A spinner has 6 equal-sized sections To win the game, the pointer must land on a purple section
Complete the statement
favorable outcomes
2
Plpurple)
total number of possible outcomes
6
Click the icon to view the spinner
Answers
There are two purple sections; therefore, the probability of landing on purple is (provided that the probability of landing on any of the six areas is the same)
\(P(purple)=\frac{2}{6}=\frac{1}{3}\)The answer is P(purple)=2/6=1/3
Related Questions
Bruno had a gross income of $4925 during each pay period last year. If he got
paid monthly, how much of his yearly pay was deducted for FICA?
A. $4521.15
B. $3250.50
C. $3871.05
D. $3841.50
Answers
The amount of Bruno's yearly pay deducted for FICA is approximately
A. $4,524.15. The closest option provided is A. $4521.15.
To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.
As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.
Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:
Yearly gross income = $4925 * 12 = $59,100
To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:
Social Security deduction = $59,100 * 6.2% = $3,667.20
Medicare deduction = $59,100 * 1.45% = $856.95
Adding these two deductions together:
FICA deduction = $3,667.20 + $856.95 = $4,524.15
Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.
The closest option provided is A. $4521.15.
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CAN SOMEONE HELP WITH THIS QUESTION?
Answers
The value of the given summation is:
\(\sum (29a_i - 13b_i) ]= -30\)
How to find the sum?Here we know that the sums are:
\(\sum a_i = -10\\\\\sum b_i = -20\)
And we want to find the value of the sum:
\(\sum (29a_i - 13b_i)\)
First we can distribute the sum to get:
\(\sum 29a_i + \sum - 13b_i\)
And take the coefficients out of the sum:
\(29\sum a_i -13\sum b_i\)
Now replace the known values:
\(29\sum a_i -13\sum b_i = 29*-10 - 13*-20 = -290 + 260 = -30\)
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A cheese manutacturer uses 65 gallons of milk to make 52 pounds of cheese. The weight of the cheese is directly proportional to the number of gallons of milk used to make the cheese,
Which graph represents the relationship between the number of gallons of milk and the number of
pounds of cheese that can be made from the milk?
Answers
Answer:
C
Step-by-step explanation:
Gallons of milk = x
Pounds of cheese = y
65 gallons will make 52 pounds of cheese. That is (65, 52)
Given that the relationship is proportion, therefore, the constant of proportionality would be y/x = 52/65
Simplify,
52/65 = ⅘ (4 pounds of cheese to 5 galloons of milk)
The graph that represents the relationship would have a unit rate of ⅘. Or in other words, would have a point (5, 4) which lies on the graph.
Graph C is the right option.
What is the distance between the points (-1.2, 2.7) and (3.6,9.9)?
Answers
ANSWER:
8.65
SOLUTION:
The distance formula is
\(undefined\)Brian had 6 yards of steel pipe. What is the length of the steel pipe in inches?
Answers
Answer:
216 inches
Step-by-step explanation:
1 yard = 36 inches
6 * 36 =
(6 * 30) + (6 * 6) =
180 + 36 =
216 inches
There are three feet in a yard and 12 inches in a foot.
6x3=18
18x12=216
Please help me with these math questions. And please include an explanation.
Answers
• To find the zero you have to set each factor equal to zero and solving for the variable...
Let's begin..Solution:-(i) x – 3
setting factor equal to zero,
→ x – 3 = 0
→ x = 0 + 3
→ x = 3
(ii) 2x + 1
setting factor equal to zero,
→ 2x + 1 = 0
→ 2x = –1
→ x = -½
(iii) 5x – 10
setting factor equal to zero,
→ 5x - 10 = 0
→ 5x = 10
→ x = 10/5
→ x = 2
(iv) x - √5
setting factor equal to zero,
→ x - √5 = 0
→ x = √5
Hope this helps you!!Have a bless day!!Best of luck!! :)The zeros of each factor are given as follows:
x - 3: x = 3.2x + 1: x = -1/2.5x - 10: x = 2.\(x - \sqrt{5}: x = \sqrt{5}\)How to obtain the zeros?The factor theorem states that a function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.
On the other side, if x - a is a linear factor of the function, x = a is a zero of the function.
Hence the zeros of each linear factor are given as follows:
x - 3: x = 3.2x + 1: x = -1/2.5x - 10: x = 2.\(x - \sqrt{5}: x = \sqrt{5}\)More can be learned about the Factor Theorem at brainly.com/question/24729294
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Talwar wants to invest R5800 at simple interest rate of 12,2% per annum. How many years will it take for the money to grow to R26100
Answers
It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.
