The probability that the auditor will select a week in which you paid overtime wages and hired is 0.28
In 2010, your company paid overtime wages or hired temporary help during 32 weeks of the year. Overtime was paid for 26 weeks and temporary help was hired for 15 weeks.
What is probablitity?
Probability, can be define as the ratio of favorable outcomes to the n number of total events.
Here, p(a) = Overtime was paid for 26 weeks = 26/32= 0.81
p(b) = temporary help was hired for 15 weeks = 0.46
Required probability = P(a) + P(b) - 1
= 0.81 + 0.46 -1
= 0.28
The the required probability that the auditor will select a week in which you paid overtime wages and hired is 0.28
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Which set of ordered pairs represents a line that is perpendicular to the given set:
(12,3) (9.4)?
Using linear function concepts, it is found that a set of ordered pairs with a slope of 3 is perpendicular to the set (12,3), (9,4).
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.If two lines are perpendicular, the multiplication of their slopes is of -1. The set (12,3), (9,4) has the slope given by:
m = (4 - 3)/(9 - 12) = -1/3.
Hence, for the perpendicular set:
[tex]-\frac{1}{3}m = -1[/tex]
m = 3.
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Find the solution to the system
of equations.
4
y = 2x + 2
3
2
([?], [ ])
-4-3-2/1
1 2 3 4
y=-x-3
-1
-2
3
-4
Answer:
(- 2, - 2 )
Step-by-step explanation:
the solution to the system is at the point of intersection of the 2 lines.
the 2 lines intersect at (- 2, - 2) , then
solution to the system is (2, - 2 )
The table shows the results of a survey of 200 randomly selected people on whether they like watermelon, cantaloupe, or both.
A 4-column table with 3 rows. The first column has no label with entries cantaloupe, not cantaloupe, total. The second column is labeled watermelon with entries 93, 66, 159. The third column is labeled not watermelon with entries 16, 25, 41. The fourth column is labeled total with entries 109, 91, 200.
Which is the marginal relative frequency for the people who do not like cantaloupe?
StartFraction 25 Over 91 EndFraction
StartFraction 66 Over 200 EndFraction
StartFraction 91 Over 200 EndFraction
StartFraction 66 Over 91 EndFraction
The marginal frequency for the people who do not like cantaloupe is StartFraction 91 Over 200 EndFraction/
The correct option is (C),
What is Marginal Relative frequency?Marginal Relative Frequency is the ratio between the frequency of a row total or column total to the total frequency of the data.
Given:
Watermelon Not watermelon Total
Cantaloupe 93 16 109
Not cantaloupe 66 25 91
Total 159 41 200
Hence, the Marginal Relative frequency is = 91/200 = 0.455
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Write 3x^2+12x+20 in the form a(x+b)^2+c
The equation is written as 3(x+12)²+20.The formula for ax² + bx + c is (Ax + B)² + C.
What is the equation?A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.
3x^2+12x+20
The equation is compared the equation with,ax²+bx+c
After comparing the equation we get;
a=3
b=12
c=20
The equation is written in the form as;
⇒a(x+b)^2+c
⇒3(x+12)²+20
The formula for ax² + bx + c is (Ax + B)² + C.
Hence the equation is written as 3(x+12)²+20.
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Which is the graph of the system x + 3y > –3 and y < One-halfx + 1?
Step-by-step explanation:
hope it helps you understand
If you are driving a train and your going over 180 mph, and you pass 20 houses, 10 stores, 3 gas stations, and 1 hospital per every ten minutes, what is the eye color of the train driver??? :) lol
If I am driving the train , the colour of the eye will be my eye colour.
What are Logical Questions ?The questions that do not need critical reasoning while only need logical thinking to find the answer.
It is given that the "If you are driving a train and your going over 180 mph, and you pass 20 houses, 10 stores, 3 gas stations, and 1 hospital per every ten minutes"
If I am driving the train , the colour of the eye will be my eye colour.
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HELP ME PLEASEEE
Beatrice writes down every expression that appears in this problem set, one after the other, linking them with
+ signs between them. She is left with one very large expression on her page. Is that expression a polynomial expression? That is, is it algebraically equivalent to a polynomial?
What if she wrote - signs between the expressions instead?
What if she wrote × signs between the expressions instead?
Is that expression a polynomial expression?
yes because they are terms linked into one expression.
