Answer:
0.2308 = 23.08% probability that this person made a day visit
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: Visitor made a purchase
Event B: Made a day visit
Probability that a visitor made a purchase:
30% of 20%(day visitors)
10% of 50%(one-night)
50% of 30%(two-night)
So
[tex]P(A) = 0.3*0.2 + 0.1*0.5 + 0.5*0.3 = 0.26[/tex]
Probability of a purchase with a day visit:
30% of 20%. So
[tex]P(A \cap B) = 0.3*0.2 = 0.06[/tex]
How likely is it that this person made a day visit?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.26} = 0.2308[/tex]
0.2308 = 23.08% probability that this person made a day visit
Answer this correctly I’ll give u brainalist + 10 points
A triangle has side lengths of 4cm, 6cm, and 11cm. Is the triangle acute, obtuse, or right?
Answer:
No
Step-by-step explanation:
Three segments 4cm, 6cm, and 11cm cannot form a right triangle because if they could, then by Pythagorean theorem, 4^2 + 6^2 = 11^2, which is not true.
Moreover, the three segments cannot form an acute or obtuse triangle because by Triangle Inequality Theorem, the sum of two sides has to be greater than the third side. Here, (4cm + 6cm) is NOT larger than 11cm, and thus you cannot form a triangle.
Hope it helps,
Please mark me as the brainliest
Thank you
please this is overdue
Answer:
area is 15 square units
16 units for perimeter
Step-by-step explanation:
perimeter refers to the sum of all of the sides
if the width of this rectangle is 3 squres, and the length of the square is 5 squares then
3+3+5+5 = 16 units for perimeter
for area = length x width
since length = 5 and width = 3 then
5x3=15
so area is 15 square units
In Exercises 45–48, let f(x) = (x - 2)2 + 1. Match the
function with its graph
Answer:
45) The function corresponds to graph A
46) The function corresponds to graph C
47) The function corresponds to graph B
48) The function corresponds to graph D
Step-by-step explanation:
We know that the function f(x) is:
[tex]f(x)=(x-2)^{2}+1[/tex]
45)
The function g(x) is given by:
[tex]g(x)=f(x-1)[/tex]
using f(x) we can find f(x-1)
[tex]g(x)=((x-1)-2)^{2}+1=(x-3)^{2}+1[/tex]
If we take the derivative and equal to zero we will find the minimum value of the parabolla (x,y) and then find the correct graph.
[tex]g(x)'=2(x-3)[/tex]
[tex]2(x-3)=0[/tex]
[tex]x=3[/tex]
Puting it on g(x) we will get y value.
[tex]y=g(3)=(3-3)^{2}+1[/tex]
[tex]y=g(3)=1[/tex]
Then, the minimum point of this function is (3,1) and it corresponds to (A)
46)
Let's use the same method here.
[tex]g(x)=f(x+2)[/tex]
[tex]g(x)=((x+2)-2)^{2}+1[/tex]
[tex]g(x)=(x)^{2}+1[/tex]
Let's find the first derivative and equal to zero to find x and y minimum value.
[tex]g'(x)=2x[/tex]
[tex]0=2x[/tex]
[tex]x=0[/tex]
Evaluatinf g(x) at this value of x we have:
[tex]g(0)=(x)^{2}+1[/tex]
[tex]g(0)=1[/tex]
Then, the minimum point of this function is (0,1) and it corresponds to (C)
47)
Let's use the same method here.
[tex]g(x)=f(x)+2[/tex]
[tex]g(x)=(x-2)^{2}+1+2[/tex]
[tex]g(x)=(x-2)^{2}+3[/tex]
Let's find the first derivative and equal to zero to find x and y minimum value.
[tex]g'(x)=2(x-2)[/tex]
[tex]0=2(x-2)[/tex]
[tex]x=2[/tex]
Evaluatinf g(x) at this value of x we have:
[tex]g(2)=(2-2)^{2}+3[/tex]
[tex]g(2)=3[/tex]
Then, the minimum point of this function is (2,3) and it corresponds to (B)
48)
Let's use the same method here.
[tex]g(x)=f(x)-3[/tex]
[tex]g(x)=(x-2)^{2}+1-3[/tex]
[tex]g(x)=(x-2)^{2}-2[/tex]
Let's find the first derivative and equal to zero to find x and y minimum value.
[tex]g'(x)=2(x-2)[/tex]
[tex]0=2(x-2)[/tex]
[tex]x=2[/tex]
Evaluatinf g(x) at this value of x we have:
[tex]g(2)=(2-2)^{2}-2[/tex]
[tex]g(2)=-2[/tex]
Then, the minimum point of this function is (2,-2) and it corresponds to (D)
I hope it helps you!
