Answer:
7/12 h
Step-by-step explanation:
1/3 of 1 3/4 = 1/3 of 7/4 = 1/3 x 7/4 = 7/12 h
The following table shows the salary of 7 people in an office last year.
Name Income
Andy £13500
Bevan £27500
Cheryl £13750
Deva £79000
Elliott £18750
Frankie £27500
Grace £15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service.
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
Mean of worker's salary = £27,785.71 (Approx.)Mean of worker's salary[Excluding Deva's income] = £16,500 (Approx.)Step-by-step explanation:
Given:
Total number of worker = 7
Find;
1] Mean of worker's salary
2] Mean of worker's salary[Excluding Deva's income]
Computation:
Mean = Sum of all observation / Total number of observation
1] Mean of worker's salary = [13,500 + 27,500 + 13,750 + 79,000 + 18,750 + 27,500 + 15,000] / 7
Mean of worker's salary = [194,500] / 7
Mean of worker's salary = £27,785.71 (Approx.)
2] Mean of worker's salary[Excluding Deva's income] = [13,500 + 27,500 + 13,750 + 18,750 + 27,500 + 15,000] / 6
Mean of worker's salary[Excluding Deva's income] = [115,500]/7
Mean of worker's salary[Excluding Deva's income] = £16,500 (Approx.)
Find the missing side
Answer:
Use Mathpapa to find using formula:
55^2+19^2=c^2
Step-by-step explanation:
I can't straightforward give you answers; it'll ruin your chances of going to university! Hopefully you learned the concept.
Can someone please help me solve this
20 points to the person who can help me solve
Answer:
7/15
Step-by-step explanation:
P(appetizers with cheese) = number with cheese / total = 1/5
P(entrees with cheese) = number with cheese / total = 1/3
It is the P(a) + P(b) - P(a and b)
We cannot double count the cheese and cheese event)
P( cheese and cheese) = 1/3 * 1/5 = 1/15
1/5 + 1/3 - 1/15
3/15 + 5/15 -1/15
8/15 - 1/15
7/15
What is the product?
Answer:
-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³
Step-by-step explanation:
( - 6a³b + 2ab²)( 5a² - 2ab² b)
multiply the second parantheses by each term from the first parantheses.
-6a³b×(5a²- 2ab²b -b)+2ab×(5a² -2ab²b-b)
-6a³b× (5a² - 2ab² b) +2ab × (5a² - 2ab² b)
-30 a⁵b + 12a⁴b² + 6a³b²+ 10a³b² - 4a²b⁴ - 2ab
combine like terms
-30a⁵b + 12a⁴b² + 16a³b² - 4a²b⁴ - 2ab³
need some help...............
Answer:
I dont see the whole question
Step-by-step explanation:
Answer:
Remember the relation:
Distance = Speed*Time.
Then if we define:
y = distance
x = time
Speed = 50km/hr
Then we can write the relation between distance and time is:
y = (50km/hr)*x
This is the equation we need to graph.
To graph it, we can just find two points of that equation, and then draw a line that connects them:
For example if we have x = 0hr then:
y = (50km/hr)*0hr = 0km
then we have the point (0hr, 0km)
If now we use the point x = 1hr, then:
y = (50km/hr)*1hr = 50km
Then we also have the point (1hr, 50km)
Now we can draw these two points and connect them by a line, that line is the graph of the equation.
The graph of the equation can be seen below:
What is the following difference?
2ab2/192an? -5 V81a4 b5
Answer:
C
Step-by-step explanation:
2ab * sqrt[3](192ab^2) - 5 * sqrt[3](81 a^4b^5) =
= 2ab * sqrt[3](4^3 * 3 * a * b^2) - 5 * sqrt[3](3^3 * 3 * a^3 * a * b^3 * b^2)
= 2ab * 4 sqrt[3](3 * a * b^2) - 5 * 3 * a * b * sqrt[3](3 * a * b^2)
= 8ab * sqrt[3](3 * a * b^2) - 15ab * sqrt[3](3 * a * b^2)
= -7ab * sqrt[3](3ab^2)
Answer: C
A pipeline is to be run to a resort community which is on an island 16 kilometres from the closest point on the shoreline. The water source for the pipe is 30 kilometres down the shore. If it costs $500/km to lay pipe through water and $300/km to lay pipe on land, at what point on the shoreline should the pipe turn into the water to minimize cost? What is the total cost?
Answer:
hi pero love youkiss youStep-by-step explanation:
helli
The graph compares the scores earned by 100 students on a pre-test and a post-test.
Two box and whisker plots showing Pre-Test and Post-Test scores on a number line from 0 to 100. The upper plot represents the pre-test scores. For this upper plot, the minimum number is 0, the maximum number is 78, the right side of the box is 60, the left side of the box is 16, and the bar in the box is at 30. The lower plot represents the post-test scores. For this lower plot, the minimum number is 4, the maximum number is 100, the right side of the box is 83, the left side of the box is 30, and the bar in the box is at 45.
