Answer:
a
[tex]P(E) = 0.278 [/tex]
b
[tex]P(F |E) = 0.2353 [/tex]
c
[tex] P(E and F) = 0.0654[/tex]
Step-by-step explanation:
The number of vehicles available is [tex]N = 18[/tex]
The number of vans is k = 5
The number of cars is n = 13
Generally P(E) is mathematically represented as
[tex]P(E) = \frac{k}{N}[/tex]
=> [tex]P(E) = \frac{5}{18}[/tex]
=> [tex]P(E) = 0.278 [/tex]
Generally P(F| E) means the probability that the second vehicle assigned is a van given that the first one selected is a van this mathematically calculated as
[tex]P(F |E) = \frac{5 -1}{18-1}[/tex]
[tex]P(F |E) = \frac{4}{17}[/tex]
[tex]P(F |E) = 0.2353 [/tex]
Generally [tex]P(F | E)[/tex] is also mathematically represented as
[tex]P(F | E) = \frac{P(E and F)}{P(E)}[/tex]
=> [tex] P(E and F) =P(E) * P(F | E)[/tex]
=> [tex] P(E and F) = 0.278 * 0.2353[/tex]
=>[tex] P(E and F) = 0.0654[/tex]
giving brainlist so plzzzz help tysm if u DO
Jake is going to call one person from his contacts at random. He has 30 total contacts. 16 of those contacts are people he met at school.
What is P (call a person from school)
If necessary, round your answer to 2 decimal places.
Where would square root 113 be located on a number line
Answer: It's between 10 and 11
It's closer to 11 than it is to 10.
This is because [tex]\sqrt{113} \approx 10.63[/tex] after using a calculator.
You could also look at the list of perfect squares
{1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144,...}
The terms in bold are where 113 fits in between. So we can say,
[tex]100 < 113 < 121\\\\\sqrt{100} < \sqrt{113} < \sqrt{121}\\\\10 < \sqrt{113} < 11\\\\[/tex]
What is 1\9 x 1\9 x 1\9
Answer:
1/729
explanation:
1/9 *1/9 = 1/81
1/81*1/9
= 1/729
1/729 or 0.00137174...
The decimal goes on.
What is the meaning of the unknown factor and quotient? 21÷7=__ 3
3__×7=21
The unknown factor means it's a number that can evenly be divided into the original number to get the quotient. ... A quotient is the answer in division. The divisor (denominator) and the quotient are the factors.
What is the distance between -3 and 2 on the
number line?
A.-5
B.-1
C.1
D.5
Answer:
D. 5
Step-by-step explanation:
distance between -3 and 2 on the number line is given as as:
[tex]2 - ( - 3) = 2 + 3 = 5 \: units[/tex]
What is 4 divided by 3/5
Answer:
6 2/3
Step-by-step explanation:
1
- x = 11
3
Solve for X
The Fresh Oven Bakery knows that the number of pies it can sell varies from day to day. The owner believes that on 50% of the days she sells 100 pies. On another 25% of the days she sells 150 pies, and she sells 200 pies on the remaining 25% of the days. To make sure she has enough product, the owner bakes 200 pies each day at a cost of $2.50 each. Assume any pies that go unsold are thrown out at the end of the day. If she sells the pies for $3 each, find the probability distribution for her daily profit.
Answer:
Probability No. of pies Cost Revenue Profit
0.5 100 500 300 -200
0.25 150 500 450 -50
0.25 200 500 600 100
Step-by-step explanation:
We are given that The owner believes that on 50% of the days she sells 100 pies.
So, Probability of selling 100 pies = 0.5
On another 25% of the days she sells 150 pies
So, Probability of selling 150 pies = 0.25
She sells 200 pies on the remaining 25% of the days
So, Probability of selling 200 pies = 0.25
We are given that the owner bakes 200 pies each day at a cost of $2.50 each.
So, Cost per day =[tex]200 \times 2.50 =500[/tex]
Probability No. of pies Cost
0.5 100 500
0.25 150 500
0.25 200 500
Now we are given that she sells the pies for $3 each
So, SP of 100 pies =[tex]3 \times 100 = 300[/tex]
SP of 150 pies = [tex]150 \times 3 = 450[/tex]
SP of 200 pies = [tex]200 \times 3 = 600[/tex]
Probability No. of pies Cost Revenue Profit
0.5 100 500 300 -200
0.25 150 500 450 -50
0.25 200 500 600 100
Rename 476,000 thousands
Answer:
Scientific Notation form: 4.76 X 10^5
Standard form: 476,000
Word form: four hundred, seventy six thousand
Expanded Form: 400,000+70,000+6,000
∜64= 4ˣ, what is the value of x?
