Answer:
It would take 27.5 minutes the element to decay to 154 grams.
Step-by-step explanation:
The decay equation:
[tex]\frac {dN}{dt}\propto -N[/tex]
[tex]\Rightarrow \R\frac {dN}{dt}=-\lambda N[/tex]
[tex]\Rightarrow \frac {dN}N=-\lambda dt[/tex]
Integrating both sides
[tex]\Rightarrow \int \frac {dN}N=\int-\lambda dt[/tex]
[tex]\Rightarrow ln|N|=-\lambda t+c[/tex]
When t=0, N=[tex]N_0[/tex] = initial amount
[tex]ln|N_0|=-\lambda .0+c[/tex]
[tex]\Rightarrow c=ln|N_0|[/tex]
[tex]ln|N|=-\lambda t+ln|N_0|[/tex]
[tex]\Rightarrow ln|N|-ln|N_0|=-\lambda t[/tex]
[tex]\Rightarrow ln|\frac{N}{N_0}|=-\lambda t[/tex]
Decay equation:
[tex]ln|\frac{N}{N_0}|=-\lambda t[/tex]
Given that, the half life of of element X is 11 minutes.
For half life, [tex]N=\frac12 N_0[/tex], t= 11 min.
[tex]ln|\frac{N}{N_0}|=-\lambda t[/tex]
[tex]\Rightarrow ln|\frac{\frac12N_0}{N_0}|=-\lambda . 11[/tex]
[tex]\Rightarrow ln|\frac12}|=-\lambda . 11[/tex]
[tex]\Rightarrow -\lambda . 11=ln|\frac12}|[/tex]
[tex]\Rightarrow \lambda =\frac{ln|\frac12|}{-11}[/tex]
[tex]\Rightarrow \lambda =\frac{ln|2|}{11}[/tex] [ [tex]ln|\frac12|=ln|1|-ln|2|=-ln|2|[/tex] , since ln|1|=0]
N=154 grams, [tex]N_0[/tex] = 870 grams, t=?
[tex]ln|\frac{N}{N_0}|=-\lambda t[/tex]
[tex]\Rightarrow ln|\frac{154}{870}|=-\frac{ln|2|}{11}.t[/tex]
[tex]\Rightarrow t= \frac{ln|\frac{154}{870}|\times 11}{-ln|2|}[/tex]
=27.5 minutes
It would take 27.5 minutes the element to decay to 154 grams.
Answer:
60.6 minutes
Step-by-step explanation:
--------------------------------
Decide whether the following statement makes sense (or is clearly true) or does not make sense (or is clearly false). Explain your reasoning.
If interest rates stay at 4% APR and I continue to make my monthly $50 deposits into my retirement plan, I should have at least $30 comma 000 saved when I retire in 25 years.
The statement ___________ because I will have $ ___________ nothing in my retirement account when I retire in 25 years.
(Round to the nearest cent as needed.)
Answer:
False
$25,706.48
Step-by-step explanation:
The annual percentage rate (APR) is 4%, so the monthly rate is 4%/12 = ⅓%.
25 years = 300 months.
The monthly deposit (annuity) is $50.
The future value of the annuities is:
F = A [(1 + i)ⁿ − 1] / i
Given i = 1/300, A = 50, and n = 300:
F = 50 [(1 + 1/300)³⁰⁰ − 1] / (1/300)
F = 25,706.48
The statement is false. The amount after 25 years is less than $30,000.
The statement doesn't make sense because if you make $50 monthly deposits at a 4% APR for 25 years, you will have approximately $41,981.86 in your retirement account, not only $30,000.
Explanation:The statement does not make sense or is clearly false. Let's add up the total deposits over 25 years and calculate the interest gained using the given annual percentage rate (APR) of 4%.
Total deposits = $50/month * 12 months/year * 25 years = $15,000Using formula for compound interest, Final Value = P (1 + r/n)^(nt) where P is principal amount (initial investment), r is annual interest rate (decimal), n is number of times that interest applied per time period, t is time the money is invested for. In this case, P=$50, r=4%/12/100%=0.003333, n=1 (monthly), t=12*25=300. After calculations, the final value comes to approximately $41,981.86Therefore, if you continue to make $50 monthly deposits with a 4% APR for 25 years, you will have just under $41,981.86 in your retirement account, not $30,000 as stated. So, the statement is inaccurate.
