Acellus
Find the probability that a randomly
selected point within the circle falls
in the red shaded area (square).
Help Resources
r = 4 cm
4 √2 cm
[?]%
Round to the nearest tenth of a percent.
Enter
Answers
Answer:
The Probability is 63.7%
Step-by-step explanation:
We need to calculate the area of the circle and the area of the square
From the question, we can see that the square is of side 4 √2 cm
The area of the square is simply the square of its side length
We have this as 4√2 * 4√2 = 16 * 2 = 32 cm^2
The area of the circle can be calculated using the formula for the area of a circle, with the radius being 4 cm
So, we have the area of the circle as;
Pi * r^2
= 22/7 * 4 * 4 = 50.3 cm^2
so, to find the probability, we need to divide the area of the circle by the area of the square
we have this as;
32/50.3 = 0.6366
In percentage, we simply multiply by 100% to give
0.6366 * 100% = 63.66%
To the nearest tenth, this is 63.7%
Related Questions
Evaluate the expression 4 to the power of 3 ÷ (7 − 3) × 2.
Answers
Answer:
5.0625 is 1.5 to the fourth power
Answer:
8
Step-by-step explanation:
4 to the power of 3 is 64.
64 ÷ (7 − 3) × 2
64 ÷ (4) × 2
64 ÷ 8
8
Your answer is 8.
I hope this helps, have a nice day.
What is the length of Line segment A C?
3 ft
4 ft
18 ft
12 ft
On edge unity pls help
Answers
Answer:
4
Step-by-step explanation:
because its 4
The length of Line segment AC is 12ft.
Similar trianglesThe given triangle ABC is similar to triangle BMN
The length of AM = BM = 4ft
The length AB = BM + AM = 4 ft + 4ft = 8ft
The length of Line segment AC is calculated by using similar triangle proportions as follows;
[tex]\frac{AB}{BM} = \frac{AC}{MN} \\\\\frac{8}{4} = \frac{AC}{6} \\\\2 = \frac{AC}{6}\\\\AC = 2(6)\\\\AC = 12 \ ft[/tex]
Learn more about similar triangles here: https://brainly.com/question/11899908
Today,high tide measured 5.5 ft and low tide measured 1 ft. What is the amplitude of a cosine function modeling the depth of the water in feet as a function of time in hours
Answers
Answer:
[tex]A = 2.25ft[/tex]
Step-by-step explanation:
Given
[tex]High = 5.5ft[/tex]
[tex]Low = 1ft[/tex]
Required
The amplitude (A)
This is calculated as:
[tex]A = \frac{1}{2}(High - Low)[/tex]
So, we have:
[tex]A = \frac{1}{2}(5.5ft - 1ft)[/tex]
[tex]A = \frac{1}{2} * 4.5ft[/tex]
[tex]A = 2.25ft[/tex]
write the set of positive perfect square numbers that is less than 120 . any sort of help is appreciated due 5 pm
Answers
Answer:
{1,4,9,16,25,36,49,64,81,100}
John finances his daughter's college education by making deposits into a fund earning interest at an annual effective rate of 8%. For 18 years he deposits X at the beginning of each month. In the 16th through the 19th years, he makes a withdrawal of 25,000 at the beginning of each year. The final withdrawal reduces the fund balance to zero. Calculate X.
Answers
Answer:
Monthly payment = 241.925
Step-by-step explanation:
Effective interest rate is the actual interest paid at the end of the year AFTER compounding. Most credit cards charge x% ("APR", annual percentage rate)annually. Since it is compounded monthly, each month the balance increases by (x//12)%, and by the end of the year, you will be paying effectively (x//12)^12 %, which is the effective interest rate.
Here, effective (annual) interest rate is 8%. We need the monthly rate, i.
(1+i)^12 = 1.08
Solving, we have i = 0.6434% monthly approximately
To balance the deposits and withdrawals, we note that the last withdrawal is the beginning of year 19, and the last deposit is the last month of year 18. We therefore conclude that the "future values" fall on the same day, and that they are equal.
We consider the annual deposits D (accumulated at the end of the year, and annual withdrawals W are in separate accounts. By the end of the operations, one will balance the other (they are equal).
We will need the following formula to calculate future value F given the periodic amount, A, interest rate per period, i, and the number of periods.
