Answer:
Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.
Step-by-step explanation:
In statistics, a standardized score is the number of standard deviations an observation or data point is from the mean.
Let us consider a random variable, X that follows a normal distribution, N (µ, σ²).
Then Z is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is,
[tex]Z=\frac{x-\mu}{\sigma}\sim N(0, 1)[/tex]
This, z-score is known as the standardized score.
It is provided that the distribution of finishing time for men (say, X) was approximately normal with mean µ = 242 minutes and standard deviation σ = 29 minutes.
The finishing time for Clay was x = 289 minutes.
Compute Clay's z-score as follows:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]=\frac{289-242}{29}\\\\=1.67857143\\\\\approx 1.68[/tex]
Thus, Clay's standardized score is 1.68.
That is, Clay's finishing time is 1.68 standard deviation above the mean finishing time for men.
Find the product of 742 and 73 Type your answer...m
Answer:
31906.hope it helps you.
Step-by-step explanation:
742*73=31906
Is 4.55555..... a rational or irrational number?
Answer:rational
Step-by-step explanation:
Answer:
It is rational
Step-by-step explanation:
Since it repeats 5 over and over again it is rational. If the decimal didn't have a pattern like the number 4.598389599527... then the answer would be irrational.
What number is an interger?
A.-3/4 B.0 C.2.3 D.~
Answer:
they are all integers
Step-by-step explanation:
Find the distance from point A to the given line.
Round to nearest tenth
A(2, −1), y = −x + 4
Answer:
Let's see what to do buddy...
Step-by-step explanation:
_________________________________
Step (1)
To find the distance between the line which formed like :
[tex]ax + by + c = 0[/tex]
and the point which is like :
[tex]h = \binom{m}{n} \\ [/tex]
we use following equation :
[tex]d = \frac{ |a(m) + b(n) + c| }{ \sqrt{ {a}^{2} + {b}^{2} } } \\ [/tex]
_________________________________ Step (2)
[tex]y = - x + 4[/tex]
[tex]x + y - 4 = 0[/tex]
So ;
[tex]a = 1[/tex]
[tex]b = 1[/tex]
[tex]c = - 4[/tex]
°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°
A = ( 2 , - 1 )
°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°
So we have :
[tex]d = \frac{ | \: 1(2) + 1( - 1) - 4| }{ \sqrt{ {1}^{2} + {1}^{2} } } = \\ [/tex]
[tex]d = \frac{ |2 - 1 - 4| }{ \sqrt{1 + 1} } = \frac{ | - 3| }{ \sqrt{2} } \\ [/tex]
[tex]d = \frac{3}{ \sqrt{2} } \\ [/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
♥️♥️♥️♥️♥️
what is the equation of the line that passes through (-1,-4) and (9,-5) ?
Answer:
y=-1/10 x - 41/10
Step-by-step explanation:
slope: y2-y1 / x2-x1 = -5-(-4) / 9-(-1) = -1/10
y= -1/10 x +b, substitute (-1,-4) to solve b
-4=-1/10 (-1) +b
b=-41/10
Find the value that makes the equation true 18x-23=1+6x
What is the vertical distance between 670 feet above sea level and 300 feet below sea level? You answer
Answer:
970 feet is the difference between 670 feet above sea level and 300 feet below sea level.
Step-by-step explanation:
670-(-300)
970 feet
13x -2y -5x +8
1. How many terms are in the expression?
2. Which terms are “like terms”?
3. Are there any constants? If so, what are they?
4. What are the variables in the expression?
5. What are the coefficients in the expression?
Step-by-step explanation:
1. How many terms are in the expression?
The terms are sorted by looking at the sing/indicator in front of them. For this expression there are 4 terms
13x, -2y, -5x, and 8
2. Which terms are “like terms”?
13x and -5x are like terms.
3. Are there any constants? If so, what are they?
Yes there is a constant terms and it's 8
4. What are the variables in the expression?
The variables in this expression are x, and y
5. What are the coefficients in the expression?
Coefficients is the number in front of variables in this expression the coefficients are 13, -2, and -5
Answer:
there are 4 terms
13x and - 5x are like terms
+8 is the only constant term
yes there are variables
the coefficients are ,13,-2, and-5
Step-by-step explanation:
1. A term is any section of a equation that has to do with an operation such as multipulcation or subtraction.
2. like terms are terms that share a common variable with another term.
