The sample variance is 14.67 and the sample standard deviation is 3.83.
To find the sample variance, we first need to find the sample mean of the data set. The mean of the data set is (14 + 7 + 10 + 9) / 4 = 10. The variance is the average of the squared differences between each data point and the mean. The sample variance is ((14 - 10)^2 + (7 - 10)^2 + (10 - 10)^2 + (9 - 10)^2) / (4 - 1) = 14.67. The sample standard deviation is the square root of the sample variance, which is 3.83.
These values give us an idea of the spread or dispersion of the data around the mean. In a business context, the sample variance and sample standard deviation can be used to determine the risk associated with a stock investment.
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The total simple interest on $1600 invested for five years is $224. What is the percentage rate per annum?
Answer:
The percentage rate per annum is 2.8%
Step-by-step explanation:
We need to multiply the principal by the time, then divide the interest by the product of P×T, so:
1,600 × 5 = 8,000
224 ÷ 8,000 = 0.028
Then we convert our final product to a percentage.
0.028 to a percent is 2.8%
Step-by-step explanation:
did u got the answer??.....
One sample t for means You want to know if the average customer rating fro your store is about a 7.0 on a 1-10 scale. Your collect a sample of 100 customers. Their average rating was 7.3, with a standard deviation of 2.0.
Given:
A sample of 100 customers.
The illustration below is an example of a semi-regular tessellation.
A. True
B. False
The illustration below is a semi-regular tessellation is a false statement.
What is Tessellation?Tessellation is defined as the process of covering of a surface or a plane using the geometric shapes.
One geometric shape will not overlap with the other and there will not be any gaps in between.
There are regular tessellations as well as semi-regular tessellations.
Regular tessellations are the tessellations which are made using only a single type of the polygon to cover the entire surface.
Whereas in semi-regular tessellations, two or more regular polygons are used such that each vertex is the same to cover the surface.
Here, the illustration contains only one type of polygon which are tiled to each other with out any gaps.
It is actually regular tessellation.
Hence the statement that the illustration is semi-regular tessellation is incorrect.
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Write the equation into Slope-Intercept form.
y - 2 = 5(x - 1)
Answer:
y=5x-3
Step-by-step explanation:
y - 2 = 5x - 5 (this is after you distributed)
y = 5x -3 ( this is adding two on both sides)
Step-by-step explanation:
Find the area of the shape shown below.
Answer:
The answer is 32
Step-by-step explanation:
The formula for finding the area of a trapezoid is:
((base 1 + base 2)/ 2 )* h
Now all you have to do is substitute the numbers in.
Note: bases will always be the ones like 12 and 4 in this case. We have just named then 1 and 2.
Answer:
32 square units
Step-by-step explanation:
\(\displaystyle A=\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(12+4)(4)=\frac{1}{2}(16)(4)=\frac{1}{2}(64)=32\)
Note that \(b_1\) and \(b_2\) are the lengths of each base of the trapezoid, so it doesn't matter which is which.
Which equation can be used to solve for b?
B
300
С c
А
A
8
b (
820)
tanloo
न
An image of lines p and q parallel to each other. Lines m and n are not parallel to each other. Line m, p form an angle of one hundred two degrees and an angle marked y. Lines n, q form an angle marked x and an angle of one hundred fifteen degrees.Parallel lines p and q are cut by two non-parallel lines, m and n, as shown in the figure. The value of x is degrees, and the value of y is degrees.
Answer:
Welcome to Gboard clipboard, any text that you copy will be saved here.Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.Tap on a clip to paste it in the text box.
if a and b are consecutive even integers, where aa) 2a+1
b)2a^2+2b
c)3a^2+3b^2
d)2a+3b^2
e)2a+3b
The formula that can be used to illustrate consecutive even numbers is a + 2.
How to illustrate the information?It should be noted that the information is incomplete. Therefore, an overview will be given.
It should be noted that consecutive even numbers we the numbers that follow each other and have a difference of 2.
