Answer:
3.Events A and B are not independent because P(A|B) ≠ P(A).
Step-by-step explanation:
Given this information, which statement is true?
1.Events A and B are independent because P(A|B) = P(A).
2.Events A and B are independent because P(A|B) ≠ P(A).
3.Events A and B are not independent because P(A|B) ≠ P(A).
4.Events A and B are not independent because P(A|B) = P(A).
Solution:
Two events A and B are independent if A occurring does not change the probability of B. For independent events:
P(A ∩ B) = P(A) * P(B)
Hence: P(A/B) = P(A ∩ B) / P(B) = P(A) * P(B) / P(B) = P(A)
Let event A represent the probability that roger wins a tennis tournament and event B represent the probability that Stephan wins a tennis tournament.
Therefore:
P(A) = 0.45, P(B) = 0.4
The probability of Roger winning the tournament, given that Stephan wins, is 0. Hence, P(A/B) = 0
P(A/B) = P(A∩B) / P(B)
0 = P(A∩B) / 0.4
P(A∩B) = 0
The probability of Stephan winning the tournament given that Roger wins, is 0. Hence P(B/A) = 0
P(B/A) = P(B∩A) / P(A)
0 = P(B∩A) / 0.4
P(B∩A) = 0
Therefore since P(A∩B) = P(B∩A) =0, this means that event A and event B are mutually exclusive. That is both events cannot occur at the same time.
Events A and B are not independent because P(A|B) ≠ P(A).
select the expression that represent the following statement: add 24 to the quotient of 16 and 8.
16 × 8 + 24
(16 ÷ 8) + 24
24 - 8 + 16
(16 - 8) + 24
Answer:
[tex](16\div8)+24[/tex]
Step-by-step explanation:
The quotient of 16 and 8 is [tex]16\div8[/tex]. Adding 24 to this value results in [tex](16\div8)+24[/tex].
Square pyramid A and square pyramid B are similar. Their respective heights are 6 and 15 inches. The volume of pyramid B is 312.5 cubic inches. What is the volume of pyramid A?
The volume of pyramid A is 20 cubic inches.
Given that:
Height of pyramid of A and B are 6 and 15 inches, respectively.
Since square pyramid A and square pyramid B are similar, their corresponding sides are proportional.
Let the volume of pyramid A be V and the scale factor between the two pyramids be k.
The volume of a pyramid is given by V = (1/3) × base area × height.
Since the base of pyramid B is k times the base of pyramid A, and the height of pyramid B is also k times the height of pyramid A, we can set up the following relationship:
V(B) = k³ × V(A)
Given that the height of pyramid A is 6 inches and the height of pyramid B is 15 inches, we can calculate the scale factor k as follows:
k = height of B / height of A = 15 / 6 = 2.5
Now, we know the scale factor k, and we are given the volume of pyramid B as 312.5 cubic inches. We can find the volume of pyramid A:
V(B) = k³ × V(A)
312.5 = 2.5³ × V(A)
312.5 = 15.625 × V(A)
Now, solve for V(A):
V(A) = 312.5 / 15.625
V(A) = 20
The volume of pyramid A is 20 cubic inches.
Learn more about Pyramid here:
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Anybody know this? Need help
Answer:
ill give my honest opinion i dont know
Step-by-step explanation:
Solve using quadratic equation by factoring.
x^2+8x=65
Answer:
-13, 5
Step-by-step explanation:
See image below:)
Turn the word problem into an inequality. "There were at least 250 students at the dance."
Answer:
x ≥ 250
Step-by-step explanation:
i think thats what it is, but i could be wrong. sorry if i am.
whats the answer? pls help,
x + 8 > 13 = ?
Answer:
x=5
Step-by-step explanation:
Beverly wants to list the following numbers in order from greatest to least l. Place the rational number in order from greatest to least? 1/6 6% 0.012 1/12
Answer:
0.012, 1/12 , 6% , 1/6
Step-by-step explanation:
To put these numbers in order, you need to first put them in the same form. Let's turn them all into decimal form.
* To put fractions in decimal form you need to divide the numerator into the denominator.
* To put a percent into a fraction you need to understand that this percent is out of 100. ex: 6% = 6/100 , 3% = 3/100 11% = 11/100. so in order to put the new fraction into a decimal, you put it in the correct decimal place. This is wrong 6/100 = .60 this reads 6 tenths so we need to go over a decimal place.