What if she wrote - signs between the expressions instead?
it would still be considered a polynomial.
What if she wrote × signs between the expressions instead?
no because it would be one huge term
what is the simlest form of the ratio 32:48
Answer: 2:3
Step-by-step explanation:
First list out the factors for 32 and 48
32- 1, 2, 4, 8, 16, 32
48- 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The greatest factor they have in common is 16. So, divide both numbers by 16 to get the simplest form of the ratio.
32/16=2
48/16=3
The simplest form is 2:3
rectangle has a base of 10 and a height of 5. What is the perimeter of the rectangle?
Answer:
30
Step-by-step explanation:
P=2(b+h)=2·(10+5)=30
The measure of an angle is 1/2 the measure of its supplement find the measure of each supplement. Help
Answer:
।बवछॅनछॅठै रटटृ रटटृरटॅलठट
) How long does he travel at 30 km/h, if he travels 1.2 h at 20 km/h?
Step-by-step explanation:
please mark me as brainlest
can someone please do this for me
The range is from the maximum point into infinity that is [4, infty) and the vertex is at (0, 4)
Vertex, domain and range of a functionThe given graph is a parabola. It represents the graph of a quadratic equation.
From the shown graph, the parabola has a maximum point at (0, 4). This is also the vertex of the graph
The domain area values along the x-axis while the range lies on the y-axis. From the graph shown, the domain is [-2, 2] (x lies between -2 and 2)
The range is from the maximum point into infinity that is [4, infty)
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30 POINTS PLEASE HURRY
Jonathan and Kevin each rewrote and evaluated the expression (SEE PICTURE BELOW) They arrived at different answers.
Answer:
B. took test
Step-by-step explanation:
Answer:
B. Jonathan is correct. Kevin made an error at step 3.
Step-by-step explanation:
Find the tables with unit rates greater than the unit rate in the graph then arrange these tables in order from least to greatest unit rate
Table 3,4,5,6,7 has a greater value of the unit rate than the unit rate of the graph.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
The unit rate of the graph is;
[tex]r_g = \frac{26-0}{14-0} \\\\ r_g = \frac{13}{7} \\\\ r_g = 1.857[/tex]
The unit rate for the given tables;
[tex]\rm r_1 = \frac{26-13}{14-7}\\\\ r_1 = \frac{13}{7} \\\\ r_1 = 1.857[/tex]
[tex]\rm r_2 = \frac{26-13}{14-7} \\\\ r_2 = \frac{9}{5} \\\\ r_2 = 1.8 < 1.818[/tex]
[tex]r_3 = \frac{34-17}{18-9} \\\\r_3 = \frac{17}{9} \\\\ r_3 = 1.889 > 1.818[/tex]
[tex]\rm r_4 = \frac{42-21}{22-11} \\\\ r_4 = \frac{21}{11} \\\\ r_4 = 1.909 > 1.818[/tex]
[tex]\rm r_5 = \frac{38-19}{20-10} \\\\ r_5 = \frac{19}{10}\\\\ r_ 5 = 1.9 > 1.818[/tex]
[tex]\rm r_6 = \frac{50-25}{26-13} \\\\ r_6 = \frac{25}{13} \\\\ r_6 = 1.923 > 1.818[/tex]
[tex]r_ 7 = \frac{46-23}{24-12} \\\\ r_7 = \frac{23}{12} \\\\r_7 = 1.917 > 1.818[/tex]
Hence, table 3,4,5,6,7 has a greater value of the unit rate than the unit rate of the graph.
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Given that h={A,E,I,O,U},which is the number of possible subsets of set h
There are 32 subsets of the set h.
We have given that h={A,E,I,O,U},
We should count the elements of the set, then put that number as the exponent of 2.
What is the subset?A set A is a subset of another set B if all elements of set A are elements of set B. In other words, set A is contained inside set B.
Remember that 2 should always be the base in finding the number of subsets: 2^5=32
Therefore there are 32 subsets of the set h.
Here set h is denoted by small h but the set is always denoted by capital letters.
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The formula for the surface area of a
sphere that has a radius 7 is shown in
the box below.
SA = 4tr-2
A sphere and one of its dimensions are
shown in the diagram below.
5 in.
What is the surface area, in square
inches, of the sphere?