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Kylie drew a circle with a diameter of 8 cm. Paige drew a circle with a radius of 3 cm. Approximately how much larger is the area of Kylie’s circle than the area of Paige’s circle? Use 3.14 for Pi and round to the nearest whole number.
22 centimeters squared
88 centimeters squared
173 centimeters squared
351 centimeters squared
Answer:
The answer is 22 centimeters.
Step-by-step explanation:
Answer:
22 centimeters squared
Step-by-step explanation:
trust me just did it on EDG
In a basketball tournament, Team A scored 5 less than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Let the variable b represent Team B's total points. The equation representing this scenario is (2b – 5) + b + (b + 80) = 983. Team B scored 227 total points.
Answer:
Team B scored 227 points.Step-by-step explanation:
The expression that models this problem is
[tex](2b-5)+b+(b+80)=983[/tex]
To know the total points Team B scored, we just need to solve the expression for [tex]b[/tex]
[tex]2b-5+b+b+80=983\\4b=983-80+5\\4b=908\\b=\frac{908}{4} \\b=227[/tex]
Therefore, Team B scored 227 points.
Notice that the problem specifies each term of the expression.
"Team A scored 5 less than twice as many points as Team B": [tex]2b-5[/tex]
"Team C scored 80 more points than Team B": [tex]b+80[/tex]
"They combined score was 983 points": = 983.
With all this information, we defined the expression to find [tex]b[/tex]
Answer:
c
Step-by-step explanation:
Yol drove 390.25 miles back home to surprise his brother for his birthday. The drive took 7 hours. What was Yol's average speed for the trip, in miles per hour?
Answer:
55.75 miles/hour is the average speed
Step-by-step explanation:
In this question, we are asked to calculate the average speed attained by Yol if he traveled a certain distance within a given time frame.
To calculate his average speed, what we do is to divide the distance travelled by Yol by the number of hours he traveled.
mathematically what we are saying is that
Average speed = Total distance/ Total time
From the question, the distance is 390.25 miles while the time is 7 hours
we now input these values
Average speed = 390.25/7 = 55.75 miles per hour is the average speed
Rowan has two pieces of cable, one 15 feet long and the other 12 feet long. For a science project he wants to cut them up to produces pieces of cable that are all the same length, with no cable left over. What is the greatest length, in feet, that he can make them?
Answer:
The greatest length she can cut to have equal length in all the cables, without a left over is 3 feet each
Step-by-step explanation:
in order to solve this, we treat the length of each cable as separate numbers for which we find the highest common factor, since we are told that they must all be of the same length. The highest common factor of two whole numbers, is the highest number which completely divides both number without a remainder. The highest common factor is found as follows:
Factors of 12 are : 1, 2, 3, 4, 6, and 12
factors of 15 are : 1, 3, 5, and 15
from the above, the highest factor that is common to both numbers is 3.
Therefore, if both cables are cut into 3 feet each, , a total of 9 pieces of cables (4 from the 12 feet cable and 5 from the 15 feet cable) of equal length will be obtained without any remainder.
Answer:
3 feet
Step-by-step explanation:
To solve this problem the heed to find the factors of 15 and 12
Factors of both numbers
12 : 1,2,3,4,6,12
15: :1.3,5,15
Then we find the highest common factor between them which is 3, 3 is a factor of both 12 and 15
remainder. The highest common factor is found as follows:
So, if both cables are cut into 3 feet each, you should have a total of 9 piecesa total of 9 pieces of cables.
From the 12 feet long cable you should have 3 feet x 4 meaning 4 pieces
From the 15 fert long cable you should have 3 feet x5 meaning 5 pieces
4+5 makes it 9 pieces without any remainder
Solve the system of equations.
- 4x + 11y = 15
x = 2y
y =
x=
What is the length of side AB of parallelogram ABCD?
units
Answer:
8 units
Step-by-step explanation:
did the assignment
Answer:
8
Step-by-step explanation:
Which description accurately describes the tide represented by the image below?
Image of the sun and moon at a 90 degree angle to Earth. An oval is around Earth that points toward and away from the moon to show the tidal bulges.