Answer:
x = (2 i π n)/log(4) + log(2 sqrt(2))/log(4) for n element Z
Step-by-step explanation:
Solve for x:
2 sqrt(2) = 4^x
Hint: | Reverse the equality in 2 sqrt(2) = 4^x in order to isolate x to the left hand side.
2 sqrt(2) = 4^x is equivalent to 4^x = 2 sqrt(2):
4^x = 2 sqrt(2)
Hint: | Eliminate the exponential from the left hand side.
Take the logarithm base 4 of both sides:
Answer:x = (2 i π n)/log(4) + log(2 sqrt(2))/log(4) for n element Z
20. Which set of parametric equations over the interval 0 ≤ t ≤ 1 defines a line segment with initial point (–5, 3) and terminal point (1, –6)?
x(t) = –5 + t; y(t) = 3 – 6t
x(t) = –5 + 3t; y(t) = 1 – 6t
x(t) = –5 + 6t; y(t) = 3 – 9t
x(t) = –5 + 8t; y(t) = 1 – 7t
Given:
Initial point = (–5, 3)
Terminal point = (1, –6)
To find:
The set of parametric equations over the interval 0 ≤ t ≤ 1.
Solution:
The interval is 0 ≤ t ≤ 1, initial point is (–5, 3) and terminal point is (1, –6). It means,
[tex]x(0)=-5,y(0)=3[/tex]
[tex]x(1)=1,y(1)=-6[/tex]
Put t=1 in each parametric equation.
In option A,
[tex]x(1)=-5+1=-4\neq 1[/tex]
In option B,
[tex]x(1)=-5+3(1)=-5+3=-2\neq 1[/tex]
In option D,
[tex]x(1)=-5+8(1)=-5+8=3\neq 1[/tex]
Therefore, options A, B and D are incorrect.
In option C,
[tex]x(1)=-5+6(1)=-5+6=1[/tex]
[tex]y(1)=3-9(1)=3-9=-6[/tex]
Put t=0 in x(t) and y(t).
[tex]x(0)=-5+6(0)=-5[/tex]
[tex]y(0)=3-9(0)=3[/tex]
Since, only in option C [tex]x(0)=-5,y(0)=3,x(1)=1,y(1)=-6[/tex], therefore, the correct option is C.
Answer:
C. x(t) = –5 + 6t; y(t) = 3 – 9t
Step-by-step explanation:
got it right
PLEASE PLEASE PLEASE!!!! i really need help on finding the area of this shape! i’ve been stuck on this for so long!!
helppppppppppp help help help help help help help
2 by 7 + – is equals to 1 so we can say that x.
x=1-2/7
x=7/7-2/7
x=5/7
noa buys 6 items that each cost 4.25 and 3 items that each cost 6.75. How much does noa spend in total
Answer:
$45.75
Step-by-step explanation:
6 * 4.25 = 25.5
3 * 6.75 = 20.25
25.5 + 20.25 = 45.75
Best of Luck!
Answer:
Nora spent $45.75 in total.
Step-by-step explanation:
6 x 4.25= 25.5
3 x 6.75= 20.25
25.5 + 20.25 = 45.75
Estimate the product.
6.82(4.9)
6.82 Almost-equals
4.9 Almost-equals
6.82(4.9) Almost-equals
Answer:
6.82 Almost-equals
7
4.9 Almost-equals
5
6.82(4.9) Almost-equals
35
Step-by-step explanation:
6.8 is closer to 7 than 6.
4.9 is closer to 5 than 4
6.82(4.9) is about 35
A student says that the x-intercept of the graph x+2y = 5 is the point (0,5).
Is the student correct?
Answer:
No, the student is incorrect.
Step-by-step explanation:
First we need to find the x-intercept. You can do so by solving for the variable x, and letting y = 0.
[tex]x+2(0)=5[/tex][tex]x=5[/tex]The x-intercept of the graph of [tex]x+2y=5[/tex] is at [tex](5,\ 0)[/tex], because the formula for a point on a graph is [tex](x, \ y)[/tex], where the x-value comes first.
The x-value is 5, and the y-value is 0, because that is what we substituted into the equation.
In other words, when the graph touches the x-axis at 5 (5, 0), the y-value of this point of intersection will be 0.
