Use the two way table below to answer the question given.
Favor Do not favor
No opinion
Male
20
15
17
Female
18
12
Are the events 'male' and 'favor independent?
Answers
Answer:
Not independent
Step-by-step explanation:
Given
See attachment for two way table
Required
Are male and favor independent?
From the table, we have:
[tex]Male = 20+15+17[/tex]
[tex]Male = 52[/tex]
[tex]Favor = 20 + 18[/tex]
[tex]Favor = 38[/tex]
[tex]Total = 20+15+17+18+12+7[/tex]
[tex]Total = 89[/tex]
Calculate P(Male)
[tex]P(Male) = \frac{Male}{Total}[/tex]
[tex]P(Male) = \frac{52}{89}[/tex]
Calculate P(Favor)
[tex]P(Favor) = \frac{Favor}{Total}[/tex]
[tex]P(Favor) = \frac{38}{89}[/tex]
Calculate P(Male and Favor)
[tex]P(Male\ and\ Favor) = \frac{Male\ and\ Favor}{Total}[/tex]
[tex]P(Male\ and\ Favor) = \frac{20}{89}[/tex]
[tex]P(Male\ and\ Favor) = 0.2247[/tex]
The events are independent is:
[tex]P(Male\ and\ Favor) =P(Male) * P(Favor)[/tex]
So, we have:
[tex]P(Male\ and\ Favor) =\frac{52}{89} * \frac{38}{89}[/tex]
[tex]P(Male\ and\ Favor) =\frac{52*38}{89*89}[/tex]
[tex]P(Male\ and\ Favor) =\frac{1976}{7921}[/tex]
[tex]P(Male\ and\ Favor) =0.2495[/tex]
By comparison:
[tex]P(Male\ and\ Favor) =0.2495[/tex] and [tex]P(Male\ and\ Favor) = 0.2247[/tex] are not equal
Hence, the events are not independent
Related Questions
25/23 to the nearest hundred
Answers
Answer:
1.09 is the answer for the question
Answer:
1.09
Step-by-step explanation:
25/23 to the nearest hundred is mean to round up the decimal points.
25/23= 1.08695652174.
1.08695652174 to the nearest hundred would be 1.09.
Please give the brainliest! :D
Mary noticed 5 ants in her pantry on Monday. On Tuesday she counted 15 ants in the pantry. On Wednesday she counted 45 ants in the pantry.
Part A
Determine an exponential function model to represent the number of ants in the pantry in terms of the number of elapsed days. Explain how you arrived at your model.
Part B
Using your exponential model predict how many ants would be in the pantry by Friday if the trend continues. Explain if your response is reasonable.
Part C
Does the problem situation represent exponential growth or decay? Justify your reasoning.
Answers
What is the name of this polygon?
A.trapezoid
B.square
C.rectangle
D.rhombus
Answers
Due to budget cuts the Fire Department only has one ladder which is 35 feet long. While rescuing a damsel from a burning house the ladder must be 12 feet from the base of the house. How high up the house can the ladder reach?
a. Draw a diagram that models the situation. Be sure to label it.
b. Write an equation that models the situation and solve it.
Answers
Answer:
good luck always brings luck the answer is 12
Step-by-step explanation:
Plz help me well mark brainliest if correct......???
Answers
Answer:
208
Step-by-step explanation:
112+96=208
enjoy the points :D eeeeeeeeeeeeee
Answers
Answer:
Thanks for the points :DStep-by-step explanation:
Also, the answer is C.HOPE IT HELPS
(FROM CROSS)
Answer:
yey
Step-by-step explanation:
2. Which sequence of transformations takes the graph of y = k(x) to the graph of
y=-k(x + 1)?
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of
B. Translate 1 to the left, scale vertically by , then reflect over the x-axis.
C. Translate left by , then translate up 1.
D. Scale vertically by z, reflect over the y-axis, then translate up 1.
Answers
Answer:
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1
Step-by-step explanation:
Initially:
We have the function [tex]y = k(x)[/tex]
k(x + 1)
To translate a function k(x) a units to the left, we find k(x + a).
Thus, k(x+1) is the translation of k(x) 1 unit to the left.
-k(x+1)
Multiplying a function by a negative constant is the same as reflecting it over the x-axis, and then scaling it vertically by a factor of the constant.