This is correct 6/100 = .06 This is 6 tenths.
So let's go through: _
1 divided by 6 equals 0.16
6% is equal to .06
0.012 is already in decimal form 0.012 _
1 divided by 12 equals 0.083
#Always remember you have to put the numbers in the original form that they were given.
# Also the more decimal places a number has behind the decimal the less the number
Ex: 0.012 > 0.011 Even though these have the same decimal place 0.012 is greater because it's a greater number.
0.12 > 0.012
I WILL GUVE BRAINIEST I NEED ASAP.
A car has 4 cylinders that each have a radius of 4cm and a height of
10. Use 3.14 for pi. Find the volume of a cylinder, solve for the total
volume of the engine in cubic centimeters, then round to the nearest
cubic centimeter.
Answer:
What I got for my answer for one of the cylinders is 502.65
I hope I helped :3 Let me know if your confused on it or need something done plz I will gladly help ^w^
16. Audrey bought 4 yards of red fabric
, 2 yards of white, and 1 yards of blue. What is the
total amount of yards that she purchased?
Answer:
Audrey bought 7 yards.
Step-by-step explanation:
Just add 4+2+1 because those are what colors she bought, but all together she bought 7 yards of all colors.
please someone help me on this daosjdoaisjfseughoe
Answer:7,500
Step-by-step explanation:
no way she gonna make 70 k in a year with that percentage
If a number is selected at random from the first 50 natural numbers,what will be the probability that the selected number is a multiple of 3 and 47.
Add working steps :)
Find the value of the indicated angle.
Answer:
leg = 1
hypotenuse = √2 or 1.41
Step-by-step explanation:
A square has an area of 81 square feet. Select all the expressios that equal the side length of the square, in feet
A.81/2
B.√81
C.9
D.√9
E.3
Pls help I have until 2:30
HELPPPPPPPPPPPPPP
A student needed to find the measure of angle b. He incorrectly said m
btw 54% angle a
Answer:
do you have any pictures?
Step-by-step explanation:
Solve for x (5x +40) A. AB. BC, AC B. BC. AC. AB C. AC. AB. BC (7x+8) (10x) с A D. BC. AB. AC Which of the following lists the sides in order from shortest to longest?
Answer:
D
Step-by-step explanation:
The shortest side is the side opposite the smallest angle, the longest side is opposite the largest angle.
First find the measure of the angles in the triangle.
The sum of the 3 angles = 180° then
5x + 40 + 10x + 7x + 8 = 180
22x + 48 = 180 ( subtract 48 from both sides )
22x = 132 ( divide both sides by 22 )
x = 6
Then
∠ A = 7x + 8 = 7(6) + 8 = 42 + 8 = 50°
∠ B = 5x + 40 = 5(6) + 40 = 30 + 40 = 70°
∠ C = 10x = 10(6) = 60°
The shortest side is opposite ∠ A , that is BC
The longest side is opposite ∠ B , that is AC
The sides in order from shortest to longest are
BC, AB, AC → D
The equation: 2x + y = -10
-2x -y = 10
Will the X’s or Y’s eliminate?
A) X’s
B) Y’s
C) Both
Answer:
A
Step-by-step explanation:
Zaire is making granola bars. For one batch of bars, the recipe requires 1 2/3 cups of rolled oats, and 1/2 cups of raisins. What is the combined amount, in cups, of rolled oats and raisins that is used in one batch of granola bars?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Find the slope intercept form.
Answer:
y = 3x + 9
Step-by-step explanation:
y = 3x + 6
Parallel slope = 3
(-2, 3)
Slope-intercept:
y - y1 = m(x - x1)
y - 3 = 3(x + 2)
y - 3 = 3x + 6
y = 3x + 9
Help meeeeeEEEEEEEEEEEEEEEEEEE
Answer:
1.2
Step-by-step explanation:
0.2 x 6 = 1.2
Answer:
1.2
Step-by-step explanation:
0.12 looks like the correct answer but its not because if you look at the problem its 0.2 and 0.12 is smaller than 0.2 so its 1.2 because 0.2 x 6 = 1.2
Hope this helps! Please tell me any questions or concerns in the comments! Byeee <3
PLZ ANSWER WILL GIVE BRAINLIEST *NO LINKS*
Answer:
6/20 prescient chance to get a green marble and a 8/19 chance to get a purple one
Step-by-step explanation:
A machine packages bags of almonds. The weights of the bags are normally distributed with a mean of 14 ounces and a standard
deviation of 1.2 ounces.
