Answer:
4 years
Step-by-step explanation:
Each year the guitar is worth 80% of its previous worth
1875 ( .80)^n = 768 where n = years
n=4
A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are given:
50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45
The following histogram is a representation of the data.
A histogram has ages on the x-axis, and frequency on the y-axis. Ages 20 to 24 has a frequency of 2, 25 to 29 is 2, 30 to 34 is 5, 35 to 39 is 4, 40 to 44 is 5, 45 to 49 is 5, 50 to 54 is 1, 55 to 59 is 1.
Calculate the mean and median ages.
a.
The mean age is 38.28. The median age is 38.
b.
The mean age is 38. The median age is 38.28.
c.
The mean age is 37.08. The median age is 38.
d.
The mean age is 36.88. The median age is 37.08.
Please select the best answer from the choices provided
A
B
C
D
The mean and median of the given set of data are respectively; The mean age is 38.28. The median age is 38.
How to find the mean and median of a set of data?The mean simply means the average of the set of data. Thus;
Mean = ∑x/n
∑x = 22 + 24 + 28 + 28 + 30 + 31 + 31 + 32 + 32 + 35 + 36 + 37 + 38 + 41 + 42 + 42 + 44 + 44 + 45 + 46 + 46 + 47 + 47 + 49 + 50
∑x = 957
Mean = 957/25
Mean ≈ 38.28
B) Median is the midterm when arranged in ascending order. When we arrange in ascending order, we get;
22, 24, 28, 28, 30, 31, 31, 32, 32, 35, 36, 37, 38, 41, 42, 42, 44, 44, 45, 46, 46, 47, 47, 49, 50
Thus, the median is 38.
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According to the general equation for conditional probability, if P(A n B') = 2/9 and P(B) = 1/3, what is P( A I B')?
A. 5/6
B. 2/3
C. 1/6
D. 1/3
Answer:
B. 2/3Step-by-step explanation:
Formula:
[tex]p\left( A|B\right) =\frac{p\left( A\cap B\right) }{p\left( B\right) }[/tex]
Then
[tex]p\left( A|B\right) =\frac{\frac{2}{9} }{\frac{1}{3} } =\frac{2}{9} \times \frac{3}{1}=\frac{6}{9}=\frac{2}{3}[/tex]
Determine u-x and o-x from the given parameters of the population and the sample.size. round the answer to the nearest thousandth where appropriate u=27 o=5 n=14
The u-x and o-x from the given parameters of the population and the sample size will be u =28 and standard deviation is 5.
How to calculate the values?From the information given about the population and sample mean, the values include:
u=27 o=5 n=14
The standard deviation will be:
= 5/✓14
= 5/3.74
= 1.34
Therefore, u-x and o-x from the given parameters of the population and the sample size will be u =28 and standard deviation is 1.34.
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is the U.S. ever on sale to canadians?
Answer:
No because Us is powerful country canada is also powerful but U S ever sale to candians
Grades 3, 4, and 5 have their annual field day together. Each grade is given 15 gallons of water. If there are a total of 370 students, will there be enough water for each student to have 2 cups? First, solve for how many cups the students have.
Using proportions, it is found that the number of cups per student is of 1.97. hence there will not be enough for each student to have 2 cups.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Each gallon is worth 16 cups, hence, since each grade is given 15 gallons of water, and the trip consists of three grades, the number of cups is given by:
C = 3 x 15 x 16 = 720.
There is a total of 370 students, hence the number of cups per student is given by:
n = 720/370 = 1.97.
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Part 1: Given cosine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,∞).
Part 2: Given θ = 495°, convert the value of θ to radians and find sec θ.
The cosine ratio is given as:
[tex]\cos(\theta) = \frac{\sqrt 3}{2}[/tex]
See attachment for the graph of [tex]\cos(\theta) = \frac{\sqrt 3}{2}[/tex] under the domain of [0,∞)
From the graph, we can see that some values of [tex]\theta[/tex] when [tex]\cos(\theta) = \frac{\sqrt 3}{2}[/tex] are:
[tex]\theta = \frac{\pi}{6}[/tex] [tex]\theta = \frac{11\pi}{6}[/tex] and [tex]\theta = \frac{13\pi}{6}[/tex]
The value of sec θWe have:
θ = 495°
Convert to radians
[tex]\theta = 495 * \frac{\pi}{180}[/tex]
Evaluate
[tex]\theta = \frac{11\pi}{4}[/tex]
The value of sec θ is then calculated as:
[tex]\sec(\theta) = \sec(\frac{11\pi}{4})[/tex]
Using a calculator, we have:
[tex]\sec(\theta) = -1.414[/tex]
Hence, the value of [tex]\sec(\theta)[/tex] is -1.414
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The product of 80 and 5,000 is...
