We have to calculate the mean, median and mode (or modes) of the data.
The size of the sample is n = 18.
We can start by sorting the data:
[1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 8]
We can calculate the mean as:
\(\begin{gathered} Mean=\frac{1}{n}\sum_{i\mathop{=}1}^nx_i \\ Mean=\frac{1}{18}(1+2*5+3*4+4*4+5*2+6+8) \\ Mean=\frac{1}{18}(1+10+12+16+10+6+8) \\ Mean=\frac{1}{18}(63) \\ Mean=3.5 \end{gathered}\)NOTE: we use the frequency of each value to save space, but we could have just add each value individually and get the same result.
We now will identify the median.
As we have an even sample size, the median will be the average between the 9th value and the 10th value.
Both values are 3, so the median is also 3.
The mode is the most frequent value in the dataset. In this case, the mode is 2, with a frequency of 5.
Both the mean and the median represent the data correctly as central measures. As the median is more robust than the mean, we can select the median as the best representation of the data.
Answer:
Mean = 3.5
Median = 3
Mode = 2
The median is a robust representation of the data.
Find the area of the trapezoid.
Answer:
10 cm
Step-by-step explanation:
\(A= \frac{1}{2} (a + b)h\\\\A= \frac{1}{2} (\frac{3}{2} +\frac{7}{2} )4\\\\A= \frac{1}{2}(\frac{10}{2})4\\\\A= \frac{1}{2}(5)4\\\\A= \frac{5}{2} *4\\\\A= 20/2=10\)
Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed. plss help
Answer:
3/5
Step-by-step explanation:
sinA = opp/hyp
= 21/35
= 3/5
Which of the following statements is true?
OA
5
10
14
2
15
25
18
20
B.
20
16
25
100
12
12
12
5
OC
1 1
1
2
6 5
4
3
OD
50
10
100
1
10
5
20
6
What does this mean
Can someone help me with these two questions please?
Answer:
Step-by-step explanation:
PLEASE HELP FAST !!!!!!!!
Identify the equation that represents a quadratic relationship
Answer:
Step-by-step explanation:
Quadratic means squared equation so
the first one is your answer.
y= 4x²
Katelyn had 2 dogs and 3 cats. Which of the following shows the ratio written correctly for the number of dogs to cats?
A) 3:2
B) 3-2
C) 2:3
D) 3 x 2
Answer:
2:3
Step-by-step explanation:
Ratio is indicated by :
Its dogs to cats, right so ratio is number of dogs:number of cats which is 2:3
Hope this helps plz mark brainliest if correct :D
Answer:
2:3
Step-by-step explanation:
2 is first and 3 is the second number so you put them in order
The diameter of a cylindrical water tank is 10 ft, and its height is 11 ft. What is the volume of the tank?
Answer:
the answer is 3455 cubic feet
Step-by-step explanation:
π x 100 x 11=3455
Below are monthly rents paid by 30 students who live off campus.
640 640 640 840 610 500
600 940 650 530 630 595
470 650 560 570 760 830
510 530 670 600 620 410
640 710 730 750 630 655
Mario needs a loan to buy a tractor for his farm. He qualified for a loan at 2 different banks.
.
First Bank of Trust
Loan Amount: $25,000
Annual Simple Interest
Rate: 6.5%
Loan Length: 4 years
What is
.
Enter your answer in the box.
.
Valor Bank
Loan Amount: $25,000
Annual Simple Interest
Rate: 4%
Loan Length: 6 years
total amount Mario will pay, including loan amount and interest, for the First Bank of Trust loan?
Answer:$31,500
Step-by-step explanation:
To calculate the total amount Mario will pay, including the loan amount and interest, for the loan from First Bank of Trust, we need to calculate the interest and add it to the loan amount.
The formula to calculate simple interest is:
Interest = (Loan Amount) x (Interest Rate) x (Loan Length)
Let's plug in the values given:
Loan Amount = $25,000
Interest Rate = 6.5% (or 0.065 as a decimal)
Loan Length = 4 years
Interest = $25,000 x 0.065 x 4 = $6,500
Now, let's calculate the total amount Mario will pay:
Total Amount = Loan Amount + Interest = $25,000 + $6,500 = $31,500
Therefore, the total amount Mario will pay, including the loan amount and interest, for the First Bank of Trust loan is $31,500.
The second term of a geometric sequence is and the sixth term is 2 and 32
The first term, a and the common ratio, r.