Examples of such numbers include 2, 4, 6,8, 10, etc.
In this case, the formula that can be used to illustrate consecutive even numbers is a + 2.
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A circle has a radius that measures 11 centimetres. What is the diameter
Answer:
22 cm
Step-by-step explanation:
A radius is half of a diameter. 11 +11 = 22
Answer:
22 cm
Step-by-step explanation:
a radiys is half the diameter
6. As part of their employee benefits, all workers at Light and Power Electric Company
receive a pension that is calculated by multiplying the number of years worked
times 1.875% of the average of their three highest years' salaries. Mia has
worked for LPEC for 30 years and is retiring. Her highest salaries were
$92,000, $94,800, and $96,250. Calculate Mia's pension.
Answer:
$1769.06
Step-by-step explanation:
The sum of Mia's three highest salaries is ...
$92,000 +94,800 +96,250 = $283,050
so the average is ...
$283,050/3 = $94,350
Her pension is then ...
0.01875 × $94,350 = $1769.06
_____
Additional comment
This is equivalent to the total of those salaries, divided by 160.
T/3 × 0.01875 = T × (0.01875/3) = T × 0.00625 = T/160
Sometimes, there are simpler ways to calculate things like this.
Solve the system of equations using the substitution or elimination method.
y = 4x - 7
4x + 2y = -2
.
Show your work
Correct x and y
The solution to the system of equations is x = 1 and y = -3.
To solve the system of equations using the substitution or elimination method, let's start with the substitution method.
Given equations:
y = 4x - 7
4x + 2y = -2
We'll solve equation 1) for y and substitute it into equation 2):
Substituting y from equation 1) into equation 2):
4x + 2(4x - 7) = -2
4x + 8x - 14 = -2
12x - 14 = -2
Now, we'll solve this equation for x:
12x = -2 + 14
12x = 12
x = 12/12
x = 1
Now that we have the value of x, we can substitute it back into equation 1) to find y:
y = 4(1) - 7
y = 4 - 7
y = -3
Therefore, the solution to the system of equations is x = 1 and y = -3.
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How many commutes are exactly 68 minutes
Answer:
three
Step-by-step explanation:
stem. is the tens place and the leaf is the. ones place
so you want to find 68 so you look in the stem column and look for six
in the row there are 6 numbers which mean:
60, 61, 67, 68, 68, 68
as you can see there is three 68 there for the answer ths 3
What is the midpoint of AC on the grid below?
Answer: Coordinates of the point E of the middle AC (-1 ; 1 )
Step-by-step explanation:
The middle of AC can be calculated by the formula :\(\sf \displaystyle M=\left (\frac{x_1+x_2}{2} \ ; \ \frac{y_1+y_2}{2} \right ) =(x_m \ ; \ y _m )\) In our case :A(2 ; 4) ; C(-4 ; -2) Then :\(\sf \displaystyle M=\left (\frac{2+(-4)}{2} \ ; \ \frac{4-2}{2} \right ) =(-1 \ ; \ 1 )\) Coordinates of the point E of the middle AC (-1 ; 1 )what is the probability that the next person chosen will be in the 40-49 or 50-59 age groups
The probability that the next person chosen will be in the 40-49 or 50-59 age groups is 0.32
How to determine the probability?The frequency table is added as an attachment
From the attached image, we have:
40 - 49 or 50 - 59 = 6869 + 6323
40 - 49 or 50 - 59 = 13192
The probability that the next person chosen will be in the 40-49 or 50-59 age groups is then calculated as:
P = 13192/41557
Evaluate
P = 0.32
Hence, the probability that the next person chosen will be in the 40-49 or 50-59 age groups is 0.32
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Determine the validity of the converse and give a counterexample if the converse is not valid.
If it is sunny, then it is 80° Fahrenheit. The converse is valid.
If it is 80° Fahrenheit, then it is sunny. The converse is valid.
