The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = 0.3 and P(male) = 0.4.
Option C is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
We are given that,
P(buys lunch | male) = 0.3 (the probability that a male student buys lunch)
P(male) = 0.4 (the probability that a student is a male).
These values suggest that there is a dependence between the two events.
The probability of buying lunch at school may be different for males and females.
The conditional probability P (buys lunch | male) is not equal to the marginal probability P(buys lunch) if the events "male" and "buys lunch" are dependent.
To confirm this,
We would need to calculate the conditional probability
P(buys lunch | female) (the probability that a female student buys lunch).
If this probability is different from 0.3 (the probability for males), then the events "male" and "buys lunch" are dependent.
Therefore,
The events "male” and "buys lunch” are not independent because
P(buys lunch | male) = 0.3 and P(male) = 0.4.
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Jeremiah built a box that was 5 inches long by 6 inches wide by 7 inches high .he started filling it up with 1 cube.he realized quickly that he did not have nearly enough cubes to fill the box .can he still figure out how many cubes it will hold?
Simplify each expression. Select the correct answer from the drop-down menu.
−6(3i)(−2i) =
2(3 − i)(−2 + 4i) =
the answer is:
−6(3i)(−2i) = -36
2(3 − i)(−2 + 4i) = -4+28i
2i(4 − 5i) = 10+8i
hope this helps! :o)
Tony Hawk was the first skateboarder to do a “900,” a rotation of 900°. How many times did he rotate on the skateboard? times 8. Each arm of this pinwheel is the image of another arm rotated
Pls help me lots of points
Answer:
2 m&ms and 1 hershey's bar
Step-by-step explanation:
A bag of fruit contains 3 apples, 2 oranges, 1 banana and 4 pears. What is the probability that I will pull out a banana first and a pear second?
PLEASE HELP!!!! SOLVE: |2x+1|+|3x−4|=5
In a dog show, there will be a gold, a silver, and a bronze medal awarded. There are
5 finalists. In how many different ways can the 3 medals be awarded?
Answer:
60 ways
Step-by-step explanation:
There are five finalist and 3 medals.
For getting the first medal, there are 5 choices, any of the finalist can get that.
For getting the second medal, we are left with 4 choices.
For getting the third medal we are left with 3 choices.
Hence, the number of ways 3 medals can be awarded are:
5×4×3=60 ways
Rewrite the set
F
by listing its elements. Make sure to use the appropriate set notation.
=
F
x
x
is an integer and
<
−
2
≤
x
2
[tex](4y + 4x) = [/tex]
What is the sum of y and x
Name a fraction that is less than or greater than the given fraction draw to justify your answer
if side a=22.3 and angle b=47 ,find c.
A.24.6
B.25.1
C.31.5
D. 32.9
Answer:
D. 32.9
Step-by-step explanation:
If a(x) is a polynomial function and b(x) is a polynomial function, then which of the following could be the sum of a(x) + b(x)?
A. ex + 2
B. x2 + 2x − log(x)
C. x6 − x4 + 9x
D. 5x² − 3x
Percy buys tomatoes that cost $0.58 per pound. He pays $2.03 for the tomatoes. Part 1 out of 3 Percy estimates he bought 4 pounds of tomatoes. Is Percy's estimate reasonable? Complete the explanation.
What is the volume of this right triangular prism?
A.)144.2 cm3
B.)164.8 cm3
C.) 288.4 cm3
D.) 1153.6 cm3
round 49,953 to the nearest hundred
A three dimensional object was sliced parallel to its base and the result was a triangular cross-section.The same shape resulted from slicing the object perpendicular to its base.What three dimensional object fits this description?
Answer:
The answer is below!
Step-by-step explanation:
A cone is the three-dimensional shape that gives a triangular cross-section when sliced either parallel or perpendicular to its base.
Explanation:The three-dimensional shape that fits the description of producing a triangular cross-section when sliced both parallel and perpendicular to its base is a cone.
A cone is a solid that has a circular base and a single vertex. When a cone is sliced parallel to its base, the cross-section is a circle. When a cone is sliced perpendicular to its base, the cross-section is a triangle, specifically a right triangle. The right triangle results from the slice passing through the vertex and the base of the cone.
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Bill says that he can add 23 and 40 without regrouping. Is bill correct? How do you know?
write the equation of the parabola below
A function is a relationship that maps__.
A) many inputs to many outputs or one input to one output
B) many inputs to many outputs or many inputs to one output
C) one input to many outputs or one input to one output
D) one input to one output or many inputs to one output
Solution:
A function is always a relation but a relation is not always a fucntion.