Answer:
There are two sets of solutions:
either \(a = 1\) and \(r = 2\), or\(a = -1\) and \(r = -2\).Step-by-step explanation:
The question states that \(a\) and \(r\) should represent the first term and the common ratio of this geometric sequence, respectively. Therefore:
First term of this sequence: \(a\).Second term of this sequence: \(r\, a\).Third term of this sequence: \(r^2\, a\).And so on so forth. Each term of this sequence after the first term is equal to \(r\) times the previous term.Let \(n\) denote a positive whole number. In general, the \(n\!\)-th term of this geometric sequence would be \(r^{n-1}\, a\).
The sixth term of this sequence would thus be \(r^{6-1}\, a = r^5\, a\).
The fact that the second term is \(2\) and the sixth term is \(32\) gives two equations about \(a\) and \(r\):
\(\displaystyle \left\lbrace\begin{aligned}& r\, a = 2 \\ & r^5\, a= 32\end{aligned}\right.\).
Take the quotient of these two equations to eliminate \(a\):
\(\displaystyle \frac{r^5\, a}{r\, a} = \frac{32}{2}\).
\(r^4 = 16\).
There are two possible roots: either \(r = 2\) or \(r = -2\).
When \(r = 2\), substitute back to the first equation and solve for \(a\): \(a = 1\).
On the other hand, when \(r = -2\), substituting back and solving for \(a\) would give \(a = -1\).
Substitute these values into the second equation. Either set of values will work.
What is the answer?
.......................................................
An expression is defined as a set of numbers, variables, and mathematical operations. The expressions can be arranged as shown below.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
According to the number of terms, the expressions can be arranged as,
Hence, the expressions can be arranged as shown above.
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A cliff Diver jumps from 50 feet into a lake. After hitting the water he travelled 22 feet below the surface. How far did he travel?
Add both distances together:
50 + 22 = 72 feet total distance.
The times for running a 5K for a local charity event are Normally distributed. Which standardized time represents the
87th percentile?
Find the z-table here.
-1.34
-1.13
01.13
1.34
Answer:
1.13
Step-by-step explanation:
Edge 2021 hope this helps
If your car travels 300 miles and uses 10.2 gallons, how many miles per gallon did you get? (Round your answer to three decimal places.)
Find the missing value(s) in this ratio table. Pens: 3 6 ? Pencils: 4 ? 12
Pen is 3 x 2 = 6
Pencils s 4 x 3 = 12
Lora's phone records data for screen time each week. Last week, she used 840 minutes. This week, Lora used 504 screen time minutes on the phone. Calculate the percent decrease in screen time this week.hurry pls
17%
34%
40%
67%
Answer:
40%
Step-by-step explanation:
840 - 504
= 336
336/840
= 0.4 × 100
= 40%
9. Find the volume of a cone with a radius of 10 mm and a height of 6 mm.
O 628 mm³
O 600 mm³
O 1,884 mm 3
O 1,254 mm
Answer:
Step-by-step explanation:
The formula for the volume of a cone is:
V = (1/3)πr^2h
where V is the volume of the cone, r is the radius of the base, and h is the height of the cone.
Substituting the given values, we have:
V = (1/3)π(10 mm)^2(6 mm)
V = (1/3)π(100 mm^2)(6 mm)
V = (1/3)π(600 mm^3)
V = 200π mm^3
Using a calculator to approximate π to 3.14, we get:
V ≈ 628.32 mm^3
Therefore, the answer is O 628 mm³.
18. Find the value of 3x² x 2(x-3y) divide by 6 when x is 6 and y is 1
Answer:
11664
Step by Step:
Evaluate for x=6,y=1
3(6^2)(6^2)(6−(3)(1))
3(6^2)(6^2)(6−(3)(1))
=11664
everything else being equal, explain why you usually would prefer an unbiased estimator to a biased estimator.
Everything else is being equal, but we prefer an unbiased estimator mostly compare to a biased estimator because a biased estimator may be used for a variety of reasons, such as the difficulty of computing an unbiased estimator (as in the case of estimating standard deviation).
The fact that a biased estimator may be unbiased with respect to different measures, and the fact that an unbiased estimator does not exist without further assumptions about a population. Thus, it's miles scientifically now no longer accurate to apply a biased estimator for a parameter while there may be an independent estimator for it.
