Answer:
Step-by-step explanation:
If D can paint the room in 6 hours, in 1 hour she gets [tex]\frac{1}{6}[/tex] of the room painted;
If C can paint the room in x hours, in 1 hour she gets [tex]\frac{1}{x}[/tex] of the room painted.
It takes 4 hours to paint it together. Setting up the classic work equation gives us
[tex]\frac{1}{6}+\frac{1}{x}=\frac{1}{4}[/tex] and we need to solve for x. Multiply everything through by the LCM which is 12x:
[tex]12x(\frac{1}{6}+\frac{1}{x}=\frac{1}{4})[/tex] making our equation simplify to
2x + 12 = 3x and solve for x:
12 = x
C can paint the room alone in 12 hours.
(9,2) and (5,-4) find the slope of the line containing the pair of points
Answer:
3/2
Step-by-step explanation:
We can use the slope formula
m = (y2-y1)/(x2-x1)
= ( -4-2)/(5-9)
= -6/-4
=3/2
The average electric bill for a small electric company is $72 for the month of April with a standard deviation of $6. If the amounts of the bills are normally distributed, find the probability that the mean of the bills for 15 randomly selected residents will be less than $75
Answer:
Hence the probability that the mean of their utility bills will be less than $75 = P(X < 75) is 0.9736.
Step-by-step explanation:
Now,
Population mean electric bill, [tex]\mu =[/tex] $72
Population standard deviation, [tex]\sigma =[/tex] $6
Standard error of the mean[tex]= \sigma / \sqrt{n} = 6 / \sqrt{15} = 1.5492[/tex]
The probability that the mean of their utility bills will be less than $75 = P(X < 75)
= P[Z < (75 - 72) / 1.5492]
= P[Z < 1.9365]
= 0.9736 (Using Z table)
Given the functions below, find f(x) - g(x) f(x) = 3x^2 + 2x + 1 g(x) = x^2 - 6x + 3
Answer:
Here is your answer.....
Hope it helps....
The value of given function f(x) - g(x) is 2x² + 2x + 1.
What is function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.The characteristic that every input is associated to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs.Given,
f(x) =3x² + 2x + 1
g(x) = x² - 6x + 3
f(x) - g(x) = ( 3x² + 2x + 1) - ( x²- 6x + 3)
= 3x² + 2x +1 - x² + 6x - 3
= 2x² +8x - 2
Therefore , the value of given function f(x) - g(x) is 2x² + 2x + 1.
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the length of each side of a triangle is in the ratio 4 : 5 : 9. the length of the longest side is 27cm. Find the perimeter of the triangle.
Answer:
54 cm
Step-by-step explanation:
27:9=3
4+5+9=18
3×18=54
The edges of a rectangle solid have lengths 2x,3xand 5x.what is the total surface area of the solid ?
•30x^2
•60x^2
•62x^2
•30x^3
Answer:
30x³
Step-by-step explanation:
2x×3x=6x²
6x²×5x=30x³
Henry rolls a fair dice 42 times.
How many times would Henry expect to roll an odd number?
Answer:
You should get 21 odds
Step-by-step explanation:
There are 6 possible outcomes on a fair die
1,2,3,4,5,6
3 of the outcomes are odd
1,3,5
P(odd) = odd outcomes/ total = 3/6 =1/2
Rolling 42 times
number of times * P(odd)
42*1/2 = 21
You should get 21 odds
What is the average
number of 4th graders per
class from the table above?
Answer:
29
Step-by-step explanation:
You need to find the average number of students
Add up all the students
27+31+28+33+26
145
Divide by the number of classes
145/5
29
The average is 29
32
Step-by-step explanation:
answer of number 30 is 32
If a concrete mix contains 1-1/2 cubic feet of gravel, 1/2 cubic foot of water,
1 cubic foot of cement, and 2 cubic feet of sand, what percentage of the mix is
sand?
Answer:
The correct answer is "50%".
Step-by-step explanation:
The given values are:
Gravel,
= [tex](1-\frac{1}{2} )[/tex]
Water,
= [tex]\frac{1}{2}[/tex]
Cement,
= 1
Sand,
= 2
Now,
The total mixture will be:
= [tex]Gravel+Water+Cement+Sand[/tex]
By substituting the values, we get
= [tex](1-\frac{1}{2} )+\frac{1}{2} +1+2[/tex]
= [tex]\frac{1}{2} +\frac{1}{2} +1+2[/tex]
= [tex]4 \ cubic \ feet[/tex]
hence,
The percentage of sand will be:
= [tex]\frac{Sand}{Total}\times 100[/tex]
= [tex]\frac{2}{4}\times 100[/tex]
= [tex]50[/tex]%
Can someone please help me with this.
