Answer:
a. £25142.86
b. £16833.33
Step-by-step explanation:
According to the Question,
Given, The Salary Of 7 People in An Office are,
Andy ⇒ £9500
Bevan ⇒ £25000
Cheryl ⇒ £13250
Deva ⇒ £75000
Elliott ⇒ £12750
Frankie ⇒ £29500
Grace ⇒ £11000
a. The mean income = Total Sum of Salaries ÷ Number of Workers
Mean = (9500+25000+13250+75000+12750+29500+11000) ÷ 7
Mean = 176000 / 7 ⇒ £25142.86
b. Now, The Mean income After Excluding Deva's Salary is,
Mean = (9500+25000+13250+12750+29500+11000) ÷ 6
Mean = 101000 / 6 ⇒ £16833.33
To solve for the missing length, which operation should you perform?
Answer:
? = 15 yards
Step-by-step explanation:
h² + b² = ?²
9² + 12² = ?²
81 + 144
225
√225 = 15
Answer:
Pythagorean theorem
Step-by-step explanation:
You should use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
9^2+ 12^2 = ?^2
81 +144 = ?^2
225 = ?^2
Take the square root of each side
sqrt(225) = sqrt(?^2)
15 =?
can someone help me understand this, please? For some reason my answer is correct but I need to understand how did I found the correct answer
Answer with step-by-step explanation:
The way the question is worded, this actually shouldn't be correct. The correct answer should be [tex]3:4[/tex].
Because the trapezoids are similar, we can find the ratio of their perimeters by actually just finding the ratio of their sides.
Why?
By definition, the corresponding sides of a polygon are in a constant proportion. The perimeter is simply the sum of all sides of the polygon. Since we're just adding the sides, the proportion will still be maintained.
Therefore, we'll just need to ratio of their corresponding sides. The only two corresponding sides that are marked are [tex]\overline{RS}[/tex] and [tex]\overline{AB}[/tex].
The ratio of [tex]\overline{RS}:\overline{AB}[/tex] is [tex]18:24\implies \boxed{3:4}[/tex].
The reason why it ideally should be [tex]3:4[/tex] and not [tex]4:3[/tex] is because the question states [tex]RTSU\sim ABCD[/tex], which mentions [tex]RSTU[/tex] first, so our answer should follow this respective order. I believe you were marked right anyways because the specific order is not specified, but generally, you want to give your answer respectively by default.
Which option would prove that triangle ABC ~ triangle XYZ? Select two options.
Answer:
BA/YX=BC/YZ=AC/XZ
Step-by-step explanation:
SINCE,
ABC AND XYZ ARE EQUILATERAL TRIANGLE
ALL THREE SIDES ARE EQUAL
work out the average speed of 40 km in 2.5 hours
Answer:
19.20
Step-by-step explanation: used
a calc
Mike works h hours in a week. To find his weekly pay he multiplies his hours by his pay of $30 per hour and adds $5 for his sales bonus. He's decided that he wanted to take one-fifth of his weekly pay and place it in his savings. Which simplified expression represents the amount that will go into his savings each week?
Answer:
6h + 1
Step-by-step explanation:
number of hours: h
pay per hour: 30
pay for the hours: 30h
add sales bonus: 30h + 5
1/5 of total above: (1/5)(30h + 5) = 6h + 1
Answer: 6h + 1
how much square units of 50 units
Answer:
7.07106781187
Step-by-step explanation:
if its just asking [tex]\sqrt50[/tex]
:D
what is the solution to the system of equations
Answer:
O A. [tex](-1,2)[/tex]
Step-by-step explanation:
[tex]y=x+3[/tex]
[tex]2=-1+3[/tex]
[tex]2=2[/tex]
[tex]y=-x+1[/tex]
[tex]2=-1+1[/tex] Since two -x's are being used, x becomes positive!
2 = 1 + 1
2 = 2
Solution: (-1, 2)
Sexagesimal
measure of (2pie/3)^c
Answer:
Step-by-step explanation:
In Sexagesimal system we know that π=180°
[tex](2\times \frac{\pi}{3})^{\circ} = (2 \times \frac{180}{3})^{\circ} = (2 \times 60)^{\circ} = 120^{\circ}[/tex]
Answer:
120 ° is the correct ☑ answer.
Step-by-step explanation:
We know that in Sexagesimal measure the value of π is 180 ° .
( 2 π / 3 ) = 2 × 180 ° /3 = 360 °/ 3
= 120 °
pls help with both of them
will give brainliest and everything
Express y in terms of x
Answer:
see explanation
Step-by-step explanation:
(a)
Given y is inversely proportional to x² then the equation relating them is
y = [tex]\frac{k\\}{x^2}[/tex] ← k is the constant of variation
To find k use any ordered pair from the table.
Using (1, 4 ) , then
4 = [tex]\frac{k}{1^2}[/tex] = [tex]\frac{k}{1}[/tex] ( multiply both sides by 1
4 = k
y = [tex]\frac{4}{x^2}[/tex] ← equation of variation
(b)
When y = 25 , then
25 = [tex]\frac{4}{x^2}[/tex] ( multiply both sides by x² )
25x² = 4 ( divide both sides by 25 )
x² = [tex]\frac{4}{25}[/tex] ( take the square root of both sides )
x = ± [tex]\sqrt{\frac{4}{25} }[/tex] = ± [tex]\frac{2}{5}[/tex]
Since x > 0 then x = [tex]\frac{2}{5}[/tex]
Find the volume of the cone.
