The percentage of data within 1 population standard deviation of the mean, to the nearest percent is; 71%
How to find the mean and standard deviation?The mean of a data sample is defined as the average of that data sample. The formula for the mean is;
μ= ∑x/n
Thus;
μ = (58 + 58 + 50 + 64 + 59 + 62 + 58)/7
μ = 409/7
μ = 58.429
The standard deviation is defined as a measure of how dispersed the data is in relation to the mean. It is gotten from the formula;
σ = √[Σ(xi - μ)²/N]
Solving this with a standard deviation calculator gives;
σ = 4.065
Thus, 1 standard deviation from the mean is;
58.429 ± 1(4.065)
= (54.364, 62.494)
The values that fall in this range from the given data set are;
58, 58, 59, 62, 58
They are 5 in number out of 7 and so the percentage = (5/7) * 100%
= 71.43%
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the product of 0.8 and a number is 12represent the statement as an equation determine the solution set using the replacement set 0 8 1 7 15
Answer:
The product of 0.8 and a number is 12, so the equation representing this statement is: 0.8 * x = 12.
To solve this equation, we need to find the value of x that makes the equation true. We can do this by using the replacement set {0, 8, 1, 7, 15}.
If we substitute 0 for x in the equation, we get: 0.8 * 0 = 12. This equation is not true, so 0 is not a solution.
If we substitute 8 for x in the equation, we get: 0.8 * 8 = 12. This equation is not true, so 8 is not a solution.
If we substitute 1 for x in the equation, we get: 0.8 * 1 = 12. This equation is not true, so 1 is not a solution.
If we substitute 7 for x in the equation, we get: 0.8 * 7 = 12. This equation is not true, so 7 is not a solution.
Finally, if we substitute 15 for x in the equation, we get: 0.8 * 15 = 12. This equation is true, so 15 is a solution.
Therefore, the solution set for this equation is {15}.
Answer: 0.8x=12
x=15
Step-by-step explanation:
0.8x=12
x=15
15*0.8=12
Find the value of x and snow work please .
Applying angle relationships, the value of x in each figure is determined as:
E. x = 8
F. x = 26
I. x = 9
J. x = 4
How to Apply Angle Relationship to Find the Value of x?Using angle relationship based on the angles involved, create an equation in each case, to enable you find the value of x.
E. 27 + 8x - 1 = 90 [the angle relationship is that they are complimentary angles].
Solve for the value of x:
26 + 8x = 90
8x = 90 - 26
8x = 64
x = 8
F. 7x - 44 = 75 + 63 [vertical angles are congruent]
7x = 182
7x/7 = 182/7
x = 26
I. 180 - (5x - 3 + 13x + 4) = 17 [vertical angles are congruent]
180 - (18x + 1) = 17
180 - 18x - 1 = 17
179 - 18x = 17
-18x = 17 - 179
-18x = -162
x = 9
J. 3y + 10 = 5y - 24 [vertical angles are congruent]
Solve for y
3y - 5y = -10 - 24
-2y = -34
y = 17
Find the value of x:
3y + 10 + 9x + 1 + 82 = 180 [angles on a straight line equals 180 degrees]
3y + 9x + 93 = 180
Plug in the value of y
3(17) + 9x + 93 = 180
51 + 9x + 93 = 180
9x + 144 = 180
9x = 180 - 144
9x = 36
x = 4
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What can you do to solve the equation x/5 = -2
Answer: x=-10
Step-by-step explanation:
Given that x/5=-2
multiply both sides of equation with 5
(x/5)*(5)=(-2)*(5)
x=-10
What is the value of 2cos2(105⁰) − 1? Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction Negative one-half One-half StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Answer: - sqrt3/2
Step-by-step explanation:
The expected annual returns are 15% for investment 1 and 12% for investment 2. The standard deviation of the first investment’s return is 10%; the second investment’s return has a standard deviation of 5%. Which investment is less risky based solely on standard deviation? Which investment is less risky based on coefficient of variation? Which is a better measure given that the expected returns of the two investments are not the same?
a) Investment B is less risky based solely on the standard deviation.
b) Based on the coefficient of variation, Investment B is less risky.
c) The better measure of expected returns of the two investments is the coefficient of variation.
