Hey there!
2/5%
= 2/5
= 2 ÷ 5
= 0.40
= 0.40 × 100
= 40%
Therefore, your answer is: 40%
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
the numbers 1 to 9 are randomly arranged to form a 9-digit number. what is the probability that the number obtained is divisible by 18?
(please write the solution)
Answer:
Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444. or even 44.4%
Step-by-step explanation:
If we have 9 digits 1–9 placed randomly to form a 9-digit number without repetition and we want the probability of that number is divisible by 18, then we only need to look at the fact if it is divisible by 18, then it is also divisible by 2 and 9. Adding the digits 1–9 would give us the following (including checking for divisibility by 9):
(9 x 10)/2 =90/2 = 45
45÷9=5
By divisibility of 9, if the sum of the digits is divisible by 9, then the original number itself is divisible by 9. Since the number 45 is divisible by 9, we know that all the possible 9-digit numbers will be as well. The only thing we would have to look at is if it is even since the number has to be divisible by 2.
There are 9 digits of which 4 are even (2, 4, 6 or 8).
So the probability that the number is divisible by 2 is 4/9.
Hence the probability that the number is divisible by 18 is 4/9 or approx. 0.4444.
Mike wants to fence in part of his backyard. He wants the length of the fenced-in area to be at least 20 feet long, l ≥ 20. He has 200 feet of fencing. The inequality that models the possible perimeter of the yard is 2l 2w ≤ 200. Which are possible dimensions for Mike’s backyard? Check all that apply. W = 50 ft; l = 10 ft w = 10 ft; l = 50 ft w = 20 ft; l = 60 ft w = 90 ft; l = 30 ft w = 50 ft; l = 40 ft.
The inequality that models the possible perimeter of the yard is 2(l + w) ≥ 200
The possible dimension of the width is 90 feet
The formula for calculating the perimeter of the fence is expressed as:
P = 2(l + w)l is the length of the fencew is the width of the fenceIf he has 200 feet of fencing, then:
2(l + w) ≥ 200
If the length of the fenced-in area to be at least 20 feet long, the equation becomes:
2(20 +w) ≥ 200
40 + 2w ≥ 200
2w ≥ 200 - 40
2w≥ 160
w≥ 80
Hence the possible dimension of the width is 90 feet
Learn more on inequalities here: https://brainly.com/question/10709615
The table shows the linear relationship between the number of pages left to read in an
the number of hours a student has already spent reading the novel. Mark each stateme
or false. If false, rewrite the statement correctly.
HOURS
READ
RE
9. The student reads at a rate of 48 pages per hour.
1
4
10. The number of pages in the novel is 644.
8
12
11. The situation can be represented by the
equation y = -48x + 692.
14
The table is an illustration of a linear function
9. The student's rate
Take any two points from the table
[tex](x,y) =\{(1,644)\ (4,500)\}[/tex]
The rate is then calculated using:
[tex]Rate = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
This gives
[tex]Rate = \frac{644 -500}{1-4}[/tex]
[tex]Rate = \frac{144}{-3}[/tex]
[tex]Rate = -48[/tex]
The statement that the student reads at a rate of 48 pages per hour is true
10. The pages in the novel
From the table, there are 644 pages left, after the student read for 1 hour.
This means that there are more than 644 pages in the novel.
The statement that the number of pages in the novel is 644 is false
11. The linear equation
This is calculated as:
[tex]y = Rate(x -x_1) + y_1[/tex]
So, we have:
[tex]y = -48(x -1) + 644[/tex]
[tex]y = -48x +48 + 644[/tex]
[tex]y = -48x +692[/tex]
The statement that the situation can be represented by the equation y = -48x + 692 is true
Read more about linear equations at:
https://brainly.com/question/15602982
Answer:
Step-by-step explanation:
HELP PLS! Which of the following expressions is equal to x2 +9?
O A. (x-3)2
O B. (x+3)(x - 3
O C. (x+3)(x-6)
O D. (X+3)2
the answer is B. (x+3) (x-3)
What is the LCD of 1/5 and 9/7
if candy canes cost .89 a dozen, how much would it cost to buy candy canes for a school with 300 students
Answer:
267
Step-by-step explanation:
Answer:
First dont give candie second keep for yourself third mock them 4th be greedy
Step-by-step explanation:
by buying candie from your own money nah waste on yourself
Robin currently has 50 subscribers on her You Tube channel, and Dimitri currently has 17 subscribers. Robin gains 4 subscribers every week, while Dimitri gains 7 subscribers each week.
Part A: Set up a system of equations to shows each person's subscribers. (2 points)
Part B: After how many weeks will Robin and Dimitri have the same number of subscribers? (1 point)
Part C: How many subscribers will Robin and Dimitri have when their subscriber count is equal? (1 point)
We want to write and solve a system of equations to model the given situation.