Either enter an exact answer in terms of π or use 3.14 for π
Answer:
volume of a cone formula = V=πr²h/
3
V=3.14(5)²3/3
V≈78.54
Write an inequality that represents the graph.
factorize: 9x^2 - 24xy + 16y^2
9x²-24xy+16y²
(3x)²-2.(3x)(4y) +(4y)²
(3x-4y)²
(3x-4y)(3x-4y)
Answer:
[tex](3x -4y)^2[/tex]
Step-by-step explanation:
[tex]9x^2 - 24xy + 16y^2 = (3x)^2 - 24xy + (4y)^2[/tex]
[tex]=(3x)^2 -2(3x \times 4y) + (4y)^2\\[/tex]
a = 3x , b = 4y . The expression [tex]a^2 - 2ab + b^2 = (a-b)(a-b) =(a-b)^2[/tex]
[tex]=(3x -4y)(3x - 4y)[/tex]
[tex]9x^2 - 24xy + 16y^2 = (3x -4y)^2[/tex]
In, z = 4 cm, x=8cm, and m
Answer:
what do u want us to do pls be more clear!
Pls help if you only know the correct answer! Thanks! :)
Answer:
A. -3/5 B. 1/5. C. 0.8.
Step-by-step explanation:
Since A is on the left side of 0, it will be negative, in which -3/5 is the only negative answer on there, so A= -3/5. Since B is on the right side of the 0 it's positive, and it is equal to 1/5 which gets you to 0.20, which will be the value of each line since 1 divided by 5 is equal to 0.20. 0.8 is also known as 0.80 so C will be next to the 1.
hey there, please help me. thank you
Answer:
S.S.S
Step-by-step explanation:
When three sides of a triangle are respectively equal to three corresponding sides of another triangle, they are said to be congruent .
hope it is helpful to you
602.88 rounded to 2 decimal place is ?
Answer:
it will be 603.00
it will. e counted from the right to the left
BRAINLIEST IF CORRECT
Generating random samples.
Answer:
1st and 3rd answer
Step-by-step explanation:
1st answer - Having a sample that is not random does not allow you to generalize the results of the experiment/study to the population because it is not representative of the population in the first place.
3rd answer - The definition of a random sample is that each member of the population has an equal chance of being selected.
What is the remainder when 4x^3+8x-32 is divided by x+10?
Answer:
The remainder is -4112.
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. According to the PRT, when we divide a polynomial P(x) by a binomial in the form of (x - a), then the remainder will be P(a).
We are dividing:
[tex](4x^3+8x-32)\text{ by } (x+10)[/tex]
We can rewrite the divisor as:
[tex]x+10=x-(-10)[/tex]
So, a = -10.
Then according to the PRT, the remainder of the operation will be:
[tex]R=P(-10)=4(-10)^3+8(-10)-32=-4112[/tex]
If someone were to have 300 feet of fencing, what is the maximum area they can enclose?
Answer:
I think it would be 5,625ft^2?
Step-by-step explanation:
300÷4=75
75×75=5,625
a bucket contains 3 1/2 gallon of water. If Marie adds 5 gallons more, how many gallons of water will there be in all?
Answer:
8 1/2
because 3 + 5= 8+ 1/2= 8 1/2
Can anyone help with this?
What is the range of the function y=(x+2)(x-4)
Please explain how you got it as well
Answer:
The range is between -2 and +4.
Step-by-step explanation:
To find range you just need to get X ignoring the Y.
(X+2) is X= -2
(X-4) is X = +4
х
4
16
Find the exact value of x.
=
Answer:
The value of x is 8
Step-by-step explanation:
URGENT PLZ HELP: Graph y = tanx for -pi/4 ≤ x ≤ x/4.
What is the range?
solve it : -
[tex] \sqrt{6 \times 24} [/tex]
_______
Answer:
12
Step-by-step explanation:
sqrt(6*24)
sqrt(144)
sqrt(12*12)
12
Answer:
12
Step-by-step explanation:
6×24=144
Sq. Root of 144=12
Drag each label to the correct location on the image.
Here is a multiplication sentence:
(1 × 4) × 2 = 8
Drag the numbers and the parentheses to create an equivalent multiplication sentence that illustrates the associative property of multiplication.
Answer:
1 x (4 x 2) = 8
Step-by-step explanation:
1 x (4 x 2) = 8
Use the question below to answer the conditional probability question.
Andrea played dominos nonstop for 52 minutes in Little Havana. If each match lasted 13 minutes, how many matches did she play in that time?
Answer:
4 Matches
Step-by-step explanation:
According To the Question,
Given, Andrea played dominos nonstop for 52 minutes.And, each match lasted 13 minutes .Now, The Total Matches she plays in that time = [tex]\frac{(Total Time Played)}{(Time On Each Match)}[/tex]
Thus, Total Matches = 52 / 13 ⇔ 4 Matches
Solve for x.
5(x – 10) = 30 – 15x
Answer:
x=4Step-by-step explanation:
[tex]\sf 5(x - 10) = 30 - 15x[/tex]
[tex]\sf 5x-50=30-15x[/tex]
[tex]\sf 5x-50+50=30-15x+50[/tex]
[tex]\sf 5x=-15x+80[/tex]
[tex]\sf 5x+15x=-15x+80+15x[/tex]
[tex]\sf 20x=80[/tex]
[tex]\sf \frac{20x}{20}=\frac{80}{20}[/tex]
[tex]\sf x=4[/tex]