Step-by-step explanation:
hope you can understand
please help!!! picture has the question and answer choices in it
Answer:
5x-y≥ 1
Step-by-step explanation:
Find the slope of the line to be :
y = 5x -1 <===== the shaded area is less than or equal (because it is a SOLID line...not dashed) to this :
y ≤ 5x-1 re-arrange to
5x-y ≥ 1
One vertex of a triangle is located at (0, 5) on a coordinate grid. After a transformation, the vertex is located at (5, 0).
Which transformations could have taken place? Select two options.
Answer: C & D
Step-by-step explanation: Ro 270, Ro -90
the question is below
Answer:
B. $4.75
Step-by-step explanation:
3(4) + 7 = 19
19/4=4.75
Answer:
B
Step-by-step explanation:
First, 3n + 7 while n = 4 then 3*4 = 12 + 7 = 19. Next, you do 19/4 which is
n
equal to 4.75.
I Hope This Helped :D
Which is the best estimate to the nearest one percent of startfraction 7 over 15 endfraction?
The best estimate to the nearest one percent of the fraction; 7/15 is; 47%.
What is the best estimate of the fraction to the nearest percent?From the task content, it follows that the fraction given whose estimate is to be determined is; 7/15.
The fraction expressed as a percentage is;
(7/15) × 100 %
= 46.667%.
Hence, when rounded to the nearest one percent; = 47%.
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MATHHH. Probability section!!! HELP!
please give the right answer.
Answer:
answer = 1/4 < 7/25
Step-by-step explanation:
the theoretical probability is that because the spinner has 4 equal sized sections, it should land on each 25 times, 25/100 is 1/4
28/100 is the experimental probability of landing on H, so that can be simplified to 7/25 as both numbers can be divisible by 4.
Hope this helps:)
1+1= 2+1= 3+1= 4 so that is the answer to this difficult sum
Answer:
2 = 3 = 4 = 4
Need help finding the one complete period of a non transformed contangent function
One complete period of a non-transformed cotangent function is π.
The period of the function is defined as the interval after which the function value repeats itself.
For example, f(T+x)=f(x)
where T is the period of the function.
Here given that there is a non-transformed function cotangent function.
We have to find the period of the function in which interval the value of the function will repeat.
So for the function y=f(x)=cot x
the period of the function is π. means after π the value of the cotangent repeats.
cot(π+x)=cot x
Then one cycle of the cotangent graph lies between 0 and π.
Therefore One complete period of a non-transformed cotangent function is π.
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what i the solution to this equation
6 (x - 5) = 4x + 20
6 (x - 5) = 4x + 20
6x - 30 = 4x + 20
6x - 4x = 20 + 30
2x = 50
[tex]x = \frac{50}{2} [/tex]
x = 25
Answer: The value of x = 25 ✅
Step-by-step explanation:
Hii! Do you need to know the solution to the equation [tex]\boldsymbol{6(x-5)=4x+20}[/tex]? No problem! (:
Solving EquationsIn any equation, there's a variable that we need to solve for. Here the variable is "x".
So now let's solve for x...
[tex]\twoheadrightarrow\sf 6(x-5)=4x+20[/tex]
[tex]\bullet[/tex] "distribute" 6
[tex]\twoheadrightarrow\sf 6x-30=4x+20[/tex]
[tex]\bullet[/tex] subtract "4x" from both sides
[tex]\twoheadrightarrow\sf 2x-30=20[/tex]
[tex]\bullet[/tex] add "30" to both sides
[tex]\twoheadrightarrow\sf 2x=50[/tex]
[tex]\bullet[/tex] divide both sides by "2"
[tex]\twoheadrightarrow\sf x=25\;\;\;[/tex] ✅
--
Hope that this helped! Best wishes.
[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.[/tex]
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--
[tex]\bigstar\underbrace[/tex]
Please answer this thanks
Answer: down below
Step-by-step explanation:
1. How many hay bales did the farmer sell?
To do that, you need to divide the weight of a hay bale by the total weight of the hay bales that the farmer sold.
That will be 24,300 / 75 = 324 bales
2. Divide the new number (26,700) by the same number 75.
26,700 / 75 = 356 hay bales
Subtract the bales from last year to the bales from this year:
356 bales - 324 bales = 32 bales
What value of n makes the equation true?