High tide
Lunar tide
Neap tide
Spring tide
Answer:
neap tide
Step-by-step explanation:
Answer:neap tide is the correct one
Step-by-step explanation:
QUESTION 16 The body temperatures of adults have a mean of 98.6° F and a standard deviation of 0.60° F. If 36 adults are randomly selected, find the probability that their mean body temperature is greater than 98.5° F. Hint: You will need to use the sampling distribution of the sample mean.
Answer:
34%
Step-by-step explanation:
The body temperatures of adults have a mean of 98.6° F and a standard deviation of 0.60° F.
We want to find the probability that the mean body temperature of 36 randomly selected adults is greater than 98.5° F.
The mean of the sampling distribution of the sample means is the same as the population mean,
[tex] \mu = 98.6 \degree[/tex]
The standard error of the mean becomes the standard deviation of the sampling distribution of the means.
[tex]SE= \frac{ \sigma}{ \sqrt{n} } [/tex]
[tex]SE= \frac{0.6}{ \sqrt{36} } = 0.1[/tex]
By the Central Limit Theorem, the distribution of mean of means is approximately normal
The z-score of 98.5° F
[tex] z= \frac{98.5 - 98.6}{0.1} = - 1[/tex]
By the empirical rule 68% of the distribution is within one standard deviation (-1 to 1).
Therefore from (-1 to 0), it will be approximately 34%
Final answer:
To calculate the probability that the mean body temperature of 36 randomly selected adults is greater than 98.5° F, you'd use the z-score formula after finding the standard error. The final probability is found by subtracting the z-score probability corresponding to a score of -1 from 1. The correct distribution for calculation is the z-distribution due to the known standard deviation.
Explanation:
The question pertains to calculating the probability that the mean body temperature of a randomly selected sample of 36 adults is greater than 98.5° F. Given that the mean is 98.6° F and the standard deviation is 0.60° F, one would first calculate the standard error of the mean (SE) using the formula SE = σ/√n, where σ is the standard deviation and n is the sample size. In this case, SE = 0.60/√36 = 0.10° F.
To find the probability, we can use the z-score formula, which is z = (X - μ) / SE, where X is the value we are finding the probability for, μ is the mean, and SE is the standard error. Plugging in the values, we get z = (98.5 - 98.6) / 0.10 = -1. When we look up the z-score of -1 in the z-tables or use a statistical software, we find the probability to the left of z=-1. However, since we want the probability that the mean temperature is greater than 98.5° F, we need to subtract this value from 1.
The final step will give us the probability that the mean of the selected sample is greater than 98.5° F. It's important to note that while the question hints at using the t-distribution due to not knowing the population standard deviation, since we're using the provided standard deviation of 0.60° F, we're actually using the z-distribution. If we were dealing with smaller sample sizes or truly didn't know the population standard deviation, we would use the t-distribution as suggested.
The value of a particular investment follows a pattern of exponential growth. In the year 2000, you invested money in a money market account. The value of your investment t years after 2000 is given by the exponential growth model A=1700e^0.062t When will the account be worth $2466?
Answer:
The value of the investment will be worth $2466 in the year 2017
Step-by-step explanation:
In this question, we are tasked with finding the specific year in which an amount invested in a money market account reaches a particular value
To get this year, what we need to do is to get the value of t from the exponential equation given in the question. To get t, we simply make the value of A set to the particular value in the question.
Hence, we use [tex]A = 1700e^{0.062t} \\[/tex]
Now, we plug the value of A = 2466 and take the natural logarithm of both sides i.e [tex]Log_{e}[/tex] or simply ln
From;
[tex]2466 = 1700e^{0.062t}[/tex]
ln 2466 = ln[tex]1700e^{0.062t}[/tex]
ln 2466 = 0.062t ln1700
7.81 = 0.062t × 7.44
t = 7.81/(0.062 × 7.44)
t = 16.93 approximately 17 years
This means that the value of the investment will have that worth in the year 2000+17 = year 2017
UIME REMAINING
02:44:54
Rate the following bank accounts from most to least liquid: CD, savings account, checking account, money market account
a CD, savings account, checking account, money market account
b. Savings account, checking account, CD, money market account
CD, money market account, savings account, checking account
d. Checking account, savings account, money market account, CD
C
Please select the best answer from the choices provided
Mark this and retum
Save and Exit
Submit
Answer:
b
Step-by-step explanation:
Kenny wants to take his dog to an obedience school. At sit and stay school, 12 lessons cost $96. At canine community center,25 lessons cost $125. Which is the better deal? Find the unit rate for lessons at sit and stay school.Show your work
The cost of one lesson in obedience school is $8 and in community center is $5. Therefore, canine community center is better choice.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Cost of 12 lessons to obedience school = $96
Cost of 1 lesson to obedience school = 96/12 = $8
Also, cost of 25 lessons at canine community center = $125
Cost of 1 lesson at canine community center = 125 / 25 = $5
Since, the cost of one lesson in obedience school is $8 and in community center is $5.
