The mean height of players in a basketball competition
is 184 cm. If the standard deviation is 5cm, what
percentage of them are likely to be:
a) Taller than 189 cm
b) Taller than 179 cm
c) Between 174 cm and 199 cm
Question 3
d) Over 199 cm tall
Answers
The percentage of players that are taller than 189 cm is 31.3%, the percentage of players that are taller than 179 cm is 68.2%, the percentage of players that are between 174 cm and 199 cm is 95.4% and the percentage of players that are over 199 cm tall is 0.3%.
What is standard deviation?Standard deviation is a measure of the spread of values in a data set. It is the square root of the variance and is represented by the Greek letter sigma. It is calculated as the average of the difference between each data point and the mean of the data set.
The mean height of players in a basketball competition is 184 cm and the standard deviation is 5 cm.
For question a), the percentage of players that are taller than 189 cm is 31.3%. This is calculated by subtracting the mean (184 cm) from 189 cm and dividing by the standard deviation (5 cm). The result is 3.2 standard deviations which is 31.3% of the players.
For question b), the percentage of players that are taller than 179 cm is 68.2%. This is calculated by subtracting the mean (184 cm) from 179 cm and dividing by the standard deviation (5 cm). The result is -1.2 standard deviations which is 68.2% of the players.
For question c), the percentage of players that are between 174 cm and 199 cm is 95.4%. This is calculated by subtracting the mean (184 cm) from 174 cm and dividing by the standard deviation (5 cm). The result is -3.2 standard deviations. Then, subtracting the mean (184 cm) from 199 cm and dividing by the standard deviation (5 cm) gives a result of 3.2 standard deviations. The total range is 6.4 standard deviations which is 95.4% of the players.
For question d), the percentage of players that are over 199 cm tall is 0.3%. This is calculated by subtracting the mean (184 cm) from 199 cm and dividing by the standard deviation (5 cm). The result is 3.2 standard deviations which is 0.3% of the players.
For more questions related to mean
https://brainly.com/question/26941429
#SPJ1
Related Questions
Solve the inequality for y
-12/11y>-8
Answers
Answer:
y < 22/3
Step-by-step explanation:
-12/11y > -8
Multiply both sides by -11/12
y < 22/3
So, the answer is y < 22/3
Julian wrote this number pattern on the board:
3,10,17,24,31,38
Wich of the numbers in Julian's pattern
are composits numbers.
Answers
The composite numbers in Julian's pattern of 3, 10, 17, 24, 31, and 38 are 10, 24, and 38.
A composite number is a positive integer greater than 1 that has more than two factors. In other words, it's a number that is not prime.
To determine whether each number in Julian's pattern is composite or not, we need to check whether it has factors other than 1 and itself.
Starting with the first number in the pattern, 3, we can see that it is a prime number because it is only divisible by 1 and 3.
For the second number, 10, we can check whether it is divisible by any integer between 2 and 10 (excluding 1 and 10). We find that it is divisible by 2 and 5, so it is composite.
Similarly, we can check the rest of the numbers in the pattern:
17 is a prime number because it is only divisible by 1 and 17.
24 is divisible by 2, 3, 4, 6, 8, and 12, so it is composite.
31 is a prime number because it is only divisible by 1 and 31.
38 is divisible by 2, 19, and 38, so it is composite.
Therefore, the composite numbers in Julian's pattern are 10, 24, and 38.
To learn more about composite number please click on below link
https://brainly.com/question/28199758
#SPJ1
Find the median and mean of the data set below: 14, 31, 17, 28, 25, 44
Answers
Answer:
To find the median of the data set, we need to arrange the data in order from smallest to largest:
[tex]14, 17, 25, 28, 31, 44[/tex]
The median is the middle value. In this case, the middle value is the average of the two middle values (25 and 28). Therefore, the median is:
[tex]\text{Median} = (25 + 28) \div 2 = 26.5[/tex]
To find the mean of the data set, we add up all the values and divide by the number of values:
[tex]\text{Mean} = (14 + 31 + 17 + 28 + 25 + 44) \div 6 = 24.83[/tex] (rounded to two decimal places)
Therefore, the median of the data set is 26.5 and the mean is 24.83.
Several factors are considered by lenders when reviewing credit applications. One item is a FICO score which ranges in point value from 300 to 850. While your FICO score is only one component in the decision making process, a score of mid seven hundred and higher is typically deemed as 'A' credit and can gleam the best interest rate offered at the time. The below chart shows a partial listing and the associated approximations of the percentages of the US population that fell into the given ranges of FICO scores in recent years.
Question content area bottom
Part 1
Population in %
Credit score range
Rating
13
800 - 850
Excellent
27
750 - 799
Above Average
18
700 - 749
Average
15
650 - 699
Below Average
12
600 - 649
Poor
Data correlated from over 70,000 consumers pointed to an average FICO credit score of 664 at the time that the above chart was calculated.
Source: My FICO. Sept 2013. Retrieved from www.MyFICO.com.
According to the above chart, how many points must be realized to increase the cited data average FICO credit score to an excellent rating?
A.
36
B.
136
C.
64
Answers
Therefore , the solution of the given problem of average comes out to be Response: B. 161.
Explain average.The exact value that constitutes the mean of an organised collection is its median value. The ratio between lowest and greatest 50% of the dataset in this situation is not a typical measurement, but a probability one. A variation of techniques can be used to determine the centre and mode in order to spot any odd or even numbers of values.
Here,
We must figure out the difference between the middle of the
=> 800-850 range (i.e., 825), and
the present average score of 664 in order to raise it to an excellent rating.
The distinction is:
=> 825 - 664 = 161
In order to raise the average FICO credit score mentioned in the cited statistics to an excellent rating, we must therefore achieve an increase of 161 points.
Response: B. 161.
To know more about average , visit
https://brainly.com/question/24057012
#SPJ1
Therefοre , the sοlutiοn οf the given prοblem οf average cοmes οut tο be Respοnse: B. 161.
Explain average.The exact value that cοnstitutes the mean οf an οrganised cοllectiοn is its median value. The ratiο between lοwest and greatest 50% οf the dataset in this situatiοn is nοt a typical measurement, but a prοbability οne. A variatiοn οf techniques can be used tο determine the centre and mοde in οrder tο spοt any οdd οr even numbers οf values.
In οrdinary language, an average is a single number taken as representative οf a list οf numbers, usually the sum οf the numbers divided by hοw many numbers are in the list (the arithmetic mean). Fοr example, the average οf the numbers 2, 3, 4, 7, and 9 (summing tο 25) is 5.
Here,
We must figure οut the difference between the middle οf the
=> 800-850 range (i.e., 825), and
the present average scοre οf 664 in οrder tο raise it tο an excellent rating.
The distinctiοn is:
=> 825 - 664 = 161
In οrder tο raise the average FICO credit scοre mentiοned in the cited statistics tο an excellent rating, we must therefοre achieve an increase οf 161 pοints.
Respοnse: B. 161.
To know more about average , visit
brainly.com/question/24057012
#SPJ1
Cοmplete Questiοn
Several factοrs are cοnsidered by lenders when reviewing credit applicatiοns. One item is a FICO scοre which ranges in pοint value frοm 300 tο 850. While yοur FICO scοre is οnly οne cοmpοnent in the decisiοn making prοcess, a scοre οf mid seven hundred and higher is typically deemed as 'A' credit and can gleam the best interest rate οffered at the time. The belοw chart shοws a partial listing and the assοciated apprοximatiοns οf the percentages οf the US pοpulatiοn that fell intο the given ranges οf FICO scοres in recent years.
Pοpulatiοn in % Credit scοre range
Rating
13
800 - 850
Excellent
27
750 - 799
Abοve Average
18
700 - 749
Average
15
650 - 699
Belοw Average
12
600 - 649
Pοοr
Data cοrrelated frοm οver 70,000 cοnsumers pοinted tο an average FICO credit scοre οf 664 at the time that the abοve chart was calculated.
Sοurce: My FICO. Sept 2013. Retrieved frοm www.MyFICO.cοm.
Accοrding tο the abοve chart, hοw many pοints must be realized tο increase the cited data average FICO credit scοre tο an excellent rating?
A.36
B.136
C.64
D.86
i need help on my homework asap
Answers
The characters have two possible names: i) NOARMI, ii) NORMANI.
How to decipher the name of a character by distributive property
In this problem we must decipher the possible names of a character by matching an algebraic equation and its equivalent by distributive property:
a · (b + c) = a · b + a · c, where a, b, c are real numbers.
The following rules are listed below:
Red lines eliminates letters. Remaining letters are enclosed by blue circles.Case 1: 5 · (3 - x) = 15 - 5 · x
Case 2: 6 · (9 + 3 · x) = 54 + 18 · x
Case 3: 3 · (x + 5) = 3 · x + 15
Case 4: 14 · (2 · x + 4) = 28 · x + 56
Case 5: 7 · (4 - x) = 28 - 7 · x
Case 6: 13 · (x - 2) = 13 · x - 26
Case 7: 8 · (4 + 3 · x) = 32 + 24 · x
Case 8: 11 · (5 · x + 8) = 55 · x + 88
Case 9: 1 · (6 + x) = 6 + x
Case 10: 10 · (6 - x) = 60 - 10 · x
And two possible names for the character are i) NOARMI, ii) NORMANI.
To learn more on distributive properties: https://brainly.com/question/13130806
#SPJ1
Help on agile mind assignment
Answers
Answer:
30.0 inches
Step-by-step explanation:
P=40 inches
B=16+16+16+16=64 inches
tan R=40/64
R=tan^-1(40/64)
R=32°
16×3=48
tan 32°=x/48
48×tan 32°=x
x=30.0 inches
If f(x) = 2x5/3, what is the instantaneous rate of change of f(x) at x = 8?
Answers
Answer:
16/3
three polynomials are factored below, but some coefficients are missing. All of the missing values of a,b, c, and d are integers
Answers
The values of a = 3, b = 3, c = 1, and d = 2.The table is given below.
What is polynomials?Polynomials are mathematical expressions made up of variables, coefficients, and exponents. They can include addition, subtraction, multiplication, and division, and can be used to represent a wide range of functions and phenomena in mathematics and science.
For the given polynomials to be factored as (ax + b)(cx + d), we can use a technique called "AC Method".
In this method, we need to find two numbers whose product is equal to the product of the first and the last term of the polynomial, and whose sum is equal to the coefficient of the middle term.
x² + 2x - 15 = (x + 5)(x - 3)
Here, a = 1, b = 5, c = 1, and d = -3.
2x³ + 6x² - 20x = 2x(x + 2)(x - 5)
Here, a = 2, b = 2, c = 1, and d = -5.
9x² + 21x + 6 = 3(3x² + 7x + 2) = 3(3x + 1)(x + 2)
Polynomial a b c d
x² + 2x - 15 1 5 1 -3
2x³ + 6x² - 20x 2 2 1 -5
9x² + 21x + 6 3 3 1 2
To know more about exponents visit:
https://brainly.com/question/30415259
#SPJ1
(x²+ 8x+___)-(___+7x+4)=-3x² + x + 11
Find the missing terms
Show work!!!!
Answers
The complete expression is:
(x² + 8x + 3) - (3 + 7x + 4) = -3x² + x + 11.
In order to complete the sentence:
(x² + 8x + ) - ( + 7x + 4) = -3x² + x + 11
Both sides of the equation can be expanded, and similar terms can be gathered:
x² + 8x - __ - __ - 7x - 4 = -3x² + x + 11
By condensing and rearrangeing, we obtain:
x² + x² + 8x - 7x - __ - __ = 11 + 4
2x² + x - __ = 15
From the left side of the equation, we can see that the x2 term's coefficient is 2. The right-hand side's x2 term's coefficient must likewise be 2 for the equation to be in balance. We thus have:
2x² + x - __ = 15
-3x² + x + 11 = 15
15 is subtracted from both sides to yield:
-3x² + x - 4 = 0
We can use the quadratic formula to find the missing terms:
x=(-b (b2 - 4ac)) / 2a
the equation has the form ax2 + bx + c = 0, where a = -3, b = 1, and c = -4.
The formula produces the following outcomes when these values are added:
x = (-1 ± √(1² - 4(-3)(-4))) / 2(-3)
If we simplify, we get:
x = (-1 ± √49) / -6
x = (-1 ± 7) / -6
Thus, the following terms are lacking:
8 and 3
Thus, the full phrase is:
(x² + 8x + 3) - (3 + 7x + 4) = -3x² + x + 11.
To know more about Equation visit:
https://brainly.com/question/29538993
#SPJ1
PLEASE HELP
Part A: Create a fifth-degree polynomial with three terms in standard form. How do you know it is in standard form? (5 points)
Part B: Explain the closure property as it relates to subtraction of polynomials. Give an example. (5 points)
Answers
A fifth-degree polynomial with three terms in standard form would be written as a[tex]x^{2}[/tex] + b[tex]x^{4}[/tex]+ c[tex]x^{3}[/tex]. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.
Part A: A fifth-degree polynomial with three terms in standard form would be written as a[tex]x^{2}[/tex] + b[tex]x^{4}[/tex]+ c[tex]x^{3}[/tex]. The coefficient of the highest degree term (x^5) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.
Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4[tex]x^{2}[/tex] + 3x - 5 and [tex]x^{2}[/tex] + 2. The result of this subtraction would be 3[tex]x^{2}[/tex] + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.
Learn more about polynomial here:
https://brainly.com/question/28936357
#SPJ1
A fifth-degree polynomial with three terms in standard form would be written as a[tex]x^{2}[/tex] + b[tex]y^{2}[/tex]+ c. The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set.
Part A: A fifth-degree polynomial with three terms in standard form would be written as a[tex]x^{2}[/tex] + b[tex]y^{2}[/tex]+ c. The coefficient of the highest degree term ([tex]x^{5}[/tex]) must be non-zero and all the terms must be written in descending order of the degree. This is the definition of standard form for polynomials.
Part B: The closure property states that a set is closed under a certain operation if performing that operation on any two elements of the set produces a result that is also an element of the set. In this case, the set is polynomials and the operation is subtraction. An example of this property can be seen by subtracting two polynomials, such as 4[tex]x^{2}[/tex] + 3x - 5 and + 2. The result of this subtraction would be 3[tex]x^{2}[/tex] + 3x - 5, which is also a polynomial and therefore an element of the set, demonstrating the closure property.
Learn more about polynomial here:
https://brainly.com/question/28936357
#SPJ1
the orginial quantity is 5 and the new quantity is 3 what is the percent change.
Answers
Answer:
40%
Step-by-step explanation:
5 to 3
100/5 = 20%
5-3 = 2
20*2 = 40
40%
Solve for the value of x
Answers
Answer:
1. x is 37.5
2. x is 20
3. x is approximately 14.2
Step-by-step explanation:
A right angle is always 90 degrees, so we can create an equation like these:
1. 90 = x + x + 15
We get x by itself and find x is equal to 37.5.
2. 90 = x + 2x + 30
We get x by itself and find x is equal to 20.
3. 90 = 4x + 2x + 5
We get x by itself and find x is approximately around 14.2.
please help asapppppppppppppp
Answers
=11/11+12 • 100
= 11/23 • 100
= 0.478260869565217 • 100
= 47.8
Eric cycled 2.25km in 5 min.
Josie cycled 2.72km in 8 min.
Who traveled farther in 1 min?
Show your work
Answers
Answer:
Eric travelled farther
Step-by-step explanation:
Convert all the distance to metre
Eric travelled 2250 in 5mins
In 1 min, he travelled 2250/5 = 450m
Josientravelled 2720m in 8mins
In 1min, he travelled 2720/8 = 340m
What is the radius of a hemisphere with a volume of
757
cm
3
,
757 cm
3
, to the nearest tenth of a centimeter?
Answers
Answer:
answer..........
.........................
Help me!
“At the time of her grandson birth, a grandpa deposits $10000 in an account that pays 4.75% interest compounded semi annually. What will be the value of the account at the child’s twenty five birthday?”
Answers
10000-4.75%=find the ratio of a given word
suppose that the functions r and s are defined for all real numbers x as follows
r(x)= 2x+3
s(x)= 5x
write the expressions for (s-r)(x) and (s*r)(x) and evaluate (s+r)(1)
Answers
The expressions for (s-r)(x) and (s×r) are 5x - (2x+3) and 5x × (2x+3) respectively and evaluated (s+r)(1) = 10.
What is expressions?Any mathematical statement that includes numbers, variables, and an arithmetic actiοn between them is knοwn as an expressiοn οr algebraic expressiοn. In the expressiοn 4m + 5, fοr instance, the wοrds 4m and 5 are separated frοm the variable m by the arithmetic symbοl +.
Anything with a variable value is anything whοse wοrth changes οver time. Typically, alphabetical letters like a, b, c, m, n, p, x, y, and z are used tο indicate expressiοn variables
Given r(x) = 2x+3
s(x) = 5x
(s-r)(x) ⇒ 5x - (2x+3)
(s×r)(x) ⇒ 5x × (2x+3)
Evaluating
(s+r)(1) ⇒ 5(1) + (2(1) + 3)
5(1) + (2(1) + 3)
= 5 + (2 + 3)
= 5 + 5
= 10
To know more about the expression:
brainly.com/question/14083225
#SPJ1
Without evaluating each expression, determine which value is the greatest. Explain how you know.
7 5/6 - 9 3/4
(-7 5/6) + (-9 3/4)
(-7 5/6) • (9 3/4)
(-7 5/6) ÷ (-9 3/4)
Answers
Therefore, the greatest value is -23/12. We know this because it has the smallest absolute value (i.e., it is the closest to zero) among the given expressions.
What is expression?In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, and division) that can be evaluated or simplified to obtain a value or another expression. Expressions can range from simple arithmetic expressions like "2 + 3" to more complex algebraic expressions like "3x^2 + 2x - 5". They can also include functions, inequalities, and other mathematical concepts. Expressions are fundamental building blocks in mathematics and are used in many different areas, such as algebra, calculus, geometry, and statistics.
Here,
To determine which value is the greatest, we need to simplify each expression and compare them. Let's simplify each expression using the order of operations (PEMDAS):
7 5/6 - 9 3/4 = (67+5)/6 - (49+3)/4 = 47/6 - 39/4 = (94-117)/12 = -23/12
(-7 5/6) + (-9 3/4) = -(67+5)/6 - (49+3)/4 = -47/6 - 39/4 = -(94+117)/12 = -211/12
(-7 5/6) + (-9 3/4)(-7 5/6) = -(67+5)/6 - (49+3)/4*(67+5)/6 = -47/6 - 237/8 = -(3247+6237)/(68) = -2219/48
(9 3/4)(-7 5/6) ÷ (-9 3/4) = (49+3)/4(67+5)/6 ÷ -(49+3)/4 = -(6*7+5)/6 = -47/6
Now, let's compare the values:
-23/12 < -211/12 < -2219/48 < -47/6
To know more about expression,
https://brainly.com/question/30091997
#SPJ1
Write an equation to solve for x.
Please provide steps
Answers
Answer:
x = 50
Step-by-step explanation:
= a straight line is always equal to 180 degrees
= 180 -30 degrees = 150
= 150/3
=50
In 2019, the median household income for Massachusetts was $85,843 per year, which amounts
to $7,154 per month, or $3577 per paycheck if paid twice per month. If Glenn's family has the
median household income, what percent of his recent paycheck went toward sales tax on this
purchase?
Answers
If Glenn's family has a median household income of $3,577, the percent of his recent paycheck that went toward sales tax on this purchase is 0.45%.
What is the impact of sales tax on personal finances?Sales tax is a consumption tax levied for the purchase of goods and services.
The imposition of sales tax increases the financial burden on households and reduces their purchasing power.
Sales tax also reduces demand for goods and services, thereby reducing the profits of suppliers.
Data and Calculations:Glenn's recent paycheck = $3,577
Massachusetts' median household income for 2019 = $85,843
Glenn's recent purchase = $255.79
Glenn's total bill after sales tax = $271.78
Sales tax rate = 6.25%
Sales tax in dollars = $15.99 ($271.78 - $255.79)
Percentage of the recent paycheck that went towards sales tax = 0.45%($15.99/$3,577 x 100).
Thus, the tax burden of sales tax falls on suppliers and consumers in terms of lower profits or higher prices.
What is the probability of at least two coins landing on heads? startfraction 5 over 16 endfraction startfraction 3 over 8 endfraction one-half startfraction 11 over 16 endfraction.
Answers
Answer:
.25 or 25%
Step-by-step explanation:
how to factor quadratics
Answers
Step-by-step explanation:
(ax + b)(cx + d) = acx² + bcx + adx + bd =
= acx² + (bc + ad)x + bd
we have as actual result
6x² - x - 2
and we get a = 2
so,
acx² = 2cx² = 6x²
cx² = 3x²
c = 3
for the remaining terms we see
3b + 2d = -1
2d = -3b - 1
d = (-3b - 1)/2
bd = -2
b(-3b - 1)/2 = -2
b(-3b - 1) = -4
-3b² - b + 4 = 0
we could solve for a quadratic equation, but
bd = -2
has very limited possibilities (we assume we are dealing with integer solutions).
it means 1×-2 or -1×2
let's try b = 1
-3×1² - 1 + 4 = 0
-3 - 1 + 4 = 0 correct
so,
b = 1, d = -2
and we get
(2x + 1)(3x - 2)
PLEASE HELP ME‼️
At a concession stand three hot dogs and four hamburgers cost $11.50
four hot dogs and three hamburgers cost $11.25
Find the cost of one hot dog and the cost of one hamburger
Answers
Answer:
One hot dog costs $1.50 and one hamburger costs $1.75
Step-by-step explanation:
Let x be the cost of one hot dog and y be the cost of one hamburger.
From the first statement, we can set up the following equation:
3x + 4y = 11.5
Similarly, from the second statement, we can set up another equation:
4x + 3y = 11.25
Now we have two equations with two variables. We can solve for x and y using algebraic methods.
One way to do this is to use elimination. We can multiply the first equation by 4 and the second equation by 3, so that we can eliminate one of the variables:
12x + 16y = 46
12x + 9y = 33.75
Subtracting the second equation from the first, we get:
7y = 12.25
Dividing both sides by 7, we get:
y = 1.75
Now we can substitute y = 1.75 into either of the original equations to solve for x. Let's use the first equation:
3x + 4(1.75) = 11.5
3x + 7 = 11.5
3x = 4.5
x = 1.5
Therefore, one hot dog costs $1.50 and one hamburger costs $1.75.
What is an equation for the quadratic function represented by the table shown?
Answers
Therefore , the solution of the given problem of equation comes out to be f(x) = -4x² - 15x + 4.
What is an equation ?A variable term is commonly used in complex algorithms to ensure consistency between the two competing claims. Academic expressions called equations are used to show the equality of various academic numbers. In this case, the normalise method offers b + 6 as opposed to simply an expression that divides 12 into two parts to be used with the data from y + 6.
Here,
The degree of the polynomial function that fits the table can be determined using the finite differences technique.
The initial variations are:
=> 3, -3, -9
The subsequent distinctions are:
=> -6, -6
Making use of the point (-2, 4)
=> 4 = a(-2)²+ b(-2) + c
=> 4 = 4a - 2b + c ...(1) (1)
Pointing at (-1, 7):
=> 7 = a(-1)² + b(-1) + c
=> 7 = a - b + c ...(2) (2)
Using a spot 0, ,,,,,,,,
=> 4 = a(0)² + b(0) + c
=> 4 = c ...(3)
Pointing at (1, -5):
=> -5 = a(1)² + b(1) + c
=> -5 = a + b + c ...(4) (4)
We can deduce that c = 4 from equation (3). This is entered into equations (1) and (2), and the result is:
=> 4 = 4a - 2b + 4
=> 7 = a - b + 4
Making each equation simpler:
=> 4a - 2b = -4 ...(5)
=> a - b = 3 ...(6)
By condensing and figuring out a, we arrive at:
=> a = -4
When we enter this value of an into equation (6) to find b, we obtain:
=> b = -15
Consequently, the quadratic function shown in the table's expression is as follows:
=> f(x) = -4x² - 15x + 4
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
pls help i’m struggling
Answers
The set of ordered pairs that represents a function is C. { ( -40, 0) , ( 20, -30), ( 60, 50 ) }
The statement that is true, given the graph on the charges of the Mechanics, is B. Mechanic B charges $8.00 more per hour than Mechanic A.
How to find the correct set of ordered pairs?The set of ordered pairs that would be a function is the set of ordered pairs that has different points. This means that each point corresponds to a different point. The best set is therefore { ( -40, 0) , ( 20, -30), ( 60, 50 ) }.
How to find the number of hours ?The equation y = 36 x means that Mechanic A charges $ 36 per hour.
The charge by Mechanic B can be found by the formula:
= Change in y / Change in x
Using the point, ( 2, 88 ), the charge would be:
= 88 / 2
= $ 44 per hour
The difference is:
= 44 - 36
= $ 8
In conclusion, option B is correct.
Find out more on ordered pairs at https://brainly.com/question/21648182
#SPJ1
surface area of a cylinder radias 2yd hight is 8yd
Answers
Answer:
125.7 yd² (nearest tenth)
Step-by-step explanation:
The formula for the surface area of a cylinder is:
[tex]\large\boxed{S.A.=2\pi r^2 + 2\pi r h}[/tex]
where:
r is the radius of the circular base.h is the height of the cylinder.To find the surface area of a cylinder with radius 2 yd and height 8 yd, substitute r = 2 and h = 8 into the formula and solve for S.A.:
[tex]\begin{aligned}S.A.&=2\pi \cdot 2^2 + 2\pi \cdot 2\cdot 8\\&=2\pi \cdot 4 + 32\pi\\&=8\pi + 32\pi\\&=40\pi\\&=125.663706...\\&=125.7\; \sf yd^2\;(nearest\;tenth)\end{aligned}[/tex]
Therefore, the surface area of the cylinder is 125.7 yd² (rounded to the nearest tenth).
Catherine's mother is wrapping a box that is 12 in
long x 8 in wide x 10 in high. How many square
inches of wrapping paper will Catherine need to cover
the box?
62
Using the data
What statistical question could be answered with this
data?
Answers
Answer:592 inches
S
=2(12⋅8+8⋅10+12⋅10) = 2(96+80+120) or S=2⋅296
=592sq.inch
bernie paid 14.50 to buy 5 paperback books and 1 hardcover book. paz paid 30.50 to buy 4 paperback books and 5 hardcovers books.the prices for all hardcover books were the same,and the price for all paperback books were. The same.what was the price of a hardcover book?
Answers
The amount for a hardcover book was the same for both Bernie and Paz, and was equal to 30.50 - 14.50 = 16.00 dollars.
The price for a hardcover book was the same for both Bernie and Paz, and was equal to 30.50 (the amount Paz paid for her books) minus 14.50 (the amount Bernie paid for his books). This gives us a total of 16.00 dollars, which is the price of a single hardcover book. Bernie and Paz both paid the same price for all of their paperback books, which means that the price of a paperback book must have been 14.50/5 = 2.90 dollars. Similarly, Paz paid 30.50/5 = 6.10 dollars for each of her hardcover books. This demonstrates that the price of a hardcover book was higher than the price of a paperback book, as 16.00 is greater than 2.90. This means that Bernie and Paz paid a total of 11.50 dollars (5 paperback books at 2.90 dollars each, and 1 hardcover book at 16.00 dollars) and 27.50 dollars (4 paperback books at 2.90 dollars each, and 5 hardcover books at 6.10 dollars each) respectively.
Learn more about amount here
https://brainly.com/question/28970975
#SPJ1
Eli has double the number of books that japera has.how many books does Eli have.
Answers
Answer:
???
Step-by-step explanation:
I cannot give you a defined amount for how many books Eli or Japera have, because you didn’t assign values for either of them. However, if we say Japera has x books, then Eli would have 2x books.
What are the coordinates of the point on the directed line segment from (−10,5) to (8,2) that partitions the segment into a ratio of 1 to 2?
Answers
so let's say point C partitions segment A(-10 , 5) B(8 , 2) in a 1 : 2 ratio from A to B, so
[tex]\textit{internal division of a line segment using ratios} \\\\\\ A(-10,5)\qquad B(8,2)\qquad \qquad \stackrel{\textit{ratio from A to B}}{1:2} \\\\\\ \cfrac{A\underline{C}}{\underline{C} B} = \cfrac{1}{2}\implies \cfrac{A}{B} = \cfrac{1}{2}\implies 2A=1B\implies 2(-10,5)=1(8,2)[/tex]
[tex](\stackrel{x}{-20}~~,~~ \stackrel{y}{10})=(\stackrel{x}{8}~~,~~ \stackrel{y}{2}) \implies C=\underset{\textit{sum of the ratios}}{\left( \cfrac{\stackrel{\textit{sum of x's}}{-20 +8}}{1+2}~~,~~\cfrac{\stackrel{\textit{sum of y's}}{10 +2}}{1+2} \right)} \\\\\\ C=\left( \cfrac{ -12 }{ 3 }~~,~~\cfrac{ 12}{ 3 } \right)\implies \boxed{C=(-4~~,~~4)}[/tex]