This student is NOT correct because the point they give (0, 5) is flipped from the correct x-intercept.
-6 - (-14) Please help And pleas show work or explane if you know the answer??
Answer:
8
Step-by-step explanation:
First, we have to simplify the equation. A negative term multiplied by a minus sign will ALWAYS be positive.
-(-14) = 14
Then, we will evaluate the expression.
-6+14 = 8
If it helps, you can rearrange the equation.
14-6 = 8.
Hope this helps!
Look at each equation. Does the graph of the equation have an end behavior that approaches infinity (∞) as x → −∞? Select Yes or No for A-C.
Answer:
A). Yes
B). Yes
C). No
Step-by-step explanation:
Option (A). y = -2x - 5
As x → -∞, left end of the line decreases.
As x → ∞, right end of the graph rises.
YES.
Option (B). y = 5(x + 2)³ - 3
As x → -∞ and x → ∞,
Both the ends (left and right) rise upwards.
YES.
Option (C). y = -3ˣ
Since, the given equation is not a polynomial, end behaviors are not defined.
NO.
the width of a rectangle is 11 units less than the length. if the area is 152 square units, find the dimensions of the rectangle
The sum of 2 and three times a number equals 14 find the number
Answer:
4
Step-by-step explanation:
2+(4*3)=14
Answer:
2.8
Step-by-step explanation:
(2 + 3) x = 14
5x=14
x=2..8
Which expression is equivalent to 54 ⋅ 5–6?
5–10
56
fraction 1 over 5 to the power 2
fraction 1 over 5 to the power negative10
Answer:
the answer would be 5 1/2
Step-by-step explanation:
Answer: 5 1/2
Step-by-step explanation:
slope of line 1,3 1,-2
H
In the diagram, GH bisects ZFGI.
a. Solve for x and find mZFGH.
b. Find mZHGI.
c. Find mZFGI.
(3x-5°
(4x-18)
G
a. X=
mZFGH =
(Simplify your answer.)
(Simplify your answer.)
(Simplify your answer.)
(Simplify your answer.)
b.mZHGI =
c. mZFGI=
x = 14 < FGH = 34,
x = 10,
O x = 14,
x = 14,
what is the constant of proportionality in the equation y = 2/3x
Answer:
2/3
Step-by-step explanation:
i have proff and please mark me brainlist because when i answer questions i try my best to give proff
Consider the following scenario in email filtering. You know based on your data that 10% of messages sent out are phishing attempts. Now, you look for a few keywords to improve your estimate of whether a particular message is a phishing email. In particular, you see two interesting words in a message you are considering that might indicate that the message is or is not a phishing email. These words and the likelihood that they appear in both a phishing and non-phishing message are listed below. Apply Bayes rule to update the probability that the message is a phishing email once for each word and give the final probability that the message is a phishing email. Note that your prior for the second update is based on the posterior probability after applying Bayes rule for the first word.
Phishing Not Phishing
Urgent 0.15 0.02
Password 0.10 0.01
Answer:
miohyug7wjhduud2yw789dwdyhe8w
Step-by-step explanation:
qhudguhdijwduw9
Probability of phishing email given the word urgent is 0.45.
Probability of phishing email given the word password is 0.53.
What is Bayes' Rule?Bayes' rule is most powerful rule in probability which states that,
P(A|B) = [ P(B|A) P(A) ] / P(B)
Given that,
P(phishing) = 10% = 0.1
P(not phishing) = 1 - 0.1 = 0.9
P(urgent | phishing) = 0.15
P(urgent | not phishing) = 0.02
P(password | phishing) = 0.10
P(password | not phishing) = 0.01
P(urgent) = P(urgent | phishing)P(phishing) + P(urgent | not phishing)P(not phishing)
P(urgent) = 0.033
Similarly, P(password) = 0.019
By Bayes' Rule,
P(phishing | urgent) = [P(urgent | phishing) P(phishing)] / P(urgent)
= (0.15 × 0.1) / 0.033
= 0.45
P(phishing | password) = [P(password| phishing) P(phishing)] / P(password)
= (0.10 × 0.1) / 0.019
= 0.53
Hence the probability of phishing email given for each word is found.
Learn more about Bayes' rule here :
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I need help please
PLEASE HELP NOW!!!!! The inequality –3^x + 5 > –4 can be broken into two related inequalities. Review the graphs of the two related inequalities.
On a coordinate plane, a dotted line is at y = 4. Everything above the line is shaded. A dotted curved line approaches y = 5 in quadrant 2 and then curves down through (0, 4) and (1, 2). Everything below and to the left of the curve is shaded.
