Answer: The events are dependent
The probability is 35/132
==============================================================
Explanation:
If the first bow Sara pulls out isn't put back, then the two events are dependent. This is because the probability of pulling a white bow changes depending on what Sara pulls out.
If Sara pulls out a blue bow, then the teammate's chances of pulling a white bow are 7/11 because there are 7 white bows out of 4+7 = 11 left over (or you could compute 5+7-1 = 11).Or if Sara pulls out a white bow, then the chances of a teammate pulling out another white bow is 6/11 instead of 7/11. The probability has changed.So again, it all depends on what Sara does because she goes first. This is of course not the case if Sara puts the bow back. If she put it back, then the chances of the teammate pulling the white bow is 7/12
---------
To find the overall probability of Sara selecting a blue bow and not putting it back, followed by a teammate getting a white bow, we multiply the fractions 5/12 and 7/11 to get (5/12)*(7/11) = 35/132
For more info, search out conditional probability.
Can I get help with this?
9514 1404 393
Answer:
y +3 = 1/5x
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
You have y-intercept point (0, -3) and slope -1/5, so the equation is ...
y -(-3) = -1/5(x -0)
y +3 = -1/5x
Use the method of disk or washer to set up, but do not evaluate, an integral for a volume of the solid obtained by rotating the region bounded by the given curves about the given line.
y=√x and y=x and y=1
Answer:
V = π /2 volume units
Step-by-step explanation:
Volume of y = √x bounded by y = x and y = 1
y = √x
limits of integration ( see Annex )
By simple inspection limits of integration are x = 0 to x = 1
or y = √x and y = x
solving these two equations
x = 0 y = 0 x = 1 y = ± 1
V = ∫ π*f(x)²*dx
V = π * ∫₀¹ x*dx = π * x²/2 |₀¹
V = π * (1/2) - 0
V = π /2 volume units
A production plant cost-control engineer is responsible for cost reduction. One of the costly items in his plant is the amount of water used by the production facilities each month. He decided to investigate water usage by collecting seventeen observations orn his plant's water usage and other variables
Variable Description
Temperature Average monthly temperate (F)
Production Amount of production (pounds)
Days Number of plant operating days in the month
Persons Number of persons on the monthly plant payroll
Water Monthly water usage (gallons)
The output is shown below Regression Statistics Multiple R R Square Adjusted R Square Standard Error Observations 0.876 0.767 0.689 17 ANOVA cance F Regression Residual Total 4 12 16 2448834.0 612208.5 743797.5 61983.1 192631.5 9.88 0.0009 Coefficients 6360.34 13.87 0.21 126.69 21.82 Standard Error 1314.39 5.16 0.05 48.02 7.28 t Stat P-value 4.84 0.0004 .69 0.0197 .65 0.0006 2.64 0.0216 .00 0.0112 Lower 95% 3496.5 Upper 95% 9224.15 25.11 0.31 22.06 5.95 Lower 95.0% 3496.52 2.63 0.11 231.32 37.69 uper 95.0% 9224.15 25.11 0.31 22.06 5.95 Intercept Temperature Production 2.63 0.11 -231.32 37.69 Persons
What is a, the standard error of the estimate? Include 2 decimal places.
Answer:
248.96
Step-by-step explanation:
From this regression output we have the MS Residual or mean squared error to be equal to 61983.1
the question requires us to find the standard error of the estimate. The standard error of the estimate can be gotten by finding the square root of the MSE.
[tex]\sqrt{61983.1}[/tex]
= 248.96
the standard error of the estimate = 248.96
thank you!
In the graphing tool, move the sliders for y=k(square root of x) and y= (square root of kx). Find a value of k where the graphs coincide. At what value of k does this occur? What happens to each of the equations when k is negative?
1+1+1+1+1++1+1++1+1+1+1+1+1+1
Solve the following system of equations with the substitution method.
{x+y=25
y=4x
(x,y)=( , )
Answer:
(5,20)
Step-by-step explanation:
x+y=25
If you substitute y=4x,
x+4x=25
Now add like terms
5x=25
Divide 5
x=5
Put it back into the equation
5+y=25
Subtract 5
y=20
Answer: (5,20)
Leigh plans to estimate the area of the figure on the grid by identifying the full and partial squares that make up the figure.
