The length of the rectangle is 18 cm, and the width is 24 cm as per the concept of perimeter.
Let the length of the rectangle be 3x and the width be 4x, where x is a common factor.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 × (Length + Width)
Given that the perimeter is 84 cm, we can write the equation as:
84 = 2 × (3x + 4x)
Now, let's solve for x:
84 = 2 × 7x
42 = 7x
x = 42 / 7
x = 6
Now that we have the value of x, we can find the length and width of the rectangle:
Length = 3x = 3 × 6
= 18 cm
Width = 4x = 4 × 6
= 24 cm
Therefore, the length of the rectangle is 18 cm, and the width is 24 cm. The length and width are in the ratio 3:4, and the perimeter of the rectangle is indeed 84 cm.
To learn more about the rectangular perimeter;
https://brainly.com/question/22109593
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2. If the price of that t-shirt drops by 6 dollars, I will be able to buy 3 of them with my $24 dollars. How much is the t-shirt now?
Answer:
the current price of the shirts is $14
Step-by-step explanation:
24÷3 is 8 so they would be $8 each if they could afford to buy 3. so if its currently $6 more then it is $14 because 8+6=14
What is the graph of the given function f(x)=3[x]+4
Answer:
Image of the graph attached
Step-by-step explanation:
STEP 1: Write the given function
Taking the x in the given question to be an absolute value, the function is:
[tex]y = 3 |x| + 4[/tex]
STEP 2: Plot the given function
If 8 times a number is added to twice the number, the result is 60. the solution is
Answer:
(8 * x) + 2x = 60
8x + 2x = 60
10x = 60
/10 /10
x = 6
8 is a constant that is being multiplied by an unknown number which we will name x. It is then being added to two times the unknown number(x), so we multiply x by 2, which is 2x. The final product will be 60, so in the equation it'll then equal 60.
We consider "a number" to be a variable that withholds an unknown value, which is x (or any other variable you prefer).
Answer:
The number is 6
Step-by-step explanation:
Given :-
8N + 2N = 60
To Find :-
N
Solving :-
8N + 2N = 60
10N = 60
N = 6
Solution :-
The number is 6
(Mixing Uniform and Binomial Distributions) A person arrives at a certain bus stop each morning. The waiting time, in minutes, for a bus to arrive is uniformly distributed on the interval (0, 15). (a) [1 pts] Find the mean waiting time. Show all work. (b) [1 pts] Find the standard deviation of the waiting times. Show all work. (c) [4 pts] Find the probability that the waiting time is between 5 and 11 minutes. Show all work. (d) [6 pts] Suppose that waiting times on different mornings are independent. What is the probability that the waiting time is less than 5 minutes on exactly 4 of 10 mornings
Answer:
a
[tex]\mu_x =7.5 \ minutes [/tex]
b
[tex]\sigma_{x} = 4.33 \ minutes [/tex]
c
[tex]P(5 < X < 11 ) = 0.4 [/tex]
d
[tex]P(W = 4 ) = 0.228[/tex]
Step-by-step explanation:
From the question we are told that
The interval is [tex](w , y) = (0 , 15)[/tex]
Considering question a
Generally the mean waiting time is mathematically represented as
[tex]\mu_x = \frac{w + y}{2}[/tex]
=> [tex]\mu_x = \frac{0 + 15}{2}[/tex]
=> [tex]\mu_x =7.5 \ minutes [/tex]
Considering question b
Generally the standard deviation is mathematically represented as
[tex]\sigma_{x} = \frac{y - w}{\sqrt{\sqrt{12} } }[/tex]
=> [tex]\sigma_{x} = \frac{15 - 0}{\sqrt{\sqrt{12} } }[/tex]
=> [tex]\sigma_{x} = 4.33 \ minutes [/tex]
Considering question c
Generally the probability density function for a random variable X is
[tex]f(x) = \left \{ {{ \frac{1}{y} \ \ \ \ \ 0 < X < y } \atop {0} \\ \ \ \ Otherwise} \right.[/tex]