F(A,i,n) = A*((1+i)^n-1)/i
Step 1:
calculate the future value of the withdrawals
A = W = 25000 (annual withdrawal)
i = 8% (effective annual interest)
n = 4 years (beginning of 16,17,18,and 19th years)
F(A,i,n) = A*((1+i)^n-1)/i
= 25000( (1+0.08)^4 - 1)/(0.08)
= 112652.80
This is also the total deposit after eighteen years.
Step 2:
calculate the future value of the annual deposits D
A = D (total of annual deposits)
i = 8% (effective annual interest)
n = 18 years
Future value of deposits
F(A,i,n) = A*((1+i)^n-1)/i
= D( (1+0.08)^18 -1 ) / 0.08
= 37.45024373981167D
Since this must equal the total withdrawal, we equate the two to calculate D.
37.45024373981167D=112652.80
and solve for D
D = 112652.80 / 37.45024373981167
= $3008.0659
Step 3
Calculate monthly deposit, X
Effective interest rate is the actual interest paid at the end of the year AFTER compounding. Most credit cards charge x% ("APR", annual percentage rate)annually. Since it is compounded monthly, each month the balance increases by (x//12)%, and by the end of the year, you will be paying effectively (x//12)^12 %, which is the effective interest rate.
Here, effective (annual) interest rate is 8%. We need the monthly rate, i.
(1+i)^12 = 1.08
The actual monthly interest rate is therefore
i = 1.08^(1/12)-1
Over a 12 month period, (one year), the monthly amount X to accumulate an annual amount D (=$3008.0659) is therefore given by
D = X*((1+i)^n-1)/i
3008.0659 = X*(1.08-1)/(1.08^(1/12)-1)
or the monthly amount
X = $3008.0659 / ( 1.08^(1/12)-1)
= 241.925 per month.
=
Peter work three more days than jill. Peter earn $20 day jill earn $40 day. But they earned the same amount of money
Answers
Answer: Wowwww that ain't good at all and sooo not fair if Peter worked three more days than Jill but still only got twenty bucks. That's pretty sad.
Step-by-step explanation:
ajdjsjnsjsjdjxhdjdjdjdjdjsjsjsjssjs
Answers
Step-by-step explanation:
The area of a square is given by :
A = a²
Where
a is the side of the square
For square A, Area = 64 sq units
64 = a²
a = 8 units
For square B, Area = 30 sq units
30 = a²
a = [tex]\sqrt{30}[/tex] units
For square C, Side length = 14 units
A = 14²
A = 196 sq units
For square D, Side length = [tex]\sqrt{30}[/tex] units
A = [tex](\sqrt{30})^2[/tex]²
A = 30 sq units
Hence, this is the required solution.
PLEASE PLEASE PLEASE SOMEONE HELP ME THIS IS DUE TODAY
EXPLAINING YOUR ANSWER = BRAINLIEST
What is m∠E?
Answers
Answer:
try 144
Step-by-step explanation:
m<E is basically just ot asking you to find the angle of E, i think :').
And since all angles equal to 180, 180-36=144
(hope ots right)
Please help me with this question...
Answers
Answer:
my answer is in this picture. sorry about my presentation and English
how can the position of a certain value in a given set of data be described and used in solving real-life problems?
Answers
Percentiles
Assume that the elements in a data set are rank ordered from the smallest to the largest. The values that divide a rank-ordered set of elements into 100 equal parts are called percentiles.
An element having a percentile rank of Pi would have a greater value than i percent of all the elements in the set. Thus, the observation at the 50th percentile would be denoted P50, and it would be greater than 50 percent of the observations in the set. An observation at the 50th percentile would correspond to the median value in the set.
Quartiles
Quartiles divide a rank-ordered data set into four equal parts. The values that divide each part are called the first, second, and third quartiles; and they are denoted by Q1, Q2, and Q3, respectively. The chart below shows a set of four numbers divided into quartiles.
Eight numbers: 1, 2, 3, 4, 5, 6, 7, 8
Note the relationship between quartiles and percentiles. Q1 corresponds to P25, Q2 corresponds to P50, and Q3 corresponds to P75. Q2 is the median value in the set.
While measures of central tendency, dispersion, and skewness are used often in statistics, there are other methods of characterizing or describing data distributions or portions that are commonly used as well. We will examine several of these statistical measures, some of which you may already know or have seen elsewhere.