The answers are:
A)
y = 50 + 4*x
y = 17 + 7*x
B) after 11 weeks.
C) 94 subscribers.
First, we must find the two linear equations, we know that Robin has 50 subscribers and she gets another 4 per week.
Then for Robin, we can write:
y = R(x) = 50 + 4*x
The equation that models the number of subscribers that Robin has at week x.
Dimitri at the moment has 17 subscribers and wins 7 per week, then his equation is:
y = D(x) = 17 + 7*x
A) Then the system of equations is just:
y = 50 + 4*x
y = 17 + 7*x
B) Now we must solve the system.
Notice that in both equations we have y isolated, then we can write:
50 + 4*x = y = 17 + 7*x
50 + 4*x =17 + 7*x
Now we can solve this for x:
50 + 4*x =17 + 7*x
50 - 17 = 7*x - 4*x
33 = 3*x
33/3 = 11 = x
This means that at week 11 they will have the same number of subscribers.
C) To get this we just need to evaluate any one of the two linear equations in x = 11
D(11) = 17 + 7*11 = 94
Both of them will have 94 subscribers.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13984867
If I make 2,500 dollars a minute.How much money will I make in 8 hours?
Answer:
1200000
Step-by-step explanation:
First, convert the 8 hours into minutes 8 hours * 60 minutes = 480 minutes
Then just do 2500 dollars * 480 minutes = 1200000
Answer:
$1,200,000
Step-by-step explanation:
We 1st multiply 2,500 by 60 due to 60 minutes being in 1 hour and get 150,000
We now know that in 1 hour you make 150,000 and to find out how much you make in 8 we then multiply 150,000 by 8 which equals $1,200,000.
I hope this helps have a great day and happy holidays :)
CD is a line parallel to AB and passes through the point (3, 5).
c. Find the equation of the line CD
Answer:
y=5/3x+b
Step-by-step explanation:
Supposing CD uses the equation y=mb (meaning CD passes through the origin) and passes through (3,5), we then know the slope if 5/3 and the y intercept is 0. We can then write CD's equation as y=5/3x+0, or just y=5/3x.
So if AB is parallel to CB, then their equation is y=5/3x+b, as we don't the y-intercept yet.
Thank you!
5+6b+3d how many terms are in the expression
Answer:
3
Step-by-step explanation:
5 is a term 6b is a term 3d is a term
What is the y intercept of the line y + 11=-2(x+1.5)
[tex]y +11 = -2(x+1.5)\\\\\implies y = -2x -3 -11\\\\\implies y = -2x - 14\\\\\text{The above equation is in a form of y = mx +b,}~\text{where}~~ b = -14~\text{ is the y-intercept.}[/tex]
if f(x) = x^2 -5x +1 and g(x) =5x+4 what is the value of g•f (-2)
Answer:
The value of [tex]gof (-2)=79[/tex]
Step-by-step explanation:
We have
[tex]f(x) = x^2 -5x +1 \\\\f(-2) = (-2)^2 -5\times-2 +1 \\\\=15[/tex]
Now we need to find
[tex]gof (-2)=g(15)[/tex]
[tex]g(15) =5\times15+4\\\\=79[/tex]
May I please receive help?
Answer:
24°
Step-by-step explanation:
(4y-4)+(180-52)+3y = 180°
4y-4+128+3y = 180
7y+124 = 180
7y = 56
y = 8
SO ∠x = 3y
∠x = 3(8)
∠x = 24
Answer:
24
Step-by-step explanation:
to find the measure of angle X we must first find y
An exterior angle of a triangle is equal to the sum of the opposite interior angle
angle wyz is an exterior angle and the opposite interior angles are w and x
this means that angle wyz = angle w + angle X
if angle wyz = 52 , angle X = 3y and angle w = 4y-4 then 52 = 3y + 4y - 4
note that we just created an equation that we can use to solve for y
we now solve for y using the equation we just created
52 = 3y + 4y - 4
combine like terms
52 = 7y - 4
add 4 to both sides
56 = 7y
divide both sides by 7
we're left with y = 8
Now to find the measure of angle X we simply plug in the value of y into 3y because angle X = 3y
angle X = 3y
y = 8
angle X = 3(8)
multiply 3 and 8 to get 24
angle X = 24
and we are done!
The expression 3r - 6 can be written as _____. 3(r - 2) 3(r - 6) 3(3r - 6).
Answer:
The expression 3r - 6 can be written as 3(r - 2)
Step-by-step explanation:
We know that 3r-6=3(r-2) because 3*r is the same as 3r and we know that 3*-2 is -6 hence making them equal. And to check it we know that 3r-6 is equal to 3r-6.