The height of a cuboid whose volume is 385 cu cm and base area is 35 sq cm is
Answer:
11cm
Step-by-step explanation:
Given data
Volume of cuboid =385 cm^3
Base area= 35cm^2
We know that
Volume = Area* Height
substitute and solve for Height
385=35*H
H= 385/35
H= 11cm
Hence, the height is 11cm
This is for geometry and I need help!
Answer:
B, C, E, and F
Step-by-step explanation:
Recall the acronym for trigonometric functions: SOHCAHTOA
Thus:
B = 180 - (48 + 90) = 42°
Let's find the trigonometric functions using 42° as the reference angle:
Opp = b
Hyp = c
Adj = a
Applying SOH:
Sin 42 = opp/hyp
✅Sin 42 = b/c (option C is correct)
Applying CAH:
Cos 42 = adj/hyp
✅Cos 42 = a/c (option A is incorrect)
Applying TOA:
Tan 42 = opp/adj
✅Tan 42 = b/a (option E is correct)
Using 48° as reference angle:
Opp = a
Hyp = c
Adj = b
Applying SOH:
Sin 48 = opp/hyp
✅Sin 48 = a/c (option D is incorrect)
Applying CAH:
Cos 48 = adj/hyp
✅Cos 48 = b/c (option B is correct)
Applying TOA:
Tan 48 = opp/adj
✅Tan 48 = a/b (option F is correct)
In a survey a bunch of students were asked to name their favorite elective class. There were 15 students who chose "other". How many students participated?
What are the new coordinates of a point A (3, -2) after a 90° rotation counterclockwise?
Answer:
A
Step-by-step explanation:
I am assuming you mean about the origin in that case it would be 3,2
because it is quad. 1 where both x and y are pos
if my answer helps please mark as brainliest.
please help solve for the area
Answer:
The area of the shape is 126 cm.
Step-by-step explanation:
6 + 3 + 3 = 12 cm, all sides
12 * 12 = 144
3 * 3 = 9 / 2 = 4.5
4.5 * 4 = 18
144 - 18 = 126cm
Can someone explain to me why I should have used the point (-2, 4) for this equation instead of (-7. -3)?
Find the accumulated value of an investment of $1710 at 5% compounded annually for 20 years.
A) $4321.08
B) $3334.50
C) $3420.00
D) $4537.14
Answer:
D
1710(1+0.05)²⁰=4537.14
What are the solutions to the following equation?
[m] = 8.5
The value of m is equal to 8.5 and
because each distance from zero is 8.5.
Answer: -8.5
Step-by-step explanation:
I got it right on edg
Answer -8.5
Step-by-step explanation:
Jen opens a bank account with a deposit of $100. Over six years, the balance in the account changes at an increasing rate until it reaches a balance of $200. On your paper, sketch a graph that models the balance in the account as a function of the number of years since Jen opened the account. Describe your graph.
• What did you label the vertical and horizontal axes?
• What is the general shape of your graph?
• Is your graph increasing or decreasing?
• State two points that should definitely be on your graph. What do those points represent?
Answers are
1. Vertical axes represents bank account and horizontal axes represents year.
2. Exponential increase shape or increase shape.
3. Increasing (Just as the picture shows)
4. (0, 100) represents original bank account is $100 and (6, 200) represents six-year later bank account is $200.
Graph:
a diagram that represents the variation of a variable in comparison with that of one or more other variables.
Learn more Graph about here:
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Can someone help me with this?
Answer:
No
Step-by-step explanation:
6^2+4^2=52
7^2=49
49 is not equal to 52, so no it is not a right triangle
Answer:
Step-by-step explanation:
yes yes i can i just need you pitcher the one u put dose not work
Help pls and thank you ..
Answer:
i think this is the anwer 100
In AOPQ, the measure of angle Q=90°, the measure of angle O=66°, and QO = 4.5 feet. Find the length of OP to the nearest tenth of a fo
Answer:11.1 feet
Step-by-step explanation:
6) The coordinates of the origin are
Answer:
(0,0)
Step-by-step explanation:
Required
Determine the coordinates of the origin
In geometry, the coordinates of the origin is the point where x and y are 0.
i.e.
[tex]x = 0[/tex] and [tex]y = 0[/tex]
So, the coordinate (x,y) is (0,0)
DeShawna and her team gathered data for their ball and recorded it in the table shown below. Homework Help
Drop Height
Rebound
Height
150 cm
124 cm
70 cm
59 cm
120 cm
100 cm
100 cm
83 cm
110 cm
92 cm
40 cm
33 cm
a What is the rebound ratio for their ball?