My wife and I are Racing around a 400m track going opposite directions. I am running at 8 m/s and she has a head start of 50 meters running at 5 m/s, how long does it take for us to reach the same point ? Explain.
Answer:
They both meet after 27 s.
Step-by-step explanation:
Length of track = 400 m
speed of man, v = 8 m/s
speed of woman, v' = 5 m/s
Woman is 50 m ahead of man.
Let the time taken to meet is t.
Let the man covered a distance d in time t o the woman covered a distance 400 - 50- d.
[tex]\frac{d}{8}=\frac{400-50-d}{5}\\\\5 d = 8 (350-d)\\\\13 d = 2800\\\\d = 215.4 m[/tex]
The time taken is
[tex]t=\frac{215.4}8}\\\\\\t=27 s[/tex]
The distance from place A to place B is 100 yards. What is this distance in terms of feet?
A. 100 ft.
B. 200 ft.
C. 250 ft.
D. 300 ft.
Answer:
D
Step-by-step explanation:
one yard is 3 feet
100x3=300
find the value of x. round to the nearest tenth. 9,4, x
Answer:
Not sure what you mean here, is this a table? If so, you need to provide the y value or a screenshot!
Answer:
24.6° (nearest tenth) .
Determine whether the events are independent.Numbers are written on slips of paper in a hat; one person pulls out a slip of paper without replacing it, then a second person pulls out a slip of paper.Independent Not independent
Answer:
Not independent
Explanation:
Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.
Help and explain please and thanyouu
Answer:
f(-3.2) = - 7.2
Step-by-step explanation:
f(x) = [x] - 4
f(-3.2) will be ;
Here, we put - 3.2 in place of x as the question is interpreted as the value of f(x) when x = - 3.2
Therefore, we have ;
f(-3.2) = - 3.2 - 4
f(-3.2) = - 7.2
Are the triangles congruent? Why or why not?
Answer:
ffffffssssssssssssssssscv
Step-by-step explanation:
3,-30,300,-3000 is it geometric or not geometric if so whats the common ratio r=?
Step-by-step explanation:
everything can be found in the picture
what is the equation of the line that has a gradient of 3 and passes through the point (-1,3)
Answer:
d
Step-by-step explanation:
Sorry for the blurry picture anyone can help?? That’ll be nice
Answer:
Option 2
Step-by-step explanation:
Since both triangles are similar, that means that the larger triangle's sides are greater than the smaller triangle's sides by a factor. We can see that 10 corresponds to x, so in the proportion 10 and x must be on the same side. That rules out option one and three. Now, we see that 7 corresponds to 14 and 6 corresponds with 12, so the other side must have 6 and 12 on the same side or 7 and 14 on the same side. We see that the only option that satisfies this criteria is Option 2.
Answer:
Option 2 - [tex]\frac{10}{x} =\frac{7}{14}[/tex]
Step-by-step explanation:
So, lets just look at the two traingles, find the difference, then see if the graphs will give us the same difference.
So lets see.
One side of triangle ABC is 6. The same side of triangle DEF is 12.
Another side of triangle ABC is 7. THe same side of trinalge DEF is 14.
The final side of trinalge ABC is 10. The same side of triangle DEF is x.
We only need to compare a single side of these to find the difference:
12/6=2
14/7=2
This is very simple.
However, lets shift this into what they wrote.
So we know that the difference between each side is 2.
ALL sides are like this.
We know that both 12/6 and 14/7 equal the same thing, so tecnically, they are equal:
12/6=14/7
This is the same with 10/x as well.
So:
10/x=14/7
10/x=12/6
So we know that the difference from ABC to DEF is 2. But the difference from DEF to ABC is the opposite, 1/2.
Knowing this:
x/10=6/12 is the same thing as 10/x=12/6. And x/10=7/14 is the same thing as 10/x=14/7
So our answers can also be:
x/10=7/14
x/10=6/12
This looks like option 2.
Hope this helps!
Will mark Brainlest help plsssss
Answer:
Step-by-step explanation:
f(0) = [tex]0^{3} +1=1[/tex]
f(-2)= [tex](-2)^{3} +1=-7[/tex]
f(x+1) = [tex](x+1)^{3} +1=x^{3} +3x^{2} +3x+2[/tex]
Explain why the triangles are similar and write a similarity statement.