For example
we can make a realtion of student roll number and their marks obtained in mathematics.
So we can have pairs like (a,b), (c,d)..etc.
Its a realtion but it may not be function. Because function follows that for same input there should not be diffrent output, aslo there could be many inputs to one output in the case of constant function . But this doesn't holds a necessary condition in case of relation.
Because two diffrent students with two diffrent Roll number may have same marks.
Hence the foolowing options holds True in case of a function.
A) many inputs to many outputs or one input to one output.
D) one input to one output or many inputs to one output.
Answer:
The correct answer is D. A function is when an input has one output. An input can only have one output but an output can have multiple inputs. Hope this helps!
You and your friend are standing back to back. Your friend runs 20 feet forward and then 15 feet right. At the same time, you run 12 feet forward and then 9 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball
The area of a rectangular knitted blanket is 15x2-14x-8. What are the possible dimensions of the blanket? Use factoring.
Final answer:
The area of a rectangular blanket is 15x² - 14x - 8, and by factoring this expression, we find the possible dimensions to be (5x + 2) units by (3x - 4) units. The variable x represents a dimension and must be a positive value so that the actual dimensions are also positive.
Explanation:
The student is asking about the possible dimensions of a rectangular knitted blanket whose area is given by the polynomial 15x² - 14x - 8. To find the dimensions of the blanket, we need to factor this quadratic expression. Factoring is the process of breaking down a complex expression into simpler ones that, when multiplied together, give the original expression.
Let's factor the given expression:
Find two numbers whose product is 15 (coefficient of x²) multiplied by -8 (constant term) and whose sum is -14 (coefficient of x). These numbers are -20 and +6.Rewrite the middle term (-14x) using the numbers found: 15x² - 20x + 6x - 8.Factor by grouping: (15x² - 20x) + (6x - 8) = 5x(3x - 4) + 2(3x - 4).The expression can now be factored as (5x + 2)(3x - 4).The factored form suggests that the rectangle's dimensions could be (5x + 2) units by (3x - 4) units, where x is a variable representing one of the dimensions. However, since the values of x need to make physical sense in the context of a blanket's size, x will need to be a positive value such that (5x + 2) and (3x - 4) are also positive.
Evaluate. 6+5|4-3^2| A. -19 C. 31 D. 55
Answer:
6 + 5|4 - 3²| =
6 + 5|4 - 9| =
6 + 5|-5| =
6 + 5(5) =
6 + 25 = 31
The correct answer is C.
What is the area of the triangle in this coordinate plane? 9.0 units² 14.0 units² 16.5 units² 24.5 units² A graph with a triangle drawn on it
Going against the current, a boat takes 7 hours to make a 120 mile trip. When the boat travels with the current on the return trip, it takes 4.5 hours. If x is the speed of the boat is still water and y is the speed of the current, which of the following system of equations could be used to solve the problem?
The system of equations that could be used to solve the problem is 7(x - y) = 120; 4.5(x + y) = 120. option A
which of the following system of equations could be used to solve the problem?
If
x is the speed of the boat is still water
y is the speed of the current
7(x - y) = 120
4.5(x + y) = 120
Therefore, the system of equation can be rewritten as;
7x - 7y = 120
4.5x + 4.5y = 120
Complete question:
Going against the current, a boat takes 7 hours to make a 120 mile trip. When the boat travels with the current on the return trip, it takes 4.5 hours. If x is the speed of the boat is still water and y is the speed of the current, which of the following system of equations could be used to solve the problem?
A. 7(x - y) = 120; 4.5(x + y) = 120
B. 7(x + y) = 120; 4.5(x + y) = 120
C. 7(x - y) = 120; 4.5(x - y) = 120
D. 7(x + y) = 120; 4.5(x + y) = 120
PLZ HELP!
at the apple orchard workers were asked to put 100 apples in barrels. the following five were filled incorrectly. if the supervisor wrote +5 above a barrel, it meant that the barrel was 5 apples over, -5 meant that a barrel was 5 apples less than 100.
How many TOTAL apples are i the five barrels?
a -480 apples
b 498 apples
c 500 apples
d 520 apples
Write an equition that expresses y in terms of x
-(m-6)=3m+14 what is m
What is the value of G in the center and how do you solve it?
maurice has a string that is 15 inches long. he has beads that are 3 inches long. how many beads will fit on the string?
an art easel with equal sides are opened and placed on a desk, classify the type of triangle formed by the easel and the desk