So, the canine community center is better school.
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The price of a gallon of apple cider is $7.00 the price of eight 4.23 ounces juice boxes is $2.39 suppose the cider was instead packets like the juice in boxes approximately what is the cost per eight 4.23 ounce boxes of cider
Answer:
$1.85
Step-by-step explanation:
$7.00 is the price of 1 gallon of apple cider
Step 1
The first step would be to find how many ounces make a gallon
And 1 gallon of apple cider juice = 128 ounces
Therefore,
$7.00 makes 128 ounces of apple cider juice
Step 2
The second step is to find how many ounces make 1 packet or package boxes
Eight 4.23 ounces juice boxes = 1 packet
Therefore, 8 × 4.23 ounces = 33.84 ounces.
Step 3
To find cost per eight 4.23 ounce boxes of cider which is the cost per 33.84 ounces,
We used the proportion below.
If 128 ounces = $7
33.84 ounces = Y( we call this y because it is unknown)
We cross multiply
128 ounces × Y = $7 × 33.84 ounces
Y =($7 × 33.84 ounces) ÷ 128 ounces
Y = $1.85
Therefore, 33.84 ounces which is would cost us $1.85.
Therefore, the cost is $1.85 per eight 4.23 ounce boxes of cider.
What is the length of the missing leg?
15 m/
9 m
meters
Answer:
The length of the missing leg is approximately 17.49 meters.
Explanation:
To find the length of the missing leg in a right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
So, if one leg(hypotenuse) is 15 meters and the other leg(base) is 9 meters, and we denote the missing leg as [tex]\(x\)[/tex] meters, we have:
[tex]\[x^2 + 9^2 = 15^2\][/tex]
[tex]\[x^2 + 81 = 225\][/tex]
[tex]\[x^2 =144 \][/tex]
Now, to find [tex]\(x\)[/tex] , we take the square root of both sides:
[tex]\[x = \sqrt{144}\][/tex]
[tex]\[x = 12\][/tex]
Question:
A right triangle's leg is 9 and the hypotenuse is 15, what is the other leg s length?
2. You put $3,800 dollars in a savings account. The bank will provide 1.8% interest every year. Write and solve a model that describes how much money will be in the account in 15 years.
Answer:
The money that will be in her account in 15 years is $4965.84
Step-by-step explanation:
Given data
Principal p= $3800
rate r= 1.8% - - - - - - 1.8/100=0.018
Time t= 15 years
Final amount A=?
The model that describes the e amount in the account is the compound interest model
A = P(1 + r)^t
Substituting our given data into this model we have
A= 3800(1+0.018)^1 5
A=3800(1.018)^15
A=3800*1.3068
A= $4965.84
what is the answer to this?
Write an equation with slope of 2/3 and y intercept of -3
Answer:
y = [tex]\frac{2}{3}[/tex]x - 3
Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
You know:
m = 2/3
b = -3 So substitute/plug it into the equation
y = mx + b
[tex]y=\frac{2}{3}x-3[/tex]
50 POINTS!
a) Write a polynomial for the perimeter of this shape. Simplify the polynomial. (The polynomial is in the photo)
b) Determine the perimeter of the shape when d = 5 m.
Answer:
a) 4d + 18
b) 38 inches
Step-by-step explanation:
a) The perimeter is simply the sum of all the exterior side lengths.
On the top, we've got d and d + 3.
On the left side, we have 2 and an unknown. However, we do know that this "unknown" + 2 will be the same length as the right side, which is 6. So, we have 2 + unknown = 6; hence, the unknown = 4.
The bottom is the same length as the top two lengths, so it's:
d + (d + 3) = 2d + 3
And, the right side is 6.