To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:
Simple Interest = Principal × Rate × Time
Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:
Time = (Amount - Principal) / (Principal × Rate)
Plugging in the values, we have:
Time = (R26,100 - R5,800) / (R5,800 × 0.122)
= R20,300 / R708.6
≈ 28.67 years
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What is the absolute value of -8.35
Answers
Answer:
8.35
Step-by-step explanation:
To get absolute value, just make it the opposite
Answer: |-8.35| = 8.35
Step-by-step explanation: |-8.35| = 8.35
which expression is a cube root of -2i?
Answers
The cube root of -2i,
⇒ ∛2[ cos(π/6) + i sin(π/6) ]
We can represent -2i in polar form as,
r(cosθ + i sinθ)
by computing its magnitude and angle.
The magnitude of -2i is 2
Since the absolute value of any imaginary number is equal to its magnitude.
To find the angle θ,
We can use the fact that the tangent of an angle is equal to the ratio of the opposite side to the adjacent side.
In this case,
The opposite side is -2 and the adjacent side is 0.
Therefore, we have tanθ = -2/0, which is undefined.
However,
We can use the fact that the cube root of a complex number is equal to the cube root of its magnitude times exp(iθ/3) to find the cube root of -2i.
So, the cube root of -2i is equal to the cube root of 2 times exp(iθ/3).
Now, we need to find the value of θ/3. Since θ is undefined,
we will represent it as π/2 + 2πn,
where n is any integer.
So, θ/3 = (π/2 + 2πn)/3 = π/6 + 2πn/3.
Therefore, the cube root of -2i is equal to
⇒ ∛2 [ cos(π/6 + 2πn/3) + i sin(π/6 + 2πn/3) ]
Now put n = 0
⇒ ∛2[ cos(π/6) + i sin(π/6) ]
This is the final form of the cube root of -2i in the required form.
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Pls help with this question pictured below.
Answers
The implicit derivative is given as follows:
dx/dt(x = 4) = 1/12.
How to obtain the implicit derivative?The function in this problem is given as follows:
y = 3x² + 1.
The implicit derivative, relative to the variable t, is given as follows:
dy/dt = 6x dx/dt.
(the derivative of the constant 1 is of zero).
The parameters for this problem are given as follows:
x = 4, dy/dt = 2.
Hence the derivative is obtained as follows:
2 = 6(4) dx/dt
dx/dt = 2/24
dx/dt = 1/12.
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Please Solve (c-3)^2=100
Answers
Answer:
BODMAS RULE
(c-3)²=100
c²-6c+9=100
c²-6c=100-9
c²-6c=91
c²-6c-91=0
then factories
Please help me thank you I appreciate it
Answers
Answer:
68°
Step-by-step explanation:
PRQ = SRQ gives:
3x-8 = 2x+6
x = 6+8 = 14
So PRQ = SRQ = 34
and
PRS = PRQ+SRQ = 68
2612 ÷13 = ? A. 202 r11 B. 200 r12 O O D. 199111 C. 200 r13
Answers
If you multiply 200 with 13 you get 2600.
To find the remainder subtract 2612 with 2600 which leaves 12.
Write these fractions as whole nombers
8/4
21/3
56/8
48/8
Answers
Answer:2, 7, 7, 6
Step-by-step explanation:
Answer:
1) 8/4 = 2
2) 21/3 = 7
3) 56/8 = 7
4) 48/8 = 6
Step-by-step explanation:
To convert a fraction into a whole number: Divide the numerator by the denominator.
What's a numerator?:
A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.
What's a denominator?:
A denominator is the bottom number in a fraction. So, 4 in 8/4 is the denominator.
1) 8/4 = 8 divided by 4 = 2.
2) 21/3 = 21 divided by 3 = 7
3)56/ 8 = 56 divided by 8 = 7
4) 48 / 8 = 48 divided by 8 = 6
An aircraft has 36 seats available for passengers. The cost per adult is $948 and $748 per child to fly from Melbourne to Cairns. A total of $28,648 was raised on this flight which had all seats fully sold out.
Let x be the number of adults
Write the expression for the number of adult passengers in terms of X.
Answers
Answer:
x
Step-by-step explanation:
The number of adults is given to be x.
