Find the a. MEAN and b. STANDARD DEVIATION for the data set. Round to two decimal places.
10) Country Number of Television Sets per 100 people
A 124
B 94
C 129
D 109
E 114
A) a. 115
b. 13.69
B)
a. 114
b. 13.69
C)
a. 114
b. 169
D) a. 113
b. 13.69
Provide an appropriate response.
11) If an adult male is told that his height is within 2 standard deviations of the mean of the normal distribution of heights of adult males, what can he assume?
A) His height measurement is in the same range as about 99.7% of the other adult males whose heights were measured.
B) His height measurement is in the same range as about 95% of the other adult males whose heights were measured.
C) He is taller than about 99.7% of the other men whose heights were measured.
D) He is taller than about 95% of the other men whose heights were measured. The scores on a driver's test are normally distributed with a mean of 100. Find the score that is:_____
12) Find the score that is 2 standard deviations below the mean, if the standard deviation is 26.
A) 126
B) 48
C) 152
D) 74
Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid:____
13) between $147,700 and $152,300 if the standard deviation is $2300.
A) 34%
B) 95%
C) 99.7%
D) 68%
14) more than $154,800 if the standard deviation is $2400.
A) 95%
B) 2.5%
C) 47.5%
D) 97.5%
A set of data items is normally distributed with a mean of 60. Convert the data item to a z-score, if the standard deviation is as given. 15) data item: 100; standard deviation:_____
a) 10
b) 40
c) 10
d) 4/3
Answers
Answer:
Explained below.
Step-by-step explanation:
(10)
The data set is:
S = {124, 94, 129, 109, 114}
The mean and standard deviation are:
\(\bar x=\frac{1}{n}\sum x=\frac{1}{5}\times [124+94+...+114]=114\\\\s=\sqrt{\frac{1}{n-1}\sum ( x-\bar x)^{2}}\)
\(=\sqrt{\frac{1}{5-1}\times [(124-114)^{2}+(94-114)^{2}+...+(114-114)^{2}]}\\=\sqrt{\frac{750}{4}}\\=13.6931\\\approx 13.69\)
The correct option is B.
(11)
According to the Empirical 95% of the data for a Normal distribution are within 2 standard deviations of the mean.
So, the adult male's height is in the same range as about 95% of the other adult males whose heights were measured.
The correct option is B.
(12)
Let the score be X.
Given:
μ = 100
σ = 26
\(X=\mu-2\sigma\)
\(=100-(2\times 26)\\=100-52\\=48\)
The correct option is B.
(13)
Let X be the prices of a certain model of new homes.
Given: \(X\sim N(150000, 2300^{2})\)
Compute the percentage of buyers who paid between $147,700 and $152,300 as follows:
\(P(147700<X<152300)=P(\frac{147700-150000}{2300}<\frac{X-\mu}{\sigma}<\frac{152300-150000}{2300})\)
\(=P(-1<Z<1)\\=0.68\\\)
According to the 68-95-99.7, 68% of the data for a Normal distribution are within 1 standard deviations of the mean.
The correct option is D.
(14)
Compute the percentage of buyers who paid more than $154,800 as follows:
\(P(X>154800)=P(\frac{X-\mu}{\sigma}>\frac{154800-150000}{2400})\)
\(=P(Z>2)\\=0.975\\\)
According to the 68-95-99.7, 95% of the data for a Normal distribution are within 2 standard deviations of the mean. Then the percentage of data above 2 standard deviations of the mean will be 97.5% and below 2 standard deviations of the mean will be 2.5%.
The correct option is D.
(15)
The z-score is given as follows:
\(z=\frac{x-\mu}{\sigma}\)
Related Questions
Keller Construction is considering two new investments. Project E calls for the purchase of earthmoving equipment. Project H represents an investment in a hydraulic lift. Keller wishes to use a net present value profile in comparing the projects. The investment and cash flow patterns are as follows: Use Appendix B for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Answers
Based on the net present value profile, Project H has a higher NPV than Project E.