Adding these together, we have:
d + (d + 3) + 2 + 4 + d + (d + 3) + 6 = 4d + 18
b) We just need to substitute 5 in for d:
4d + 18
4 * 5 + 18 = 20 + 18 = 38 inches
AnswerAnswer:
a) 4d + 18
b) 38 inches
Step-by-step explanation:
a) The perimeter is simply the sum of all the exterior side lengths.
On the top, we've got d and d + 3.
On the left side, we have 2 and an unknown. However, we do know that this "unknown" + 2 will be the same length as the right side, which is 6. So, we have 2 + unknown = 6; hence, the unknown = 4.
The bottom is the same length as the top two lengths, so it's:
d + (d + 3) = 2d + 3
And, the right side is 6.
Adding these together, we have:
d + (d + 3) + 2 + 4 + d + (d + 3) + 6 = 4d + 18
b) We just need to substitute 5 in for d:
4d + 18
4 * 5 + 18 = 20 + 18 = 38 inches
Step-by-step explanation:
Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct solutions? (options on photo)
Answer:
[tex]Fx=\frac{5\pm\sqrt{25+24} }{6}[/tex]
Step-by-step explanation:
A quadratic equation in one variable given by the general expression:
[tex]ax^2+bx+c[/tex]
Where:
[tex]a\neq 0[/tex]
The roots of this equation can be found using the quadratic formula, which is given by:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
So:
[tex]y(x)=3x^2-5x-2=0[/tex]
As you can see, in this case:
[tex]a=3\\b=-5\\c=-2[/tex]
Using the quadratic formula:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}=\frac{-(-5)\pm\sqrt{(-5)^2-4(3)(-2)} }{2(3)}=\frac{5\pm\sqrt{25+24} }{6}[/tex]
Therefore, the answer is:
[tex]Fx=\frac{5\pm\sqrt{25+24} }{6}[/tex]
Convert the following to find the unknown measure.
1) 42 Km = ?
miles
2) 37 oz = ?
grams
3) 15.3 L = ?
Quarts
Answer:
1. 26.0976
2. 1048.93
3. 16.16733
An oblique prism with a square base of edge length x units has a volume of One-halfx3 cubic units. Which expression represents the height of the prism?
Answer:
1/2x units
Step-by-step explanation:
Answer:
1/2x units
Step-by-step explanation:
I don't know how to do a math problem because I really am really bad at math so I was wondering if somebody can help me and my mom will help me or my dad so I really need your help please help me thank you
Answer:
uh my good sir whats your question we cant help if we dont know what the questions is.
Step-by-step explanation:
A sports store I'd having a sale on soccer balls. A soccer coach purchases 10 soccer balls and 2 soccers bags for $155. Another scorer coach purchases 12 soccer balls and 3 soccer bags for $189. What is the cost of a soccer ball and the cost of a soccer ball ?
Answer:
- The price of a soccer ball is $14.5
- The price of a soccer bag is $5
Step-by-step explanation:
To solve this problem, we call:
s = the price of a single soccer ball
b = the price of a soccer bag
We have:
1) A soccer coach purchases 10 soccer balls and 2 soccers bags for $155: so we can write
[tex]10s+2b=155[/tex] (1)
2) Another scorer coach purchases 12 soccer balls and 3 soccer bags for $189: so we can write
[tex]12s+3b=189[/tex] (2)
So we have a system of two equations in two unknown variables:
[tex]10s+2b=155\\12s+3b=189[/tex]
We solve it by multiplying eq.(1) by 3 and eq(2) by 2, and we get:
[tex]30s+6b=465\\24s+6b=378[/tex]
Now we substract eq(2) from eq(1) and we get:
[tex]6s=87[/tex]
So
[tex]s=\frac{87}{6}=14.5[/tex]
And by using eq(1) we also find the value of b:
[tex]10s+2b=155\\b=\frac{155-10s}{2}=\frac{155-10(14.5)}{2}=5[/tex]
So:
- The price of a soccer ball is $14.5
- The price of a soccer bag is $5
To solve this problem, we can set up a system of equations and use the elimination method to find the values of x and y. The cost of a soccer ball is $14.5 and the cost of a soccer bag is $5.
Explanation:To solve this problem, we can set up a system of equations. Let's use x to represent the cost of a soccer ball and y to represent the cost of a soccer bag.
