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A box of donuts containing 6 maple bars, 3 chocolate donuts, and 3 custard filled donuts is sitting on a counter in a work office. Warren comes along and decides to eat two in a row. What is the probability that Warren will eat a chocolate donut and then a custard filled donut
Probabilities are used to determine the chances of selecting a kind of donut from the box.
The probability that Warren eats a chocolate donut, and then a custard filled donut is 0.068
The given parameters are:
[tex]\mathbf{Bars = 6}[/tex]
[tex]\mathbf{Chocolate = 3}[/tex]
[tex]\mathbf{Custard= 3}[/tex]
The total number of donuts in the box is:
[tex]\mathbf{Total= 6 + 3 + 3}[/tex]
[tex]\mathbf{Total= 12}[/tex]
The probability of eating a chocolate donut, and then a custard filled donut is calculated using:
[tex]\mathbf{Pr = \frac{Chocolate}{Total}\times \frac{Custard}{Total-1}}[/tex]
So, we have:
[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{12-1}}[/tex]
Simplify
[tex]\mathbf{Pr = \frac{3}{12}\times \frac{3}{11}}[/tex]
Multiply
[tex]\mathbf{Pr = \frac{9}{132}}[/tex]
Divide
[tex]\mathbf{Pr = 0.068}[/tex]
Hence, the probability that Warren eats a chocolate donut, and then a custard filled donut is approximately 0.068
Read more about probabilities at:
https://brainly.com/question/9000575
-6x - 3= 27
Help pless
Answer:
x=-5
Step-by-step explanation:
-6x-3=27
add 3 to both sides
-6x=30
divide both by -6
x=-5
I hope this helped :)
Answer:
[tex] \sf \: x = - 5[/tex]
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ -6x - 3 = 27
Then the value of x will be,
→ -6x - 3 = 27
→ -6x = 27 + 3
→ -6x = 30
→ x = 30 ÷ (-6)
→ [ x = -5 ]
Hence, the value of x is -5.
Round 0.13171 to the thousandths place (three decimal places).
solution set of (3x+7)^2+5=(7x-9)^2x+5
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(3*x+7)^2+5-((7*x-9)^2*x+5)=0
Step by step solution :
STEP1:
Equation at the end of step 1
(((3x+7)2)+5)-(x•(7x-9)2+5) = 0
STEP2:
Checking for a perfect cube
2.1 -49x3+135x2-39x+49 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: -49x3+135x2-39x+49
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -39x+49
Group 2: -49x3+135x2
Pull out from each group separately :
Group 1: (-39x+49) • (1) = (39x-49) • (-1)
Group 2: (49x-135) • (-x2)
Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
Find roots (zeroes) of : F(x) = -49x3+135x2-39x+49
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is -49 and the Trailing Constant is 49.
The factor(s) are:
of the Leading Coefficient : 1,7 ,49
of the Trailing Constant : 1 ,7 ,49
Let us test ....
Equation at the end of step
2
:
-49x3 + 135x2 - 39x + 49 = 0
STEP
3
:
Cubic Equations:
3.1 Solve -49x3+135x2-39x+49 = 0
Future releases of Tiger-Algebra will solve equations of the third degree directly.
Meanwhile we will use the Bisection method to approximate one real solution.
Approximating a root using the Bisection Method :
We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).
The function is F(x) = -49x3 + 135x2 - 39x + 49
At x= 3.00 F(x) is equal to -176.00
At x= 2.00 F(x) is equal to 119.00
Intuitively we feel, and justly so, that since F(x) is negative on one side of the interval, and positive on the other side then, somewhere inside this interval, F(x) is zero
Procedure :
(1) Find a point "Left" where F(Left) < 0
(2) Find a point 'Right' where F(Right) > 0
(3) Compute 'Middle' the middle point of the interval [Left,Right]
(4) Calculate Value = F(Middle)
(5) If Value is close enough to zero goto Step (7)
Else :
If Value < 0 then : Left <- Middle
If Value > 0 then : Right <- Middle
(6) Loop back to Step (3)
(7) Done!! The approximation found is Middle
Next Middle will get us close enough to zero:
F( 2.596896529 ) is 0.000000414
The desired approximation of the solution is:
x ≓ 2.596896529
Note, ≓ is the approximation symbol
One solution was found :
x ≓ 2.596896529
Where , the distance between the points ( a, c) and ( b, c) is ( ) units
Answer:
I would love to help but there is no upload. Would you mind creating a new question with a picture or data of the graph
Step-by-step explanation:
The product factor is 4,200.If one of the factor is 60 what is the other factor?Explain
Answer: The other factor is 70
Explanation: 4,200 divided by 60 is 70.