What is the coefficient of variation?The coefficient of variation shows how spread out or variable the standard deviation is to population mean.
It is a ratio of the standard deviation compared to the population mean.
A higher coefficient of variation shows a greater dispersion or risk.
The formula for the coefficient of variation is given as follows:
Coefficient of Variation (CV) = (Standard Deviation/Mean) × 100.
Investments A B
Expected annual returns 15% 12%
Standard deviations 10% 5%
Coefficient of variation = Standard deviation ÷ Expected annual returns x 100
Investment A = 66.67% (0.10/0.15 x 100)
Investment B = 41.67% (0.05/0.12 x 100)
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Let f(x) = 5(3)x
The graph of f(x) is stretched vertically by a factor of 2 to form the graph of g(x).
Choose the equation of g(x).
Responses
g(x) = 10(3)xg(x) = 10(3)x
g(x) = 7(3)xg(x) = 7(3)x
g(x) = 2(3)xg(x) = 2(3)x
g(x) = 5(6)x
The required equation is g(x) = 10(3)x which is the correct answer would be an option (A).
The graph of g(x) is obtained by stretching the graph of f(x) vertically by a factor of 2.
Since the vertical stretch of a graph multiplies the y-coordinates of each point on the graph by a constant factor, the equation of g(x) must be obtained by multiplying the y-coordinate of each point on the graph of f(x) by 2.
In the given equation f(x) = 5(3)x, the y-coordinate of each point on the graph of f(x) is 5(3)x.
Thus, to stretch the graph of f(x) vertically by a factor of 2, we need to multiply this y-coordinate by 2 to get the y-coordinate of the corresponding point on the graph of g(x). This gives us the following equation for g(x):
⇒ g(x) = 2 × 5(3)x = 10(3)x
Therefore, the required equation is g(x) = 10(3)x.
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What is an equation with the formula of an Acute Angle?
An equation with the formula of an acute angle is a²+b²>c².
What is an acute angle triangle?Triangles can be categorised based on their sides and angles. According to the measurement of angles, a triangle is categorised as acute. A triangle is referred to as an acute triangle if all of its inner angles are smaller than 90°.
In an acute triangle, the following statement holds good for the length of the sides:
a²+b²>c²
b²+c²>a²
c²+a²>b²
Where a, b and c are the sides of a triangle.
Therefore, an equation with the formula of an acute angle is a²+b²>c².
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Type the correct answer in each box. Use numerals instead of words.
3^1/5
The expression above can also be written in the form (image because I can't type it).
For this expression,
a =
and b =
.
The value of a is 3.
The value of b is 5.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
[tex]3^{1/5}[/tex]
This expression can be written as 5 roots of 3.
[tex]\sqrt[5]{3}[/tex]
Thus,
The value of a and b from the expression [tex]3^{1/5}[/tex]are 3 and 5.
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If A = {x|x is an odd integer), B = {2, 3, 4, 5), list the elements of the set AUB.
Choose the correct answer below.
O A. {x x is an even integer or x = 2 or x = 4}
O B. {x|x is an even integer or x = 3 or x = 5}
OC. {x|x is an odd integer or x = 3 or x = 5}
OD. {xx is an odd integer or x = 2 or x = 4}
Answer:
D) {x: | x is an odd integer or x = 2 or x = 4}-----------------------------
Given two sets:
A = {x: | x is an odd integer}, B = {2, 3, 4, 5}Both sets include 3 and 5 so the combination is all the elements of the A and two unique elements of the B:
A∪B = {x: | x is an odd integer or x = 2 or x = 4}The matching choice is D.
Allen is showing his work in simplifying -8.3 + 9.2 - 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning. Write feedback to Allen explaining the mistake he made and how to correct his work.
Step Work Reasoning
−8.3 + 9.2 − 4.4 + 3.7 Original problem
1 −8.3 + 9.2 + 4.4 + 3.7 Additive inverse
2 −8.3 + 4.4 + 9.2 + 3.7 Commutative property
3 −8.3 + (4.4 + 9.2 + 3.7) Associative property
4 −8.3 + 17.3 Simplify
5 9 Simplify
The value of the expression -8.3 + 9.2 - 4.4 + 3.7 is 0.2.