Answer: 400,000
Step-by-step explanation:
The product is the result of multiplication. In other words, you would multiply 80×5,000.
I hope this helps!! :)
John Pelson's weekly net pay is $972.11. His weekly deductions are $185.00 for FIT; 5% of gross for SIT; 2% of gross for CIT; Social Security and Medicare; $64.00 for health insurance; and $25.00 for charity? Find the weekly gross pay
Based on the calculations below, the weekly gross pay of John Pelson is $1,339.90.
How to calculate gross pay?Let G represents weekly gross pay. The gross pay can now be calculated as follows:
Net pay = G – FIT – SIT – CIT - Health insurance – Charity ……………….. (1)
Substitute all the relevant values into the equation (1) and solve as follows:
$972.11 = G – $185.00 – 0.05G – 0.02G – $64.00 – $25.00
$972.11 + $185.00 + $64.00 + $25.00 = G – 0.05G – 0.02G
$1,246.11 = (1 – 0.05 – 0.02)G
$1,246.11 = 0.93G
G = $1,246.11 / 0.93
G = $1,339.90
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Which of the following is an example of a permutation?
The correct answer that is an example of a permutation is; D: The number of ways 7 books can be selected from 50.
How to solve permutation problems?
Formula for permutation is;
nPr = n!/(n - r)!
Now, permutation is defined as the arrangement of objects in a definite order. Thus, looking at the given options, the only one that depicts permutation is Option D.
Thus, the correct answer is the number of ways 7 books can be selected from 50.
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write each equation in slope intercept form x+7y=48
Answer:
y=-1/7+48/7
Step-by-step explanation:
You want to isolate the Y so you subtract the x to the other side.
Next you divide both numbers on the right hand side by 7 and that gives you
y=-1/7+48/7
can someone help please
Answer:
2 good scoops
Step-by-step explanation:
I got you I think
A ray extends forever in one direction. True or False
Answer:
True
Step-by-step explanation:
Rays have one endpoint and one arrow, which means that they extend forever in one direction.
A bowl contains 28 black, 21 red, 23 blue, and 10 green balls
A ball is drawn at random. P (blue).
Answer:
P (blue) = 23 / 82
Step-by-step explanation:
There are 23 blue out of 82 (28 + 21 + 23 + 10 = 82) balls
or,
23 / 82
So, the probability of a blue ball being chosen is 23/82
(or a 28% chance [rounded])
Factoriser: X=a^ 2 b^ 2 +2a\%+a^ 4 7/2
The factorized expression of x = a²b² + 2a + a⁴ is x = a(ab² + 2 + a³)
How to factorize the expression?The expression is given as:
x = a²b² + 2a + a⁴
Factor out a from the expression
x = a(ab² + 2 + a³)
The above expression cannot be further factorized.
Hence, the factorized expression of x = a²b² + 2a + a⁴ is x = a(ab² + 2 + a³)
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Find the surface area of this cube 7m 7m 7m. Be sure to include the correct unit in your answer.
Answer:
294[tex]m^2[/tex]
Step-by-step explanation:
The area of one face of the cube would be 7 x 7 = 49 [tex]m^2[/tex]
Since there are 6 faces on a cube, the total surface area would therefore be 49 x 6 = [tex]294m^2[/tex]
Helppp what’s the answer
Answer:
players on both teams are about the same height on average
Step-by-step explanation:
because both are same
Find the area of the sector in terms of pi. 170 6 Area = [?] T
Answer:
see the attachment photo!
HELP ASAP!!!!!!!!!!!
