Answer:
Salesman is not correct
Step-by-step explanation:
First we calculate the share of salesman when 60 percent of bonus is shared among 7 salesmen:
Bonus Share For 7 Salesmen = (0.6)(£ 2100)
Bonus Share For 7 Salesmen = £ 1260
Now, this is equally divided among 7 salesmen:
Bonus Share of 1 Salesmen (when 60% is shared) = S₁ = £ 1260/7
S₁ = £ 180
Now, we calculate the share each salesmen get if bonus is equally divided among 10 people:
Bonus Share of 1 Salesmen (when equally shared) = S₂ = £ 2100/10
S₂ = £ 210
S₂/S₁ = £ 210/£ 180
S₂/S₁ = 1.16
S₂ = 1.16S₁
S₂ = 116% of S₁
This means that if bonus is equally divided between all 10 people then the salesman will get 16 percent more money.
Therefore, salesman is not correct
Question 4: The following data give the numbers of computer keyboards assembled at the Twentieth Century Electronics Company for a sample of 25 days.
76 61 74 62 73 63 73 64 72 64
72 65 72 66 71 66 71 67 70 67
70 68 69 68 68
Determine the (approx) value of the 53rd percentile Round answer to nearest integer:
Answer:
69
Step-by-step explanation:
Since there are 25 values, then n=25.
Now, calculate the index:
i=p/100n=53/100⋅25=53/4.
Since the index i is not an integer, round up: i=14
The percentile is at the position i=14. So, the percentile is 69.
Select all that apply.
Which of the following are linear factors of p(x) = x 3 - 2x 2 - 5x + 6 ?
x + 1
x + 2
x - 1
x - 3
How would you do this question?
Answer:
1) ∫ x² e^(x) dx
4) ∫ x cos(x) dx
Step-by-step explanation:
To solve this problem, eliminate the choices that can be solved by substitution.
In the second problem, we can say u = x², and du = 2x dx.
∫ x cos(x²) dx = ∫ ½ cos(u) du
In the third problem, we can say u = x², and du = 2x dx.
∫ x e^(x²) dx = ∫ ½ e^(u) du
Como se ecribe 8 de 10
en decimale
Need help please ASAP ! The options for the first blank is A.close B.open price C.volume the options for second blank is A.day B.month
Find all excluded values for the expression. That is, find all values of x for which the expression is undefined.
x+6/x² - 6x-27
Answer:
The values of x for the expression is undefined is -3 or 9
Step-by-step explanation:
Given function,
[tex]f(x) = \frac{X +\ 6}{X^2 - 6X-27}[/tex]
The values of x for which the expression is undefined is obtained when the denominator is equal to zero, from the expression it is given by;
x² - 6x - 27 = 0
Factorize the equation
x² + 3x - 9x - 27 = 0
x (x + 3) -9(x + 3) = 0
(x + 3)(x - 9) = 0
x = -3 or x = 9
Therefore, the values of x for the expression is undefined is -3 or 9
1 point
If one person can stand on a 4 square feet floor area, how many persons
can stand on 64 square foot floor area? Which proportion accurately solves
this problem? *
A) 1/4= X/64
B) 1/4= 64/x
C)1/64= 4/x
D)4/64= x/1
Answer:
A) 1/4=X/64
Step-by-step explanation:
It's 1 person every 4 square feet on the floor area so 1/4 would represent that and since we don't know the number of people that fit on 64 square feet on the floor area it would be x/64.
Hope that helps!
BRAINLIEST PLEASE HELP Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. passing through (3,5) and (8,15).
Answer:
Step-by-step explanation:
(15 -5)/(8 - 3)= 10/5= 2
y - 5 = 2(x - 3)
y - 5 = 2x - 6
y = 2x - 1
Which of the following statements are true and which are false? Give reasons for your answers.(i) Only one line can pass through a single point.(ii) There are an infinite number of lines which pass through two distinct points.(iii) A line can be produced indefinitely on both sides.(iv) If two circles are equal, then their radii are equal.(v) if AB=PQ and PQ=XY, then AB=XY.
Complete Question
Which of the following statements are true and which are false? Give reasons for your answers.
(i) Only one line can pass through a single point.
(ii) There are an infinite number of lines which pass through two distinct points.
(iii) A line can be produced indefinitely on both sides.
(iv) If two circles are equal, then their radii are equal.
(v) if AB=PQ and PQ=XY, then AB=XY.