3. Constants are number in an equation that have no variable and don't change
4. variables are letters used in an equation
5. coeffecients are the number a next to variables make sure to take the negitave or positive sign in front of it to account when solving your problem. variables with out a number in front of them always have a coefficient of 1.
V 11. What is the result of multiplying 2.5 x 10 10 by 3.5 x 10 -7
Answer:
(2.5 x 10^10) x (3.5 x 10^-7) <--- When multiplying, numbers can be arranged in any order.
= (2.5 x 3.5) x (10^10 x 10^-7) <--- When you multiply numbers with the same base, add their exponents.
= 8.75 x 10^3
Step-by-step explanation:
1. The value of 25 x (8.5) is:
a.
More than 250
b. Less than 250
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The value of 25×8.5 is less than 250. The correct option is B.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The value of 25×8.5 is needed to be calculated in order to know if the product is more than 250 or not. Therefore, the value of the 25×8.5 can be calculated as,
25×8.5
= 25 × (85/10)
= 2125/10
= 212.5
Since the value of the product of 25 and 8.5 is 212.5 which is less than 250. It can be calculated that the number is smaller than 250.
Hence, the value of 25×8.5 is less than 250.
Learn more about Multiplication here:
https://brainly.com/question/14059007
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2 points
2) At the sixth-grade school dance, there are 132 boys, 89 girls, and 14
adults. Write the ratio of the number of girls to the TOTAL number of
a number changed to 3.25 after it was rounded to what place was the number rounded
Answer: hundredths place
Step-by-step explanation:
Hundredths place is the second number after the decimal point
16.3 as a mixed decimal
Find the value of X.
Answer:
Step-by-step explanation:
180-117 = 63(l.p)
66+63+x = 180 ( angle sum property)
180 - 129 = 51
x = 51
How can you use mental math to find the produce 6 x 295?
Answer:
Break up the number
Step-by-step explanation:
6 x 295 = 1770
295 = 200 + 90 + 5
(6 x 200) + (6 x 90) + (6 x 5) = 1770
1200 + 540 + 30
1740 + 30
1770
The value of the expression 6 x 295 using the property of multiplication will be 1770.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and correctly.
The numbers are given below.
6 and 295
Then the multiplication of the numbers 6 and 295 will be given by putting a cross sign between the numbers 6 and 295. Then we have
⇒ 6 x 295
⇒ 1770
The value of the expression 6 x 295 will be 1770.
More about the Algebra link is given below.
https://brainly.com/question/953809
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2. Ten football teams are playing in a league.
Each team played each of the other teams exactly
once. How many matches were played in the
league?
I'm giving ⚡️ 100 POINTS ⚡️ for a hella easy question, its provided in the picture i mark BRAINLIEST
Answer:
7620 is the answer.Step-by-step explanation:
7.62 × 10^3= 7.62 × 1000= 7620
If you like this answer then mark this answer as BRAINLIEST answer.....
Thank you ☺️☺️
please I need help. you will get points
Answer:
t(32) = 94
Step-by-step explanation:
a. I think s is the independent variable
b I think t or t(s) is the dependent variable since the total amount of money depends on how many treats are sold.
t(32) = 30 + 2(32)
t(32) = 30 + 64
t(32) = 94
I'm a little unsure on the dependent and independent variable but I know the function is correct.
Hope this helps :)
Please help with my Probability Sheet. Integrated Math 2. Spin or Roll.
Answer:
I can't see the pdf
Step-by-step explanation:
please put the image up
Write and solve an equation to find the value of x and the missing angle measures
Answer:
6x-4=4x+14
Step-by-step explanation:
x=
9
What is 1000% percent of 99.
Which number has an 8 that is 1 tenth the value of the 8 in 78
The International Average Salary Income Database provides a comparison of average salaries for various professions. The data are gathered from publications and reports obtained directly from government agencies (such as the U.S. Bureau of Labor Statistics) or from the International Labour Organization. Suppose you are told that an accountant in Canada who makes $2, 646.00 has a z-score of +0.50 relative to other accountants in Canada and that the standard deviation of the salary of accountants in Canada is $588.00. The average salary, then, for accountants in Canada is _____. Suppose you are also told that an accountant in Portugal who makes $2, 329.40 has a z-score of +2.00 relative to other accountants in Portugal and that the mean of the salary of accountants in Portugal is $1, 553. The standard deviation of the salary, then, for accountants in Portugal is _____ .