Answer:
a) ΔCED ~ ΔCAB
b) 157.5 m
Step-by-step explanation:
The similarity statement for geometric figures lists the corresponding vertices in the same order. Corresponding sides of similar figures are proportional. That fact can be used to find the missing side length.
__
a)The right angles are corresponding. Angle C corresponds to itself, so the similarity statement can be written ...
ΔCED ~ ΔCAB
__
b)Corresponding sides are proportional, so we can write ...
AB/AC = ED/EC
AB/(50+160) = 120/160 . . . . . using the numerical values
AB = 210 × 120/160 = 157.5 . . . meters
The length of the lake is 157.5 meters.
For what value of the constant a will the system of linear equations 6x-5y=3 and 3x+ay=1 have no solution
The value of the constant a will the system of linear equations 6x-5y=3 and 3x+ay=1 have no solution is -5/2
System of equationFor a system of equation to have no solution, the expression on both sides must be different.
Given the system of equation
6x-5y=3 and
3x+ay=1
For the equations to have no solution, the a1/a2= b1/b2
Substitute
6/3 = -5/a
Cross multiply
2 = -5/a
a= -5/2
Hence the value of the constant a will the system of linear equations 6x-5y=3 and 3x+ay=1 have no solution is -5/2
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If the perimeter of an equilateral triangle is 30cm, find its area.
Answer:
A ≈ 43.3 cm²
Step-by-step explanation:
the area (A) of an equilateral triangle is calculated as
A = [tex]\frac{s^2\sqrt{3} }{4}[/tex] ( s is a side of the triangle )
given perimeter = 30 cm , then
s = 30 cm ÷ 3 = 10 cm
then
A = [tex]\frac{10^2\sqrt{3} }{4}[/tex] = [tex]\frac{100\sqrt{3} }{4}[/tex] = 25[tex]\sqrt{3}[/tex] ≈ 43.3 cm² ( to the nearest tenth )
When Jessie goes to the mall, she alwavs makes sure to have $10 for lunch at the food court. At the tood court, her favorite restaurant is Wings I Stuff. Each bone-in wing costs $0.35 each and each boneless wing costs 50.45 each. What is the greatest number of each wing that she can purchase with her money?
The computation shows that the greatest number of each wing that she can purchase with her money will be 28 wings.
How to calculate the value?From the information, Jessie goes to the mall, she alwavs makes sure to have $10 for lunch at the food.
In this case, he cannot be able to buy boneless wings a it cost $50.45. Therefore, the number of bone in wing that can be bought will be:
= 10/0.35
= 28
Therefore, the computation shows that the greatest number of each wing that she can purchase with her money will be 28 wings.
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Select ALL the correct answers. Let f(t) be the amount of garbage, in tons, produced by a city, and let t be the time in years after 2000. Which statements are true for the given function? When f(12) = 2,155, the 12 represents "12 tons of garbage produced," and the 2,155 represents "the year 2155." The independent variable is t. The dependent variable is f(t). The independent variable is f(t). The dependent variable is t. When f(4) = 1,458.6, the 4 represents "the year 2004," and the 1,458.6 represents "1,458.6 tons of garbage produced." When f(2) = 1,323, the 2 represents "the year 2002," and the 1,323 represents "1,323 tons of garbage produced." Reset Next
Using function concepts, it is found that the correct statements are given by:
The independent variable is t. The dependent variable is f(t).When f(4) = 1,458.6, the 4 represents "the year 2004," and the 1,458.6 represents "1,458.6 tons of garbage produced." When f(2) = 1,323, the 2 represents "the year 2002," and the 1,323 represents "1,323 tons of garbage produced."What does the function f(t) represents?It gives the amount of garbage, in tons, produced by a city in t years after 2000.
The amount depends on the number of years, hence:
t is the independent variable.f(t) is the dependent variable.Hence, the correct statements are given by:
The independent variable is t. The dependent variable is f(t).When f(4) = 1,458.6, the 4 represents "the year 2004," and the 1,458.6 represents "1,458.6 tons of garbage produced." When f(2) = 1,323, the 2 represents "the year 2002," and the 1,323 represents "1,323 tons of garbage produced."More can be learned about functions at https://brainly.com/question/25537936
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How do I complete this?
Answer + Step-by-step explanation:
CE bisects AB
CE ⊥ AB
Then
CE is the perpendicular bisector of AB.
