The statements which best defines the mutually exclusive events is two events are mutually exclusive if it is impossible for the two events to occur simultaneously (A).
When two events are said to be mutually exclusive?The two events area said to be mutually exclusive when the cannot be take place simultaneously. For the two events, A and B, to be mutually exclusive,
[tex]P(A\cap B)=0[/tex]
Properties of mutually exclusive event:
Mutually exclusive event can not occur simultaneously.Probability of occurring the Mutually exclusive event for the same time is 0.They are disjoint.Thus, the statements which best defines the mutually exclusive events is two events are mutually exclusive if it is impossible for the two events to occur simultaneously (A).
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Which of the following point-slope form equations could be produced with the points (4, -5) and (-4, -3)?
Answer:
[tex]y + 5 =- \frac{1}{4} (x-4)[/tex]
Step-by-step explanation:
You will find the slope-intercept form first, and then you can find the point slope form of the equation
Complete this equation so that it has infinitely many solutions.
2(X-1/4)=6(1/3x-_____)
Answer:
1/12 goes in the blank
Step-by-step explanation:
For there to be infinitely many solutions, the left and right sides must be identical when simplified.
x -1/4 = 3(1/3x - __) . . . . divide by 2
x -1/4 = x -3(__) . . . . . . . eliminate parentheses
-1/4 = -3(__) . . . . . . . . . subtract x
1 = 12(__) . . . . . . . . . . . multiply by -4
1/12 = __ . . . . . . . . . . divide by 12
The equation with infinitely many solutions is ...
2(x -1/4) = 6(1/3x - 1/12 )
Find the component of u along v.
u= (-4,6), and v=[tex](1\sqrt{2}, 1\sqrt{2} )[/tex]
u. The distance we travel in the direction of v, while traversing u is called the component of u with respect to v and is denoted compvu. The vector parallel to v, with magnitude compvu, in the direction of v is called the projection of u onto v and is denoted projvu.
Answer:
[tex]comp_vu=\sqrt{2}[/tex]
Step-by-step explanation:
The component of vector u along v is [tex]comp_vu=\frac{u\bullet v}{||v||}[/tex] where [tex]u\bullet v[/tex] is the dot product and [tex]||v||[/tex] is the magnitude of vector v.
The dot product is [tex]u\bullet v=u_1v_1+u_2v_2=(-4)(1\sqrt{2})+(6)(1\sqrt{2})=2\sqrt{2}[/tex]
The magnitude of vector v is [tex]||v||=\sqrt{v_1^2+v_2^2}=\sqrt{(1\sqrt{2})^2+(1\sqrt{2})^2}=\sqrt{2+2}=\sqrt{4}=2[/tex]
Therefore, the component of vector u along v is [tex]comp_vu=\frac{u\bullet v}{||v||}=\frac{2\sqrt{2}}{2}=\sqrt{2}[/tex]
need help with this….
Answer:
omg im still dont no
Step-by-step explanation:
sorry
what is the apsolute value of -1/4
Answer:
|.25|
Step-by-step explanation:
Answer:
-1 / 4 = 0.25
Step-by-step explanation:
Find the percent decrease. Round to the nearest percent.
From 146 pounds to 139 pounds
The percent decrease is
%.
write the number that is one hundredth more than 321.555
Answer:
321.565
Step-by-step explanation:
hundredths is the second digit behind the decimal point so that means 5+1 is 6 Hope this helps
Write each fraction as a percent 2/16
Answer:
100÷16=6.25 then 6.25×16=100 then 6.25×2=12.5
Step-by-step explanation:
answer is 12.5 precent
Bubba’s car needed work. The mechanic charged him $160 for parts plus $38 per hour for labor. If the bill totaled $300, how many hours of labor were required.
Answer:
3.7 hours
Step-by-step explanation:
h = hours in labor
t = total money
--------------------
160 + 38h = t
160 + 38h = 300
-------------------
Solve:
160 + 38h = 300
38h = 140
h = 3.68421052632
h = 3.7
Order these numbers from least to greatest.