Standard Scores (z-Scores)
A standard score (aka, a z-score) indicates how many standard deviations an element is from the mean. A standard score can be calculated from the following formula.
z = (X - μ) / σ
where z is the z-score, X is the value of the element, μ is the mean of the population, and σ is the standard deviation.
Here is how to interpret z-scores.
A z-score less than 0 represents an element less than the mean.
A z-score greater than 0 represents an element greater than the mean.
A z-score equal to 0 represents an element equal to the mean.
A z-score equal to 1 represents an element that is 1 standard deviation greater than the mean; a z-score equal to 2, 2 standard deviations greater than the mean; etc.
A z-score equal to -1 represents an element that is 1 standard deviation less than the mean; a z-score equal to -2, 2 standard deviations less than the mean; etc.
A water pail in your backyard has a small hole in it. You notice that it has drained a total of 2.5 liters in 4 days. What is the average change in water volume each day?
Answers
Answer:
0.625 liters
Step-by-step explanation:
Given data
volume drained= 2.5Liters
Time= 4 days
Now the if 4 days leakage will produce a volume of 2.5Liters
Then 1 day will produce a volume of x liters
cross multiply
4x= 2.5
x= 2.5/4
x= 0.625 liters per day
Hence, each day will produce 0.625 liters
pls pls pls help don't ignore imma fail
Answers
Answer:
6 as b
7 as a
Step-by-step explanation:
if indeed the scale is 3 to 1, this is correct! the answer is B
Please help me on this problem, im struggling
Answers
Answer:
a
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
in fact if we look at the graph we can see that sausages are 7.5 % and mushrooms 5%, while in the table this datas are inverted.
4,570= 3thousands+___hundreds+ 7 tens
Answers
Answer: 4 thousands, 5 hundreds, 7 tens
Step-by-step explanation: 4,570 is pretty easy to break down. The first place value is 0 so nothing for that. As you have it there the tens place values has 7. Next is hundreds and there's a 5 there so 5 hundreds. If the number is 4,570 then it should be 4 thousands not three.
if m 7=99 degrees and m 1=32 degrees then what is m 4 + m 5
Answers
Answer:
229°
Step-by-step explanation:
(180- 32) + (180 - 99)
148 +81
= 229°
Write an equation that passes through the points (3, 6) and (1,-1)
Answers
m = y2 - y1
x2 - x1
= -1 - 6
1 - 3
= -7 / (-2)
= 7/2
y = m(x - x1) + y1
y = 7(x - 3) + 6
2
2y = 7x - 21 + 12
2y = 7x - 9
Answer:
y = 7/2x - 9/2
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - 6 / 1 - 3
-7 / -2
7/2
y = 7/2x + b
-1 = 7/2(1) + b
-1 = 7/2 + b
-9/2 = b
If Megan sells 22 cakes, then f(22) = 121?
Answers
I don't know what the question is but I'm pretty sure the answer is 5.5.
X = 5.5 or the price of each cake is 5.5$
A school librarian surveyed a random sample of $50$ students to find out which library resources students value most. The table below shows the results.
Library Resources Number of Students
Books 24
Study Areas 10
Classes 6
Movies 10
Which statements are best supported by the data?
Select all that apply.
A It is expected that $15\%$ to $25\%$ of all students will value movies the most.
B It is expected that $20\%$ to $30\%$ of all students will value books the most.
C In a group of $25$ students, it is expected that around $5$ students will value study areas the most.
D In a group of $100$ students, it is expected that around $6$ students will value classes the most.
E In a group of $200$ students, it is expected that $20$ students will value study areas the most, and $20$ students will value movies the most.
Answers
Answer:
E
Step-by-step explanation:
If you break each classification of what items metter most you get the following percentahes:
Books 48%
Study Areas 5%
Classes 6%
Movies 20%
A - you could make an argument that this MAY be an accurate reflection but the percentage does not bring 15% into the data so this seems like conjecture.
B - Data suggest a higher support for books at 48%
C - Data suggest 1 or two in a group of 25 would answer study areas
What additional information is needed to prove the triangles congruent by SSS
Answers
Answer:
Angle a = Angle D
Answer:
A: Angle A Angle D
Step-by-step explanation:
Jenna sells apples and pears. If 20 apples and 60 pears re sold every hour, there will be 80 pears when all the apples are sold. If 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold. How many pears are there at the stall?
Answers
Answer:
There are 1,360 pears.
Step-by-step explanation:
Suppose that there are P pears and A apples.