If it is not sunny, then it is not 80° Fahrenheit. The converse is invalid; a counterexample is a day that is not 80° Fahrenheit and not sunny.
If it is 80° Fahrenheit, then it is sunny; The converse is invalid; a counterexample is a day that is 80° and cloudy.
Your analysis is correct. Here's a summary:
If it is sunny, then it is 80° Fahrenheit. (Original statement)
Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)
If it is not sunny, then it is not 80° Fahrenheit. (Original statement)
Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)
Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)
Counterexample: A day that is 80° Fahrenheit and cloudy.
In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").
In the quadrilateral below, angles DAB and BCD are the same size. What is the size of angle DAB? A D 226° 38° B
The size of angle DAB in the quadrilateral is 48°.
How to find the size of angle DAB?The sum of the interior angles of a quadrilateral is 360°. We can say:
\(\angle \text{A} +\angle\text{B} + \angle\text{C} + \angle\text{D} = 360^\circ\)
\(\angle \text{A} +38^\circ + \angle\text{C} + 226^\circ = 360^\circ\)
\(\angle \text{A} + \angle\text{C} + 264^\circ = 360^\circ\)
\(\angle \text{A} + \angle\text{C} = 360^\circ- 264^\circ\)
\(\angle \text{A} + \angle\text{C} = 96\)
Since angles DAB and BCD are the same size. This implies ∠A = ∠C. Thus:
\(\angle\text{A} + \angle\text{A} = 96\)
\(2\angle\text{A} = 96\)
\(\angle\text{A} = \dfrac{96}{2}\)
\(\angle\text{A} = 48^\circ\)
Therefore, the size of angle DAB is 48°.
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The sum of two numbers is 217. The difference between them is 43. Find the two numbers.
Answer:
The numbers are 87 and 130
Step-by-step explanation:
Call the numbers x and y\(x+y=217\) [1]\(y-x=43\) [2]Rearrange [2] to make y the subject\(y=43+x\) [3]Substitute [3] into [1]\(x+(43+x)=217\)\(2x+43=217\)\(2x=174\)\(x=87\) [4]Use [4] for [2]\(y-87=43\)\(y=130\)The product of apositive number
and itself is 3 1/6what is the
number
"
number?
The product of positive number with itself found as 361/36.
What is termed as the square number?The result of multiplying an integer by itself is recognized as its square number.Square numbers always have the digits 0, 1, 4, 5, 6, and 9 at the end. For instance, 25, 49, 81, 100, and so on are perfect square numbers, whereas 37, 48, 22, and so on are not.A square number always has an even number of zeros at the end. This means that if a number ends with an odd number of zeros, it is not a square number.For the stated question;
The given number is 3 1/6, which is in mixed fraction.
Write the number in proper fraction.
3 1/6 = 19/6
Squaring the number means, multiplying the number with itself.
(19/6)² = (19/6) × (19/6)
(19/6)² = 361/36
Thus, the product of positive number itself found as 361/36.
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Someone please help me fast! here is screenshot algebra. QUICK PLSSS
Answer:
\(\displaystyle{f(x)=3^x-5}\)
Step-by-step explanation:
Being translated up-down means that the value exists outside of x. Therefore, we can cancel B and C choice since those are horizontal (left-right) translation.
Our only choice is A and D. However, D is being translated up since it's +5. Thus, the only correct answer that a function is being translated down is:
\(\displaystyle{f(x)=3^x-5}\)
or A choice.
What is (123
) ÷ (18
)?
Answer:
6.8333333333 or 41/6
Step-by-step explanation:
Which of the following is true about the relation shown below?
The relation is not a function, and its range is (-1,2,3,5).
The relation is a function, and its range is (-1, 2, 3, 5).
The relation is not a function, and the range is (-2,-1, 1, 3, 4).
The relation is a function, and the range is (-2,-1, 1, 3, 4).
Answer:
Last on is the answer!! (The relation is a function, and the range is (-2,-1, 1, 3, 4). Hope this helps:)
A classroom board is 36 inches wide and 24 inches tall. Cheryl
is putting ribbon along the outside edge of the board. How
many inches of ribbon will she need?