Thus:
The answer is given by option A:
A. Translate 1 to the right, reflect over the x-axis, then scale vertically by a factor of 1
Solve the following system algebraically.
y = x2 +x
y = -x - 1
A) (-2,3)
B) (-1,0)
C) (0,0)
D) (-5,2)
Answers
Answer:
B
Step-by-step explanation:
-x - 1 = x^2 + x
x^2 + 2x + 1 = 0
(x+1)(x+1) = 0
x = -1 (double soution)
y = 1-1 =
y =0
(-1,0) = double solution
If Samuel travels twenty kilometers north, fifty kilometers south, and forty kilometers west, what is the approximate magnitude of his total displacement, in kilometers? Find the solution by drawing a diagram. km
Answers
Answer:
108.75km
Step-by-step explanation:
please find attached the diagram
total displacement can be determined by using Pythagoras theorem
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
length of x =
20² + 40²
= 400 + 1600
2000
square root of 2000
= 44.72km
length of y
40² + 50²
1600 + 2500 = 4100
square root of 4100
64.03km
total displacement = 44.72 + 64.03 = 108.75
Find the surface area of the rectangular prism
Answers
9. Which of the following side lengths would create a triangle?
A. 3cm, 5cm, 8cm
B. 6cm, 7cm, 12cm
C. 9cm, 9cm, 19cm
D. 10cm, 5cm, 4cm
Answers
Answer:
C. 9cm, 9cm, 19cm
Step-by-step explanation:
For which value of a does lim g(x) not exist?
x-a
Answers
Answer:
X value de correct answer
Based on the graph of the given limit of a function, the value for which [tex]\lim_{x \to a} g(x)[/tex] doesn't exist is equal to -3.
What is a limit?A limit can be defined as a numerical value which a function approaches (output) as the input value approaches other values. In Mathematics, limits are typically used to determine the following:
IntegralsDerivativesContinuityFor the right-hand limit, we have:
[tex]\lim_{x \to -3^{+}}[ -3 + 1] = -2[/tex]
For the right-hand limit, we have:
[tex]\lim_{x \to -3^{-}} [-3 - 1] = -4[/tex]
By critically observing the graph of the given limit of a function, we can logically deduce that -3 is the value for which [tex]\lim_{x \to a} g(x)[/tex] doesn't exist because the right-hand limit and left-hand limit are not the same (different).
Read more on limit here: https://brainly.com/question/23343679
#SPJ6
Which equation represents a line which is parallel to the x-axis?
Answers
Answer:
3?
Step-by-step explanation:
A marketing person prepares several cups of cola labeled "A" and "B". One set of cups has Pepsi, the others have Coca-Cola. The marketing person knows which soda is in which cup but is not supposed to reveal that information to the subjects.
Comparison:
Random assignment:
Control: is the
Replication:
Double Blind Experiment:
Is this a blind experiment or a double blind experiment? Why or why not?blind experiment because
Answers
EITHER WAY UR BLIND LOL
A rectangle's length is twice its width.
If its perimeter is 288 cm, find the length.
Answers
Answer:
96cm
Step-by-step explanation:
If the width is x then length is 2x
so,
x+x+2x+2x=288
6x=288
x=48
length is 48cm
3.(-48)÷ 48=_____ class 7th Chapter integer
Answers
Answer:
3. (-48) devide 48 = -1 class 7th Chapter integer
The answer is : -1
# GOOD LUCKFind the slope mathematics
Answers
explanation:
the slope intercept form is y = mx+b, where m is the slope and b is the y-intercept.
jessica makes 12 batches of cookies to drop off at schools. Each school received 1 1/2 batches of cookies. How many school did Jessica take cookies to? *
Answers
Answer:
8
Step-by-step explanation:
12/1.5 is 8
you divide the total amount (12) by how much you're giving out (1.5 or 1 1/2) to find how many even groups can get a share
no fake answers only real pls
Answers
Answer:
15.19 cm
Step-by-step explanation:
a^2 + b^2 = c^2
c = longest side
a^2 + 13^2 = 20^2
a^2 + 169 = 400
a^2 = 231, a = squareroot 231
Solution: x = 15.19 cm
help solve for angle A
Answers
[tex]\huge{ \mathfrak{ \underline{ \underline{Answer }}\: \: ✓ }}[/tex]
The given Angles are Alternate Exterior Angle pair, so their measures will be equal :
[tex]6x - 2 = 4x + 48[/tex][tex]6x - 4x = 48 + 2[/tex][tex]2x = 50[/tex][tex]x = 25[/tex]Now,
[tex] \large{ \boxed{\angle A = 6x - 2}}[/tex]
[tex]\angle A = (6 \times 25) - 2[/tex][tex]\angle A = 150 - 2[/tex][tex]\angle A = 148°[/tex]Therefore Value of [tex]\angle A = 148°[/tex]
_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
Answer:
∠A= 148°
Step-by-step explanation:
∠A= ∠B
[tex]6x-2=48+4x[/tex][tex]2x=50[/tex][tex]x=25[/tex]∠A= 6x-2
[tex]150-2[/tex][tex]148[/tex]---------------------
hope it helps..
have a great day!!