To compare the net present value (NPV) of Project E and Project H, we need to calculate the present value of cash flows for each project and determine which one has a higher NPV. The cash flow patterns for the two projects are as follows:
Project E:
Initial investment: -$100,000
Cash flows for Year 1: $40,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $60,000
Project H:
Initial investment: -$120,000
Cash flows for Year 1: $60,000
Cash flows for Year 2: $50,000
Cash flows for Year 3: $40,000
To calculate the present value of cash flows, we need to discount them using an appropriate discount rate. The discount rate represents the required rate of return or the cost of capital for the company. Let's assume a discount rate of 10%.
Using the formula method, we can calculate the present value (PV) of each cash flow and sum them up to obtain the NPV for each project:
For Project E:
PV = $40,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $60,000/(1 + 0.10)^3
PV = $36,363.64 + $41,322.31 + $45,454.55
PV = $123,140.50
For Project H:
PV = $60,000/(1 + 0.10)^1 + $50,000/(1 + 0.10)^2 + $40,000/(1 + 0.10)^3
PV = $54,545.45 + $41,322.31 + $30,251.14
PV = $126,118.90
Using the financial calculator method, we can input the cash flows and the discount rate to calculate the NPV directly. By entering the cash flows for each project and the discount rate of 10%, we find that the NPV for Project E is approximately $123,140.50 and the NPV for Project H is approximately $126,118.90.
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determine the volume in ml of the cooler bag if the breath of the bag is 12 cm and the length is 18 cm
Answers
Given the breadth of the bag is 12 cm and the length is 18 cm, and the assumed height is 6cm, the volume of the cooler bag is 1296 ml.
What is the volume of the cooler bag?The volume of the cooler bag is determined using the formula;
Volume = length * breadth * height
Data given:
breadth = 12 cm
length = 18 cm
height = ?
The height is not given, therefore, an assumed height of 6 cm is used in the calculation.
Converting the measurements to millimeters:
Breadth = 12 cm * 10 mm/cm = 120 mm
Length = 18 cm * 10 mm/cm = 180 mm
Height = 6 cm * 10 mm/cm = 60 mm
Now, we calculate the volume of the cooler bag:
Volume = 180 mm * 120 mm * 60 mm
Volume = 1,296,000 mm³
To convert the volume from cubic millimeters to milliliters, we divide by 1,000
Volume = 1,296,000 mm³ / 1,000
Volume of cooler bag = 1296 ml
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Which expression is equivalent to 2−35,? Choose 1 answer:
Answers
Answer:
The answer is option A.
Step-by-step explanation:
2 - 35 can be written as 2 + (-35) since in 2+( -35) when the bracket is removed it becomes 2 - 35.
Hope this helps
Answer:
Your correct answer is option a. 2 + (-35)
Step-by-step explanation:
When you are finding which equation is equivalent to the one you have, the best thing to find is what your equation's answer is.
Which of the following can \(\frac{sin^2x}{1+cosx}\) be simplified to? (2 points)
cos θ
1 + cos θ
1 − cos θ
sin θ + tan θ
Answers
The expression sin²x/(1+cosx) can be simplified to 1-cosθ
How to determine which of the expression sin²x/(1+cosx) can be simplified to?Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.
Recall that sin²x = 1 - cos²x. Thus, we have:
sin²x/(1+cosx) = (1-cos²x) / (1+cosx)
= (1²-cos²x) / (1+cosx)
= (1+cosx)(1-cosx) / (1+cosx)
= 1-cosx
= 1-cosθ (If x = θ)
Note: Using difference of two squares, 1²-cos²x = (1+cosx)(1-cosx)
Therefore, the expression sin²x/(1+cosx) can be simplified to 1-cosθ
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1 +
+ '2+3+ - + = no +1
그
Answers
Answer:
t = 1/2n-6, nER
Step-by-step explanation:
Giving the rest of my points for this
The line given by the equation
y = (-2/5)x + 2
is graphed above. If the slope of the line is decreased by 1, how is the graph of the line affected?
A.
The line will rise faster as you move from left to right.
B.
The line will fall faster as you move from left to right.
C.
The line will rise slower as you move from left to right.
D.
The line will fall slower as you move from left to right.
Answers
Answer:
B. The line will fall faster as you move from left to right.
Step-by-step explanation:
As slope is decreased by 1, its shall fall much more quickly. The green line labels the line \(y = (-\frac{2}{5} x)+2\) and red labels the line \(y = (-\frac{2}{5} x-x)+2\)
As the slope is decreased, the line will fall much more steeply.
Answer:
B. The line will fall faster as you move from left to right.
Step-by-step explanation:
As slope is decreased by 1, its shall fall much more quickly. The green line labels the line \(y = (-\frac{2}{5} x)+2\) and red labels the line \(y = (-\frac{2}{5} x-x)+2\)
As the slope is decreased, the line will fall much more steeply.
3/8 + 2/3 as a mixed number
Answers
We can convert 3/8 to have a denominator of 24 by multiplying the numerator and denominator by 3:
3/8 = (3 x 3) / (8 x 3) = 9/24
We can convert 2/3 to have a denominator of 24 by multiplying the numerator and denominator by 8:
2/3 = (2 x 8) / (3 x 8) = 16/24
Now we can add the two fractions:
9/24 + 16/24 = 25/24
So the sum of the fractions is 25/24.
To convert this improper fraction to a mixed number, we need to divide the numerator by the denominator:
25 ÷ 24 = 1 with a remainder of 1
The whole number is 1 and the remainder is 1 out of 24. So the mixed number is:
1 1/24
Therefore, 3/8 + 2/3 as a mixed number is 1 1/24.
need help asap please
Answers
Ali's strategy is essentially the same as Mary's strategy. Both strategies estimate the HST as 15% of the price. However, Mary's strategy involves taking half of 10% of the price.
How to explain the strategies usedMary suggests estimating the HST in Ontario as finding 10% of the price, taking half of this answer and adding the two. Ali proposes finding 10% of the price, then 5% of the price and adding the two answers.
Their strategies differ in the way they approach finding the estimate, but both methods can be used to arrive at the same result.
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The HST in Ontario is 13%, which can be estimated using 15%. Mary tells Ali that it can be estimated as: find 10% of the price, take a half of this answer and add the two. Ali tells Mary that he thinks they should find 10% of the price, then 5% of the price and add the two answers. Compare their strategies.
What value equivalents to 5 7/8
Answers
Eight more than the number of children is 24.
Answers
Answer:
c+8 = 24
16 children
Step-by-step explanation:
Let c = number of children
8 more than
c+8
is means equals
c+8 = 24
Subtract 8 from each side
c+8-8 = 24-8
c = 16
Give the POINT SLOPE equation of the line
that contains:
f(-1) = -7 and f(3) = -6.
Answers
This is one way we can represent a linear equation:
\(y-y_1=m(x-x_1)\)
\((x_1,y_1)\) is a point that falls on the line\(m\) is the slopeSolving the QuestionWe're given:
Line contains \(f(-1) = -7\) and \(f(3) = -6\)These functions give us information on two points, as they are represented as \(f(x)=y\):
\(f(-1) = -7\) ⇒ (-1, -7)\(f(3) = -6\) ⇒ (3,-6)First, solve for the slope:
\(m=\dfrac{y_2-y_1}{x_2-x_1}\)
⇒ Plug in the two points:
\(m=\dfrac{-6-(-7)}{3-(-1)}\\\\m=\dfrac{-6+7}{3+1}\\\\m=\dfrac{1}{4}\)
⇒ Plug this into \(y_2-y_1=m(x_2-x_1)\):
\(y-y_1=\dfrac{1}{4}(x-x_1)\)
Now, there are two ways we can write this equation, as we are given two points:
(-1, -7)
⇒ \(y-(-7)=\dfrac{1}{4}(x-(-1))\\y+7=\dfrac{1}{4}(x+1)\)
(3,-6)
⇒ \(y-(-6)=\dfrac{1}{4}(x-(3))\\y+6=\dfrac{1}{4}(x-3)\)
Answer\(y+7=\dfrac{1}{4}(x+1)\) or \(y+6=\dfrac{1}{4}(x-3)\)
Which best describes the composition of tranformations that maps ∆LMN to ∆L'M'N'. 0,0 is the center of the dilation in each choice.
A. a reflection over the line y=3 followed by a dilation of scale factor 2
B. a dilation of scale factor 2 followed by a dilation of scale factor 12
C. a dilation of scale factor 12 followed by a translation left 1 down 3
D. a dilation of scale factor 2 followed by a translation right 1 up 3
Answers
Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformations are reflection, translation, rotation and dilation.
Rigid transformation preserves the shape and size of the figure. Reflection, translation, rotation are rigid transformations.
Triangle LMN was dilated by a scale factor of 2 followed by a translation 1 unit right and 3 unit up to form triangle L'M'N'
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Evaluate ab + c for a = 2, b = 3, and c = 4. 10 27 9
Answers
(2)*(3) + 4 ;
Using BODMAS
We get
6 + 4
= 10
Pls helpppp thankssss
Answers
Answer:
D
Step-by-step explanation:
y=5x-2 since the formula is. y=mx+c
choose the model for the problem 1/3 divided by 2
Answers
Answer: the answer to 1/3 divided by 2 in fraction form is 1/3 decimal form 0.1667
Answer:
1/3
Step-by-step explanation:
please help need help asap!!
Answers
5v = 6 + 9
v = (6 + 9) / 5
v = 3
8v + 7 = 8 (3) + 7 = 31
please hurry. 1. Calculate the grade point average: An A is considered 4.0, a B is 3.0, a C is 2.0, a D is 1.0, and an F is 0. If you received the following grades, what would be your grade point average? Round your answer to the hundredths place. Please show me how you got ur answer step by step
Course Credits Grade
Sociology 3.0 A
Calculus 4.0. F
New Student Seminar 1.0 C
Physics. 5.0. A
Answers
Answer:
b
Step-by-step explanation:
Triangles WILL GIVE BRAINLIEST
Answers
Answer:
A
Step-by-step explanation:
A
Answer:
Q9 - Option 1---- A - 15.6 Square Units
Q10 --Option --- (B) RECTANGLE
Step-by-step explanation:
Q9 --
Analyze:we know area of triangle = 1/2 ab sin theta
Where theta is the angle included between sides A and side B
Calculate:A = 5.2
B = 7
theta = 121 degrees
Area:1/2 * 5.2 * 7 * sin 121 degrees = 15.6 Square Units
Conclusion
The area of the triangle is 15.6 Square Units
Q10 - The cross-section of a right cylinder which is perpendicular to its base is a RECTANGLEOption --- (B) RECTANGLE
Hope this helps!
Hewo
My question:
1/2÷4 but if you could! draw a model plsss
Answers
Answer:
0.125
Step-by-step explanation:
So since we have 1/2 we will convert that to half of a pie... (the half circle)
We need to divide by four so we take that half of a pie and slice it into four parts... each part is now equivalent to our answer...
Equation... (as follows)
0.50 / 4 = 0.125
to check our work 0.125 x 4 = 0.50...
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
Jennifer needs to purchase a computer for her company. The price of the computer is c dollars, and sales tax is 9%. Select all the expressions that represent the total amount she will pay.
Answers
Answer:
c(.09)=t
Step-by-step explanation:
let C = the amount of the computer times .09 (sales tax) , t will represent the
the total amount of a computer
hope that helps a bit
Answer:
c
Step-by-step explanation:
steps of 17/3 - 3/4x = 1/2x + 5
Answers
Answer:
Step-by-step explanation:
12(17/3 - 3/4x = 1/2x + 5)
68 - 9x = 6x + 60
-15x = -8
x = 8/15
Determine the equation (picture).
Answers
The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
How to find equation of a line?The equation of a line can be describe as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, lines that a perpendicular follows the rule below:
m₁m₂ = -1
Hence,
y + 6 = 3 / 4 (x - 2)
y + 6 = 3 / 4 x - 6 / 4
y = 3 / 4 x - 6 / 4 - 6
y = 3 / 4 x - 30 / 4
y = 3 / 4 x - 15 / 2
Hence,
3 / 4 m₂ = -1
m₂ = - 4 / 3
Therefore,
slope of the line is - 4 / 3
Let's find the y-intercept of the second line
4x + 5y -20 = 0
5y = -4x + 20
y = -4 / 5 x + 4
y-intercept = 4
Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.
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⚠️❗️⚠️❗️⚠️❗️25 POINTS PLEASE HELP ME FIND THE AREA⚠️❗️⚠️⚠️❗️⚠️❗️
Trolls will be reported
Answers
Answer:
178
Step-by-step explanation:
area of big rectangle : 143
area of small rectangle:20
area of triangle : 15
143+20+15= 178
subtract 6066 from 294
Answers
Answer:
-5772
Step-by-step explanation:
294-6066=-5772
Answer:
The answer would be 2,772
Step-by-step explanation:
6,066 - 294 = 2,272
I hope that helps!!:)
Somebody help me asap please giving brainliest
Answers
Answer:
540 inches equals 45 feet and 15 yards (E,D,F)
Step-by-step explanation:
18 feet = 216 inches
= 18 feet
= 6 yards
10 feet = 120 inches
= 10 feet
= 3.333 (repeating) yards
540 inches = 540 inches
= 45 feet
= 15 yards
what is the property of 3x(5x7)=(3x5)7
Answers
The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.
In the equation you provided: 3x(5x7) = (3x5)7
The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.
Sarah needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 4.25 hours and charged her $54 for parts. The total was $585.25. Write and solve an equation which can be used to determine xx, the cost of the labor per hour.
Answers
The cost of labor per hour is $125.
What is the cost of labor per hour?The equation that can be used to solve for the cost of labor per hour is a linear equation. A linear equation is an equation that has a single variable that is raised to the power of one.
The form of the linear equation is:
Total cost = cost of the parts + (cost per hour x total hours worked)
$585.25 = $54 + (4.25 x d)
$585.25 = $54 + 4.25d
In order to determine the value of x, take the following steps:
Combine similar terms:
$585.25 - $54 = 4.25d
Add similar terms
$531.25 = 4.25d
Divide both sides of the equation by 4.24
d = 531.25 / 4.25
d = 125
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20. There is a number x sum that x2 is irrational but x is rational. Then x can be
(a) √5102.0 (£)
(b) √2
(c) 3/2
(d) 4/5
Answers
The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)
To explain further, we need to understand the properties of rational and irrational numbers.
A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.
In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.
Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.
Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.
Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.
In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)
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Use the quadratic formula to solve -125x^2+30000x-153000
Answers
(-b±√(b²-4ac))/(2a)
Answer:
x=120±6434−−−√
x=−4.996
x=244.996
Find the Solution for
−125x2+30000x+153000=0
using the Quadratic Formula where
a = -125, b = 30000, and c = 153000
x=−b±b2−4ac−−−−−−−√2a
x=−30000±300002−4(−125)(153000)−−−−−−−−−−−−−−−−−−−−−√2(−125)
x=−30000±900000000−−76500000−−−−−−−−−−−−−−−−−−−√−250
x=−30000±976500000−−−−−−−−√−250
The discriminant b2−4ac>0
so, there are two real roots.
Simplify the Radical:
x=−30000±1500434−−−√−250
x=−30000−250±1500434−−−√−250
Simplify fractions and/or signs:
x=120±6434−−−√
which becomes
x=−4.996
x=244.996
Please help I will give brainiest
Answers
Answer:
The answer is 16/25
Step-by-step explanation:
it would be 12 because it has 4 more marbles then other one's
Answer:
10 times
Step-by-step explanation:
25*(16/(16+12+12)) = 25*(16/40) = 10