the vertex angle of an isosceles triangle congruent to the base angles?.
The vertex angle of an isosceles triangle is not equal to the base angles of the isosceles triangle.
Given, an isosceles triangle
and we are asked that is vertex angle congruent to the base angles,
Let suppose ABC is an isosceles triangle with AB = AC
as we know that the angles opposite to the equal sides are also equal.
so, ∠ABC = ∠ACB
now, if ∠ABC = ∠ACB = x
then, on using angle sum property, we get
∠ABC + ∠ACB + ∠BAC = 180°
x + x + ∠BAC = 180°
∠BAC = 180° - 2x
as, x ≠ 180° - 2x
therefore, ∠BAC ≠ ∠ABC
So, the vertex angle of an isosceles triangle is not equal to the base angles of the isosceles triangle.
Hence, the vertex angle of an isosceles triangle is not equal to the base angles of the isosceles triangle.
Learn more about Angle Sum Property here https://brainly.com/question/22262639
#SPJ4
Jamie covers books for extra money. He makes a quarter for every dozen he covers. How many books will he have to cover to make $10.00?
Answer:
480 books
Step-by-step explanation:
There are 4 quarters in a dollar, so you know that 1 dollar is 4 quarters. You have 10 dollars, so you need to multiply the number of quarts in a dollar by the number of dollars you have:
4 × 10 = 40
You know that he gets a quarter for every dozen books and a dozen is 12. So you need to multiply the number of quarters by the number of books:
40 × 12 = 480
Jamie needs to cover 480 books to earn $10.
Construct a mathematical model for a radioactive series of three elements A, B, and C where C is the stable element and assume the decay constants are λ1=−0.138629 for A days, and λ2=−24.0001 hours for B.
The mathematical model for the radioactive series of elements A, B, and C can be represented using a system of differential equations. Element A decays to element B with a decay constant of λ1, and element B decays to stable element C with a decay constant of λ2.
Let's denote the amount of element A, B, and C at time t as A(t), B(t), and C(t) respectively. The radioactive decay of element A can be described by the equation dA/dt = -λ1A(t), where -λ1 represents the decay constant for element A. Similarly, the decay of element B can be represented by dB/dt = -λ2B(t), where -λ2 represents the decay constant for element B.
Since element C is stable and does not decay further, its amount remains constant, and we can express it as dC/dt = 0.
Thus, the mathematical model for the radioactive series of elements A, B, and C is given by the system of differential equations:
dA/dt = -λ1A(t)
dB/dt = -λ2B(t)
dC/dt = 0
These equations describe the rates of change of the amounts of elements A, B, and C over time, considering their respective decay constants.
Learn more about differential equations here: brainly.com/question/25731911
#SPJ11
A small company gathered sales data over the last 7 months as follows: Month Sales January 270 February 264 March 216 April 288 May 249 June 222 July 219 August Do not round answers. a) What is the 3-month moving average forecast for July? b) What is the 2-month weighted moving average forecast for July using weights 4 and 17 Assign higher weight to the most recent period. c) Given that the exponentially smoothed forecast for February is 270, what is the simple exponential smoothing forecast for March with a 0.52
Sales data was collected over the past 7 months. The monthly sales figures are as follows: January - 270, February - 264, March - 216, April - 288, May - 249, June - 222, and July - 219 forecast for March is approximately 242.
a) To calculate the 3-month moving average forecast for July, we take the average of the sales figures from May, June, and July. Adding up the sales for these three months, we get 249 + 222 + 219 = 690. Dividing this sum by 3, we find that the 3-month moving average forecast for July is 230.
b) For the 2-month weighted moving average forecast for July, we assign weights of 4 to June and 17 to July, with the higher weight given to the most recent period. Multiplying the sales figures for June and July by their respective weights and summing them, we get (222 * 4) + (219 * 17) = 888 + 3723 = 4611. Dividing this sum by the total weight (4 + 17 = 21), we find that the 2-month weighted moving average forecast for July is 219.
c) Given that the exponentially smoothed forecast for February is 270, we can use the formula for simple exponential smoothing to calculate the forecast for March. The formula is: Forecast for March = Previous forecast + α * (Actual sales for February - Previous forecast). Plugging in the values, we have: Forecast for March = 270 + 0.52 * (216 - 270) = 270 + 0.52 * (-54) = 270 - 28.08 = 241.92. Therefore, the simple exponential smoothing forecast for March is approximately 242.
To learn more about Sales data click here : brainly.com/question/31648017
#SPJ11
The temperatures at several times of the day are shown in the coordinate plane below. The xxx-axis represents the number of hours before or after noon. For example, -1−1minus, 1 would represent 11 \text{ a.m.}11 a.m.11, start text, space, a, point, m, point, end text The yyy-axis represents the temperature in degrees Celsius. At 5 \text{ p.m.}5 p.m.5, start text, space, p, point, m, point, end text, the temperature is halfway between the temperature at 2 \text{ p.m.}2 p.m.2, start text, space, p, point, m, point, end text and the temperature at 8 \text{ p.m.}8 p.m.8, start text, space, p, point, m, point, end text What coordinates represent the temperature at 5 \text{ p.m.}5 p.m.5, start text, space, p, point, m, point, end text ?
Answer:
5,2
Step-by-step explanation:
Answer:
5, 2
Step-by-step explanation:
Follow me, please
Btw mark as brainliest so I can get to Virtusio
Peace out!
<3
The marginal cost function, in dollars per item, for producing the x th item of a certain brand of bar stool is given by MC(x)=20−0. 5 x , 0≤ x≤ 100. The fixed cost is $200. Estimating the total cost of producing 100 bars tools using the left-rectangle approximation with five rectangles, we conclude that the total cost is approximately $
The total cost of producing 100 bar stools using the left-rectangle approximation with five rectangles is approximately $200.
The marginal cost function for producing the x-th item of a certain brand of bar stool is given by MC(x) = 20 - 0.5x, where 0 ≤ x ≤ 100. To estimate the total cost of producing 100 bar stools using the left-rectangle approximation with five rectangles, we first need to calculate the width of each rectangle.
The width of each rectangle is (100 - 0) / 5 = 20.
Now, we will evaluate the marginal cost function at the left endpoints of each rectangle:
MC(0) = 20 - 0.5(0) = 20
MC(20) = 20 - 0.5(20) = 10
MC(40) = 20 - 0.5(40) = 0
MC(60) = 20 - 0.5(60) = -10
MC(80) = 20 - 0.5(80) = -20
Next, multiply each value by the width (20) and sum the results to approximate the variable cost:
Variable cost ≈ 20(20) + 10(20) + 0(20) + (-10)(20) + (-20)(20) = 400 + 200 - 200 - 400 = 0
Finally, add the fixed cost of $200 to the variable cost:
Total cost ≈ $200 + $0 = $200
So, the total cost of producing 100 bar stools using the left-rectangle approximation with five rectangles is approximately $200.
Learn more about "cost function":
https://brainly.com/question/29583181
#SPJ11
arnold ate breakfast at a restaurant. The total cost of his food, juice, and coffee was $6.45. If the sales tax rate is 8% and Arnold wants to leave a 20% tip. how much should he pay
In a class of statistics course, there are 50 students, of which 15 students scored b, 25 students scored c and 10 students scored f. if a student is chosen at random from the class, what is the probability of scoring not f
In a class of statistics course, there are 50 students, of which 15 students scored b, 25 students scored c and 10 students scored f. If a student is chosen at random from the class, the probability of scoring not f is 80%.
Given that there are 50 students, out of which 15 scored b, 25 scored c and 10 scored f. Now, let's calculate the number of students who did not score f.
Number of students who scored f = 10
Number of students who did not score f = 50 - 10
= 40
Hence, the probability of scoring not f is:
Probability of scoring not f= Number of students who did not score f
Total number of students= 4049
Therefore,Probability of scoring not f=4080
=0.80
=80%
Hence, the probability of scoring not f is 80% which means out of 50 students, 10 scored f and the remaining 40 students did not score f. Therefore, the probability of choosing any student out of the class who did not score f is 80%.
To know more about statistics visit :
brainly.com/question/31577270
#SPJ11
Find the slope of the line that passes through the pair of points. (5.3, –2.5), (7.3, –12.5)
Answer:
-5
Step-by-step explanation:
The slope of the line is found by
m = (y2-y1)/(x2-x1)
= ( -12.5 - -2.5)/( 7.3 - 5.3)
= ( -12.5 +2.5)/( 7.3 - 5.3)
= -10 /2
= -5
1. Solve *
4(3x - 2) = 8(2x+3)
Your answer
This is a required question
Pleas help me solve
Answer:
First you simplify by first taking 4 multiply the parentheses: 4 x 3X - 4 x 2 = 12X - 8 =
Then you have to do the same thing at the right side, try figure it out. When u get the answer simplify it by taking. The x to left side and the ordinary numbers to right side(not always). As said try figure it out urself if u need help i got u
What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y?
The sum is a trinomial with a degree of 5.
The sum is a trinomial with a degree of 6.
The sum is a binomial with a degree of 5.
The sum is a binomial with a degree of 6.
The statement that is true about the simplified sum of polynomials is The sum is a binomial with a degree of 6.
In the question ,
it is given that
the two polynomials are 3x²y² − 2xy⁵ and −3x²y² + 3x⁴y .
to find the simplified sum of the polynomials ,
we need to add them both
Sum = (3x²y² − 2xy⁵) + (−3x²y² + 3x⁴y)
= 3x²y² − 2xy⁵ −3x²y² + 3x⁴y
= 3x²y²−3x²y²+ 3x⁴y− 2xy⁵
= 0 + 3x⁴y− 2xy⁵
= + 3x⁴y− 2xy⁵
hence , the sum is a binomial and the degree is 5+1 = 6 .
Therefore , The statement that is true about the simplified sum of polynomials is The sum is a binomial with a degree of 6.
The given question is incomplete , the complete question is
What is true about the completely simplified sum of the polynomials 3x²y² − 2xy⁵ and −3x²y² + 3x⁴y?
The sum is a trinomial with a degree of 5.
The sum is a trinomial with a degree of 6.
The sum is a binomial with a degree of 5.
The sum is a binomial with a degree of 6.
Learn more about Polynomial here
https://brainly.com/question/9814250
#SPJ1
Which Venn Diagram correctly describes the relationship between set R and set W , where set R ={all Real numbers} and set W ={Whole numbers}?
Answer:
I think it is B
Step-by-step explanation:
Because the real numbers are bigger
The correct option is Option B.
Venn diagrams are given which shows relationship between set R and W.
We have to find that which correct describes the relationship between set R and W.
What are whole numbers and real numbers ?
Whole numbers are made up of natural numbers like 1, 2, 3, and 4 also including 0. Whereas real numbers are made up of rational and irrational numbers.
As per the definition ,
Set of whole numbers will be , {W} = { 0,1,2,3,4, . . . . . . }
Set of real numbers will be ; {R} = {- ∞ , . . . . . . . . , + ∞ }
If we take intersection of set we get that ; real numbers include all whole numbers.
Thus , correct option is Option B.
To learn more about Set click here ;
https://brainly.com/question/856690
#SPJ2
The line plot shos the number of hours students spend watching tv each night. Describe the data. Include measures of center variability. Round to the nearest tenth if necessary