The answers to all the subparts using the probability formula are shown:
(A) P(red ball): 5/8
(B) P(NOT Yellow): 7/8
(C) P(white or yellow): 3/8
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
PRobability formula: P(E) = favourable events/Total events
(A) P(red ball):
P(E) = favorable events/Total events
P(E) = 5/8
(B) P(NOT Yellow)
P(E) = favorable events/Total events
P(E) = 7/8
(C) P(white or yellow)
P(E) = favorable events/Total events
P(E) = 3/8
Therefore, the answers to all the subparts using the probability formula are shown:
(A) P(red ball): 5/8
(B) P(NOT Yellow): 7/8
(C) P(white or yellow): 3/8
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94.36 rounded tenths
Answer:
94.4
Step-by-step explanation:
Determine whether the relation is a function. Explain.
{(6,-1), (-4, 2), (5, 2), (4, 6), (6,5)}
Answer:
It's not a function
Step-by-step explanation:
Answer:
[tex]\huge\boxed{\sf No}[/tex]
Step-by-step explanation:
Given relation:{(6,-1), (-4, 2), (5, 2), (4, 6), (6,5)}
For a relation to be a function, the domain (x-values) should NOT repeat values.
Here,
Domain = {6, -4, 5, 4, 6}
The number 6 in domain is repeated. Hence, this relation is not a function.
[tex]\rule[225]{225}{2}[/tex]
compute the integral
integral 2x+11/x^2-x-2 dx
The Integral value of (2x+11)/(x²-x-2) is[tex]2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex]
What is Integration?An integral assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinitesimal data.
The given integral is [tex]\int\dx \frac{2x+11}{x^{2} -x-2} dx[/tex]
By partial fractions we divide the integral
Apply the sum rule:
∫f(x)±g(x)dx=∫f(x)dx±∫g(x)dx
[tex]=\int\dx \frac{2x}{x^{2} -x-2} dx+\int\dx \frac{11}{x^{2} -x-2} dx[/tex]
Let us calculate the first integral part
[tex]=\int\dx \frac{2x}{x^{2} -x-2} dx[/tex]
Let us use the partial fraction of [tex]\frac{x}{x^{2} -x-2} dx:\frac{1}{3(x+1)} +\frac{2}{3(x-2)}[/tex]
[tex]\int\dx \frac{2x}{x^{2} -x-2} dx=2\int\dx \frac{1}{3(x+1)} dx+ \frac{2}{3(x-2)} dx[/tex]
[tex]\int\dx \frac{2x}{x^{2} -x-2} dx=2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)[/tex]
Now let us integrate second term.
[tex]\int\dx \frac{11}{x^{2} -x-2} dx=11\int\dx \frac{1}{x^{2} -x-2} dx[/tex]
We can write denominator as x²-x-2= (x-1/2)²-9/4
[tex]=11\int\dx \frac{1}{(x-\frac{1}{2}) ^{2} -\frac{9}{4}} dx[/tex]
We apply u substitution method
[tex]\int\dx \frac{11}{x^{2} -x-2} dx=-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)[/tex]
[tex]=2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex]
Hence, [tex]2(\frac{1}{3} log|x+1|+\frac{2}{3} log|x-2|)-\frac{11}{3} (log|\frac{2}{3} x+\frac{2}{3}|-log|\frac{2}{3} x-\frac{4}{3}|)+c[/tex] is the integral value of of (2x+11)/(x²-x-2).
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The width of a rectangular table top is 2 1/2 feet shorter than 3 times it’s length. If the perimeter of the table is 43 feet, what is the length, L, of the table
Answer: length=6 feet
Step-by-step explanation:
For this you need to create one equation from the question and use the equation for perimeter.
equation 1 is 2W+2L=P where perimeter is 43.
equation 2 is w=3L-2.5
-Now you want to take equation two and plug it into equation 1 for w to find L
It will be 2(3L-2.5)+2L=43 and you want to solve for L
distribute the 2 2(3L-2.5)+2L=43
add up the Ls 6L-5+2L=43
add 5 to each side 8L-5=43
divide each side by 8L=48
Then you get L=6
Now use L=6 to plug into equation two to get W(width)
w=3(6)-2.5=18-2.5=15.5
Now plug in both W and L into equation 1 to make sure you get 43
P=2(15.5)+2(6)=32+12=43 this means that w and l are correct and you get the perimeter given. So length (L) is 6.
2. Mike Williams, an electrician, is single, claims 1 allowance, and earns $425 per week. Find the federal tax withheld each week
The federal tax withheld each week for Mike Williams is given as follows:
$37.
How to obtain the amount he pays in taxes?Mike Williams salary is given as follows:
$425 a week.
The range that contains the salary, from the table given at the end of the answer, is given as follows:
Between $420 and $430.
The number of allowances that he claims is given as follows:
One allowance.
Hence the federal tax withheld each week is given by the 4th column of the interval between 420 and 430, as he claims one allowance, and the numeric value of this tax is given as follows:
$37.
(which is the weekly amount that he pays in taxes).