I need help! Please answer this quick!
Answers
Answer:
2.85 in²
Step-by-step explanation:
Area of triangle = 1/2 x base x height
1/2 x 1.9 x 3 = 2.85 in²
Which is equivalent to 3/84"?
Answers
Answer:
[tex]\sqrt[12]{8} ^x[/tex]
Step-by-step explanation:
[tex]3 / \frac{1}{4} = 12[/tex]
Which interval is the graph of the parent absolute vale function f(x)=|x| decreasing
Answers
Answer:
(-∞,0)
Step-by-step explanation:
The graph of ƒ(x) = |x| is below.
The function is decreasing on (-∞,0) .
A is wrong. The function both decreases and increases on (-∞,∞).
C is wrong. The function is decreasing on (-6,0), but that is only a portion of the interval.
D is wrong. the function is increasing on (o,∞)
Can 9.48 be the probability of an outcome in a sample space?
Answers
9514 1404 393
Answer:
No
Step-by-step explanation:
A probability is a unitless value between 0 and 1, inclusive. 9.48 cannot be a probability (too big). 0.4 acres cannot be a probability (has units).
A) What is the probability that when using an unfair coin, with a head = 1/5 and a tail =4/5:
1) you get the third head on the 5th toss?
2) that you get the expected number of heads you will get when you toss the coin six times?
B) What is the probability that when using an unfair coin, with a head = 3/5 and a tail =2/5:
1) If you toss the coin 5 times, what is the probability that you will get 2heads and 3 tails?
2) What is the expected number of heads you will get when you toss the coin six times?
Answers
Answer:
A)
1) 0.03072 = 3.072% probability you get the third head on the 5th toss.
2) The expected number of heads you will get when you toss the coin six times is 1.2.
B)
1) 0.2304 = 23.04% probability that you will get 2 heads and 3 tails.
2) The expected number of heads you will get when you toss the coin six times is 3.6.
Step-by-step explanation:
For each coin, there are only two possible outcomes. Either it is tails, or it is heads. The probability of a toss being heads or tails is independent of any other toss. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is E(X) = np.
Item A:
1) you get the third head on the 5th toss?
1/5 probability of heads, so [tex]p = \frac{1}{5} = 0.2[/tex]
This is two heads on 4 tosses(P(X = 2) when n = 4) and then head on the 5th toss, with 0.2 probability. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.2)^{2}.(0.8)^{2} = 0.1536[/tex]
0.1536*0.2 = 0.03072
0.03072 = 3.072% probability you get the third head on the 5th toss.
2) that you get the expected number of heads you will get when you toss the coin six times?
Six tosses means that [tex]n = 6[/tex]. So
[tex]E(X) = np = 6*0.2 = 1.2[/tex]
The expected number of heads you will get when you toss the coin six times is 1.2.
Question B:
3/5 probability of heads, which means that [tex]p = \frac{3}{5} = 0.6[/tex]
1) If you toss the coin 5 times, what is the probability that you will get 2heads and 3 tails?
This is P(X = 2) when n = 5. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.6)^{2}.(0.4)^{3} = 0.2304[/tex]
0.2304 = 23.04% probability that you will get 2 heads and 3 tails.
2) What is the expected number of heads you will get when you toss the coin six times?
Six times means that [tex]n = 6[/tex]. So
[tex]E(X) = np = 6(0.6) = 3.6[/tex]
The expected number of heads you will get when you toss the coin six times is 3.6.
A marathon had 567 runners registered. Of these runners, about 0.7% completed the race in under 2 h 12 min. How many runners completed the race in this time?
Answers
Answer:
3
Step-by-step explanation:
Judith randomly selected 20% of the
seventh-grade students in her school
and asked them their favorite genre of
music. Of these students surveyed 41
chose pop music as the favorite music
genre. Based on the data, what is the
most reasonable prediction of the
number of seventh-grade students in
her school who would choose pop
music as their favorite genre?
Group of answer choices
60
80
200
160
Answers
Answer:
200
Step-by-step explanation:
41 x 5 = 205
20% x 5 = 100%
Which expression is equivalent to 4/5 x 4-3?
Answers
Answer:
4 / 5
Step-by-step explanation:
From end zone to end zone
a football field is 120 yards long how long is a football field in feet
Answers
Answer:
360 ft
Step-by-step explanation:
1 yard = 3 feet
120x3 = 360
Brainliest?
Find the common ratio of the geometrie sequence 6, 24, 96,
Answers
Answer:
4
Step-by-step explanation:
To find the common ratio, take the second term and divide by the first term
24/6 = 4
Check by taking the third term and dividing by the second term
96/24 = 4
The common ratio is 4