Answer:
Step-by-step explanation:
Please clarify the Question
An archer releases an arrow with an initial velocity of 20 feet per second at a height of 12 feet. The path the arrow takes can be modeled using the function f(x)=−16x2+20x+12, where f(x) represents the height, in feet, of the arrow and x represents the time the arrow travels in seconds. What is the maximum height, in feet, reached by the arrow? Round your answer to the nearest hundredth if necessary. Do not include units in your answer
Answer: 18.25
Step-by-step explanation:
The arrow reaches its highest point at the y-value of the turning point. Thus, we need to find the maximum quadratic function.
-16x^2+20x+12
We know that the maximum( or minimum) of a parabola is reached at x= -b/(2a)= -20/ 2(-16)= 18.25
Showing that the object will reach a maximum height of 18.25 feet
If F(x) = 5x - 7 and G(X) = x2 - 41, what is G(F(x))?
O A. 5(x2 - 41) -7
O B. -5x +7x2 + 205x – 287
O C. (5-7 - 41
O D. 5x2 - 7x2 - 205x+287
Using formulas in geometry help! due tommorow
Answer:
1. P= 12
2. A=6
3. 3.75
Step-by-step explanation:
Hope This Helped
Distribute -6 ( 3c + 5)
Step-by-step explanation:
-6( 3c + 5)
Distributing
= - 18c - 30
Write the equation that is parallel to the question: y = -2/3x - 5 and goes through point: (6,-1)
Answer:
y = -2/3x + 3
Step-by-step explanation:
Parallel lines have the same slope so we already know
y = -2/3x + b
Solve for b using the point given
-1=-2/3(6)+b
-1+4=b
b=3
y = -2/3x + 3
Question
what's 10÷0=_
Answer please
Answer:
Undefined
Step-by-step explanation:
Answer:
you cant divide by 0
Step-by-step explanation:
no solution
A random sample of 50 students at a large high school resulted in a 95 percent confidence interval for the mean number of hours of sleep per day of (6.73, 7.67). Which of the following statements best summarizes the meaning of this confidence interval?
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
B. 95% of the students in the survey reported sleeping between 6.73 and 7.67 hours per day.
C. 95% of the students in this high school sleep between 6.73 and 7.67 hours per day.
D. A student selected at random from this population sleeps between 6.73 and 7.67 hours per day for 95% of the time.
Answer:
A . About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
95% CI from a sample of 50 students is (6.73, 7.67).
This means that we are 95% sure that the population mean is in this interval, that is, about 95% samples of 50 would contain the population mean, which is given by option A.
By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.
What is confidence interval ?confidence interval tells us the degree of certainty or uncertainty that is existent in a sampling method. It gives us a range of values, telling us we are fairly sure that our true value or parameter lies within the range.
Here given that 95% confidence interval from a sample of 50 students is (6.73,7.67). so we can say that there are 95% chance that the population mean is in this interval (6.73,7.67) , that is, about 95% samples of 50 would contain the population mean, so option A is correct
By using basic definition of confidence interval we can say that option A " About 95% of all random samples of 50 students from this population would result in a 95% confidence interval that covered the population mean number of hours of sleep per day." is correct.
To learn more about confidence interval visit :
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I nees help thank u it a math question I been stuck on ir
Answer: $43.20
Step-by-step explanation:
First, we are going to take the price of the box lunch ($6.50)
Now we are going to multiply it by 5
$6.50x5=$32.50
Now we take the total cost of the trip and subtract it by $32.50
$248.50-$32.50=216
now divide 216 by 5
216/5
$43.20
What is the interquartile in the dot plot for Mrs. Orlando’s daycare? i need thisssss!!
ΔABC with vertices A(-3,-3), B(6,3), and C(6,-9) is dilated by a scale factor of 1/3 from the origin. What are the coordinates of A'? *
Answer:
(-1,-1)
Step-by-step explanation:
PLSS HELP WILL GIVE BRAINLIEST
Type the correct answer in the box. Spell all words correctly.
Which area of number sense relates to the quantity of ingredients in recipes?
A _______ is an area of number sense that relates to the quantity of ingredients in recipes.
Answer:hey cuz that bum is wrong answer is not measurement
Step-by-step explanation:
which of the following is correct statement about this relation?
Given:
The relation is:
(-3,1),(-2,3),(-1,5),(0,7),(1,9),(2,11)
To find:
The slope and y-intercept for the given relation.
Solution:
Consider any two points from the given relation.
Let the two points are (0,7) and (1,9). So, the slope of the given relation is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{9-7}{1-0}[/tex]
[tex]m=\dfrac{2}{1}[/tex]
[tex]m=2[/tex]
The slope of the given relation is 2.
A point of relation is (0,7). It means the value of relation is 7 at x=0.
So, the y-intercept is 7.
Therefore, the correct option is D.