Answer:
0.75 = 75% probability that she knewthe answer to that question
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Answered correctly.
Event B: Knew the answer.
Probability of answering correctly:
0.5(knows the answer)
1/3 of 1 - 0.5 = 0.5(didn't know but guessed correctly). So
[tex]P(A) = 0.5 + 0.5\frac{1}{3} = 0.6667[/tex]
Probability of answering correctly and knowing the answer:
0.5, which means that [tex]P(A \cap B) = 0.5[/tex].
What is the probability that she knew the answer to that question?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.5}{0.6667} = 0.75[/tex]
0.75 = 75% probability that she knewthe answer to that question
Answer please and explain
the bots are on a roll today
Answer:
YESSSSS
Step-by-step explanation:
Meredith must order the cards from greatest to least. Which list is correct? -1.5 -1.05 -1.55 -1.0 A -1.55 -1.5 -105-10 B. -1.0, -1.05 -1.55 -1.5 C. -1.0, -1.05, -1.5, -1.55 D. I-1.5, -7.55, -1.0, -1.05 show ur work
What is the probability of flipping a coin twice and landing on heads both times?
a. 12.5%
b. 25%
c. 50%
d. 75%
e. 100%
Answer:
I think it would be B.
Step-by-step explanation:
Since you aready have a 50% chance of landing on both heads or tails once. To land it on heads twice you would have a twenty five percent chance if you look at logic. in which my dad would often say. Please mark the brainliest
30 POINTS! HELP!!
The table shows the probability distribution of siblings of students in a high school with 1500 students. What is the expected value for the number of siblings of a randomly chosen student?
A. 2.5
B. 1.29
C. 1.08
D. 1.11
The expected value for the number of siblings of a randomly chosen student is 1.11.
What is expected value mean?"In a probability distribution, the weighted average of possible values of a random variable, with weights given by their respective theoretical probabilities, is known as the expected value".
For the given situation,
The table shows the probability distribution of siblings of students in a high school with 1500 students.
For number of siblings = 0, Probability = 0.18.
For number of siblings = 1, Probability = 0.65.
For number of siblings = 2, Probability = 0.09.
For number of siblings = 3, Probability = 0.05.
For number of siblings = 4, Probability = 0.02.
For number of siblings = 5, Probability = 0.01.
The formula for expected value mean, E(x) = ΣxP(x)
[tex]E(x)=(0)(0.18)+(1)(0.65)+(2)(0.09)+(3)(0.05)+(4)(0.02)+(5)(0.01)[/tex]
⇒ [tex]E(x)=1.11[/tex]
Hence we can conclude that the expected value for the number of siblings of a randomly chosen student is 1.11.
Learn more about expected value here
https://brainly.com/question/24015851
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What is the value of x?
103‾√
10
53‾√
5
Answer:
53‾√
Step-by-step explanation:
give brainliest pls and thank you
Which letter corresponds to the base?
Which letter corresponds to the slant height?
Which letter corresponds to the height?
Answer:
letter corresponds to the base=b
letter corresponds to the slant height=s
letter corresponds to the height=,h
Find the slope and the y-intercept of the line y=6x-3
Answer:
-18
Step-by-step explanation:
y=6x-3
6x-3=-18
-18=6x-3
Answer:
intercept: -3
slope: 6
Step-by-step explanation:
The number in the back and the operations are the y-intercept and the number multiplied by x is the slope.
Pam flips a coin 12 times. The coin lands on heads 8 times. What is the theoretical
probability of landing on heads on the next flip?
Answer:
If a coin is tossed 12 times, the maximum probability of getting heads is 12. But, 12 coin tosses leads to 212 , i.e. 4096 number of possible sequences of heads & tails.
Step-by-step explanation:
Answer:
8/13
Step-by-step explanation:
Pam flips a coin 12 times. The coin lands on heads 8 times. What is the theoretical
probability of landing on heads on the next flip?
well it would be 8 and 13
Solve the system by substitution.
y = 3x + 28
y = -4x
Answer:
(-4, 16)
Step-by-step explanation:
i need solution to these two questions please
Answer:
Step-by-step explanation:
4). Given functions are,
[tex]f(x)=\frac{1}{3x}[/tex]
For [tex]x=\frac{1}{12}[/tex]
[tex]f(\frac{1}{12})=\frac{1}{3(\frac{1}{12})}[/tex]
[tex]=\frac{1}{\frac{1}{4}}[/tex]
[tex]=1\times\frac{4}{1}[/tex]
[tex]=4[/tex]
[tex]g(x)=\frac{1}{x^2}[/tex]
For [tex]x=\frac{1}{5}[/tex],
[tex]g(\frac{1}{5})=\frac{1}{(\frac{1}{5})^2}[/tex]
[tex]=\frac{1}{\frac{1}{25}}[/tex]
[tex]=25[/tex]
[tex]f(\frac{1}{12})-g(\frac{1}{5})=4-25[/tex]
[tex]=-21[/tex]
5). f(x) = -2x² + 3x - 8
f(k + 4) = -2(k + 4)² + 3(k + 4) - 8
= -2(k² + 8k + 16) + 3(k + 4) - 8
= -2k² - 16k - 32 + 3k + 12 - 8
= -2k² - 13k - 28
Solve the system of equations.
