Answer: 36.4
Step-by-step explanation:
Just convert the percentage to decimal and multiply.
70 x 0.52 = 36.4
an engineer says a pipe should be 7/10 centimeters long. The pipe is 9/10 centimeter long. How much of the pipe needs to be cut off? write an equation.
Answer: x = 9/10 - 7/10
Step-by-step explanation:
which graph represents the equation y =1/3 x + 2
The graph of the equation y = (1/3)x + 2 is passing through points
(3, 3) and ( -3, 1).
What is a graph?The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.
These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.
Given, A linear equation y = (1/3)x + 2.
Now to graph the equation we'll simply put some arbitrary values of x which will correspond to some values of y and plot them then we'll join them with a straightedge.
When x = 3, y = 3 ⇒ (3, 3).
When x = - 3, y = 1 ⇒( -3, 1).
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The implicational rule of inference that permits us to derive a specific instance from a universal statement isa. Existential Generalization.b. Existential Instantiation.c. Universal Generalization.d. Universal Instantiation.
Option D is the correct answer, Universal Instantiation is The implicational rule of inference that permits us to derive a specific instance from a universal statement.
It is the process of deriving an individual statement from a general one by replacing the variable with a name or another referring expression called Instantiation.
Universal Instantiation is also called universal specification or universal elimination, it is a valid rule of inference from the truth about each member of a class of individuals to the truth about a particular individual of that class.
Example: "No humans can fly. John Doe is human. Therefore John Doe can not fly."
∀xA⇒A(x↔a}
for every formula A and every term a, where A(x↔a} is the result of substituting a for each free occurrence of x in A. A(x↔a} is an instance of
∀xA.
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Help me please just 5-8
Answer:
listed below
Step-by-step explanation:
5.) x=77 and y=63
6.)y=60 and x= 1230
7.)y=65 and x=92
8.)y=69 and x=175
Say that we have three voters deciding among seven candidates, a, b, c, d, e, f, g. Their preference orderings are as follows.
1 2 3
(Best) c f g
a b b
e c c
g g d
b a e
d d f
(W orst) f e a
a. Find the top cycle.
b. For each candidate in the top cycle, write down an agenda (a sequence of majority rule
votes) that makes that candidate win (you can write the agenda as a tree).
c. Say that the voters use the Borda count system (each voter gives 6 points to their first
choice, 5 points to their second choice, and so on) to decide among the candidates. Which
candidate wins?
d. Is the Borda count winner also the Condorcet winner?
e. Which candidate does the worst in the Borda count?
f. Say that the person who does worst in the Borda count (your answer in part e. above) is
embarrassed about their poor performance, and tries to convince another candidate to drop
out so that they are no longer the worst person. If a candidate drops out, there would be
six candidates, and hence in the Borda count system, each voter gives 5 points to their first
choice, 4 to their second choice, and so forth. If a candidate drops out, is it possible for the
person who was originally the worst to no longer be the worst? If so, which candidate should
drop out? If not, please explain why not.
A. The top cycle in this case is a -> b -> c -> a.
B. The agenda that wins the candidate is:
First vote:
a vs b -> a wins
Second voice:
versus. c -> a wins
The agenda that Candidate B wins is:
First vote:
b vs c -> b wins
Second Voice:
b vs a -> b wins
The agenda that Candidate C wins is:
First vote:
c vs a -> c wins
Second Voice:
c vs b -> c wins
C. Using the Borda count system, the candidates' scores are as follows:
a:
18 points (6 points from voter 1, 4 points from voter 2, and 8 points from voter 3)
b:
18 points (4 points from voter 1, 6 points from voter 2, and 8 points from voter 3)
c:
18 points (6 points from voter 1, 8 points from voter 2, and 4 points from voter 3)
d:
12 points (8 points from voter 1, 4 points from voter 2, and 0 points from voter 3)
e:
12 points (4 points from voter 1, 8 points from voter 2, and 0 points from voter 3)
f:
12 points (8 points from voter 1, 0 points from voter 2, and 4 points from voter 3)
g:
6 points (4 points from voter 1, 0 points from voter 2, and 2 points from voter 3)
Therefore, candidates a, b, and c tie for first place with 18 points each.
D. No, the Borda count winner is not the Condorcet winner, because the Condorcet winner is the candidate who would win in a majority rule vote against every other candidate. In this case, candidate c is the Condorcet winner, because c beats a and b in majority rule votes.