What is the perimeter of a rectangle whose length is twice the width? Width = 7 cm.
Answer:
42 cm is the perimeter
Step-by-step explanation:
Brainleast answer mo nalang
Answer:
P = 42 cm
Step-by-step explanation:
The perimeter (P) is the sum of the 4 sides of the rectangle with opposite sides being congruent.
Given width = 7 cm then length = 2 × 7 = 14
P = 7 + 7 + 14 + 14 = 42 cm
PLEASE HELP ME (third times the charm)!!!!!!!
Answer:
the first option i think
what is 174 divided by 74
Answer:
2.35
Step-by-step explanation:
Answer:
2.35
Step-by-step explanation:
I hope this helps you!
Twelve is sixteen less than four times a number.
the functions below show the amount of money bella and sweet t had saved after earning money for doing chores
Answer:
Hello your answer should be: Bella saved more per chore than Sweet T.
Step-by-step explanation:
Hope this helped! :)
Have a great rest of your day!
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[please put in correct order]
2+2+9+9+9+9+7+7+6-8-6+7+8+9+8+9+0+9+8+9
Answer:
The answer is 113.
Answer:
141
Step-by-step explanation:
There are 8 nines: 9×8=72
There are 3 sevens: 7×3=21
There are 4 eights: 8×4=32
6×2=12
2×2=4
All together you get
What three consecutive numbers add up to 75?
Answer:
24,25,26
Step-by-step explanation:
Answer:24, 25, 26
Step-by-step explanation:
Divide the 75 by 3 because that is how many numbers you need. Then subtract 1 to get 24, add 1 to get 26, and also use 25.
f(-3)
f(x)= 3 to the power of x
Using a compass and a straightedge, a student constructed a triangle in which XY is one of the sides.
The length of the compass so that ΔXYZ is isosceles and not equilateral could be;
Option C; between ¹/₂XY and XY
Option E; greater than XY
We are told that;
Student has drawn a line XY
Now the student opened the compass with a set length to draw two intersecting arcs with X and Y as centers.
Now, for these two arcs to meet, the compass has to be opened to a length that is more than half of segment XY.
Secondly, since the triangle is not equilateral, it means the compass cannot be opened to length AB.
The next step would be t open the compass to a length slightly bigger or slightly smaller than AB.
Finally, the options that apply are Options C and E.
Read more about construction of Isosceles triangles at; https://brainly.com/question/2520169
I want quick plsssss
[tex]3 \times \frac{1}{2} \\ \\ = \frac{5}{2} [/tex]
7/24*5/14*16/25
PLS HELP!!!!!!!
7/24*5/14*16*25= 1/15
Census data from a city of 150,000 residents produced the income distribution shown here: A distribution curve of income in thousands of dollars. The curve is right skewed with a mean between 50 and 100. Suppose that we were to take random samples of 100 residents from this population and calculate ˉ x as the sample mean income of the residents in each sample.
Using the Central Limit Theorem, it is found that the shape of [tex]\bar{x}[/tex] is approximately normal.
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.In this problem, the distribution is not normal, however the sample size is of 100 > 30, hence the Central Limit Theorem is applicable and the shape of [tex]\bar{x}[/tex] is approximately normal.
To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/4086221
What is the approximate value of b?
Find the sum of all solutions to the equation $3x(x+4) = 135$.
Answer:
-4
Step-by-step explanation:
3x(x + 4) = 135
3x² + 12x = 135
3x² + 12x - 135 = 0
On dividing by 3
x² + 4x - 45 = 0
x² + (9x - 5x) - 45 = 0
x² + 9x - 5x - 45 = 0
x(x + 9) - 5(x + 9) = 0
(x + 9)(x - 5) = 0
x = 5 & -9
Sum = -9 + 5
Sum = -4
The sum of the solutions of the given quadratic equation will be -4.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
As per the given equation,
⇒ 3x(x + 4) = 135
Multiply the 3x as,
3x² + 12x = 135
3x² + 12x - 135 = 0
Divide the above equation by 3 as
3x²/3 + 12x/3 - 135/3 = 0
x² + 4x - 45 = 0
x² + 9x - 5x - 45 = 0
x(x + 9) - 5(x + 9) = 0
(x - 5)(x + 9) = 0
x = 5 and x = -9
Therefore the sum will be -9 + 5 = -4
Hence "The total of the quadratic equation's answers will be -4".
For more about the quadratic equation,
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if the nth term is 6-2n^2 what is the 4th term?
Answer:
a₄ = - 26
Step-by-step explanation:
Substitute n = 4 into the nth term formula
a₄ = 6 - 2(4)² = 6 - 2(16) = 6 - 32 = - 26