From the first equation, we have 10x + 2y = 155. From the second equation, we have 12x + 3y = 189.
We can solve this system of equations using substitution or elimination method. I will use the elimination method.
Now we can substitute the value of x into one of the equations to find the value of y.
Therefore, the cost of a soccer ball is $14.5 and the cost of a soccer bag is $5.
PLEASE HELP FAST Convert the following equation to logarithmic or exponential form:
log subscript 49 left parenthesis 7 right parenthesis equals 1 half
Your answer:
49 to the power of 7 equals 1 half
7 to the power of 49 equals 1 half
open parentheses 1 half close parentheses to the power of 7 equals 49
49 to the power of 1 half end exponent equals 7
Answer:
D
Step-by-step explanation:
I interpret your problem as log49(7)=1/2
This would be the same as 49^1/2=7 because taking a number to the 1/2 power is the same as taking its square root [sqrt(49)=7].
can someone help me find x pleaseeee
how do i calculate the height of a parallelogram?
Answer:
A/b = Area/base
Step-by-step explanation:
1)If area of the parallelogram has been given :
Area of a parallelogram = bxh
Area of a parallelogram/b = h
2) And if the measure of the sides is given then use Pythagoras theorem to find the height
Hope this will help u mate
Which three-dimensional object is formed when the shape is rotated about the axis as shown?
pyramid
cylinder
cone
triangular prism
The three-dimensional object formed when the shape is rotated about the axis is a cone.
What is a cone?A cone is a solid which tapers from a circular base to a point. A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. A cone is formed by a set of line segments, half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.
here, we have,
we know that,
When a right triangle is rotated about an axis, a cone is formed.
Find the attached figure to visualize the rotation.
Rotation of the base AB of the right triangle results in the circular base of the cone while rotation of hypotenuse AC results in the lateral surface of the cone.
Hence, The three-dimensional object is formed when the shape is rotated about the axis is a cone.
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5x - y ÷ 8 when x = 5 and y = 8
Answer:
24
Step-by-step explanation:
5x - y ÷ 8
Let x=5 and y=8
5(5) -8÷8
PEMDAS
multiply and divide from left to right
25 -8÷8
25 -1
Then add and subtract
24
24
Step-by-step explanation:
First I replaced x and y so the equation was:
5(5)-8/8
multiply 5*5
25-8/8
25-1
When you subtract the answer is 24
And I solved this equation using PEMDAS!
Hope that helps!!
How far is point E(5,3) from the origin ?
Answer:
It is 5.84 units away from the origin.
Step-by-step explanation:
[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2}} [/tex]
Therefore:
[tex]d = \sqrt{ {(5 - 0)}^{2} + {(3 - 0)}^{2} } \\ d = \sqrt{ {5}^{2} + {3}^{2} } = \sqrt{25 + 9} \\ d = \sqrt{34} = 5.83951...[/tex]
Final answer:
The distance from point E(5,3) to the origin is calculated using the Pythagorean theorem, resulting in \/34 units.
Explanation:
The question asks how far point E(5,3) is from the origin. To find the distance between a point and the origin in a Cartesian coordinate system, we use the Pythagorean theorem. Specifically, the distance ( extit{d}) can be calculated using the formula extit{d} = \/((x_2 - x_1)² + (y_2 - y_1)²), where ( extit{x_1}, extit{y_1}) represents the coordinates of the first point (in this case, the origin (0,0)) and ( extit{x_2}, extit{y_2}) represents the coordinates of the second point (in this case, point E(5,3)).
Plugging in the values, we get extit{d} = \/((5 - 0)² + (3 - 0)²) = \/(5² + 3²) = \/(25 + 9) = \/34. The exact distance between point E and the origin is \/34 units, which can also be approximated as a decimal if necessary.
please i need help it is due in 2 mins
Answer:
mean = 9.3
median = 10
mode =13
Step-by-step explanation:
First put the data in order from smallest to largest
1,1,7,9,9,10,11,13,13,13,15
The mean is the sum of all the numbers divide by how many numbers we have
(1+1+7+9+9+10+11+13+13+13+15)/11102/11=9.272727=9.3
median is the middle number
11/2 = 5.5
The sixth number is the median= 10
mode is most often 13 appears the most