What is Number system?A number system is defined as a system of writing to express numbers.
Allen is showing his work in simplifying -8.3 + 9.2 - 4.4 + 3.7.
The given expression is -8.3 + 9.2 - 4.4 + 3.7.
The additive inverse should be as below
8.3-9.2+4.4-3.7
It is the error of Allens work.
-8.3 + 9.2 - 4.4 + 3.7.
-8.3-4.4+9.2+3.7
-12.7+12.9
Apply commutative property
12.9-12.7
0.2
Hence, 0.2 is the value of the expression -8.3 + 9.2 - 4.4 + 3.7.
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Are the triangles similaeu, if so write how you know
Answer:
Triangles BAD and CED have angle D in common.
<D is congruent to itself, so <D of triangle BAD is congruent to <D of triangle CED. That is 1 pair of congruent angles.
<A is a right angle. <CED is a right angle.
Theorem: All right angles are congruent.
<A is congruent to <CED. That is a second pair of congruent angles.
By AA Similarity, triangles BAD and CED are similar.
Name three equivalent fractions to ⅔
Answer:
4/6, 6/9, 8/12, 10/15
Step-by-step explanation:
NO LINKS!! Help me with the 2-Column Proof Part 3aa
Here is the two column proof:
Statement Reason
RD bisects OS GivenA is the point of intersection Shown on the diagramOA ≅ AS Definition of a segment bisectorProved
Help plsssssssssssss
Answer: thanks for the ponts
Step-by-step explanation: ahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Which of the following numbers are irrational?
-4.8237, π/2, ³√/4, 4+√25
π/2 and ³√4
-4.8237 and 4+√25
-4.8237 and π/2
³√4 and 4+√25
The irrational numbers are option (A) π/2 and [tex]\sqrt[3]{4}[/tex]
The rational numbers are the numbers that can be expressed in the p/q form
The irrational numbers are the numbers that cannot be expressed in the p/q form.
The first number is -4.8237
This can be expressed in p/q form
It is a rational number
The second number is π/2
This cannot be expressed in p/q form
It is an irrational number
The third number is [tex]\sqrt[3]{4}[/tex]
We cannot express this in p/q form
It is an irrational number
The fourth number is 4 + [tex]\sqrt{25}[/tex]
Find the square root
4 + 5 = 9
This is a rational number
Therefore, the rational numbers are π/2 and [tex]\sqrt[3]{4}[/tex]
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The assets and liabilities of a local surf shop are listed below.
Building Mortgage $109,850
Other Debt $35,988
Accounts Receivable $10,760
Property Value $162,974
Long Term Investments $238,000
Small Business Loan $62,700
Long Term Liabilities $38,000
Owned Inventory $72,980
Cash $215,083
Savings Account $128,721
Owned Equipment $30,971
The surf shop owner receives notice that the property value has increased by $20,000. What is the net worth of the surf shop?
$859,489
$879,489
$612,951
$632,951
PLEASE HELP
Answer: $879,489
Step-by-step explanation:
When it comes to a business net worth is simple:
assets - liabilities = net worth.
Assets are an expenditure that has utility through multiple future accounting periods. For example, a company pays its electrical bill. This expenditure covers something (electricity) that only had utility during the billing period; therefore, it is recorded as an expense.
Conversely, the company buys a machine, that it expects to use for the next five years. Since this expenditure has utility through multiple future periods, it is recorded as an asset.
Cash, savings, inventory, investments, equipment, and receivables are also assets. Basically, anything that is owned and could be liquidated for cash.
Accounts Receivable $10,760Property Value $162,974Long-Term Investments $238,000Owned Inventory $72,980Cash $215,083Savings $128,721Owned Equipment $30,971In simple terms a liability is something that is owed to someone else:
Building Mortgage $109,850Other Debt $35,988Small Business Loan $62,700Long-Term Liabilities $38,000A factory made 3 jars of creamy peanut butter and 97 jars of chunky peanut butter. What percentage of the jars of peanut butter were creamy?
Answer:
3%
Step-by-step explanation:
They made 97+3 total jars, 3 out of 100 is 3 percent.
solve this
6/7 × 1/2 = ?