Only in unavoidable situation, it's miles cautioned to apply a biased estimator (which need to be consistent) for a parameter while there may be no independent estimator for it. It could be anticipated that a terrific estimator need to bring about an estimate this is near the real cost of the parameter. Because in exercise the parameters are unknown, it isn't always viable to evaluate the estimate with the real cost. Unbiasedness serves as a degree of closeness among an estimator and the parameter.
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Evaluate the expression 2x-7 for x = -4
Answer:
-15
Step-by-step explanation:
The solution of expression for x = - 4 is,
⇒ - 15
We have to given that,
An expression is,
⇒ 2x - 7
Now, We can simplify the expression for x = - 4 as,
An expression is,
⇒ 2x - 7
Plug x = - 4;
⇒ 2 × - 4 - 7
⇒ - 8 - 7
⇒ - 15
Thus, The solution of expression for x = - 4 is,
⇒ - 15
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Determine the x and y-intercept for -3x + 2y = 12 PLEASEEEE HELPP THANK U
To find the x-intercept, let y = 0.
You get 4x-0=12
x = 3
x-intercept is (3,0)
----------------------------
To find the y-intercept, let x = 0.
You get 0-2y=12
y = -6
y-intercept is (0,-6)
Picture at the top to help with solving the answer.
Answer: B and D
Step-by-step explanation:
I see you picked the first one which is close but not right. This isn't right because you are adding the area of both rectangles together and in the first choice the + 7 should be 7y because y is the height which is why the 4th choice is correct and the second choice if you distribute you get 5y + 7y which is the same so that would be right as well.
Answer:
answer of this question is b
The function f(1) = 60,000(2)
00(2) 410 gives the number
of bacteria in a population & minutes after an initial
observation. How much time, in minutes, does it
take for the number of bacteria in the population to
double?
It takes 10 minutes for the number of bacteria in the population to double.
To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.
The given function is f(t) = 60,000 * 2^(t/10).
To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:
120,000 = 60,000 * 2^(t/10).
Next, we can simplify the equation by dividing both sides by 60,000:
2 = 2^(t/10).
Since both sides of the equation have the same base (2), we can equate the exponents:
t/10 = 1.
To solve for t, we multiply both sides by 10:
t = 10.
Therefore, it takes 10 minutes for the number of bacteria in the population to double.
This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.
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Can a function have a y-value with more than one x value why or why not ?
Enter an equation in point-slope form for the line. (6,8) and (7,1) is on the line. The equation of the line in point slope form is:
Answer:
\( y - 8 = -7(x - 6) \) or \( y - 1 = -7(x - 7) \)
Step-by-step explanation:
The point-slope form equation is \( y - b = m(x - a) \), where,
(a, b) = a point on the line.
\( m = slope = \frac{y_2 - y_1}{x_2 - x_1} \)
Given the two points, (6, 8) and (7, 1), find the slope of the line:
\( m = \frac{1 - 8}{7 - 6} \)
\( m = \frac{-7}{1} \)
\( m = -7 \)
There are two possible point-slope equation we can come up with using each points on the line given.
Using the point (6, 8) and m = -7,
Substitute m = -7, a = 6, and b = 8 into \( y - b = m(x - a) \)
\( y - 8 = -7(x - 6) \)
Using the point (7, 1) and m = -7,
Substitute m = -7, a = 7, and b = 1 into \( y - b = m(x - a) \)
\( y - 1 = -7(x - 7) \)
HELP ME Which of these tables represents a function?
A. W
B. X
C. Y
D. Z
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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Juan has $120 in his checking account. He buys 4 equally priced shirts and pays with a check. If Juan now has -$60 in his account, how much was each shirt ?
Answer:
45
Step-by-step explanation:
Step 1. 120+60=180
Step 2. 120-180=-60
Step 3. 180 divded by 4
Question 1
1 pts
A private parking lot in downtown Philadelphia is being built. It's 120' long by 75' wide. To put a
fence around it, the construction company will need at least 390' of fencing material. True or false?
We will see that the perimeter of the rectangle is exactly 390 ft, so the statement is true.
Is the fence enough?
For a rectangle of length L and width W, the perimeter is given by:
P = 2*(L + W).
In this case, we know that:
L = 120 ft
W = 75 ft
Replacing that on the perimeter equation we get:
P = 2*(120 ft + 75 ft) = 390 ft
So the perimeter is exactly 390 ft, meaning that to put a fence around the parking lot the company will need at least 390 ft of fence.
So the statement is correct.
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