Answer:
a)The average salary, then, for accountants in Canada is $2352
b) The standard deviation of the salary, then, for accountants in Portugal is $388.2
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where:
x is the raw score
μ is the population mean
σ is the population standard deviation.
a) Suppose you are told that an accountant in Canada who makes $2,646.00 has a z-score of +0.50 relative to other accountants in Canada and that the standard deviation of the salary of accountants in Canada is $588.00. The average salary, then, for accountants in Canada is _____.
z = (x-μ)/σ
z = 0.50, x =$2,646.00 μ = ?? σ = $588
Hence,
0.50 = 2,646 - μ/588
0.50 × 588 = 2,646 - μ
294 = 2,646 - μ
μ = 2,646 - 294
μ = $2352
Therefore, the average salary, then, for accountants in Canada is $2352
b) Suppose you are also told that an accountant in Portugal who makes $2, 329.40 has a z-score of +2.00 relative to other accountants in Portugal and that the mean of the salary of accountants in Portugal is $1, 553. The standard deviation of the salary, then, for accountants in Portugal is _____ .
z = (x-μ)/σ
z = 2, x = $2,329.40 μ =$1,553 σ = ?
2 = ($2,329.40 - $1,553)/σ
2σ = $2,329.40 - $1,553
σ = $2,329.40 - $1,553/2
σ = $776.4 /2
σ = $388.2
Therefore, the standard deviation of the salary, then, for accountants in Portugal is $388.2
Henry is playing a new game app where he needs to navigate through a maze without touching the walls. each player stars with 1,000 points, and 5 points are deducted each time a wall is touched.
What type of relationship most appropriately models this situation?
A. Exponential Decay
B. Linear Decrease
C. Exponential Growth
D. Linear Decrease
Answer:
Step-by-step explanation:
Linear decrease
I will give you branilest!
To transmit information on the internet, large files are broken into packets of smaller sizes. Each packet has 1,500 bytes of information. An equation relating packets of information is given by b = 1500p where p represents the number of packets and b represents the number of bytes of information.
a. How many packets would be needed to transmit 30,000 bytes of information?
Answer:20 packets
Step-by-step explanation: 30,000/ 1500=20
Answer:
20 packets (answer)
Step-by-step explanation:
= 30,000/1500 = 20
=20 packets
( Glad to help:)
What is the slope of the line that contains these point?
(13,11),(14,6),(15,1),(16,-4)
Answer:
Step-by-step explanation:
You can easily find the slope by using two points. Let’s use (13, 11) and (14, 6)
We look at the slope equation as: y2 - y1 divided by x2 and x1.
13 = x1 11= y1 and 14= x2 6=y2
Plug in: 6-11/14-13 and solve
Answer: -5
Hope I made sense :)
Answer:
Slope (m) = -5
Step-by-step explanation:
*If all the given four points are on a straight line then; the slope derived from first two points should be equal to the slope derived from the next to points.
Let's verify this ...
For the first two points:
Slope (m) = change in y ÷ change in x = [tex]\frac{6 - 11}{14 - 13} = \frac{-5}{1} = -5[/tex]
For the next two points:
m = [tex]\frac{-4 - 1}{16 - 15} = -5[/tex]
*Proved ∴ points (13,11) , (14,6) , (15, 1) and (16,-4) are on the same line.
We can find the equation of this line and ascertain that the four points are on a single line.Taking another point (x,y) on the line and point (13,11);
m = [tex]\frac{y - 11}{x - 13} = -5[/tex]
y = -5x + 65 + 11
y = -5x + 76
Let's graph this equation. (graph attached)NEED HELP ASAP PLEASE!
Solve the following system of equations using the elimination method.
7x + 20y = 14
2x – 10y = 4
Question 18 options:
A)
(3,1)
B)
(2,0)
C)
(4,–5)
D)
(–3,4)
Answer:
Answer is b
x=2 y=0_________
Which of these statements is correct?
A
A solution to the equation x2=4 is x=16.
B
A solution to the equation x2=64 is x=4.
C
A solution to the equation x3=8 is x=24.
D
A solution to the equation x3=125 is x=5.
A pair of shoes costs $70.00. How much will the customer pay after 7% sales tax is added to the purchase?
Answer:
4.9
Step-by-step explanation:
70.00x7%=4.9
add the following binary numbers 101 and 111 in base 2
Answer:
1100
Step-by-step explanation:
Number 1 in the decimal system
1012 = 510
Number 2 in the decimal system
1112 = 710
Their sum
5 + 7 = 12
Result in binary form
1210 = 11002
Hope it's the right answer and hope it will help you