Answer:
To solve this problem, we need to first perform the multiplication. In mathematics, multiplication is performed before division, so we should calculate the product of 6/7 and 1/2 before dividing it by any other number. To find the product, we simply multiply the numerators together to get 6 and the denominators together to get 14. So the product of 6/7 and 1/2 is 6/14.
Step-by-step explanation:
Evaluate and match each expression on the left to its value on the right, when x = 6 and y = 5.
12 + x
3x + y
4y - 10
xy
10
15
18
23
Answer:
Step-by-step explanation:
The values of the expressions 12 + x is 18, 3x + y is 21, 4y - 10 is 14,
xy is 30.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Finding the value of given expression when x = 6 and y = 5 is simply replacing x and y with their numeric values.
Given,
12 + x.
= 12 + 6.
= 18.
3x + y.
= 3(5) + 6.
= 15 + 6.
= 21.
4y - 10.
= 4(6) - 10.
= 24 - 10.
= 14.
xy.
= (5)(6).
= 30.
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Which expression is equivalent to 2 (x -2 ) -5 (2x -3)
A: 2x - 4 - 10x - 15
B: 2x - 4 - 10x + 15
C: 2x - 2 - 10x - 3
D: 2x - 2 - 10x +15
The expression equivalent to the given expression 2(x -2)-5(2x -3) is
(2x-4-10x+15)
What is an expression?An expression in maths, a sentence with a minimum of two numbers or variables and at least one maths operation.
Given is an expression, 2(x -2)-5(2x -3)
Using distributive property,
a(b+c) = ab+bc
2(x -2)-5(2x -3) = 2x-4-10x+15
Hence, The expression equivalent to the given expression 2(x -2)-5(2x -3) is (2x-4-10x+15)
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2 people paint at the rate of 45 m² per hour to finish painting the
house on schedule.
At what rate would 6 people have to paint at, in m², to finish exactly
on schedule?
The rate at which 6 people will paint the house will be 135 [tex]m^{2}[/tex] per hour
What is Unitary Method ?The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.
According to the Given information
Applying Unitary Method
House painted by 2 people at the rate = 45 [tex]m^{2}[/tex] per hour
House painted by one person at the rate = [tex]\frac{45}{2}[/tex] [tex]m^{2}[/tex] per hour
House painted by 6 people at the rate = [tex]\frac{45}{2}[/tex]× 6 [tex]m^{2}[/tex] per hour
= 135 [tex]m^{2}[/tex] per hour
Hence
The rate at which 6 people will paint the house will be 135 [tex]m^{2}[/tex] per hour
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Cassidy has 10 feet of thread. She wants to cut the thread into 1 1/6 foot pieces to make necklaces. How many full necklaces can Cassidy make? 
Answer:8
Step-by-step explanation: 10/ 1 1/6 so the equals to 8 4/7 but the problems says whole necklaces to the answer is 8
The y-intercept of the line y=-4 x-7 is
a. -7
c. 4
b. -4
d. 7
B
A
D
C
The y-intercept of a line is where it meets the y-axis.
This y-axis occurs at x = 0.
Simply input x = 0 into the line y = -4x - 7
y = -4(0) - 7
y = -7
y - intercept (we also like to abbreviate that y-int) = -7
Hope this helps :)
If you need any more explanation, feel free to ask. If this really helps, consider marking brainliest.
- Jeron
Answer: -7
Step-by-step explanation:
Since the answer is already in slope intercept form x=-4 and y = -7
Simplify.
√3/√8
Responses
√6/8
√6/4
√3/4
√24/8
Answer:
1/8
Step-by-step explanation:
To simplify the expression √3/√8, we can first simplify the square root terms by finding the prime factorization of each number under the square root. The prime factorization of 3 is 3, and the prime factorization of 8 is 2 * 2 * 2.