A university professor asked his class of 42 students when they had studied for his class the previous weekend. There responses were. please answer part a, b and c
ANSWERS:
a) 16 students
b) 25 students
c) 2 students
STEP BY STEP:
There are 42 students in total. This question can be solved by "Principal of Inclusion and Exclusion"
Question a)
The students that studied on Sunday in total with overlaps is 30. To figure out the students that ONLY studied on Sunday you need to first minus the overlaps in the combos:
the combos:
3, 10, 6, 2
Since the last combo included all of the other dates, we need to minus it:
1, 8, 4, 2
Now we can use the total of Sunday and minus the combos that includes Sunday:
30 - (4 + 2 + 8) = 16 students
Question b)
To figure out all the students that only studied on ONE day, not 2 not 3, just one day. We need to figure out the students that studied for Saturday and Friday using the same method before for figuring out Sunday:
Friday: 9 - 4 - 1 -2 = 2 students
Saturday: 18 - 1 - 2- 8 = 7 students
and now add them all together: 2 + 7 + 16 = 25 students
That is the total number of students that studied on one day.
Question c)
Now for the numbers of students that didn't study... We can just use the total to minus everything else!
42 - (25 + 1 + 4 + 8 + 2) = 2 students!!!
And thats all done! If you still don't get it, please ask!
Household Size Probability 1 0.04 2 0.09 3 0.14 4 0.20 5 0.29 6 0.14 7 0.08 8 0.02 a. What is the probability that there are less than 5 members in a household in India
Given:
Probability distribution table is:
Household Size : 1 2 3 4 5 6 7 8
Probability : 0.04 0.09 0.14 0.20 0.29 0.14 0.08 0.02
To find:
The probability that there are less than 5 members in a household in India.
Solution:
Let x be the number of members in a household. The probability that there are less than 5 members in a household in India is:
[tex]P(x<5)=P(x=1)+P(x=2)+P(x=3)+P(x=4)[/tex]
[tex]P(x<5)=0.04+0.09+0.14+0.20[/tex]
[tex]P(x<5)=0.47[/tex]
Therefore, the probability that there are less than 5 members in a household in India is 0.47.
Find the area of the triangle which the line 2x – 3y +6=0 forms with the coordinate axis.
2x-3y+6=0 has an x intercept of 2 and a y intercept of -3.
That means the 2 sides of the right triangle are 2 and -3
Area of triangle= 1/2×base×height
= 1/2×-3×2
=-3
∴ Area of the triangle=-3
The area of the asked triangle is 3 sq units.
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, a triangle is formed by the line 2x – 3y +6=0 and the coordinate axis.
When we plot the graph of the line, we get, y-intercept = 2 and x-intercept = -3
Hence, the height and base of the triangle will be 2 and 3 respectively.
Area of a triangle = 1/2 (base) (height)
Area = 1/2 (2)(3)
Area = 3
Hence, the area of the asked triangle is 3 sq units.
Learn more about areas, click;
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If x = y, then x – a = y – a represents the ________ property of equality.
Answer:
Subtractive Property of equality
Step-by-step explanation:
Since x = y, When you subtract anything from x, you must do the same to y for them to stay equal.
Answer:
Subtraction property of equality
Solve for X. Round to the nearest tenth, if necessary. Please help
Answer:
X=1.2/1.3
answérica is 1.25, depends on how you want to round
Step-by-step explanation:
7(x-9y) need an answer
Answer:
7x - 63y
Step-by-step explanation:
Given
7(x - 9y) ← multiply each term in the parenthesis by 7
= 7x - 63y
Select the correct answer from each drop-down menu.
The given composite shape has an area of (72,78,66,84) cm2 and a perimeter of (42,47,40,33) cm.
Answer:
78 cm²
42 cm
Step-by-step explanation:
To obtain the area of the shape given :
The figure is divide into three different rectanglular parts :
Recall, area of a rectangle = Length x width :
Rectangle 1 : 9* 6 = 54 cm²
Rectangle 2 = 6 * 2 = 12 cm²
Rectangle 3 = 4 * 3 = 12 cm²
Total area = (54 + 12 + 12). = 78 cm²
Perimeter = sun of the exterior sides of the shape
Perimeter = (9 + 8 + 3 + 4 + 3 + 6 + 3 + 6) = 42 cm
Two long jumpers competed in a world-class track meet. The first athlete jumped a distance of 28.65 feet, and the second athlete reached a distance of 24.25 feet.