Therefore
CA = CB and DA = DB
…………………………………
we have :
CA = CB
DA = DB
CD is a common side of the two triangles ACD and BCD
Hence , ΔACD ≅ ΔBCD
⇒ ∠CAD ≅ ∠CBD.
PLEASE ILL GIVE 25 POINTS ANS MARK BRAINIEST IF SOMEONE GIVES ME THE RIGHT ANSWER PLEASE PLEASE PLWASE
Answer:
Radius:3.14
Circumference: 6.28
Step-by-step explanation:
C=2(pi)(r)
replace r with 1
and you get 6.28
R=(pi)(r)^2
Replace r with 1
multiply and you get 3.14
Find the missing side of this right triangle.
X
9
22
X = [?]
Enter the number that belongs in the green box.
Answer:
x = sqrt(403)
Step-by-step explanation:
Use Pythagorean Theorem for right triangles
x^2 + 9^2 = 22^2
x = sqrt 403
MATH
•••••••••
AGAIN DON'T DELETE THIS QUESTION!
••••••••••••
PLEASE ANSWER THIS CORRECTLY
(NEED SOLUTIONS)
•••••••••••••••
Step-by-step explanation:
See the attached pics it explains everything
Answer:
Corresponding Angles Theorem
When a straight line intersects 2 parallel lines, the angles in the same relative position are congruent (equal).
Alternate Exterior Angles Theorem
When a straight line intersects 2 parallel lines, the alternate exterior angles are congruent (equal).
Vertical Angle Theorem
When two straight lines intersect, the vertical angles are congruent (equal).
Part AQ1. As s ║ c we can apply the Corresponding Angles Theorem:
⇒ 11x - 5 = 116
⇒ 11x - 5 + 5 = 116 + 5
⇒ 11x = 121
⇒ 11x ÷ 11 = 121 ÷ 11
⇒ x = 11
Q2. As s ║ c we can apply the Alternative Exterior Angles Theorem:
⇒ 12x - 4 = 148
⇒ 12x - 4 + 4 = 148 + 4
⇒ 12x = 152
⇒ 12x ÷ 12 = 152 ÷ 12
⇒ x = 38/3 = 12.7 (nearest tenth)
Part BQ1. As j ⊥ r then the sum of the angles is 90°
⇒ 4x + 6x + 10 = 90
⇒ 10x + 10 - 10 = 90 - 10
⇒ 10x = 80
⇒ 10x ÷ 10 = 80 ÷ 10
⇒ x = 8
Q2. As j ⊥ r we can apply the Vertical Angles Theorem:
⇒ 5x - 10 = x + 70
⇒ 5x - 10 + 10 = x + 70 + 10
⇒ 5x = x + 80
⇒ 5x - x = x + 80 - x
⇒ 4x = 80
⇒ 4x ÷ 4 = 80 ÷ 4
⇒ x = 20
anyone who can solve this problem
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Solve
x=4
-7x +y =-22
Answer:
y = 6
Step-by-step explanation:
-7 (4) + y = -22
-28 + y = - 22
+28 + 28
y = 6
choose the symbol for the line XY.
The mathematical symbol for the line XY is XY(a line on top it) . The first option
How to represent a line with a symbol?There are so many mathematical symbols use in geometry. They include ∠(angles), ⊥(perpendicular line), Δ(triangle), ≅(congruency) and many more.
Therefore, the symbol for the line XY is as follows;
XY(a line on top it)
It means line segment "XY"
In words, it is the line segment between X and Y
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Fill in the blank.
5 × 5/2 = __ x 1/6
Answer:
25
Step-by-step explanation:
When multiplying a whole number by a fraction, the first step is to multiply the whole number by the numerator. Then, you divide by the denominator. For example, on the left side, 5 x 5 = 25. You are left with 25/6. Finally, when you divide by 6, you are left with 4.166.....
If the denominator is the same (6) on both sides, to get the same answer, you somehow need to get the numerator (25) the same. So, what whole number can be multiplied by 1 to get 25? This number is 25. Therefore, the missing number is 25. This answer is correct because 25 x 1 = 25. You would be left with 25/6 and get a final answer of 4.166....