Answer:
The triangles are congruent, because;
Angle H and K are Opposite Side Interior Angles which are congruent,
Angle GJH and LJK are vertical angles which an be said to be congruent
Therefore;
Triangles that have 2 or more vertices congruent are said to be congruent.
Hope this helps!
PLS HELP ASAP !!! PLSSSSSSS
Answer:
Here is the answerStep-by-step explanation:
Does the answer help for you?
The retail cost of a TV is 50 % more than its wholesale cost. Therefore, the retail cost is ____ times the wholesale cost.
Answer:
Let the retail cost be x and the wholesale cost be y
Step-by-step explanation:
x = y + 0.50y
x = 1.50y
Therefore the retail cost is 1.50 times the wholesale cost.
the average of three numbers is 6. the average of the first and second is 7, what is the value of the third number?
Answer:
4
Step-by-step explanation:
the sum of the first two numbers is 7*2=14 and the sum of the three numbers is 6*3=18 then you subtract the answers giving you 4
Determine if the data of described below is quantitative or qualitative. Explain. Voltage measurements from your home
There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag. What is the probability that you will randomly draw either a red or a blue marble?
20%
6.7%
52%
32%
Answer:
52%
Step-by-step explanation:
There is a total of 25 marbles in the bag. 13 of them consist of red and blue marbles.
13 / 25 = 0.52 or 52%
for the function g defined above, a is a constant and g(4) = 8 what is the value of g(-4)
Answer:
-8
Step-by-step explanation:
g(4)=8
8÷4=2
g=2
g(-4)=2(-4)
=(-8)
holp it can help you.
If three workers can paint a room in two hours and approximately how long does it take for workers to paint the same room assume the time needed to paint the room is inversely proportional to the number of workers
Answer:
The time taken by the four workers to paint the room is 1.5 hours.
Step-by-step explanation:
3 workers can paint a room in 2 hours
So, 1 worker can paint the same room in 6 hours.
Now the number of workers is 4.
So, the time in which the 4 workers can paint the same room is
= 6/4 = 1.5 hours
A high school currently has a 30% dropout rate. They’ve been tasked to decrease that
rate by 20%. Find the equivalent percentage point drop.
I really don't know but I guess 59
Which answer choice is equivalent to the expression below?
–7(2+n) + (-9-6n)
0 -17-9
O
-14-12
0 11+5n
14 + 2n
Answer:
the answer would be -13n-23
Step-by-step explanation:
first you want to distribute the brackets
-7(2+n) = -14-7n
+(-9-6n)
-9-6n
-14-7n-9-6n
combine the n value with an n value and an integer that doesn't have an n value
-7n-6n-14-9
= -13n-23
I need help with #4. Please help. I have to show all work so please explain
9514 1404 393
Answer:
5
Step-by-step explanation:
Use the distance formula.
d = √((x2 -x1)² +(y2 -y1)²)
d = √((4 -0)²+(3 -0)²) = √(4² +3²) = √(16 +9) = √25
d = 5
The distance between the two points is 5 units.
_____
Additional comment
The most commonly seen Pythagorean triples are (3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) and their multiples.
In problem 4, once you see that the differences of the coordinates are 3 and 4, you can consult your memory of the (3, 4, 5) Pythagorean triple to recognize the hypotenuse length of a triangle with sides 3 and 4 is 5.
Similarly, in problem 5, you recognize the coordinate differences as 5 and 12, so you know from the (5, 12, 13) Pythagorean triple that the distance will be 13.
in the parallelogram below x=?
Answer:
20
Step-by-step explanation:
In a parallelogram diagonals bisect each other.
[tex] \therefore \: 6x - 57 = 3x + 3 \\ \\ \therefore \: 6x - 3x = 57 + 3 \\ \\ \therefore \: 3x = 60 \\ \\ \therefore \: x = \frac{60}{30} \\ \\ \therefore \: x = 20[/tex]
I’ll mark brainliest
Answer:
A.) y = -7/4x - 7
Step-by-step explanation:
The line's slope is -7/4 and its y-intercept is located at the point (0, -7).
types of circle geometry concepts
Answer:
Circle basic concepts: Chords, arcs, tangents, cyclic quadrilateral, angle subtended by a chord and secant of a circle with examples and exercise. Contents are, Definition of a circle.