Missing InformationThe table with the tax information is given by the image shown at the end of the answer.
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Given 2x + 3 is the hypotenuse, use the Pythagorean
Theorem to find the length of the side labeled x.
Answer:
24
Step-by-step explanation:
Given right triangle sides x, 2x-3, and 2x+3, you want to know the length of the side labeled x.
Pythagorean theoremThe Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.
(2x +3)² = (2x -3)² +x²
4x² +12x +9 = 4x² -12x +9 +x²
x² -24x = 0 . . . . . subtract 4x² +12x +9
x(x -24) = 0 ⇒ x = 0 or 24
The length of the side labeled x is 24 units.
__
Additional comment
The triangle is an 8-15-17 triangle scaled up by a factor of 3.
Can you please help me
Answer:
The Answer is B/2/middle option
Step-by-step explanation: im great at math
Alex came home after school one day and found that his mother had left a plate of cookies. Alex ate 1/4 of the cookies. When his sister Bernice came home, she ate 1/3 of the remaining cookies, and when Carla came home, she ate 1/2 of the cookies on the plate. When their mother came home, there were 5 cookies on the plate. How many did each child eat?
Answer: Children ate 15 cookies and 5 each because Alex ate 1/4 and bernice ate 1/3 and carla ate 1/2
and 5 were left
5 into 3 is 20
and 5 are left so
20-5 is 15
15 divide by 3 is 5
Frame calculation process in your words but the final answer is each child ate 5 cookies.
For 50 points if someones solves this for me
Answer:
It will take 48 seconds before the planes are at the same altitude.
When there are at the same altitude, they will be at 3864 feet.
Step-by-step explanation:
Because its right :)
please give brainliest
Liam opened a savings account and deposited \$6000$6000dollar sign, 6000. The account earns 5\%5%5, percent in interest annually. He makes no further deposits and does not withdraw any money. In ttt years, he has \$8865$8865dollar sign, 8865 in this account.
Write an equation in terms of ttt that models the situation.
Answer:
8865= 6000 * 1.05[tex]x^{ttt}[/tex]
Step-by-step explanation:
if it is compound interest you multiply initial saving by 1.05 as this is and increase by 5% to the power of the number of years he has saved for.
8865= 6000 * 1.05[tex]x^{ttt}[/tex]
1.4775=1.05[tex]x^{ttt}[/tex]
to find ttt:
[tex]log _{1.05}[/tex][tex]1.4775= 8.0006=8[/tex]
thus ttt= 8 years
:)):))):)/):)::!:&’s
The congruent reason for 5 is (c) ASA
How to determine the congruent reason for 5?From the question, we have the following parameters that can be used in our computation:
Triangles = VWX and ZYX
The ASA similarity theorem implies that the corresponding angles of the triangles in question are similar and the sides between these angles are congruent
From the question, we can see that the following corresponding angles on the triangles:
Angles W and Y
Angles X and X
This implies that these angles are congruent angles
For the triangle to be congruent by ASA, the following sides must also be congruent
WX must be congruent to YX
This is indicated in the table of values at (3)
Hence, the additional information on the similarity of the triangles is (d) ASA
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Find the product of -1.5x and -0.25x.
O 0.375x²
O-1.75x²
O 0.375x
O -1.75x
Step-by-step explanation:
(-1.5)x × -0.25x = 0.375x²
remember, -×- = +
Find each probability and then order from least probable to most probable.
AnSwErS:
Target:
1. The probability of rolling a 7 on a 6-sided die.
2. The probability of rolling a 4 on a 6-sided die.
3. The probability of flipping a head on a coin.
4. The probability of drawing a green or red marble from a bag with 6 red, 5 blue, and 3 green marbles.
5. The probability of rolling a number less than 7 on a 6-sided die.
Step-by-step explanation:
HOPE THIS HELPS!!!!
Complete the square to re-write the quadratic function in vertex form:
y =
-8x²+32x - 28
Answer:
y = -8(x - 2)² + 4
Find the zeros of the function. State the multiplicity of multiple zeros.
y = 10x³ - 10x
Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
(Use a comma to separate answers as needed.)
A. The numbers
are zeros of multiplicity 1 and the numbers are zeros of multiplicity 2.
B. The numbers
are zeros of multiplicity 2.
C. The numbers 1,-1,0 are zeros of multiplicity 1.
D. The numbers are zeros of multiplicity 3.
Answer:
C. The numbers 1,-1,0 are zeros of multiplicity 1.---------------------
Given:Function y = 10x³ - 10xFind its zero's:10x³ - 10x = 0x³ - x = 0x(x² - 1) = 0x(x + 1)(x - 1) = 0x = 0 and x + 1 = 0 and x - 1 = 0x = 0 and x = - 1 and x = 1It has three different zeros of multiplicity 1.
Correct choice is C.
Someone can help me please #10
Two bells P and Q ring at intervals of 3hours and 4hours respectively. After how many hours will the two bells first ring simultaneously (at the same time)
Answer:
12 hours
Step-by-step explanation:
4 / 2
2/2
1
4 = 2²
2² x 3 = 4 x 3 = 12
A store pays $70 for a bicycle. The percent of markdown is 20%. What is the selling price?
Answer: $56
Step-by-step explanation:
20% of 70=14
70-14=56
Solve for the variable
m/9-1=-2
Answer:
m = -9
Step-by-step explanation:
m/9 - 1 = -2
m/9 = -1
m = -1 × 9
m = -9
------------------------------
check
-9/9 -1 = -2
-2 = -2
the answer is good
Ben lost half of his candies while walking home. His mom gave him 8 more candies. Now he has
22 candies. How many candies did he have to begin with?
Graph the translation and identify the coordinates of the image
The coordinates of A'B'C'D' are A'(2, 1), B'(3, 1), C'(3, -1) and
D'(2, -1).
What is translation of points?
By describing how far a point is moved left, right, and up or down, translations are defined.
If we know which way and how far the figure should be moved, we can draw the translation in the coordinate plane. Use P'(x + a, y + b) to translate the point P(x, y) to the right and up, respectively, by a and b units.
For the given graph, the coordinates of ABCD are,
A(-2, 3)
B(-1, 3)
C(-1, 1)
D(-2, 1)
The translation is, (x, y) → (x + 4), y - 2)
So, the coordinates of A'B'C'D' are,
A(-2, 3) → A'(2, 1)
B(-1, 3) → B'(3, 1)
C(-1, 1) → C'(3, -1)
D(-2, 1) → D'(2, -1)
The graph of translation is attached below.
Hence, the coordinates of A'B'C'D' are A'(2, 1), B'(3, 1), C'(3, -1) and
D'(2, -1).
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Enter the number that belongs in the green box
1/2 times 4/5 what’s the answer
Answer:
2/5.
Step-by-step explanation:
1/2 times 4/5 is equal to (1/2) * (4/5), which simplifies to 4/10. Since 4/10 can be simplified to 2/5, the answer is 2/5.
Answer:
the answer is 2/5 or as a decimal 0.4
How to write the unit form for 1/3
Answer:
To write the unit form for 1/3, you can simply write "1/3" or use the fraction symbol, which looks like a horizontal line with the numerator above the denominator. For example, you can write the unit form for 1/3 as follows:
1/3
Alternatively, you can use the fraction symbol, like this:
1/3
In both cases, the numerator (the number on top of the fraction) is 1 and the denominator (the number on the bottom of the fraction) is 3. This indicates that the value of the fraction is one-third.
According to a weather report, there is a 53% chance it will
rain tomorrow. What is the probability that it will not rain
tomorrow?
Answer:
47% or .47
Step-by-step explanation:
NO LINKS!! Help me with these 2 column proofs 7aa
Here is the two column proof:
Statement Reason
Diagram GivenOS ≅ OS Reflexive property of congruence Proved===================================================
Statement Reason
Diagram Given∠C ≅ ∠C Reflexive property of congruence ProvedWhat is the slope of the line that passes through the points (2, 3) and (0,11)?
Is this a false or true statement? Extrapolation is the use of the regression line to estimate a mean of y-values for an x-value that is far outside the x-range of data.
This is False in light of the stated statement. due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.
How is regression calculated?Y = mX + b, where X is the predictive (independent) factor, m is really the approx slope, and b is the expected intercept, is the methodology for simple linear regression.
What makes regression math so special?Regress, from whence the word "regression" is derived, means "to go back" in Latin (to something). Regression is the method that enables "going back" from muddled, challenging data to a clearer and more significant model in this manner.
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What are the possible rational zeros of f(x) = x^4+2x^3-3x^2-4x-12
The solution of the function f(x) = (x - 2)(x + 6)(x² + x + 2) will be 2, -3, - 1/2 + (√7/2)i, and - 1/2 - (√7/2)i.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The function is given below.
f(x) = (x⁴ + 2x³ - 3x² - 4x - 12)
Factorize the expression, then we have
f(x) = (x⁴ + 2x³ - 3x² - 4x - 12)
f(x) = x⁴ - 2x³ + 4x³ - 8x² + 5x² - 10x + 6x - 12
f(x) = x³(x - 2) + 4x²(x - 2) + 5x(x - 2) + 6(x - 2)
f(x) = (x - 2)(x³ + 4x² + 5x + 6)
f(x) = (x - 2) (x³ + 3x² + x² + 3x + 2x + 6)
f(x) = (x - 2)[x²(x + 3) + x(x + 3) + 2(x + 3)]
f(x) = (x - 2)(x + 6)(x² + x + 2)
The zeroes of the function are given as,
f(x) = 0
(x - 2)(x + 3)(x² + x + 2) = 0
x = 2, -3, - 1/2 + (√7/2)i, - 1/2 - (√7/2)i
The solution of the function f(x) = (x - 2)(x + 6)(x² + x + 2) will be 2, -3, - 1/2 + (√7/2)i, and - 1/2 - (√7/2)i.
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Please help me on this.