24 inches
36 inches
A 156 inches B 120 inches
C90 inches
D 60 inches
Answer:
option B
Step-by-step explanation:
The amount of ribbon needed is 120 inches
what is perimeter?The perimeter formula for a rectangle states that P = (L + W) × 2, where P represents perimeter, L represents length, and W represents width.
Given:
length = 24 inches
width = 36 inches
So, amount of ribbon needed
=2(36+ 24)
=2(60)
=120 inches
Hence, the amount of ribbon needed is 120 inches
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Which investment data is best modeled by an exponential function?
Answer:
Answer is C.
Step-by-step explanation:
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Exponential functions are functions that increases geometrically. The correct graph that model the investment is the Graph C
Exponential graphExponential functions are functions that increases geometrically. The standard exponential function is expressed as y = ab^x
The correct graph must represents a curve that increases steadily. From the given graph, the correct graph that model the investment is the Graph C
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1.5(x + 4) – 3 = 4.5(x – 2)?
Find g in the right triangle.
Answer:
34 degrees
Step-by-step explanation:
Before solving for g, we must remember that the inside of a triangle will always equal 180 degrees. Also, keep in mind that the little square at the top left corner of the triangle represents 90 degrees, so we can add both the existing degrees we know of:
90 + 56 = 146
And to find g, we simply subtract 180 by 146:
180 - 146 = 34
So, g is 34 degrees
Hope this helps :)
M^5n^2+mn^2+n^6Select all choices that apply.A) The degree of the polynomial is 5 B) The degree of the polynomial is 6C) The degree of the polynomial 7 D) The polynomial is a monomialE) The polynomial is a binomialF) The polynomial is a trinomial
For the given expression:
\(m^5n^2+mn^2+n^6\)Recall that a monomial is an algebraic expression that involves multiplications and exponentiations, and is separated from other monomials through a "+" or "-" sign. Then, the given expression has three monomials, which makes it a trinomial.
On the other hand, for polynomials in two or more variables, the degree is equal to the maximum degree among its terms, and the degree of a single term is the sum of the exponents of the variables in the term.
The first term has a degree of 7, the second term has a degree of 3 and the third term has a degree of 6. Then, the degree of the whole trinomial is 7.
Therefore, two options apply for the given expression:
\(\begin{gathered} C)\text{ The degree of the polynomial is 7} \\ F)\text{ The polynomial is a trinomial} \end{gathered}\)Identify the end behavior of the given functions.
Select the correct answer from each drop-down menu.
The function m (x) = 2 + 1 increases ▾ toward
4
The function n (x) = 10-2 + 5 decreases ▾ toward
The function p(x) = -e 2 decreases toward
▼
as x increases.
as x decreases.
as x decreases.
Answer:
Step-by-step explanation:
m(x) =2^x+1 increases / positive infinity
n(x) =10^x^-2+5 decreases / the line y=5
p(x) =-e^x-2 increases / the line y=-2
Given right triangle ABC, where side "c" is the hypotenuse, angle B measures 42 degrees, and side c measures 18 m, find the length of side b.
The length of side b of the given right angle triangle using law of sines is; b = 12.044 m
How to use the law of sines?The law of sines states that when we divide side "a" by the sine of angle A, it is equal to side "b" divided by the sine of angle B, and also equal to side "c" divided by the sine of angle C
Thus;
a/sin A = b/sin B = c/sinC
The parameters are;
B = 42°
c = 18m
Since c is the hypotenuse, it is the side that will be opposite the right angle and so;
C = 90°
Thus, using sine rule;
c/sinC = b/sin B
18/sin 90 = b/sin 42
b = (18 * sin 42)/1
b = 12.044 m
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if a shirt is 50$ and is on sale for 20% off how much wil you pay with 6% sales tax
Answer:
42.4 is the correct answer to this question