0.3
0.7
2.3
-0.5
-4.5
Answer:
Order from Least to Greatest
-4.5 < -0.5 < 0.3 < 0.7 < 2.3
Answer:
-4.5, -0.5, 0.3, 0.7, 2.3
A repeated-measures design would be appropriate for which of the following situations?
A researcher would like to study the effect of advanced training on sales figures.
A researcher would like to compare individuals from at least two populations.
The effect of a new initiative is studied in a small group of individuals with rare skills.
None of these situations
Which of the following is an independent-measures design?
Different participants perform in each condition.
Each participant is tested twice, once in each condition.
All participants perform in every condition.
None of these situations
The design of the experiment is an indication of the allocation of the
participants in the experiment to different groups.
The responses are;
First Part: A repeated-measures design is appropriate for; A researcher would like to study the effect of advanced training on sales figures.Second Part: An independent-measures design is one in which; Different participants perform in each condition.Reasons:
First Part:
A repeated-measures design is a testing procedure used during an
investigation that makes use of the same group or sample set, but taking
measurement of the members of the set under two different conditions or
at two different times.
Therefore;
A repeated-measures design would be appropriate in the situation where; A researcher would like to study the effect of advanced training on sales figures.
Second Part:
An independent-measures design is one that compares the properties
within two samples, such that the information in the population is not
required. It is a between-groups design, such that different participants
are used for the different conditions of the independent variable.
Therefore;
The option that is an independent-measures design is; Different participants perform in each condition.
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Write 0.3% percent as a decimal, please explain how you get it in order to get marked
Answer:
The answer is 0.003
Step-by-step explanation:
In order to convert a percentage into a decimal you have to move the decimal two places to the left; just like how you turn a decimal into a percentage by moving the decimal two places to the right.
what is the largest 6 digit whole number number less than three-quarters of one million that you can make with the digits 4, 7, and 5 using each digit twice
Answer:
747554
Step-by-step explanation:
The second number must be less than 5. All of the others are arranged by value.
When graphing the following equation on a coordinate plane, it will NOT pass through the origin (0, 0). Is this statement true or false? Equation: y = -2x
Answer:
false
Step-by-step explanation:
I just did the test myself and got 100 :)
a cylinder has a base diameter of 16 cm and a height of 19 cmwhat is its volume in cubic centimeters?
Answer:
3820.18cm³ i know it is right
Step-by-step explanation:
brainlest for me please
b2 + 3 + 2b2 + 4-7
Combine like terms
Answer:
3b^2
Step-by-step explanation:
Add the numbers
^2 + 3 + 2^2 + 4 − 7
b^2 + 0 + 2b^2
Add the zero
b^2 + 2b^2
Combine like terms
3b^2
In the diagram, AABC = AWRS. What is the
perimeter of AWRS?
10 units
11 units
12 units
13 units
Answer:
12 units
Step-by-step explanation:
Both triangles have the same perimeter, so we can figure out 1 and have the answer for both.
The legs of triangle AABC are 3 and 4, so we can use the Pythagorean Theorem to figure out the other side.
3² + 4² =
9 + 16 = 25
√25 = 5
To find the perimeter, just add the three sides.
3 + 4 + 5 = 12 units
The perimeter of the triangle WRS is 12 units, Option C is correct.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
As we observe the two triangles ABC and WRS
The given triangles are similar triangles.
So if we find the perimeter of any triangle then it will be equal to other triangle.
From the triangle ABC
AB =3 units
BC =4 units
By pythagoras theorem let us find AC
AB²+BC²=AC²
3²+4²=AC²
9+16=AC²
25=AC²
Take square root on both sides
AC=5 units
To find the perimeter we need to add the three sides.
3 + 4 + 5 = 12 units
Hence, the perimeter of the triangle WRS is 12 units, Option C is correct.
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if you invest $10,000 at 10% interest account compounded monthly, how much money you will have in 20 years?
Answer:
$73280.74
Step-by-step explanation:
We will use the compound interest formula to find the answer
A = P (1 + r/n)^(nt)
Where A is the total amount of money, P is the principal investment amount (how much you put in initially), R is the interest rate, N is the number of times interest is applied per period and T is the number of time periods elapsed.