54,392 rounded to the hundreds place
Answer:
54,400
Step-by-step explanation:
What is the product?
(Y^2+3Y+7)(8y^2+y+1
Answer:
8y⁴+25y³+60y²+10y+7
Step-by-step explanation:
8y⁴+y³+y²+24y³+3y²+3y+56y²+7y+7
8y⁴+25y³+60y²+10y+7
Answer:
8y^4+25y^3+60y^2+10y+7
Step-by-step explanation:
(y^2+3y+7)(8y^2+y+1)
We are going to multiply the first term, y^2, by the whole second part (8y^2+y+1)
8y^4+y^3+y^2
now we multiply the 2nd term, 3y, by the whole second part (8y^2+y+1))
24y^3+3y^2+3y
now we do the same to the last term, 7.
56y^2+7y+7
now we need to add all three of our products together
(8y^4+y^3+y^2)+(24y^3+3y^2+3y)+(56y^2+7y+7)
adding like terms:
8y^4+y^3+24y^3+y^2+3y^2+56y^2+3y+7y+7
we get:
8y^4+25y^3+60y^2+10y+7
The function c(h)= (20h)/(h^2+2) models the concentration of a medication in the bloodstream h hours after it’s injection into the muscle tissue.
-Does the graph have a vertical asymptote? If so, give the equation of the vertical asymptote and explain why this would be a concern or not. If the function does not have a vertical asymptote, explain why.
-Find the horizontal asymptote, what does it mean in the context of this problem?
-Does the function cross the horizontal asymptote? Does it make sense in the relation to this problem?
I have the answers, I just don’t understand how to explain them in the context of the problem.
Answer:
Step-by-step explanation:
What’s it’s answer I am wonder
After three exams, Jenny has a mean score of 74. With only one exam remaining in the class, what is the
minimum score she will need on that exam to have an overall mean of 80?
The minimum score Jenny need on that exam to have an overall mean of 80 is 98.
What is mean?In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).
Given that, after three exams, Jenny has a mean score of 74.
Let the minimum score of the one exam remaining be x
Now, (3×74+x)/4 =80
⇒ 222+x=320
⇒ x=320-222
⇒ x=98
Therefore, the minimum score Jenny need on that exam to have an overall mean of 80 is 98.
To learn more about an arithmetic mean visit:
https://brainly.com/question/15196910.
#SPJ2
Plss help me! I’m so confused! Brainlist! Pls no links and deleting!
$60
Step-by-step explanation:
The unit rate can be determined by dividing $24 by 8 attendees to get
[tex]\dfrac{\$24}{8\:\text{attendees}} = \$3/\text{attendee}[/tex]
so when 20 people are attending the graduation picnic, his total cost is going to be
[tex]20\:\text{attendees}×\dfrac{\$3}{\text{attendee}} = \$60[/tex]
3. How many 1/8's are in 1 1/4?
Answer:
10
Step-by-step explanation:
There are two 1/8 in one 1/4. There are eight 1/8 in 1. 8/8 + 1/8 + 1/8 = ten 1/8.
PLS HELP NOW! WILL GIVE BRAINLIEST TO WHO EVER ANSWERS FIRST
Answer:
y = 1.6x −5
Step-by-step explanation:
We start with two points, let’s say (0,-5) and (4,1.4).
The equation is:
y=mx+b
m is the slope and b the y-intercept.
We can find the slope by:
[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{-5-1.4}{0-4} = 1.6[/tex]
Then solve the equation for b:
y = 1.6x + b ->
−5 = 1.6(0) + b ->
b = -5.
So the final equation is:
y = 1.6x −5.
Hope that helps! :)
Y = ___x + ____
Find the equation of the line.
Determine the intercepts of the line.
Do not round your answers.
y +5 = 2(x + 1)
y-intercept:
r-intercept:
Answer:
x intercept: (3/2, 0), y intercept: (0, -3)
Step-by-step explanation:
An isosceles right triangle has legs of equal length if the hypotenuse is 10 cm long find the length of each leg
Since this is a right triangle, we know we have to use the Pythagorean Theorem: A² + B² = C² , where A and B = the legs of the triangle (which are shorter than the hypotenuse) and C = the hypotenuse.