=> [tex]f(x) = \left \{ {{ \frac{1}{15} \ \ \ \ \ 0 < X < 15 } \atop {0} \\ \ \ \ Otherwise} \right.[/tex]
Generally the probability that the waiting time is between 5 and 11 minutes is mathematically represented as
[tex]P(5 < X < 11 )= \int\limits^{11}_{5} {f(x)} \, dx[/tex]
=> [tex]P(5 < X < 11 )= \int\limits^{11}_{5} {\frac{1}{15}} \, dx[/tex]
=> [tex]P(5 < X < 11 ) = \frac{1}{15} x | \left \ 11 } \atop {5}} \right.[/tex]
=> [tex]P(5 < X < 11 ) = \frac{1}{15} [ 11 - 5][/tex]
=> [tex]P(5 < X < 11 ) = 0.4 [/tex]
Considering question d
Generally the probability the waiting time is less than 5 minutes is mathematically represented as
[tex]P(X < 5) = \int\limits^5_{-\infty} {\frac{1}{15} } \, dx[/tex]
Given that time cannot be negetive
[tex]P(X < 5) = \int\limits^5_{0} {\frac{1}{15} } \, dx[/tex]
[tex]P(X < 5) = \frac{1}{15} * x | \left \ 5 } \atop {0}} \right.[/tex]
[tex]P(X < 5) =0.33.[/tex]
Generally the probability that the waiting time is less than 5 minutes on exactly 4 of 10 mornings follows a binomial distribution because the number of trial is finite i.e 10 the probability of success is probability that the waiting time is less than 5 minutes and probability of failure is probability that the waiting time is not less than 5 minutes(i.e there is only two outcome )
Hence for a random variable K representing the number of times in the total of 10 mornings that the waiting is less than 5 minutes then
The probability the random variable(W) is exactly 4 is mathematically represented as
[tex]P(W = 4 ) = ^{10}C_4 * (0.33)^4 * (1- p)^{10 -4}[/tex]
Here C denotes combination
So
[tex]P(W = 4 ) = 0.228[/tex]
As part of a survey, 75 people were asked to name their favorite sport. The results showed that 25 of the people named basketball as their favorite sport. What percentage of the people in the survey named basketball as their favorite sport?
A. 33 1/3 %
B. 20%
C. 50%
D. 66 2/3%
Answer:
Step-by-step explanation:
Formula
% = (favorite sport/total surveyed) * 100
Givens
favorite sport = 25
Total surveyed = 75
Solution
% = (25/75) * 100
% = 0.33333 * 100
% = 33.3333... or 33 1/3
Answer: A
pls help will mark brainlest
Answer:
6/12
Step-by-step explanation:
there is a total of 12 boxes and six are colored so 6/12
PLEASE RATE!!
Answer:
(a) 5/12
Step-by-step explanation:
The product of the fractions is the portion of the figure that is "doubly-colored." We notice the top half of the figure is colored yellow; the left 5/6 of the figure is colored blue. The 5 of 12 rectangles at upper left are green, indicating a combination of yellow and blue coloring.
The product is shown as 5/12.
Quickly plzzz F=3. G=-4. H=5. Evaluate equation plzz
Answer:
-4
Step-by-step explanation:
| f+g| - h
F=3. G=-4. H=5.
| 3 + -4| -5
| -1| -5
The absolute value of -1 is 1
1 -5
-4
Determine if ✓ 8 is rational or irrational and give a reason for
a reason for your answer.
7.Lin wants to empty her hot tub to clean it. She has a 300 gallon hot tub and
empties it at a rate of 20 gallons each minute. Which equation(s) represent this
situation. Check all that apply.
y=300-20%
y=20x+300
y=-20x300
y=-20x-300
How far is lakeview from avon
Answer:
They are about 45.19 miles apart.
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem,
a² + b² = c²
-> c is the hypotenuse, a and b are both legs (the other two sides)
a² + b² = c²
19² + 41² = c²
361 + 1,681 = c²
2,042 = c²
[tex]\sqrt{2,042}[/tex] = c
45.19 miles ≈ c
c ≈ 45.19 miles
They are about 45.19 miles apart.
10-(3x-1)/2=(6x+3)/11
If someone could help that would be great thank you!