About how many more students scored greater than 30% on the post-test than on the pre-test?
15
Answer:
25 more studentsStep-by-step explanation:
30% mark represents:
50% on pre-test and 25% on post test.So
50% of 100 = 50 students scored greater than 30%75% of 100 = 75 students scored greater than 30%.The difference is:
75 - 50 = 25 studentsAnswer:
25 students
Step-by-step explanation:
The sum of a number and its square is 12 . Find the number
Answer:
Two solutions
3
-4
Step-by-step explanation:
3 + 3²
3 + 9 = 12
-------------------
-4 + (-4)²
-4 + 16 = 12
the graph of x =-2 is a line parallel to the
Answer:
If we know that the equation of the line [tex]x = -2[/tex] is parallel to the y-axis.
Step-by-step explanation:
The equation of a line parallel to the y-axis is of the form [tex]x = a[/tex], where [tex]a[/tex] is the x-coordinate of the point of the line passing through the x-axis. Then, if we know that the equation of the line [tex]x = -2[/tex] is parallel to the y-axis.
Please help!
Does these set of numbers form a Pythagorean triple? Explain.
8,6,9
Answer:
no
Step-by-step explanation
3,6,9
Guys This is one of the most difficult question .
I salute the person who answer it correctly
The question goes like this :
The present price of a Camera is $32400. After day to day use, its price depriciates !! in such a way that its price will be $0 in 12 years ,, Then calculate the ptice of the Camera after 4 years.
Answer:
$21,600
Step-by-step explanation:
32400÷12=2700
2700×4=10,800
32400-10800=21600
Answer: $21,600
Step-by-step explanation: 32400÷12=2700
2700×4=10,80032400-10800=21600The fuel for a chain saw is a mix of oil and gasoline. The label says to mix 5 ounces of oil with 11 gallons of gasoline. How much oil would you use if you had 22 gallons of gasoline?
Answer: 10 ounces
Step-by-step explanation:
Given
The label says to mix 5 ounces of oil with 11 gallons of gasoline
for 22 gallons of gasoline that is, double the previous amount, oil required would also be doubled.
Oil required would be 10 ounce.
Use SOH CAH TOA to identify the Cosine C.
Explanation:
This is because cosine is the ratio of adjacent over hypotenuse
cos(angle) = adjacent/hypotenuse
In this case, 20 is the adjacent side to the reference angle C. The hypotenuse is the longest side 29.
Write your answer in its simplest form, please
Answer:
r = 16, q = 16√2
Step-by-step explanation:
This is a 45° 45° 90° triangle. In this type of triangle, the legs of said shape will be equal and the hypotenuse will be the leg length multiplied by √2.
Therefore, r = 16 and q = 16√2.
Answer:
r = 16, c = 22.63
Step-by-step explanation:
tan 45° = 16/r
r = 16/ tan 45°
r = 16
c² = a² + b²
c² = 16² + 16²
c² = 256 + 256
c² = 512
c = 22.63
The lenten on a map states that 1 inch is 40 miles. If you measure 5 inches on the map, how many miles would the actual distance be?
===============================================
Work Shown:
(1 inch)/(40 miles) = (5 inches)/(x miles)
1/40 = 5/x
1*x = 40*5 .... cross multiply
x = 200 miles
------------
We could also look at it like this:
1 inch = 40 miles
5*(1 inch) = 5*(40 miles) .... multiply both sides by 5
5 inches = 200 miles
2x-1+3x=0 5x-1=0 how can we get equation b from a
Rewrite one side (or both) by combining like terms.
What is equation?It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
2x – 1 + 3x = 0..........(A)
5x – 1 = 0................(B)
To get Equation B from A, we would rewrite one side (or both) by combining like terms
2x – 1 + 3x = 0
5x – 1 = 0
Learn more about equation here:
brainly.com/question/10413253
#SPJ7
Factor x2−6x+8 (x+2)(x+6) (x−4)(x−2) (x−5)(x−3) (x+4)(x−4)
Answer:
(x-4) (x-2)
Step-by-step explanation:
x^2−6x+8
What 2 numbers multiply to 8 and add to -6
-4*-2 = -8
-4+-2 = -6
(x-4) (x-2)
The domain of the function is the set of all real numbers, and the range of the function is the set of all real numbers greater than or equal to
Answer:
Step-by-step explanation:
if the pressure is 50 Pa and the mass of the object is 50 kg ,what is the surface area of the object?