E. The candidate with the worst score in the Borda count is g of 6 points.
F. If a candidate fails, the original worst candidate may no longer be the worst. In this case, if candidate g fails, the remaining candidates will have the following results:
a:
15 points (Voters 1 to 5 points, Voters 2 to 4 points, Voters 3 to 6 points)
b:
15 points (Voters 1 to 4 points, Voters 2 to 5 points, Voters 3 to 6 points)
c:
15 points (Voters 1 to 5 points, Voters 2 to 6 points, Voters 3 to 4 points)
Day:
10 points (voters 1 to 6 points, voters 2 to 4 points, voters 3 to 0 points)
e:
10 points (voters 1 to 4 points, voters 2 to 6 points, voters 3 to 0 points)
f:
10 points (voters 1 to 6 points, voters 2 to 0 points, voters 3 to 4 points)
In this case, g's 6-point score is not included in the calculation, so candidate g is no longer last.
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Solve x2 + 4x = 1 for x by completing the square.
x = −3
x = −1
x equals plus or minus square root of 5 minus 2
x equals plus or minus square root of 5 plus 2
Using the completing square method, the value of (C) x = ±√5 - 2.
What is completing the square method?A quadratic polynomial of the form ax2+bx+c can be transformed to the form in elementary algebra by using the "completing the square" method for certain values of h and k.
In other words, the quadratic expression is completed by inserting a perfect square trinomial.
So, we have:
x² + 4x = 1
The x-coefficient terms must be divided by two:
4/2 = 2
Square:
2² = 4
Add 4 on both sides as follows:
x² + 4x + 4 = 1 + 4
x² + 4x + 4 = 5
Transform into perfect squares:
(x + 2)² = 5
Both sides of the square root:
x + 2 = ±√5
x = ±√5 - 2
Therefore, using the completing the square method, the value of (C) x=±√5-2.
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Complete question:
Solve x2 + 4x = 1 for x by completing the square.
a. x = −3
b. x = −1
c. x equals plus or minus the square root of 5 minus 2
d. x equals plus or minus square root of 5 plus 2
Answer:
is c correct?
Step-by-step explanation:
Suppose that DEF is isosceles with base DE.
Suppose also that mZD=(5x+26)° and mZF = (3x+63)°.
Find the degree measure of each angle in the triangle.
k
D
(5x + 26)
-(3x + 63)°
E
mZD=
mZE=
mZF =
X
O
The degree measure of each angle in the triangle would be
m∠D = 56°
m∠F = 81°
m∠E = 43°
What is an isosceles triangle?
In an isosceles triangle, the two base angles are congruent, or equal in measure.
In addition, the sum of the measures of the angles in any triangle is always 180 degrees. Therefore, we can set up an equation to find the measure of each angle in the triangle:
m∠D + m∠F + m∠E = 180 degrees
Substituting the given values for the measures of angles D and F, we get:
(5x+26) + (3x+63) + m∠E = 180
Combining like terms and solving for m∠E, we find that:
m∠E = 180 - (5x+26) - (3x+63)
= 180 - 8x - 89
= 91 - 8x
Therefore, the measure of angle E is 91 - 8x degrees.
To find the measure of angles D and F, we can substitute this value back into the equation:
m∠D + m∠F + m∠E = 180
(5x+26) + (3x+63) + (91-8x) = 180
Solving for x, we find that x = 6.
m∠D =5(6) + 26 = 30 + 25 = 56°
m∠F = 3(6) + 63 = 18 + 63 = 81°
m∠E = 91 - 8(6) = 91 - 48= 43°
Therefore, the degree measure of each angle in the triangle would be
m∠D = 56°
m∠F = 81°
m∠E = 43°
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The degree measure of each angle in the triangle would be
m∠D = 56°
m∠F = 81°
m∠E = 43°
What is an isosceles triangle?
In an isosceles triangle, the two base angles are congruent, or equal in measure.
In addition, the sum of the measures of the angles in any triangle is always 180 degrees. Therefore, we can set up an equation to find the measure of each angle in the triangle:
m∠D + m∠F + m∠E = 180 degrees
Substituting the given values for the measures of angles D and F, we get:
(5x+26) + (3x+63) + m∠E = 180
Combining like terms and solving for m∠E, we find that:
m∠E = 180 - (5x+26) - (3x+63)
= 180 - 8x - 89
= 91 - 8x
Therefore, the measure of angle E is 91 - 8x degrees.
To find the measure of angles D and F, we can substitute this value back into the equation:
m∠D + m∠F + m∠E = 180
(5x+26) + (3x+63) + (91-8x) = 180
Solving for x, we find that x = 6.
m∠D =5(6) + 26 = 30 + 25 = 56°
m∠F = 3(6) + 63 = 18 + 63 = 81°
m∠E = 91 - 8(6) = 91 - 48= 43°
Therefore, the degree measure of each angle in the triangle would be
m∠D = 56°
m∠F = 81°
m∠E = 43°
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You brought popular game on sale for $20 and want to sell it on eBay. You want to mark up the toy 60%. What did you sell it for?
The length of four rivers in Africa is shown in the table below.
How is the length of the Zambezi river written in scientific notation?
Move the correct answer to each box. Not all answers will be used.
The length of the Zambezi river is 838 × 10⁵ or 83.8 × 10⁶ or 8.38 × 10
What is scientific notation?
Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation.
For example, 750,000,000 can be written in scientific notation as 7.5 ✕ 10⁸.
The length of the Zambezi river 83,800,000 feet.
Rewrite 83,800,000:
83,800,000 = 838 × 100000
83,800,000 = 838 × 10⁵ [Since the number of zeros is 5]
Multiply and divide 10:
83,800,000 = 838 × 10⁵ × (10/10)
83,800,000 = (838/10) × 10⁵ × 10
83,800,000 = 83.8 × 10⁵ × 10
83,800,000 = 83.8 × 10⁶
Multiply and divide 10:
83,800,000 = 83.8 × 10⁶ × (10/10)
83,800,000 = (83.8/10) × 10⁶ × 10
83,800,000 = 8.38 × 10⁷
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What is 0.6 divided by 10
Answer: 0.06
Step-by-step explanation:
Use the extended Euclidean algorithm to find the greatest common divisor of 3,984 and 588 and express it as a linear combination of 3,984 and 588.
Step 1: Find
q1
and
r1
so that
3,984 = 588 · q1 + r1,
where
0 ≤ r1 < 588.
The greatest common divisor is 12. The linear combination of 3984 and 588 is given by 12 = 61×588 - 9×3984.
The extended Euclidean algorithm is an algorithm to compute integers x and y such that: ax+by=gcd(a,b)The extended Euclidean algorithm can be viewed as the reciprocal of modular exponentiation.
By reversing the steps in the Euclidean algorithm, it is possible to find these integers x and y. The whole idea is to start with the GCD and recursively work our way backwards. This can be done by treating the numbers as variables until we end up with an expression that is a linear combination of our initial numbers.
First use Euclid's algorithm to find the GCD:
3984 = 588 ×6 + 456
588 = 456×1 +132
456= 132 ×3 + 60
132 = 60×2 +12
60 = 12×5+0
The last non-zero remainder is 12.
Thus, the greatest common divisor is 12.
Now we use the extended algorithm:
12 = 132 +(-2)×60
= 132 + (-2)×(456 + (-3)×132))
= (-2)×456 + 7×132
= (-2)×456 + 7×(588 +(-1)×456))
= 7×588 + (-9)×(3984 +(-6)×588))
= 61×588 + (-9)×3984
Thus, a = -9 and b = 61.
Thus, the linear combination of 3984 and 588 is given by 12 = 61×588 - 9×3984.
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If 1+3+5+7+…+49 =625, what is 2+4+6+8+…+50?
If 1+3+5+7+…+49 =625, then the value of 2+4+6+8+…+50 = 650.
What is arithmetic series?
A series of numbers called an arithmetic progression or sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15.
Here, we have
Given: 1+3+5+7+…+49 =625
We have to find the value of 2+4+6+8+…+50.
Here, we calculate the sum of all even numbers and we get
2+4+6+8+…+50 = 650
Hence, if 1+3+5+7+…+49 =625, the value of 2+4+6+8+…+50 = 650.
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URGENT!!!!
Find z such that 7% of the area under the standard normal curve lies to the right of z.
The value of z such that 7% of the area under the standard normal curve lies to the right of z is approximately -0.4
How to find z such that 7% of the area under the standard normal curve lies to the right of z?
To find the value of z such that 7% of the area under the curve lies to the right of z, we need to find the value of z such that 43% of the area lies to the left of z.
This value of z is known as the 43rd percentile of the standard normal curve.