If it is :
[tex]10 - \frac{ (3x - 1)}{2} = \frac{(6x + 3)}{11} \\ [/tex]
Multiply both sides by 22
[tex](22 \times 10) - 11 \times (3x - 1) = 2 \times (6x + 3) \\ [/tex]
[tex]220 - 33x + 11 = 12x + 6[/tex]
[tex] - 33x + 231 = 12x + 6[/tex]
Plus both sides 33x
[tex]231 = 33x + 12x + 6[/tex]
[tex]231 = 45x + 6[/tex]
Subtract sides minus 6
[tex]231 - 6 = 45x[/tex]
[tex]45x = 225[/tex]
Divided sides by 45
[tex]x = \frac{225}{45} \\ [/tex]
[tex]x = 5[/tex]
_________________________________
If it is :
[tex] \frac{10 - (3x - 1)}{2} = \frac{6x + 3}{11} \\ [/tex]
Multiply sides by 22
[tex](11 \times 10) - 11 \times (3x - 1) = 2 \times (6x + 3) \\ [/tex]
[tex]110 - 33x + 11 = 12x + 6[/tex]
[tex] - 33x + 121 = 12x + 6[/tex]
Plus sides 33x
[tex]121 = 12x + 33x + 6[/tex]
[tex]121 = 45x + 6[/tex]
Subtract sides minus 6
[tex]121 - 6 = 45x[/tex]
[tex]45x = 115[/tex]
[tex]x = \frac{115}{45} \\ [/tex]
[tex]x = \frac{23}{9} \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
guys help how do i do this please hurry
Answer:
45 Degrees
Step-by-step explanation:
CEA and DEB are equal and AEF and BEG are equal hence 25+20 is 45
Step-by step explanation:
Statement Reason
∠AEF = 25° Vertically opposite angles ∠AEC = 20° Vertically opposite angles⇒ ∠AEC + ∠AEF = x
Substitute the values to find x.
⇒ ∠AEC + ∠AEF = x⇒ 20° + 25° = x⇒ x = 45°Samantha can run one mile in 8 minutes. At this rate how long will it take her to run in 5 miles
Benjamin is making patches for a quilt. He makes a triangular-shaped patch like the triangle shown. Which of these rectangular patches has the same area as the triangular patch? (Choose all the correct answers.)
Answer:
A F E.....???
Step-by-step explanation: i hope this helps!
What percent of 150 is 12
Answer:
8 percent to find this answer you can do 12 divided by 15 to get 0.8 percent which is 8
Work out value x, give answer to 1 decimal place
Answer:
x ≈ 44.6°
Step-by-step explanation:
perimeter of a perfect circle: 2πr = 2π(9) = 18π
perimeter of the circle arc : 25 - 2(9) = 7
The central angle in a full circle is 360 degrees. In the segment of the circle is x degrees. The value of x is obtained using proportionality.
[tex] \frac{360}{x} = \frac{18\pi}{7} \\ \\ x = \frac{7 \times 360}{18\pi} = 44.56[/tex]
Help !!!
A line passes through the point (-8,5) and has a slope of -5/4
Answer:
where m represents the slope and
(
x
1
,
y
1
)
a point on the line
here
m
=
−
5
4
and
(
x
1
,
y
1
)
=
(
−
8
,
−
5
)
substituting these values into the equation.
y
−
(
−
5
)
=
−
5
4
(
x
−
(
−
8
)
)
⇒
y
+
5
=
−
5
4
(
x
+
8
)
←
in point-slope form
distributing and simplifying gives the equation in an alternative form.
y
+
5
=
−
5
4
x
−
10
⇒
y
=
−
5
4
x
−
15
←
in slope-intercept form
Answer link
Step-by-step explanation:
The chart below shows how cups of lemonade Marcia sold each hour she had her lemonade stand set up.
Marcia charged 35 cents for each cup of lemonade, how much money did she make in the four hours?
Answer:
She made $12.95 after four hours
Step-by-step explanation:
because 35 cents is written as .35 we have to remember to put the decimal in our answer two spots to the left so
1st hour: 6 × 35 = $2.10
2nd hour: 5 × 35 = $1.75
3rd hour: 11 × 35 = $3.85
4th hour: 15 × 35 = $5.25
Total: $12.95
What is the slope of the line that passes through (-2, 7) and (4.9)? Type a numerical answer in the space provided. If
necessary, use the key for a fraction bar. Do not include spaces in your answer.
Answer:
1/3
Step-by-step explanation: hope this helps!