y= x + 3
y= x2 - 2x-1
Please help :)
9514 1404 393
Answer:
C. (-1, 2) and (4, 7)
Step-by-step explanation:
It may be simplest just to try the answer choices.
We notice that y = x+3 is not satisfied by the points in choices A or D, so those can be eliminated.
__
The second equation can be written in vertex form as ...
y = (x -1)^2 -2
This equation is not satisfied by the points of choice B.
Using (-1, 4) (from choice B), we get 4 = (-1-1)^2 -2 = 4-2 = 2 . . . FALSE.
However it is a good match for the points of choice C.
Using (-1, 2) (from choice C), we get 2 = (-1-1)^2 -2 = 4 -2 = 2 . . . True
The appropriate choice is ...
(-1, 2) and (4, 7)
PLEASE HELP WILL MARK BRAINLEIST!!!!! 25 POINTS
Answer:
C. 7
Step-by-step explanation:
8/4 =2
2^3 is 8
4+8=12
12-5=7
Hope this helps!
Which angle had a positive measure?
Answer:
the second angle
sorry if wrong
Step-by-step explanation:
A simple random sample of electronic components wil be selected to test for the mean lifetime in hours. Assume that component lifetimes are normally distributed with population standard deviation of 16 hours. How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours
Answer:
189 components must be sampled.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Assume that component lifetimes are normally distributed with population standard deviation of 16 hours.
This means that [tex]\sigma = 16[/tex]
How many components must be sampled so that a 99% confidence interval will have margin of error of 3 hours?
n components must be sampled.
n is found when M = 3. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]3 = 2.575\frac{16}{\sqrt{n}}[/tex]
[tex]3\sqrt{n} = 2.575*16[/tex]
[tex]\sqrt{n} = \frac{2.575*16}{3}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*16}{3})^2[/tex]
[tex]n = 188.6[/tex]
Rounding up:
189 components must be sampled.
find the area of the figure
Answer: A=144
Step-by-step explanation:
A=a^2=12^2=144 I hope this helps sorry if it doesn't. :)
The amount that Gretchen charges for babysitting is proportional to the number of hours she babysits. She charges $18 to babysit for
1.5 hours
Which equation relates the amount Gretchen charges in dollars, c, and the amount of time in hours that she babysits, h?
Answer:
Gretchen charges $12 dollars per hour
Step-by-step explanation:
$18/1.5=$12
The table shows a linear relationship between x and y.
Answer:
slope=-9/2
y int- 6
Step-by-step explanation:
okay lets take two points
-2,15 and -6,33
the slope is 33-15/ -6-(-2)= 18/-4=-9/2
equation is y=mx+b where m is slope and b is y intercept
so plugging values in we get
15=-2(-9/2)+b
15=9+b
b=6
Jason Is vacationing on the beach and wants to rent an ATV. The table below shows the cost of renting an ATV Including the helmet. What would be the cost of the helmet?
A. $15
B. $20
C. $25
D. $30
Lalasa and Yasmin are designing a triangular banner to hang in the school gymnasium. They first draw the design on paper. The triangle has a base of 5 inches and a height of 7 inches. If 1 inch on the drawing Is equivalent to 1.5 feet on the actual banner, what will the area of the actual banner be? A 52.5 ft2 B 17.5 ft2 39.375 ft2 D 78.75 ft2
Find the actual Dimensions of the triangle.
Multiply the size of the triangle on paper by 1.5 feet per inch:
Width = 5 x 1.5 = 7.5 feet.
Height= 7 x 1.5 =10.5 feet
Area of a triangle is 1/2 x base x height:
Area = 1/2 x 7.5 x 10.5 = 39.375 square feet.
Answer: 39.375 square feet.
The area of the actual banner is 39.375 feet²
What is scaling?
Scaling is used to increase or decrease the size of a figure so as to create an image.