1. Find the slope of the line through each pair of points. (7.-20) (-8, -13)
O A. 7/15
O B. 15/7
O C. - 15/7
D. -7/15
Answers
Answer:
The answer is option DStep-by-step explanation:
The slope of a line given two points can be found by using the formula
\(m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\ \)
From the question we have
\(m = \frac{ - 13 - - 20}{ - 8 - 7} = \frac{ - 13 + 20}{ - 15} = - \frac{7}{15} \\ \)
We have the final answer as
\( - \frac{7}{15} \\ \)
Hope this helps you
What is the difference in elevation between the highest and lowest bodiesof water listed in the table below? Write an equation to show how youfound your answer."Height Above Sea LevelBody ofElevation(in feet)WaterCaspian Sea92Lake Maracaibo0Lake Superior600Lake Victoria3,720
Answers
The highest value is the highest positive integer, which is 3720.
The lowest value is the negative value, -92.
To obtain the difference between the two, subtract -92 from 3720. thus we have the following:
\(3720-(-92)\)Add the additive inverse of -92 to 3720.
\(3720-(-92)=3720+92=3812\)To solve the inequality 9x >-4, the inequality sign must be reversed.
True
OR
False
Answers
Answer:
false
Step-by-step explanation:
you only need to reverse the sign when you are dividing by a negative number
Answer: False?
Step-by-step explanation:
AB and AD are tangent to circle C. Find the length of AB, if AB = 8x and AD = x + 9. Round your answer to 2 decimal places.
Answers
When a line is tangent to a circle, it forms a right angle with the radius drawn to the point of tangency. This means that triangle ABD is a right triangle with AB as the hypotenuse.
We can use the Pythagorean theorem to find the length of AB:
AB^2 = AD^2 + BD^2
Since AD = x + 9 and BD = 8x - (x + 9) = 8x - x - 9 = 7x - 9, we can substitute these values into the equation:
(8x)^2 = (x + 9)^2 + (7x - 9)^2
64x^2 = x^2 + 18x + 81 + 49x^2 - 126x + 81
64x^2 = 50x^2 - 108x + 162
14x^2 + 108x - 162 = 0
Dividing the equation by 2, we get:
7x^2 + 54x - 81 = 0
Using the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
a = 7, b = 54, c = -81
x = (-54 ± √(54^2 - 4 * 7 * -81)) / (2 * 7)
x = (-54 ± √(2916 + 2268)) / 14
x = (-54 ± √5184) / 14
x = (-54 ± 72) / 14
Now we solve for x:
Case 1: x = (-54 + 72) / 14 = 18 / 14 = 9 / 7
Case 2: x = (-54 - 72) / 14 = -126 / 14 = -9
Since the length of a segment cannot be negative, we discard the second case and focus on the positive solution.
Therefore, x = 9/7.
Substituting this value back into AB = 8x:
AB = 8 * (9/7) = 72/7 ≈ 10.29
Rounding to 2 decimal places, the length of AB is approximately 10.29 units.
Answer:
To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:
8x = x + 9
Solving for x, we get:
x = 1.5
Therefore, AB = 8x = 8(1.5) = 12.
To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:
AB^2 + BD^2 = AD^2
Substituting the values, we get:
12^2 + BD^2 = (1.5 + 9)^2
Simplifying, we get:
BD^2 = 56.25
Taking the square root of both sides, we get:
BD = 7.5
Hence, the length of AB is 12 and the length of BD is 7.5.
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At a sale this week, a suit is being sold for $244.20. This is 33% of the original price. What is the original price
Answers
Answer:
$740
Step-by-step explanation:
244.20= x(.33)
244.2/.33= x(.33)/.33
740=x
Write the difference 42 – (–41) as a sum. Then simplify.