We know that:
"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."
Suppose that all of these are sold after N hours, then:
20*N = A
80*N = P - 80
We also know that:
"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."
60*N = A
20*N = P - 400
Then we have four equations:
20*N = A
80*N = P - 80
60*N = A
20*N = P - 400
From the first one and the second one, we get:
20*N = A = 20*N = P - 400
A = P - 400
Now we have 3 equations:
80*N = P - 80
60*N = A
A = P - 400
Now we can just replace the third equation into the second one, then we get:
60*N = A = P - 400
Now we have two equations:
80*N = P - 80
60*N = P - 400
Now, remember that we want to find the number of pears, so we want to find the value of P.
To do it, we can take the quotient of the two equations, so we get:
(80*N)/(60*N) = (P - 80)/(P - 400)
8/6 = (P - 80)/(P - 400)
Now we can solve this for P
(8/6)*(P - 400) = P - 80
(8/6)*P - (8/6)*400 = P - 80
(8/6)*P - P = (8/6)*400 - 80
(2/6)*P = (8/6)*400 - 80
P = (6/2)*( (8/6)*400 - 80 )
P = 3*( (8/6)*400 - 80 ) = 1,360
There are 1,360 pears.
What does b stand for in this equation?
3b=12
A 1
B 2
C 3
D 4
Answers
Answer:
4
Step-by-step explanation:
3b=12
Divide each side by 3
3b/3 =12/3
b =4
Answer:
D. 4Step-by-step explanation:
Given,
3b = 12
=> b = 12 ÷ 3
=> b = 4 (Ans)
David is six times older than Janet. If David is 48 years old, how old is Janet?
Answers
Answer:
David is six times older than Janet. If David is 48 years old, how old is Janet? Janet is 8 years old.
Step-by-step explanation:
48÷6=8
find the sum of (2x-12) from x=7 to x=16
Answers
Answer:
it's 2 obviously
Step-by-step explanation:
thanks
if the needle below is spun twice and the letters are recorded both times , which of the following would be the probability it would land on letters A and C (in either order)?
(1) 1/3
(2)2/3
(3)2/9
(4)5/6|
Answers
PLEASEEEEEEEEEEE HELPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
1.04
$45,552
Step-by-step explanation:
new price = 1.04 * original price
new price = 1.04 * 43,800
newprice: $45,552
which are like terms
will give brainest if correct
Answers
Answer:
3ad³
Step-by-step explanation:
Like terms have same variables with same powers.
12ad³ and 3ad³ has same variables a and d³
I hope this helps
Dahlia is simplifying (3 t) Superscript 4 using these steps:
(3 t) Superscript 4 = 3 t times 3 t times 3 t times 3 t = 3 times 3 times 3 times 3 times t times t times t times t
Although Dahlia is correct so far, which step could she have used instead to simplify the expression (3 t) Superscript 4?
(3 t) Superscript 4 = 3 t Superscript 4
3 Superscript 4 Baseline t = 81 t
4 (3 t) = 12 t
3 Superscript 4 Baseline t Superscript 4 Baseline = 81 t Superscript 4
Answers
Answer:
D would be the answer
Step-by-step explanation:
Took the test got it correct <33 good luck
first answer gets most brainley
Answers
Answer:
What are we supposed to do on this
Step-by-step explanation:
Answer: the dilated point will be 2 units at the right of P, and 3 units above P.
Step-by-step explanation:
x y
-2 -5
-1 -2
0 1
1 4
2 7
Which equation could represent the data in the table?
y = 3x + 1
y = -3x + 1
y = -3x - 1
y = x - 3
Answers
Answer:
y+3x+1
Step-by-step explanation:
Kevin bought dvds of different movies he spent $5 for each movie the equation y=5 shows how much he spent for the movies
Answers
Answer:
The dependent variable is y (the amount paid)
Step-by-step explanation:
Given
[tex]y = 5x[/tex]
Where
[tex]x \to[/tex] number of movies
[tex]y \to[/tex] amount paid
Required
The dependent variable
From the question, we have:
[tex]y = 5x[/tex]
This means that the value of y is determined by the value of x.
Take for instance:
[tex]x = 2[/tex]
The value of y will be:
[tex]y =5*2 = 10[/tex]
If x changes (say; x = 12), y will also change
[tex]y =5*12 = 60[/tex]
Hence, y is the dependent variable