Which set shows the solution to –3x + 5 > –4?
(–∞, 2)
(–4, ∞)
(–4, 5)
(2, ∞)
Answer: A
Step-by-step explanation:
Got it right on Edge
Answer: A
(–∞, 2)
Step-by-step explanation:
Maliah goes to an electronics store. Let y represent the price of a laptop and let represent the
price of a television. The equation y = 9x + 22 relates the prices,
Answer: GIVE ME THANKS
Question 1: TRUE
Question 2: FALSE
QUESTION 3: TRUE
Question 4: False
Question 5 : False
Step-by-step explanation:
y = 9x + 22
y = price of the laptop
x = price of the television
Question 1: TRUE
y = 9(240) + 22
y = $2182
Question 2: FALSE
y = 9(280) + 22
y = $2542
Question 3: True
y = 9(424) + 22
y = $3838
Question 4: False
y = 9(480) + 22
y = $4342
Question 5: FALSE
y = 9(552) + 22
y = $4990
Answer:
Only statements A & C are true.
Step-by-step explanation:
Solving this problem entails of substituting the values provided in each option into the given equation, in order to determine which are true. Take a look at how each is solved.
Option One
Substitute the values given into the equationGiven: y = 2,182; x = 240
y = 9x + 22
2,182 = 9(240) + 22
Multiply the term inside the parentheses by the term outside the parentheses2,182 = 9(240) + 22
2,182 = 2,160 + 22
Combine the terms on the right side of the equation2,182 = 2,160 + 22
2,182 = 2,182
Determine if the simplified equation is true2,182 = 2,182 true
This option is correctOption Two
Substitute the values given into the equationGiven: y = 2,527; x = 280
y = 9x + 22
2,527 = 9(280) + 22
Multiply the term inside the parentheses by the term outside the parentheses2,527 = 9(280) + 22
2,527 = 2,520 + 22
Combine the terms on the right side of the equation2,527 = 2,520 + 22
2,527 = 2,542
Determine if the simplified equation is true2,527 = 2,542 not true
This option is incorrectOption Three
Substitute the values given into the equationGiven: y = 3,838; x = 424
y = 9x + 22
3,838 = 9(424) + 22
Multiply the term inside the parentheses by the term outside the parentheses3,838 = 9(424) + 22
3,838 = 3,816 + 22
Combine the terms on the right side of the equation3,838 = 3,816 + 22
3,838 = 3,838
Determine if the simplified equation is true3,838 = 3,838 true
This option is correctOption Four
Substitute the values given into the equationGiven: y = 4,322; x = 480
y = 9x + 22
4,322 = 9(480) + 22
Multiply the terms inside the parentheses by the term outside the parentheses4,322 = 9(480) + 22
4,322 = 4,320 + 22
Combine the terms on the right side of the equation4,322 = 4,320 + 22
4,322 = 4,342
Determine if the simplified equation is true4,322 = 4,342 not true
This option is incorrectOption Five
Substitute the values given into the equationGiven: y = 4,980; x = 552
y = 9x + 22
4,980 = 9(552) + 22
Multiply the terms inside the parentheses by the term outside the parentheses4,980 = 9(552) + 22
4,980 = 4,968 + 22
Combine the terms on the right side of the equation4,980 = 4,968 + 22
4,980 = 4,990
Determine if the simplified equation is true4,980 = 4,980 not true
This option is incorrectThis proves that only options 1 & 5 are correct.
Find a solution to the linear equation 13x + y = 26 by filling in the boxes with a valid value of x and y.
Answer:
MOM
Step-by-step explanation:
The solution to the equation are y = 26 - 13x and x = 2 - y/13
How to determine the solution?The equation is given as:
13x + y = 26
To do this, we solve for x and we solve for y
We have:
13x + y = 26
Subtract 13x from both sides
y = 26 - 13x
Also, we have:
13x + y = 26
Subtract y from both sides
13x = 26 - y
Divide through by 13
x = 2 - y/13
Hence, the solution to the equation are y = 26 - 13x and x = 2 - y/13
Read more about equations at:
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For what value of x will the relation R not be a function? R:{(2x,7),(8,3)}
Answer:
x=4
Step-by-step explanation:
The answer is 4 because 2 multiplied by x has to equal x2 or 8. So divided 8 and 2, so you get the answer of 4. Since the numbers are the same the relation of R won't be a function.