$10,000 would be the principal investment amount
10% would be the interest rate
12 would be the number of times interest is applied per period (since it is paid monthly)
and 20 would be the number of time periods (as it's the number of years)
A = 10000(1+0.1/12)^(12*20)
A = 10000(7.3280736)
A = 73280.74
State if the two triangles are congruent
Answer:
Yes by ASA (angle side angle)
Step-by-step explanation:
Answer:
Yes by ASA criterion which means if two triangles are congruent any two angles and the side included between them of one triangle are equal to the corresponding angles and the included side of the other triangle.
Step-by-step explanation:
Hope it Helps you!!2. Find the distance between (2,-5) and (-3, 4).
Answer:
this is the correct answer happy
Find the distance between the points
(−5,2) and (9.2)
Step-by-step explanation:
Formula Used
By distance formula,
d (A,B)=√[(x₁ - x₂)² + (y₁ - y₂)²][tex] \sf \longmapsto \: D = √(x2-x1)²+(y2-y1)²[/tex]
[tex] \sf \longmapsto= √(9+5)²+(2-2)²[/tex]
[tex] \sf \longmapsto= = √14²+09[/tex]
[tex] \sf \red \longmapsto \boxed{= 14}[/tex]
Compute the probability of drawing two clubs from a standard deck of 52 cards. Round your answer to four decimal places. Answer: Compute the probability of drawing two face cards from a standard deck of 52 cards. Round your answer to four decimal places. Answer: Compute the probability of drawing two aces from a standard deck of 52 cards. Round your answer to four decimal places. Answer:
The 0.0588 = 5.88% probability of drawing two clubs from a standard deck of 52 cards.
0.0498 = 4.98% probability of drawing two faces from a standard deck of 52 cards.
0.0045 = 0.45% probability of drawing two aces from a standard deck of 52 cards
What is the probability?The Probability in mathematics is the possibility of an event in time. In simple words, how many times that incident is happening in any given time interval.
We know standard deck has 52 cards.
And 13 cards are for clubs.
(a).
The probability,
= number of favorable outcomes / number of outcomes
= 13 x 12 / 52 x 51
= 0.0588
0.0588 = 5.88% probability of drawing two clubs from a standard deck of 52 cards.
(b). 12 faces in a deck.
The probability,
= number of favorable outcomes / number of outcomes
= 12 x 11 / 52 x 51
= 0.04977
= 0.0498
0.0498 = 4.98% probability of drawing two faces from a standard deck of 52 cards.
(c). There are 4 aces in the deck.
The probability,
= number of favorable outcomes / number of outcomes
= 4 x 3 / 52 x 51
= 0.0045
0.0045 = 0.45% probability of drawing two aces from a standard deck of 52 cards.
Therefore, the probabilities are 0.0588, 0.0498 and 0.0045.
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Please help for 15 points...............................
Answer:
-4
Step-by-step explanation:
When x increased by 1 units, y has decreased by 4 units. So it's -4.
Or if we use y1-y2/x1-x2
= 17 - (-3) / -2-3 = (17+3)/-5
20/-5 = -4
Answer:
-4
pick two points and divide the difference of the y coordinates by the difference of the x coordinates so:
(17-13)/(-2-(-1)) = 4/(-1) = -4
Could you please help me with these angles
Answer:
The first set of questions
a. Supplementary Angles
b. They are equal Supplementary angles
c. 40 degrees
The second set of questions
a. Corresponding Angles
They are equal Supplementary angles
b. Angle A: 46 degrees
Angle B: 134 degrees
Angle C: 134 degrees
Angle D: 46 degrees
Angle E: 46 degrees
Angle F: 91 degrees
Angle G: 46 degrees
Gia đình bác Lan hai năm liền thu hoạch được 560 tạ thóc. Năm thứ hai bác Lan thu hoạch hơn năm thứ nhất 60 tạ thóc. Hỏi mỗi năm bác Lan thu hoạch bao nhiêu kg thóc?
Answer:
năm thứ nhất: 250 tạ = 17000 kg
năm thứ hai: 310 tạ = 21080kg
Step-by-step explanation:
8.