We can use a table of the standard normal distribution, also known as the z-table, to find the value of z corresponding to the 43rd percentile.
According to the z-table, the value of z corresponding to the 43rd percentile is approximately -0.4
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Find the rate of change of the line that contains the two points (-1, -4) and (5, 4). Be sure to show all calculations and reduce your slope to a fraction in simplest form.
The rate of change of the line that contains the two points (-1, -4) and (5, 4) is 4/3.
What is the rate of change of the line?The rate of change for a line is the slope, the rise over run, or the change in over the change in.
The slope of line can be calculated using the formula, slope =(y2-y1)/(x2-x1).
The given coordinate points are (-1, -4) and (5, 4).
Now, slope = (4-(-4))/(5-(-1))
= (4+4)/(5+1)
= 8/6
= 4/3
Therefore, the slope of a line is 4/3.
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Fully simplify.
(3x^2y^2)^3
(3x
2
y
2
)
3
Answer:
[tex]27x^6y^6[/tex]
Step-by-step explanation:
The formatting of the question is a bit confusing, but if the expression is [tex](3x^2y^2)^3[/tex], use the power of a product exponent rule [tex](ab)^m=(a)^m(b)^m[/tex]. So,
[tex](3x^2y^2)^3=(3)^3(x^2)^3(y^2)^3[/tex].
Next, use the power of a power exponent rule [tex](a^m)^n=a^{m*n}[/tex]. So,
[tex](3)^3(x^2)^3(y^2)^3=27(x^{2*3})(y^{2*3})=27x^6y^6[/tex]
Need Help with this question.
Answer:
x=5
Step-by-step explanation:
If p and q are parallel, then the two angles in question should be equal to one another.
So,
(3x+15)°=(8x-10)°
(3x+15)°+10°=(8x-10)°+10°
(3x+25)°=(8x)°
(3x+25)°-(3x)°=(8x)°-(3x)°
25°=5x°
5=x
So, the two angles should be (8(5)-10)° and (3(5)+15)°. Both of these expressions equal 30°. This makes sense, as the illustration shows that the two angles are acute.
Frank bought two pork roasts. One roast weighed five and seven-eighths pounds and the other roast weighed nine and five-sixths pounds. What is the total weight of the pork roasts?
Answer:
15[tex]\frac{17}{24}[/tex]
Step-by-step explanation:
5 [tex]\frac{7}{8}[/tex] + 9 [tex]\frac{5}{6}[/tex] We can write the fractions as equivalent fractions with a common denominator of 24
[tex]\frac{7}{8}[/tex] x[tex]\frac{3}{3}[/tex] = [tex]\frac{21}{24}[/tex]
[tex]\frac{5}{6}[/tex] x [tex]\frac{4}{4}[/tex] = [tex]\frac{20}{24}[/tex]
5[tex]\frac{21}{24}[/tex] + 9[tex]\frac{20}{24}[/tex]
5 + 9 + [tex]\frac{21}{24}[/tex] + [tex]\frac{20}{24}[/tex]
14 + [tex]\frac{41}{24}[/tex]
14 + [tex]\frac{24}{24}[/tex] + [tex]\frac{17}{24}[/tex] I broke up [tex]\frac{41}{24}[/tex] because [tex]\frac{24}{24}[/tex] is another name for 1
14+1 + [tex]\frac{17}{24}[/tex]
15[tex]\frac{17}{24}[/tex]
Need Awnser asap
Right Awnser gets branliest
Answer:
x1,y16 is the rate of change
Step-by-step explanatI subtracted 13-32 which gives me 16, then I added 16 to 32 to be sure and it gave me 48 so the change on the Y axis is going up by 16 and x axis is going up by 1
What is BC?
BC= units?
The value of BC = 25 using properties of triangle.
What are properties of triangle ?
Let us discuss here some of the properties of triangles.
1. A triangle has three sides and three angles.
2. The sum of the angles of a triangle is always 180 degrees.
3. The exterior angles of a triangle always add up to 360 degrees.
4. The sum of consecutive interior and exterior angle is supplementary.
Properties for isosceles:
Isosceles triangles are those triangles that have at least two sides of equal measure.
1. Two equal sides and two equal angles.
2. The two equal sides of an isosceles triangle are called the legs and the angle between them is called the vertex angle or apex angle.
3. The side opposite the vertex angle is called the base and base angles are equal.
Using 1st property,
in given triangle two angles are equal then opposite side will also be equal.