Enter the Z-score of a bag of almonds that weighs 12.2 ounces.
Answer: -1.5
Step-by-step explanation:
took the test
The z-score of a bag of almonds weighing 12.2 ounces will be negative 1.5.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
A machine packages bags of almonds.
The weights of the bags are normally distributed with a mean of 14 ounces and a standard deviation of 1.2 ounces.
Then the z-score of a bag of almonds weighing 12.2 ounces will be
z-score = (x - mean) / SD
z-score = (12.2 - 14) / 1.2
z-score = -1.8 / 1.2
z-score = -1.5
More about the normal distribution link is given below.
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How many DVDs can you buy with $192 if one DVD costs $16?”
Answer:
You could buy 12 DVDs when one DVD costs $16.
Step-by-step explanation:
192 / 16 = 12
Select the equivalent expression.
(54.6-10) “ =?
Choose 1 answer:
54. 660
524.860
360
524
Answer:
©
[tex]( {5}^{4} . { {b}^{ - 10}) }^{ - 6} = ( {5}^{4. - 6} ).( {b}^{ - 10. - 6} ) \\ = {5}^{ - 24} . {b}^{ 60} \\ = \frac{ {b}^{60} }{ {5}^{24} } [/tex]
A disc has a diameter of 23 cm. The inner hole in the disc has a radius of 2 cm. Find the circumference of both the inner hole and the entire disc. Round to the nearest whole centimeter.
Answer:
Inner hole: 13 cm; Whole disc, 72 cm
Step-by-step explanation:
Connexus 2021
three members d,m,n are in the ratio 3:6:4.find the value of 4m-m over m+2n
Answer:
D : M : N
3 : 6 : 4
4M-M= 4(6)-6= 24-6= 18
M+2N= 6+2(4)= 6+8= 14
write five rational number which are smaller than 2
Answer:
The numbers can be -4, -3, -2, -1, and 1
a square with a side of 2 cm is dilated by a factor of 7/3 what is the side length of the dilated figure?
Answer:
14/3 cm
Step-by-step explanation:
The lengths of sides of a figure get multiplied by the dilation factor. The dilated square has side length 2 x 7/3 = 14/3.
3 questions in 1
1. The set of data below represents test scores for 20 students on a final exam.
What are the outliers in the data set?
[Hint: Lower Limit = Q 1 – 1.5(IQR) ; Upper Limit = Q 3 + 1.5(IQR)]
2. The set of data below represents test scores for 20 students on a final exam. What is the value of Q 1?
3. The set of data below represents test scores for 20 students on a final exam. What is the value of Q 3?
Answer:
1. D. 20, 30, and 50
2. A. 86
3. B. 94
Step-by-step explanation:
1. To find the outliers of the data set, we need to determine the Q1, Q3, and IQR.
The Q1 is the middle data in the lower part (first 10 data values) of the data set (while the Q3 is the middle data of the upper part (the last 10 data values) the data set.
Since it is an even data set, therefore, we would look for the average of the 2 middle values in each half of the data set.
Thus:
Q1 = (85 + 87)/2 = 86
Q3 = (93 + 95)/2 = 94
IQR = Q3 - Q1 = 94 - 86
IQR = 8
Outliers in the data set are data values below the lower limit or above the upper limit.
Let's find the lower and upper limit.
Lower limit = Q1 - 1.5(IQR) = 86 - 1.5(8) = 74
The data values below the lower limit (74) are 20, 30, and 50
Let's see if we have any data value above the upper limit.
Upper limit = Q3 + 1.5(IQR) = 94 + 1.5(8) = 106
No data value is above 106.
Therefore, the only outliers of the data set are:
D. 20, 30, and 50
2. See explanation on how to we found the Q1 of the given data set as explained earlier in question 1 above.
Thus:
Q1 = (85 + 87)/2 = 86
3. Q3 = (93 + 95)/2 = 94
You choose a movie at random from a list containing 8 comedy movies, 5 science fiction movies, and 7 adventure movies. What is the theoretical probability that the movie is not a comedy?
Select all that apply.
0.60
0.60
50%
50%
252 fifths
353 fifths
60%
Determine the area of the trapezoid
a. 16
b. 32
c. 24
d.8