What is the probability of winning a raffle if 500 tickets are sold and you get 5
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Related Questions
A trapezoid with an area of 45 square units is plotted on the coordinate plane. This trapezoid can be decomposed into a rectangle and right triangle. The vertices of the rectangle are located at the points (–6, –2),(–6, 3), (1,3), and (1,–2). Write two possible coordinates for the last vertex of the trapezoid that have different x-coordinates. Show your work in the space below or on the coordinate plane.
Find three consecutive numbers whose sum is 138 by writing and solving an equation
PARABOLADraw a dolphin or Eiffel tower (choose one only) in graphing paper.
Mr McKay bought b boxes of crackers for $3 each and p pounds of cheese for $4 per pound. How much did he spend in all.
Subtraction Property of Equality
Multiplication Property of Equality
Division Property of Equality
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p/7 - 5 = -3
Add 5 to each side. (Addition property.)
p/7 = 2
Multiply each side by 7. (Multiplication property.)
p = 14
B .No triangle exists with the given angle measures.
C. More than one unique triangle exists with the given angle measures.
Answers
No triangle exists with the given angle measures ( 55° , 45° and 90° )
What is a Triangle?
A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
And , the measure of ∠ABC = 90°
Now , the measure of ∠BAC = 55°
And , the measure of ∠ACB = 45°
For the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
And , 90° + 55° + 45° = 190°
Therefore , the triangle is not possible
Hence , there is no triangle with measures ( 55° , 45° and 90° )
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Answer: The correct answer is B.
The first thing to check is the sum of the angles. 32 + 51 + 97 = 180. Therefore, the sides equal 180 and we can have a triangle because all triangles have exactly 180 degrees.
Second, the number of triangles with these measures is endless. Imagine taking the initial triangle and doubling the size. The angles don't change but the triangle does. We could keep doubling the size forever.
(1 week = 7 days)
A.
539 weeks
B.
85 weeks
C.
70 weeks
D.
11 weeks
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D)11 weeks is the answer
Select two answers: one for the zeros and one for the x-intercepts.
A. x-Intercepts: (-3,0) and (2.0)
B. X-Intercepts: (0, -3) and (0,2)
C. Zeros: -3 and 2
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The answer is ⇒C. Zeros: -3 and 2
A. x-intercepts: (-3,0) and (2,0).
What are zeros & x-intercepts of quadratic function?
The zero of the function is where the y-value is zero.
The x-intercept is where the graph crosses the x-axis.
Here, in graph we have,
at (-3,0) and ( 2,0) the quadratic crosses the x-axis.
And, at -3 & 2 the value of y is zero.
Hence, the answer is ⇒C. Zeros: -3 and 2
A. x-intercepts: (-3,0) and (2,0).
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Zero and x-intercept are kind of the same thing
B) P(z≤-a)-P(-a≤z≤a)+P(z≥a)
C) P(z≤-a)+P(-a≤z≤a)-P(z≥a)
D) P(z≤-a)+P(-a≤z≤a)+P(Z≥a)
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Therefore, option D is the correct answer.
Answer:
D.
Step-by-step explanation:
Properties of normal distribution-
- The normal curve is symmetrical about the mean (μ).
- The mean is at the middle of the graph and it divides the area into two equal halves.
- The total area under the curve is equal to 1.
The total area under the curve can be divided into parts like,
- area below
, i.e
,
- area between
, i.e
- area above
Therefore,
B. P(A | B) = P(A)
C. P(A ∩ B) = P(A)
D. P(B) = P(A | B)
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Answer: The correct option is (B) P(A | B) = P(A)
Step-by-step explanation: Given that A and B are independent events.
We are to select the TRUE statement from the given options.
We know that
if two events A and B are independent events, then the probability of the intersection of A and B is equal to the product of the probabilities of the events A and B.
That is,
Now, the conditional probability of event A given that event B has already occured is given by
Thus, the correct statement is P(A | B) = P(A).
Option (B) is CORRECT.