-1/5n+7=2
n=
[tex] \frac{ - n}{5} + 7 = 2 \\ \\ \frac{ - n + 35}{5} = 2 \\ \\ - n + 35 = 10 \\ \\ - n = 10 - 35 \\ \\ - n = - 25[/tex]
cancel (-) sign both sides ,
[tex]n = 25.[/tex]
50 POINTS .....................
The option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}[/tex]
[tex]\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have data shown in the picture.
Let's suppose the regression line is:
y = mx + c
Where m is the slope of the regression line and c is the y-intercept of the line.
We can calculate the value of m and c by using the formula.
After calculating, we get:
m = 0.4925
c = -22.26
Mus. Apt. = 0.49253(IQ score) - 22.26
or
Mus. Apt. = -22.26 + 0.4925(IQ score)
Thus, the option (C) Mus. Apt. = -22.26 + 0.4925(IQ score) is correct because the value of slope is 0.4925 and y-intercept is -22.26.
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Answer:
The option (C) Mus. Apt. = -22.26 + 0.4925[the IQ score] is the correct answer. Because the value of slope is 0.4925 and the y-intercept is -22.26.
solve for y in 1/8^2-3y=2^y-2
The value of y is 2.33924.
What is equation?
An equation in math is an equality relationship between two expressions written on both sides of the equal to sign.
Given:
(1/8)²-3y = [tex]2^{y}[/tex]-2
1/64 - 3y = [tex]2^{y}[/tex]-2
1/64+ 2 = [tex]2^{y}[/tex]+3y
129/2 = [tex]2^{y}[/tex]+3y
Taking log on both side
log 129 - log 2 = y log 2 + 3 log y
2.11 - 0.301 = 0.301 y + 3 log y
1.809 = 0.301 y + 3 log y
1.809/3= 0.1 y + log y
0.603 = 0.1 y + log y
y = [tex]10^{\frac{603-100y}{1000}}[/tex]
y= 2.33924
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Which integer is the smallest? A. -84 B. -4 OC. 34 OD. 24 Advanced Placement, AP AP Central", College Board", and SAT are trademarks registered by the Colleg ACT is a trademark registered by ACT, Inc., which is not affiliated with, and does not endorse, this website. Copyright 2010-2022 edtell, LLC. All rights reserved. Portions of this software are copyrighted by other partie. Which integer is the smallest ? A. -84 B. -4 OC . 34 OD . 24 Advanced Placement , AP AP Central " , College Board " , and SAT are trademarks registered by the Colleg ACT is a trademark registered by ACT , Inc. , which is not affiliated with , and does not endorse , this website . Copyright 2010-2022 edtell , LLC . All rights reserved . Portions of this software are copyrighted by other partie .
Answer: B -4
Step-by-step explanation: I think it is B because -4 is smaller than A,C and D.
The smallest integer among the options provided is option A, which is -84.
In the context of integers, smaller values are considered to be "less" than larger values.
In this case, we can compare the given integers to determine the smallest one.
Comparing the options:
A. -84
B. -4
C. 34
D. 24
Out of these options, -84 is the smallest integer because it has the lowest numerical value.
The negative sign indicates that it is a number less than zero, and the absolute value of 84 is greater than the absolute values of -4, 34, and 24.
Therefore, based on numerical value, -84 is the smallest integer among the options given.
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What is the value of x and y?
Answer:
[tex]\fbox {x = 6 and y = 12}[/tex]
Step-by-step explanation:
Taking the tan and cos values to find x and y :
tan 60° = √3 = 6√3/x⇒ x = 6cos 30° = √3/2 = 6√3/y⇒ y = 12Answer:
x = 6 and y = 12
Step-by-step explanation:
30-60-90 Triangle Theorem
A special right-angled triangle where:
Angles are in the ratio 1 : 2 : 3Sides are in the ratio 1 : √3 : 2Therefore, the formula for the sides is b : b√3 : 2b where:
b = shortest side opposite the 30° angleb√3 = side opposite the 60° angle2b = longest side (hypotenuse) is opposite the right angleThe given triangle is a 30-60-90 triangle, therefore the ratio of its sides is b : b√3 : 2b
We have been given the measure of the side opposite the 60° angle.
⇒ b√3 = 6√3
So b = 6
Therefore, substituting the found value of b into the formula, the sides are in the ratio: 6 : 6√3 : 12
⇒ x = 6 (shortest side)
⇒ y = 12 (longest sides)
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