Which of the following is the graph of the equation y = 3x2 − 4x − 2?
Answer:
Graph C
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex: ( 2 /3 , − 10 /3 )
Focus: ( 2 /3 , − 13 /4 )
Axis of Symmetry: x = 2 /3
Directrix: y = − 41 /12
x y
− 1 5
0 − 2
2 3
− 10 3
2 2
3 13
Use the method of symmetry to find the extreme value of each quadratic function and the value of x for which it occurs k(x)=(300+10x)(5-0.2x)
The value of [tex]x[/tex] associated to the extreme value of the quadratic equation [tex]k(x) = (300+10\cdot x)\cdot (5-0.2\cdot x)[/tex]. The extreme value is [tex]k\left(-\frac{5}{2} \right) = \frac{3025}{2}[/tex].
First, we need to expand the polynomial as follows:
[tex]k(x) = (300+10\cdot x)\cdot (5-0.2\cdot x)[/tex]
[tex]k(x) = 300\cdot (5-0.2\cdot x)+10\cdot x\cdot (5-0.2\cdot x)[/tex]
[tex]k(x) = 1500-60\cdot x +50\cdot x -2\cdot x^{2}[/tex]
[tex]k(x) = -2\cdot x^{2}-10\cdot x +1500[/tex]
[tex]-2\cdot x^{2}-10\cdot x +[1500-k(x)] = 0[/tex]
By the quadratic formula, we know that a value of [tex]x[/tex] pass through the axis of symmetry of the parabola if and only if the discriminant is zero:
[tex]-100-4\cdot (-2)\cdot [1500-k(x)] = 0[/tex]
And the value of [tex]x[/tex] is:
[tex]x = -\frac{(-10)}{2\cdot (-2)}[/tex]
[tex]x = -\frac{5}{2}[/tex]
And the extreme value is:
[tex]k\left(-\frac{5}{2} \right) = -2\cdot \left(-\frac{5}{2} \right)^{2}-10\cdot \left(-\frac{5}{2} \right) + 1500[/tex]
[tex]k\left(-\frac{5}{2} \right) = \frac{3025}{2}[/tex]
The value of [tex]x[/tex] associated to the extreme value of the quadratic equation [tex]k(x) = (300+10\cdot x)\cdot (5-0.2\cdot x)[/tex]. The extreme value is [tex]k\left(-\frac{5}{2} \right) = \frac{3025}{2}[/tex].
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Hi if anyone could help I would very much appreciate it thx ,Enter values to write the function that matches the graph shown.
Answer:
v(x) = (2x+8)(-2x+-2)
Step-by-step explanation:
Graph the equation and the functions will be the same.
Answer:
See belowStep-by-step explanation:
We can observe that:
The x- intercepts are - 4 and - 1The y- intercept is - 16Graph opens down, the leading coefficient is negativeAccording to observations, the function is:
f(x) = a(x - (-4))(x - (-1)) = a(x + 4)(x + 1)Find the value of a, using the y - intercept:
- 16 = a(0 + 4)(0 + 1)- 16 = 4aa = -16/4a = - 4The function is:
f(x) = - 4(x + 4)(x + 1)In standard form it is:
f(x) = - 4(x² + 5x + 4) = - 4x² - 20x - 16Solve by using the steps found in this section. Write your answer in exact, simplified form.
y varies inversely as z. If y is 5 when z is 27, find y when z is 54.
Help pls
Answer:
y = 2.5Step-by-step explanation:
y varies inversely as z:
y = k/z, where k is coefficient of variationIf z is 27, then y is 5, find k:
5 = k/27k = 5*27k = 135Find y when z is 54:
y = 135/54y = 2.5a rectangular prism has a width of 8cm, a height of 8cm and a depth of 10cm. what’s the volume of the prism?
Answer:
640 cm^3
Step-by-step explanation:
Volume of a rectangular prism is determined by:
depth * width * height
Here our depth, width, and height are:
10, 8, and 8
So our equation is:
10 * 8 * 8 = 640 cm^3