Answer:
Step-by-step explanation:
first athlete =28.65
second athlete=24.25
the first athlete jump - second athlete jump
28.65-24.25
= 4.40
the first athlete long jump then the second athlete
15 POINTS PLS HELP MATHEMATICS
7(2e−1)−3=6+6e
Solve for e
Answer:
e=2
Step-by-step explanation:
7(2e−1)−3=6+6e
Distribute
14e -7 -3 = 6+6e
14e -10 = 6+6e
Subtract 6e from each side
14e-6e -10 = 6+6e-6e
8e -10 =6
Add 10 to each side
8e -10+10 = 6+10
8e = 16
Divide by 8
8e/8 = 16/8
e=2
What is the radius of the circle if the circumference is 18 pi centimeters
Answer:
9cm
Step-by-step explanation:
Circumference formula = 2piR
To calculate radius
The equation becomes
2piR = 18pi
R = 18pi/2pi
= 9cm
A scale drawing of a square desk is ¼ inch to 1 foot. The actual desk is 50 feet wide. What is the area of the desk in the model?
156.25 in2
40000 in2
625 in2
10000 in2
Answer:
Step-by-step explanation:
What is the point-slope form of a line with slope -3 that contains the point
(10, -1)?
Answer:
General equation of line:
[tex]{ \bf{y = mx + c}}[/tex]
Find y-intercept:
[tex]{ \tt{ - 1 = ( - 3 \times 10) + c}} \\ { \tt{c = 29}}[/tex]
Equation of line:
[tex]{ \bf{y = - 3x + 29}}[/tex]
Paul baked 208 brown loaves. If the ratio of white loaves to brown loaves is 3:2, how many loaves did he bake in total?
Paul baked 520
loaves.
The owner of a restaurant is placing an order for bread.
On Friday there were 300 customers in the restaurant and 100 bread rolls were served.
On Saturday he is expecting 540 customers.
What would be a good estimate of how many bread rolls should he order? I
Os 2021
A Exit
Back
✓ Mark Question
172.000
13 :
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MacBook Air
Answer:
A. Total=520 loaves
B. Estimate= 180 rolls
Step-by-step explanation:
Olivia used 22 inches of ribbon as a border around her scrapbook cover. Which of these rectangles could be the shape of her scrapbook cover?
Answer:
its the first square one that says "6 inch, 5 inch"
Step-by-step explanation:
Because 6+6=12 and 5+5=10, so 12+10=22
Answer:
6 and 5 inch
Step-by-step explanation:
What is the perpendicular height of a cone that has a base with a diameter of 14 cm and whose sides make an angle of 72 with the horizontal?
Ms. Patel has 24 students in her class. When she collected yesterday's homework, Ms. Patel found that 16 students completed the homework in
pencil and 8 students used a pen.
What is the probability that the first two assignments Ms. Patel collected were completed in pencil?
Answer:
Maybe
1/8 is the probability that the first two assignments Ms.patel collected were completed in pencil
Function: g(x) = 2x2 - 8
Answer:
f(x)= √ 1 2 x + 4 For x ≤ 0
Step-by-step explanation:
Determine the volume of a sphere with a diameter of 5 inches.Use 3.14 for Pi, and round your answer to the nearest inch.
Answer:
[tex]{ \bf{formular : \: { \tt{volume = \frac{4}{3} \pi {r}^{3} }}}} \\ { \tt{volume = \frac{4}{3} \times 3.14 \times {( \frac{5}{2}) }^{3} }} \\ { \tt{volume = 65.4 \: cubic \: inches}}[/tex]
Answer:
65
Step-by-step explanation:
formula = 4/3 * 3.14* r^3
= 4/3 * 3.14 * 2.5^3 (radius is half of the diameter)
= 65.44985
rounded to 65
In a tram, 12% of the passengers go without a ticket. What can be the largest number of passangers in the tram, if its not greater than 60
45 POINTS
a rectangle has an area of 186m2
one of the sides is 3m in length
work out the perimeter of the rectangle
seriously need help
Step-by-step explanation:
here is the ans
the perimeter= 130m
hope so this might help you
Calculate the mean of: 4.6, 3, 8.1, 9, 12, 3, 9, 3.5, 7, 3