In this isosceles triangle, A = B (because the legs are the same size) and C is 10cm longer than A and B.
Thus we get the following,
A = x
B = x
C = x + 10
We simply plug in these variables into the equation and solve for x:
x² + x² = (x+10)²
2x² = x² + 20x + 100
x² - 20x - 100 = 0
We solve for x by completing the square:
(x² - 20x + 100) - 100 = 100
(x-10)² -100 = 100
(x-10)² = 200
x - 10 = √(200)
x - 10 = 10 √2
x = 10 + 10√2 = 24
Finally,
A ≈ 24 (or 10 + 10√2)
B ≈ 24 (or 10 + 10√2)
C ≈ 24 + 10 ≈ 34 (or 10 + 10√2 + 10 = 20 + 10√2)
if a- b= 2 and ab= 15 then a3-b3?
a) 30 b) 98 c) 20 d) 60
full explanation please
Answer:
The answer is 98
Step-by-step explanation:
A = 5
B = 3
a_b = 2
a × b = 5 × 3 = 15
A3 _ b3 =(5) bower 3 _ (3) power 3 = 98
(PLEASE HELP ME I NEED THIS VERY QUICKLY)
find the value of x in the rhombus
Answer:
1/2 and -5/2
Step-by-step explanation:
Assuming all sides are equal just put the equations equal to each other and solve
If you see this can you answer this question.
Answer:
The last one
Step-by-step explanation:
-4 1/3 is less than -1 3/4 because its farther on the negative side and -1 3/4 is closer to the positive side
Evaluate. (2a−1/3)÷b/15 when a=−4/5 and b=−2.25 Enter your answer as a simplified mixed number in the box.
help me due today might need more help in a minute but yk help me which one is it A B C D or E
Answer:
Option B is correct.
Step-by-step explanation:
c - 2.5 = 0
=> c = 0 + 2.5
=> c = 2.5
Therefore, c = 2.5 is our answer.
Hoped this helped.
Answer:
B-2.5
Step-by-step explanation: add 2.5 to both sides of the equation to get c=2.5
4x + y = 16
y = 0.5x -2
Answer:
x = 4, y = 0
Step-by-step explanation:
Someone help me on PART B:
Step-by-step explanation:
given expression,
4(3x - 1) - 2(6 + 2x)
given,
x = 12.5
so q/q
→ 4[3(12.5) - 1] - 2[6 + 2(12.5)]
→ 4(37.5 - 1) - 2(6 + 25)
→ 4 × 36.5 - 2 × 31
→ 146 - 62
→ 84
therefore, 84 articles store received last Thursday.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.
Answer:
84
Step-by-step explanation:
name the following geometric figures in as many ways as you can.
•————•
X W
•————•
X W
This is called as line segment XW. The 2 dots at the ends indicate that the line segment has a starting point & an end point.
______
RainbowSalt2222 ☔
The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers? please help me
Answer:
2020
Step-by-step explanation:
if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023
it is the number in the middle.
for the first 3 numbers, it is 2019, 2020, 2021
the middle number is 2020
Help help help help please math math
Answer:
Answer ️️
Step-by-step explanation:
5.1÷104 = 4.903846154
which letter onthe diagram below represents a diameter of the circle.
please help me on my math , I need help :(
Answer:
ask sombody else
Step-by-step explanation:
guess we dont
The cost of a trailer decreases in value by 25% What is the cost of the trailer if it was initially bought for $125 b $250 C. $375 d. $750 e x dollars
Answer:
the answer isn't there, but the answer is $93.75
Step-by-step explanation:
Graph the line with slope 7 and y-intercept -7
Given :-
To graph the line with slope 7 and y intercept -7.To Find :-
The graph of the line .Solution :-
Here since the slope of the line is 7 and y intercept is -7 , we can use the slope intercept form of the line to find the equation of the line . The slope intercept form of the line is ,
[tex]\longrightarrow[/tex] y = mx + c
On putting the respective values ,
[tex]\longrightarrow[/tex] y = 7(x) + (-7)
[tex]\longrightarrow[/tex] y = 7x - 7
For the graph see attachment .