A school paid $35.25 for each calculator if the school bought x calculator how much did they pay
Answer:
they pay $x*35.25
Step-by-step explanation:
this is the answer
In 2012, researchers at Pennsylvania State University discovered adult Americans exercise an average of 17 minutes per day. To test if the amount of exercise in New York City is more than the national average, a researcher decides to do a hypothesis test, at a 1% significance level. He surveys 50 New Yorkers randomly and asks them about their amount of exercise each day, on average. From the data, the sample mean time (x¯) is 20 minutes per day, and the sample standard deviation (s) is 1.6 minutes. H0: μ=17; Ha: μ>17 α = 0.01 (significance level) What is the test statistic (t-value) of this one-mean hypothesis test (with σ unknown)?
Answer:
t ≈ 13.26
Step-by-step explanation:
We are given;
x¯ = 20 minutes per day
μ = 17 minutes per day
sample standard deviation; s = 1.6 minutes
Sample size; n = 50
When σ is unknown, formula for test statistic is;
t = (x¯ - μ)/(s/√n)
t = (20 - 17)/(1.6/√50)
t = 3/0.2263
t ≈ 13.26
Which statement about the points (0, 3), (2, 8), (8, 2), and (0, 1) is true?
All but one of the points is on the x-axis.
The points (0, 3) and (0, 1) are located on the same axis.
All but one of the points are in Quadrant I.
The point (8, 2) is the closest to the x-axis.
Answer:
The points (0, 3) and (0, 1) are located on the same axis.
Step-by-step explanation:
coordinates are in the format (x, y) where x is how far it is on the x axis and y is how far it is on the y axis.
x axis is the horizontal (left and right)
y axis is the vertical (up and down)
Which line has a slope of -3 over four and a Y intercept of three over two
On Nick’s playlist,5/12 of the songs ore pop what fraction of the songs are not pop used exercises 1-3 ton answer the question
Answer:
7/12
Step-by-step explanation:
umm the question is confusing but this is the answer i got if i understood it correctly
Which statements are true about the rules of multiplication for signed numbers? Check all that apply.
Answer:
i think that 1, 3 and 4 are correct !!
Step-by-step explanation:
youre welcome, have a nice day!
NOTE: next time please provide the list of choices so it can be easier to help you
Answer:
1 3 4
Step-by-step explanation:
edge 2021
2 5/8 -1 1/4 fraction
Answer:
11/8 or 1 3/8
Step-by-step explanation:
hope this helps
Select the correct answer.
Which statement is true for the numbers 2.5 and -2.5?
Answer:
B (on a number line, -2.5 is located on the left of 0 and 2.5 is located on the right)
Step-by-step explanation:
On a number line, negative numbers are placed to the left of 0 (less than 0) while positive numbers are placed to the right of 0 (greater than 0)
please help me its really easy angles
Answer:
→137°
Step-by-step explanation:
[tex]\hookrightarrow 22+x+21=180[Sum\:of\:linear\:pair]\\\\\hookrightarrow x=180-21-22\\\\\hookrightarrow x=137[/tex]
solve this -5x=3x-24
Answer:
x=19/3 x=6 1/3 x=6.333333333
Step-by-step explanation:
I'm in desperate need of help, my other questions is worth 29 points. NO LINKS
Can someone please help me?
3. A quadratic relation has an equation of the form = ( − )( − ). Determine the value of
when:
a) the parabola has zeros at (4,0) and (2,0) and a y – intercept at (0,1)
b) the parabola has x – intercepts of (4,0) and (-2,0) and a y – intercept at (0,-1)
c) the parabola has zeros at (5,0) and (-3,0) and a minimum value of -10.
Answer:
Step-by-step explanation:
a) y = a(x - 4)(x - 2)
x = 0, y = 1, so 1 = a(-4)(-2) = 8a, a = 1/8
so y = (x - 4)(x - 2)/8
b) y = a(x - 4)(x + 2)
x = 0, y = 1, so 1 = a(-4)(2) = -8a, a = -1/8
so y = -(x - 4)(x + 2)/8
c) y = a(x - 5)(x + 3)
y = a(x² - 2x - 15) = a(x² - 2x + 1 - 16) = a[(x - 1)² - 16]
when x = 1, y has a minimum value -16a
so -16a = -10, a = 5/8
so y = 5(x - 5)(x + 3)/8