We can then rewrite the square root terms as follows:
√3/√8 = √(3) / √(2 * 2 * 2)
Next, we can use the property of square roots that says that the square root of a number is equal to the square root of each of its prime factors. This means that we can rewrite the square root term as follows:
√(3) / √(2 * 2 * 2) = √(3) / √(2) / √(2) / √(2)
Since the square root of a number is the same as the number itself, we can simplify the expression further by removing the square root symbols from the prime numbers 2:
√(3) / √(2) / √(2) / √(2) = √(3) / 2 / 2 / 2
Finally, we can use the rules of division to simplify the expression even further:
√(3) / 2 / 2 / 2 = √(3) / (2 * 2 * 2)
Since any number divided by itself is equal to 1, we can simplify the expression one last time to get our final answer:
√(3) / (2 * 2 * 2) = 1/2 * 1/2 * 1/2 = 1/8
Therefore, the simplified form of the expression √3/√8 is 1/8.
Answer: 6/4
Step-by-step explanation:
Pull terms out from under the radical.
3
(
8
√
8
)
Multiply
8
by
3
.
3
√
8
The result can be shown in multiple forms.
Exact Form:
6
√
4
Decimal Form:
0.61237243....
Zachary purchased a computer for $1100 on a payment plan. three months after he purchased the computer, his balance was $710. four months after he purchased the computer, his balance was $580. What is an equation that models the balance y after x months?
Answer:
y = 1,100 - 130x
Step-by-step explanation:
Zachary purchased a computer for $1100 on a payment plan. three months after he purchased the computer, his balance was $710. four months after he purchased the computer, his balance was $580. What is an equation that models the balance y after x months?
(1,100 - 710)/3 = he pays $130 per month
(1,100 - 580)/4 = he pays $130 per month
when balance = y and x = months
y = 1,100 - 130x
In the scale used on a blueprint, inch represents 2 feet. On the blueprint what is the length of a room with an actual length of 20 feet?
On the blueprint what is the length of a room is 5square inch.
What is square?
A square is a quadrilateral because it has four equally sized sides. Our immediate surroundings is filled with many square-shaped things. Equal sides and interior angles of 90 degrees help you identify each square form. A closed form known as a square has four equal sides and two interior angles that are both 90 degrees. A square has a wide range of characteristics.
Given the square bedroom have 3 feet side
The area of the bedroom is = 3² = 9 sq inch
1 inch = 2 feet
1 square inch = 4 square feet
20 square feet = 5square inch
Hence, On the blueprint what is the length of a room 5square inch.
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18. Which of the following is an equation of the line parallel to y = 5x+8 that passes through the point
(4, -3)?
Answer:
y=5x-23
Step-by-step explanation:
y=mx+b is the slope intercept form
m is slope
And b is y intercept
We know the line will have a slope of 5 since they are parallel both lines will have the same slope
y=5x+b
To find b we put in the given coordinates (4,-3)
-3=5(4)+b
-3=20+b
-20 -20
-23=b
Now we just plug in b
y=5x-23
Hopes this helps
You have some property that has an assessed value of $74,000. If the tax rate is $7.79 per $100 of assessed value, calculate the tax due.
Find percent tax.
7.79/100 * 100
7.79 percent.
Take 7.79 percent of 74,000.
0.0779 * 74,000 = 5764.6
Which values of m
b and b will create a system of equations with no solution? Select two options.
y = mx + b
y=-2x+3/2
Answer:
m = -2; b can be any number other than 3/2
Step-by-step explanation:
There is no solution when the lines are parallel.
To have parallel lines you need equal slopes and different y-intercepts.
Answer: m = -2; b can be any number other than 3/2
Read the following statement: All real numbers have a reciprocal. Which of the following choices is a counterexample to the statement?
0
1
-7
1/4
Reciprocal of zero is undefined. So all the real numbers do not have the
reciprocal.
What is a reciprocal?The definition of reciprocal in mathematics is the inverse of a value or a number. If n is a real number, then 1/n will be n's reciprocal.
We have the statement,
''All real numbers have a reciprocal''.
To find a counterexample:
The reciprocal of the number zero will always have the value "undefined".
Since there is no number that, when multiplied by zero, produces the result 1.
If n is a real number, then 1/n will be n's reciprocal.
n = 1,
So, the reciprocal of 1 is 1/1 = 1.
n = -7,
So, the reciprocal of -7 is 1/-7= -1/7.
And n = 1/4
So, the reciprocal of 1/4 is 1/(1/4)= 4/1 = 4.
Hence, reciprocal of zero gives us to disprove the statement.
Therefore, All real numbers have the reciprocal, except zero.
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