Answer:
9.81m^2
Step-by-step explanation:
Given data
Pressure P= 50Pa
Mass M= 50kg
Weight= Mg= 50*9.81= 490.5N
Hence Force= 490.5N
We know that Pressure= Force/Area
Substitute
50= 490.5/Area
Area= 490.5/50
Area= 9.81 m^2
Hence the area is 9.81m^2
A bag contain four black B) and
three R balls. The ball drawn from
the bag, without replacement. Find the
Proberbility of drawing the balls in
the Order B,R B,R B,R and B
Answer:
6912 / 823,543 or approximately 0.8%
Step-by-step explanation:
4 black
3 red
7 total
P(B) = 4/7
P(R) = 3/7
4/7 x 3/7 x 4/7 x 3/7 x 4/7 x 3/7 x 4/7 = 6912 / 823,543
i have no idea please help
Answer: D
Step-by-step explanation:
I’m like 90% sure it’s D ♀️
Answer:
D
Step-by-step explanation:
Domain is how far the graph goes left to right.
The left arrow goes left into -infinity forever
The right arrow goes down and to the right forever, into infinity
Thank you ! Plz show your reasoning<3
x=
y=
Answer:
x= 2.67
y= 7
Step-by-step explanation:
I want you to know that I might be wrong.
I times 3 and 2.67 which gave me 8.
3 * 2.67 equals= 8.01
I added 8.01 to 7 which gave me 15.
heyy need help seriously and someone better help dont answer for points and or putting a site or ill report you
Answer:
5. add all of those numbers and watch for like term which are h's. honestly im giving you how to do the problems, but you need to solve it.
6. multiply a rectangle and then the other rectangle and then find like terms and add them up.
if you need any help just comment, see you and hope you understand this, if not comment.
A company sells widgets. The amount of profit, y, made by the company, is related to
the selling price of each widget, x, by the given equation. Using this equation, find out
what price the widgets should be sold for, to the nearest cent, for the company to
make the maximum profit.
y = -x2 + 72x – 458
Answer:
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
Step-by-step explanation:
The amount of profit y made by the company from selling each widget at x price is modeled by the equation:
[tex]y=-x^2+72x-458[/tex]
Since this is a quadratic with a negative leading coefficient, its maximum will occur at its vertex point. We want to find the price that the widget should be sold to make the maximum profit. So, we want to find the x-coordinate of the vertex. This is given by the formula:
[tex]\displaystyle x=-\frac{b}{2a}[/tex]
In this case, a = -1, b = 72, and c = -458. Substitute and evaluate:
[tex]\displaystyle x=-\frac{72}{2(-1)}=36[/tex]
In order to make the maximum profit, the company should sell each widget at (the currency isn't given, so I'll be assuming USD) $36.
What is the slope of the line that contains these
points?
х 5 6 7 8
y -3 -1 1 3
please help w the question in the pic, thanksss!
Step-by-step explanation:
everything can be found in the picture
Jorden has already saced 35$. He wants to have 80$. He earns $6 per hour doing yard work which function will help jorden gigure out how many more hours [h] he needs to work
Answer:
Number of hours= 7.5
Step-by-step explanation:
Giving the following information:
Amount saved= $35
Hourly rate= $6
Total objective= $80
To calculate the number of hours to be saved, we need to use the following formula:
Number of hours= difference needed / hourly rate
Number of hours= (80 - 35) / 6
Number of hours= 45/6
Number of hours= 7.5
Please Hurry!!!!
The sum of two numbers is 44. The smaller number is 14 less than the larger number. What are the numbers?
Larger Number:
Smaller Number:
Answer:
Smaller number = 15
Larger number = 29
Step-by-step explanation:
Let smaller number be S
Let larger number be L
Given :
Sum = 44. That is , S + L = 44
Smaller number is 14 less than larger number. That is , S = L - 14
Therefore the equations are :
S + L = 44 ------(1)
S = L - 14 ------(2)
Substitute (2) in ( 1 )
(L - 14 ) + L = 44
L - 14 + L = 44
2 L = 44 + 14
2 L = 58
L = 29
Substitute L in (1) : S = L - 14 = 29 - 14 = 15
Answer:
Larger Number: 29
Smaller Number: 15
Step-by-step explanation:
By assigning the letters "L" and "S", to the larger number and smaller number respectively, we can solve this using simultaneous equations:
L+S = 44
L-14 = S
By substituting S = L-14 into the first equation, we get:
L+L-14 = 44 (add 14 to both sides)
L+L = 58 ( divide by 2 as L+L becomes 2L)
L=29
When L= 29, S= 29-14 which is 15
I need this ASAP. Thanks
Answer:
-6
Step-by-step explanation:
since x = - 5 is < 3
for x < 3,
f(x) = 3x + 9
placing the value of x as - 5
f(x) = 3× (-5) + 9
= -15 + 9
= - 6