Answers
Answer:
42 + 41 = 83
Step-by-step explanation:
You can change a subtraction to addition if you change the second number to the opposite sign, "Add the Opposite"
42 - (-41)
= 42 + 41
= 83
find the measure of b
Answers
Answer:
93°
Step-by-step explanation:
8x-25+7x-5=180
15x-30=180
15x=210
x=14
<B=7(14)-5
<B=93°
Mark would like to buy a new guitar that costs $169.00. Mark has saved $55 and receives an allowance of $12 a week. Choose the equation that represents how many weeks, w , it will take for Mark to save enough money to buy the guitar. Responses
Answers
With a weekly budget of $12, Mark will need to save money for 9 weeks, 5 days in order to purchase the guitar.
what is equation ?The value is said to be in its simplified form when divided through its smallest equivalent fraction. How to find the most basic form. Find common factors in the denominator and numerators. Verify a minority integer t verify if it qualifies like a prime number. A statement comprising two rotational symmetry and an equal sign in the middle is called an equation in mathematics. The general form of almost any equation contains the degrees of all variables in descending order. The conventional form of something like a linear equation is an x + b = 0. The general form of a mathematical expression with two variables is an x + b y + c = 0. (or something similar). Equations can be categorized as identities or conditional solutions. An identity holds true irrespective of the value given to the variables.
given
let the week be x
equation = $55 + 12x = $169.00
55 + 12x = 169
12x = 169 - 55
12x = 114
x = 9.5
With a weekly budget of $12, Mark will need to save money for 9 weeks, 5 days in order to purchase the guitar.
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A glacier is a giant mass of rocks and ice that flows downhill like a river. A certain glacier moves at a rate of 19 inches a day. Find the distance in feet the glacier moves in a year. (Assume 285 days a year)
L=___ ft
(Round to two decimal places as needed.)
Answers
L=19(285)
L=5415 ft.
ABCD is a momous where mZDAC = 47+9 and mZDAB=112 - 3
B
C
What is the m2ABC?
MZABC
degrees
Answers
Answer:
53
Step-by-step explanation:
in rhombus, opp angeles are equal.
4x+9 =(11x-3)/2--ac bisects the angle dab
8x+18 = 11x-3
3x = 21
x=7
angle dab = 11*7-3/(2)= 77-3/(2)= 74/2= 37
total of angles = 180
74+2x = 180
2x = 106
x=53
Use a system of linear equations with two variables and two equations to solve. A number is 9 more than another number. Twice
the sum of the two numbers is 30. Find the two numbers. Let the two numbers be represented by x and y. Let y represent the
larger number. Write your answer as an ordered pair (x, y).
Answers
9514 1404 393
Answer:
(x, y) = (3, 12)
Step-by-step explanation:
Using the given variable definitions, we can write the equations ...
y = x + 9
2(x +y) = 30
__
Solving the second equation for y, we have ...
y = 15 -x
Substituting this into the first equation gives ...
15 -x = x +9
6 = 2x . . . . . . . . . add x-9
3 = x . . . . . . . . . . divide by 2
y = 3+9 = 12 . . . . substitute into the first equation
The numbers are (x, y) = (3, 12).
Devi invested a principal of $2750 in her bank account with an interest rate of 1.5%. How much simple interest did she earn in 3 years?
Answers
To calculate the simple interest, we use the following formula:
(Principal) • (interest rate) • (time) = simple interest
Plugging the values in, we will find that:
$2,750 (our principal) • 0.015% (our interest rate represented by a decimal) • 3 (our time period in years) = $123.75 (our simple interest)
Ultimately, Devi made an investment and in 3 years earned a simple interest of $123.75.
Tom would like to take out a secured loan to help pay for a vacation this summer. He has offered his car as collateral. His car is worth $3,500. His bank can offer loans for 80% of collateral value. The vacation he has planned will cost $4,750. Approximately how much additional collateral will Tom need to offer in order to borrow enough to go on his vacation as planned?
Answers
Answer:
c took me a wiel but then realized it was just butterfly method to solve.
Step-by-step explanation:
What’s the correct answer for this?
Answers
Center: (3,-2)
Radius: 6
Rewrite in standard form to find the center (h,k) and radius r.
What kind of multi step do I have to do to prove a is parallel to b and m parallel to n.
Answers
The proof that line n is perpendicular to both a and b is proved below using definition of right angle and perpendicular transversal theorem.
How to prove Perpendicular and Parallel Lines?
We are given that;
Line a is parallel to line b
Line m is parallel to line n.
A) We want to prove that line a is perpendicular to n.
From the image, we see that there is a right angle sign on the opposite side of ∠1 facing m.
Now, we know that by definition of a right angle that ∠1 will also be a right angle.
Since angle 1 is a right angle, then we can say the line transversal a is perpendicular to line m.
B) We want to prove that line b is perpendicular to n.
The definition of the perpendicular transversal theorem, states that if a line is perpendicular to one of two parallel lines, then it is perpendicular to the other.
Thus, b will be perpendicular to n.
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