Given that 1 inch on the drawing Is equivalent to 1.5 feet on the actual banner, hence:
Base = 5 in * 1.5 feet per in = 7.5 feet
Height = 7 in * 1.5 feet per in = 10.5 feet
Area of the actual banner = (1/2) * 7.5 * 10.5 = 39.375 feet²
The area of the actual banner is 39.375 feet²
Find out more on scaling at: https://brainly.com/question/25324744
Sharon buys fabric that costs $6 per yard. She wants to find the number of yards of fabric she can buy for $20. She finds the answer using the problem. 3 r2 6 120 -18 2 Sharon can buy 3 yards of fabric. What does the remainder mean? A. She will have $2 left over. B. She can buy 2 more yards of fabric. O C. She will have 2 yards of fabric left over. D. She needs $2 more to buy another yard of fabric.
Answer:
A. She will have $2 left over
Step-by-step explanation:
I know this because 3 yards of fabric cost $18 dollars so there would be $2 left
What’s the correct answer if your not sure please don’t answer I can’t get these wrong
Answer:
3 1/3 gallons
Step-by-step explanation:
Find the sum of the first 39 terms of the following series, to the nearest integer. 12 , 20 , 28 , . . . 12,20,28,...
Answer: 6396
Step-by-step explanation:
Delta math
Tanya wants to test the theory that the exterior angles of a
triangle add up to 360°. She draws triangle ABC and finds all
the angles in the triangle.
PLEASE HELP!!
Answer:
[tex]f + e + d = 360^o[/tex]
Step-by-step explanation:
The question is incomplete, as what is required is not stated and the triangle is not given.
So, I will solve generally.
The proof is as follows (see attachment for triangle)
From the attachment, we have:
[tex]a + f = 180[/tex]
[tex]b + e = 180[/tex]
[tex]c + d = 180[/tex]
Make f, e and d the subject
[tex]f = 180 - a[/tex]
[tex]e = 180 - b[/tex]
[tex]d = 180 - c[/tex]
Add up the equations
[tex]f + e + d = 180 -a + 180 - b + 180- c[/tex]
Collect like terms
[tex]f + e + d = 180 + 180+ 180-a- b - c[/tex]
[tex]f + e + d = 540-a- b - c[/tex]
We have:
[tex]f + e + d = 540-(a+ b + c)[/tex]
[tex]a + b + c \to 180[/tex] --- angles in a triangle
So, we have:
[tex]f + e + d = 540-180[/tex]
[tex]f + e + d = 360^o[/tex] --- proved
will give Brainiest if you are right
Answer:
H. x - 8 ≤ 15 is correct I think.
Step-by-step explanation:
Have a nice day!
13) 7x - 4x
A) 2 - 3x
B) -X
C) 8x
D) 3x
Evaluate ab-c, if a = 7,b = 8, and c = 12
Answer:
44
Step-by-step explanation:
axb=56
56-c=44
BRAINLIEST☻
Which relation symbol makes this number sentence true?
3/8 ___ 8/15
=
≠
Answer:
≠
Step-by-step explanation:
Sorry I just need 20 Characters
Answer:
≠
Step-by-step explanation:
Because 3/8 is 0.375, 8/15 is 0.53( with the 3 repeated). The decimal values aren't the same so the answer is that these 2 fractions are not equivalent.
Simplify the expression to show 7m+4n-m-2n
Answer:
6m + 2n
Step-by-step explanation:
we have to added up the like therms
like therms are therms that have the same literal part
6m + 2n
Answer:
7m-m+4n-2n
m(7-1)+2n(2-1)
m(6)+2n(1)
6m+2n
The volume of both of these trapezoidal prisms is 24 cubic units. Their heights are 6 and 8 units, as labeled. What is the area of a trapezoidal base of the prism with a height of 6 units?
Answer:
area of a trapezoidal base of each prism with heights 6 and 8 units are 4 square units and 3 square units respectively
Step-by-step explanation:
Let us first be aware of formula of volume for any regular geometrical figure.
Fundamental formula for volume for any regular geometrical figure is.
volume = area of cross section of object* height of object (A)
In the problem stated area of cross section of object will be area of a trapezoidal base.
Given in the question is
Volume of both the trapezoidal prisms = 24 cubic units
*************************************************************************************
For prism with height 6 unit
Substituting the value of height and volume in formula for trapezoidal prisms
24 = 6 * area of a trapezoidal base
=> area of a trapezoidal base = 24/6 = 4 square units
*************************************************************************************
For prism with height 8 unit
Substituting the value of height and volume in formula for trapezoidal prisms
24 = 8 * area of a trapezoidal base
=> area of a trapezoidal base = 24/8 = 3 square units
*************************************************************************************
Therefore area of a trapezoidal base of each prism with heights 6 and 8 units are 4 square units and 3 square units respectively.