A (i),(ii) - True
(iii),(iv),(v)-False
B(i),(ii),(iii) -True
(iv),(v)-False
C (i),(ii) -False
(iii),(iv),(v)-True
D (i),(ii),(iii) -False
(iv),(v)-True
Answer:
The correct option is C
Step-by-step explanation:
i is false because several lines can pass through a single point
ii is false because only one line can pass through two distinct points
iii is true because you can extend a line from both points (start and end points )
iv is true because when two equal circle are placed together and radius is trace we will discover that they are equal
v is true because from Euclid's First Axiom , if a= c and c = d the a = d
Use the slope formula to find the missing coordinate.
m= 3, P(3, 2) and Q(8,_)
O-1
1
05
Let the missing value = x
Slope is the change in y over the change in x:
3 = (x-2)/ (8-3)
3 = (x-2) / 5
Multiply both sides by 5:
15 = x-2
Add 2 to both sides:
X = 17
The missing coordinate is 17
I need help please helpp
Answer:
I believe it's B.Let me know if it's right,if it not,i'm so sorry
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The other statements incorrectly describe the transformations. C is facing a different direction and so without involving rotations it can not be the reflection of any of the other triangles.
Find 5.5x when x=7.5
Answer:
41.25
Step-by-step explanation:
if x=7.5 in order to find 5.5x you would multiply 5.5 by 7.5
=41.25
Answer:
41.25
Step-by-step explanation:
5.5(7.5) Stubstitue the varuable for the value
41.25 Multiply
If a person drives his car in the speed 50 miles per hour, how far can he cover the distance in 2.5 hours ?
Answer:
Hey there!
50 miles = 1 hour
x miles = 2.5 hours
50/1= x/2.5
x=2.5x50
x=125
The car can go 125 miles.
Hope this helps :)
Answer:
125miles
Step-by-step explanation
distance=speed *time
d=50*2.5
d=125m
The bill at a restaurant was $52.45. You want to leave an 18% tip. What is the
dollar amount of the tip that you will leave? (Enter your answer in the from x.xx or
$x.xx)
Answer:
$9.44
Step-by-step explanation:
51.45 x 0.18 = $9.44
Braden had 216 quarters. If it costs 8
quarters to buy a soda from the vending
machine, how many sodas can he buy?
The area of a square garden is A= 121ft2 how long is each side of the garden?
Answer:
11ft.
Step-by-step explanation:
121 is the square root of 11, but that's not important. basically, you just find out what multiplies to be 121, since it's just side * side. long division can help if you're not allowed to use a calculator. I hope I was at least somewhat helpful. I feel like this wasn't the best explanation out there.
solve it............
Answer:
7
Step-by-step explanation:
1) for '8'; '3'; and '10':
8/2+3+3=10
2) for '2'; '5' and '11':
2/1+5+5=11
3) for '6'; '2' and '?':
6/2+2+2=7
May you please answer question #9
Answer: Approximately 0.78388 seconds
==========================================
Explanation:
Plug in t = 0 to find that
h = -16t^2 - 64t + 60
h = -16(0)^2 - 64(0) + 60
h = 60
The starting height is 60 feet.
-----
Now plug in h = 0 and solve for t.
h = -16t^2 - 64t + 60
0 = -16t^2 - 64t + 60
-16t^2 - 64t + 60 = 0
From here use the quadratic formula
[tex]t = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\t = \frac{-(-64)\pm\sqrt{(-64)^2-4(-16)(60)}}{2(-16)}\\\\t = \frac{64\pm\sqrt{7936}}{-32}\\\\t = \frac{64+\sqrt{7936}}{-32} \ \text{ or } \ t = \frac{64-\sqrt{7936}}{-32}\\\\t \approx -4.78388 \ \text{ or } \ t \approx 0.78388 \\\\[/tex]
We ignore the negative t value as a negative time doesn't make sense.
The only practical answer is roughly t = 0.78388 seconds.
State whether each system is consistent and independent, consistent and
dependent or inconsistent
y = 0.5x
2y = x + 4
consistent and independent
consistent and dependent
inconsistent
none of the above
Help?
Answer:
Step-by-step explanation:
C
The lines are have one solution and are consistent and Independent.
What is Consistent and Inconsistent?Gaining values for x and y allows us to determine whether the pair of linear equations is consistent or inconsistent. The system is consistent if x and y both have the same value. When there are no x and y values that fulfil both equations, the system becomes inconsistent.
Given:
y = 0.5x
2y = x + 4
Now solving the Above Equation
2(0.5x) = x+ 4
x = x+ 4
0 = 4
and, [tex]a_1= 0.5, b_1= -1, c_1= 0\\a_2= 1, b_2 = -2, c_ 2 = 4[/tex]
Now, [tex]a_1/ a_2 = b_1/ b_2\neq c_1/ c_2[/tex]
Then, the lines are have one solution and are consistent and Independent.