So, AB = AC
i.e. 4x+4 = 6x-14
4+14 = 6x-4x
18 = 2x
x = 9
Putting value of x in BC
BC = 2*9 +7
= 18+7
= 25.
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3 less than the difference of 15 and a number h
Answer: 15 - h - 3
Step-by-step explanation:
HEPPPP ASPP!!! PLEASE I BEG YOU !!
John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck. Which table shows the relationship between h, the number of hours john’s brother works, and c, the total cost of the project ?
According to the given questions the answer is for 3 hour $560, for 8 hour cost $685 and for 12 hour cost $785.
What are time and work?A crucial concept that time and labour have in common with some other mathematical topics is the concept of proportionality. Because efficiency grows inversely linked to the amount of time needed when the quantity of work is constant.
What is work time problem in math?The fundamental equation for solving is 1/r+1/s=1/h. Let's choose Hrithik as our example. Let's assume that Hrithik completes 1/20 of something like the work in a day and Dhoni completes 1/30 of the work in a day. They will accomplish 1/20 + 1/30 = 5/60 = 1/12th of something like the work in a day if they collaborate.
Briefing:Given that John paid $485 to build a deck.
And he will pay $25 per hour to his brother for building the deck.
one hour of work costs John $25 + $485 .
Total cost of building deck = $25 × h number of hours + $485
3 hour of work costs $25 × 3 = $75 + $485 = $560
8 hour of work costs = $25 × 8 = $200 + $485 = $685
12 hour of work costs = $25 × 12 = $300 + $485 = $785
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The complete question is-
John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck. Which table shows the relationship between h, the number of hours John’s brother works, and c, the total cost of the project?
h c
0 485
3 510
8 535
12 560
h c
0 510
3 535
8 560
12 585
h c
0 485
3 560
8 685
12 785
h c
0 510
3 585
8 710
12 810
Create a table showing all the tasks you and your family do around the house that use water and how often those tasks happen. Leave space for one more column.
Find the Probability of, A King, ace, jack of clubs or queen of diamonds appears in drawing a single card from a well shuffled ordinary deck of 52 cards.
The Probability of, a ace, jack of clubs, King or queen of diamonds appears in drawing a single card from a well shuffled ordinary deck of 52 cards is 4/13.
As per the given data,
we need to find out the probability of, King, ace, jack of clubs or queen of diamonds appears in drawing a single card from a well shuffled ordinary deck of 52 cards.
We know that,
Probability(Event) =Number of Favorable Outcomes/Total number of
Outcomes = x/n.
Total number of Outcomes is 52 (given)
So, we will calculate Number of Favorable Outcomes as follows:
The total no. of King in deck of card is 4
The total no. of queen in deck of card is 4.
The total no. of ace in deck of card is 4.
The total no. of jack in deck of card is 4.
Therefore, the number of favorable outcomes is 4+4+4+4= 16
Now, putting values in the above stated formula of probability, we get:
Probability= 16/52=4/13
Therefore, the probability of pulling a King, Ace, Jack of Clubs, or Queen of Diamonds from a 52-card standard deck that has been properly shuffled is 4/13.
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The better your time management skills are, the more work you are able to do is an example of a Continuous correlation Biserial correlation O Positive correlation O Negative correlation
The time management skill and amount of work done is an example of positive correlation.
Correlation or dependency pertains to any statistical link involving two random variables or bivariate data, whether causal or not. Although the term "correlation" can refer to any form of link, in statistics it is most usually used to refer to the degree to which two variables are statistically linearly associated.
The link between the heights of parents and their children, as seen in the enough that demand curve, and the correlation between the price of an item and the quantity of items that buyers are willing to acquire are examples of dependent phenomena.
The Pearson product-moment correlation coefficient (PPMCC), sometimes known as "Pearson's correlation coefficient," is the most commonly used measure of two-value dependency.
It is computed by dividing the covariance ratio of the two variables in our numerical dataset by the square root of their variances. The covariance of the two variables is simply divided by the product of their standard deviations in mathematics. The coefficient was calculated by Karl Pearson from Francis Galton's similar but slightly different idea.
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AXY is similar to ABC
Which of the following expressions could be used to determine the length of segment AB?
The expression that could be used to determine the length of segment AB in the triangles given is: A. AB = AX * AC/AY.
What are Similar Triangles?When two triangles are stated to be similar to one another, it means both triangles have equal corresponding angles, but their corresponding sides have proportional lengths or have ratios that are equal.
This means similar triangles have the same shape but different sizes, since their corresponding side lengths have proportional length.
Given that triangle AXY is similar to triangle ABC, it means that:
m<A = m<A
m<X = m<B
m<Y = m<C
AX/AB = AY/AC = XY/BC
To find the length of AB, we could use the following expression derived from the ratios stated above:
AX/AB = AY/AC
Cross multiply:
(AB) * (AY) = (AX) * (AC)
Divide both sides by AY
(AB) * (AY) / AY = (AX) * (AC) / AY
AB = AX * AC/AY
The expression to use is: A. AB = AX * AC/AY
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1. Which equation describes the line with
slope -4 and y-intercept 2?
A y=-4x+2
B y=-4x-2
C y=4x-2
D y = 4x + 2
Answer:
Step-by-step explanation:
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
Therefore, the equation of the line with slope -4 and y-intercept 2 is y = (-4)x + 2.
Your class council determined that its profit from the upcoming homecoming dance is directly
related to the ticket price for the dance. Looking at past dances, the council determined that the
profit p can be modeled by the function p(t) = -1212 + 480t + 30, where t represents the price of
each ticket. What should be the price of a ticket to the homecoming dance to maximize the
council's profit?
The price of a ticket to the homecoming dance to maximize the council's profit is 4830.
Define vertex?A vertex is a location in geometry where two or more curves, lines, or edges converge. As a result of this definition, vertices are the intersection of two lines that create an angle as well as the corners of polygons and polyhedra.A vertex is a point on a polygon where two rays or line segments meet, the sides, or the edges of the object come together. Vertex is the plural form of vertices.The vertex of an angle is the point around which it is measured, and the vertex angle is the angle that corresponds to a particular vertex.A face is a flat surface, an edge is a straight line connecting two faces, and a vertex is the corner of the shape.Given: a= -12, b = 480Vertex t= -b/2at= -480/2(-12) = 20Therefore, $20 per ticket.p(20) = -12(20) pow 2 + 480(20) + 30= 4830To learn more about vertex refer to:
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Answer:
$2 each ticket
Step-by-step explanation:
I don't really know how it's 2, but it's in the vertex of the graph. I just got my test back which the answer was 2. I'm sorry if you expected reasoning but I only got an answer. You can make a table for the equation and then see that 2 results in the highest profit though. 2 being substituted for t equates to the greatest profit.
Given the conditional statement ~p → q, which statement is logically equivalent?
p → ~q
~p → ~q
~q → ~p
~q → p
Answer:
~q → pStep-by-step explanation:
Given the conditional statement ~p → q, the statement logically equivalent is ~q → p.
Problems 14 and 15 pertain to the following situation: a woman buys 20 one-dollar lottery tickets per month. The probability of any ticket being a winning ticket is 0.10 or 10%.
14. The probability that in any one month at least three of the tickets that the woman buys are winning tickets is about?
15. The average number of winning tickets that the woman buys each month is about?
The required probability is P(X≥3) =0.3234
The average number of winning tickets that the woman buys each month is 2.
The binomial probability distribution is a discrete type of probability distribution with two parameters, n, and p. The probability mass function of the distribution is used to get the required probability. The average value of the winning number is the expected value of the binomial distribution.
The probability mass function of the binomial distribution is defined as:
[tex]P(X=x)=\frac{n}{x} p^{x} (1-p)^{n-x} , x =0,1,2,3,....,n.[/tex]
Given that,
n = 20
p = 0.10
The required probability is P(X≥3)
P(X≥3) = 1-P(X<3)
P(X≥3)= 1-P(X=0)-P(X=1)-P(X=2)
P(X≥3)= 1- 0.1216- 0.270- 0.285
P(X≥3) = 0.3234
The mean of the distribution is defined as μ=n*p= 20*0.10= 2
The average number of winning tickets that the woman buys each month is 2.
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What is the approximate perimeter of this triangle?
Answer:
163.6 in---------------------------
Given:
a = 56 in,m∠A = 55°.Find the missing sides:
56/b = tan 55° ⇒ b = 56 / tan 55° = 39.21 in,56/c = sin 55° ⇒ c = 56 / sin 55° = 68.36 in.Perimeter is:
56 + 68.36 + 39.21 = 163.57 ≈ 163.6 in