Learn more about Consistent and Inconsistent here:
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15 – 2x=3x
the solution is x =
Answer:
x=3
Step-by-step explanation:
15 – 2x=3x
Add 2x to each side
15 – 2x+2x=3x+2x
15 = 5x
Divide each side by 5
15/5 = 5x/5
3 =x
Answer:
3
Step-by-step explanation:
15 - 2x = 3x
Add 2x to both sides
15 = 5x
Divide 5 to both sides
3 = x
Best of Luck!
Which of the following statements are true for using proportions to solve for missing measures? Select three options.
Corresponding dimensions must be in different positions in the ratios.
Corresponding dimensions must be in the same position in the ratios.
D The two ratios in the proportion are equal.
The enlargement or reduction is proportional to the original figure.
D The scale factor will be different for each ratio.
Save and Exit
Next
Submit
Mark this and return
Answer: C D B
Step-by-step explanation:
JUST TOOK THE TEST ON ENDEGENUITYYYYY
The correct statements for using proportions to solve for missing measures are:
Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.What are ratios?Ratios are fractional values representing relations between two quantities.
What are proportions?When two ratios are equal, they are said to be in proportion.
What is a scale factor?The simplest form of a ratio, in a given proportion, is called the scale factor of the proportion.
How to solve the given question?In the question, we are asked to select the correct statements from the given set of statements for using proportions to solve for missing measures.
We analyze each statement:
Corresponding dimensions must be in different positions in the ratios: This is incorrect as the corresponding dimensions need to be in the same position for equality in the units of the ratio.Corresponding dimensions must be in the same position in the ratios: This is correct as the corresponding dimensions need to be in the same position for equality in the units of the ratio.The two ratios in the proportion are equal: This is correct, as it is the basis of proportions (equality of ratios).The enlargement or reduction is proportional to the original figure: This is correct, as the sides are always in proportion to each other in the process of enlargement or reduction.The scale factor will be different for each ratio: This is incorrect, as the scale factor is the simplest form which is always constant.∴ The correct statements for using proportions to solve for missing measures are:
Corresponding dimensions must be in the same position in the ratios.The two ratios in the proportion are equal.The enlargement or reduction is proportional to the original figure.Learn more about Proportions at
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Look at the photo HELPPPP I NEED IT RNN!!!
Answer:
-150
Step-by-step explanation:
midpoint of (5, 8) (-1, -4)
Answer:
(2,2)
Step-by-step explanation:
mid point formula: x1+x2/2 y1+y2/2
5+(-1)=4/2=2
8+(-4)=4/2=2
(2,2)
A new computer is on sale for 1/5
off the original price. If the original price of the computer is $1495, what is the
sale price?
$1794
$1196
$1288
$299
Answer: $299
Step-by-step explanation:
divide the original price by 5
Sale price of the computer is equals to $299.
What is sale price?" Sale price is defined as the discounted price at which goods are sold."
According to the question,
Original price of the computer = $1495
Price decided on sale of a computer = [tex](\frac{1}{5})[/tex] Original price of the computer
Substitute the value to get the sale price of a computer we get,
Sale price of a computer = [tex]\frac{1}{5} (1495)[/tex]
= $299
Hence, sale price of the computer is equals to $299.
Learn more about sale price here
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Which of the following is equivalent to 15.45 + ( − 98.25 ) 15.45+(-98.25)
Answer:
-82.8
Step-by-step explanation:
15.45 + ( − 98.25)
15.45 - 98.25
= -82.8
Since the two terms are of opposite signs, you have to subtract and use the sign of the greater term (positive or negative)
Which of the following math statements contains variables check all that apply A.3+6=x B.3+6=9 C. X+___=9 D.3+__=9
Answers
B.
D.
Markel said he has 4 times
as many yellow cars as
blue cars. What is the ratio
for blue cars to yellow
cars?
Answer:
4:1
Step-by-step explanation:
write 24.23 as a mixed number in simplest form
Answer:
24 23/100
Step-by-step explanation:
The greatest payout for a personal injury was recorded at $163,882,660 in 1993. The car wreck actually occurred in the year 1987. If the guilty part paid in the year the wreck actually happened, what would have been the equivalent payout in 1987?
Answer:
$127,618,279.99
Step-by-step explanation:
Adjusted for inflation, $163,882,660.00 in 1993 is equal to $127,618,279.99 in 1987.
Annual inflation over this period was 4.26%.
Find the straight time pay if you earn $7.90 per hour and worked 37 hours.
Answer: $292.30
Step-by-step explanation: