Answer:
The average rate of change is 5.
Step-by-step explanation:
First plug in the x values.
y=5x+1
=(0)5+1
=1
y=5x+1
=(4)5+1
=21
Average rate of change = the change in the output divided by the change in the input.
Output change: 21-1=20
Input change: 4-0=4
20/4=5
For a population with µ = 40 and σ = 8, what is the z-score corresponding to X = 34?
Answer:
Step-by-step explanation:
[tex]\frac{34-40}{8}= -.75[/tex]
You work for a parts manufacturing company and are tasked with exploring the wear lifetime of a certain bearing. You gather data on oil viscosity used and load. You see the regression output given below.
Predictor Coef Stdev t-ratio P
Constant -147.973 41.972 -3.53 0.004181
viscosity 6.262 0.474 13.21 <0.0001
load 0.298 0.04 7.43 <0.0001
s = 13.507 R² = 95.73% R² (adj = 95.02%
Analysis of Variance
Source DF SS MS F
Regression 2 49131.93 24565.96 134.65
Error 12 2189.38 182.45
Total 14 51321.3
Required:
What is the correct conclusion about the regression slopes based solely on the F-test
Answer:
We reject the Null and conclude that There is significant evidence that the slope values are greater than 0.
Step-by-step explanation:
Based on the ANOVA output given :
The F critical value can be obtained thus ;
F(df regression, df error)
Using an α-value of 0.01
F(2, 12) at α = 0.01 is 6.927
The F statistic as obtained from the ANOVA table = 134.65
Since, F statistic > F critical we reject the Null and conclude that slope values are significantly > 0
Similarly,
Using the Pvalue :
The Pvalue of the slope are extremely small :
Viscosity <0.0001
Load <0.0001
At α = 0.01, 0.025
The Pvalue < α ; The null will be rejected.
The waiting time for a fire department to get called to a house fire is exponentially distributed with an average wait time of 14 minutes. Given that it has already taken 11 minutes, what is the probability that the wait time will be more than an additional 16 minutes?
Answer:
0.319 = 31.9% probability that the wait time will be more than an additional 16 minutes
Step-by-step explanation:
To solve this question, we need to understand the exponential distribution and conditional probability.
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: It has already taken 11 minutes.
Event B: It will take 16 more minutes.
Exponentially distributed with an average wait time of 14 minutes.
This means that [tex]m = 14, \mu = \frac{1}{14}[/tex]
Probability of the waiting time being of at least 11 minutes:
[tex]P(A) = P(X > 11) = e^{-\frac{11}{14}} = 0.4558[/tex]
Probability of the waiting time being of at least 11 minutes, and more than an additional 16 minutes:
More than 11 + 16 = 27 minutes. So
[tex]P(A \cap B) = P(X > 27) = e^{-\frac{27}{14}} = 0.1454[/tex]
What is the probability that the wait time will be more than an additional 16 minutes?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1454}{0.4558} = 0.319[/tex]
0.319 = 31.9% probability that the wait time will be more than an additional 16 minutes
please simplify this one. I need answers fast as possible .(chapter name : surds )
[tex] \sqrt[5]{32} \times 2 \sqrt[3]{81} \\ = {32}^{ \frac{1}{5} } \times 2 {(81)}^{ \frac{1}{3} } \\ = ({{2}^{5}})^{ \frac{1}{5} } \times {2({3}^{3})}^{ \frac{1}{3} } \\ = {2}^{1} \times 2({3}^{1}) \\ = 2 \times 2 \times 3 \\ = 4 \times 3 \\ = 12[/tex]
This is the answer.
Hope it helps!!
Question 4
Which term in the sequence given by n th term formula 7n - 50 has a value of 41?
th term
Answer:
13th term
Step-by-step explanation:
41 = 7n - 50
41 + 50 = 7n
91 = 7n
7n = 91
n = 91/7
n = 13
13th term has value 41
Answer:
n = 13
Step-by-step explanation:
7n - 50 = 41
Add 50 to both sides
7n = 41 + 50
7n = 91
Divide both sides by 7
n = 91/7
n = 13
Identify the level of measurement (nominal, ordinal, or interval-ratio) of each of the following variables: (1) How satisfied a person is with his or her employment benefits, measured as very satisfied, somewhat satisfied, neither satisfied nor dissatisfied, somewhat dissatisfied, or very dissatisfied. (2) The number of times someone has shoplifted in her or his life. (3) The number of times someone has voted in a public election measured as 0-1 times, 2-3 times, or 4 or more times. (4) The type of attomey a criminal defendant has attrial, measured as privately retained or publicly funded.
Solution :
Nominal variable
A nominal variable is defined as a variable which is used to [tex]\text{nam}e \text{ or label or categorize some particular attributes }[/tex] which are being measured.
An ordinal variable is the one in which the order matters, but the difference between any two orders does not matter.
In interval ratio variable is defined as the variable where the difference between any two values is meaningful.
The level of measurement for each of the following are :
1) Variables that are categorized in categories so that it is ordinal data.
2) Data scaled with the two categories her or his, so it is a nominal data.
3) Number of votes categorized in the intervals so it is Interval type data.
4) nominal data.
Simplify. v80
A. 16v5
B. 5v4
C. 4v5
D. 20v4
Hi!
√80 = √(16 • 5) = √(4² • 5) = 4√5
Recall the creative calligraphy case we discussed in class. Suppose you have received a rush order of 55 invitations that have to be created in the next (four hour) work session. What is the most time You (i.e. not Susie) can spend writing on the card and envelope for each invitation and still fill the order
Answer:
About 4 minutes and 3 seconds
Step-by-step explanation:
If I have 55 invitations to be created in four hours.
4 hours × 60 =240 minutes
240/55= 4.36 minutes
So if I spend 4 minutes and 3 seconds on an invitation, I should be able to fill the order.
$2900 at 13% for 30 years. i need simple interest and compounding interest
Answer:
Step-by-step explanation:
simple:
2900(1+.13*30)=14210
Compounding
[tex]2900(1+.13)^{30}=113436.1041[/tex]
Answer:
113436.1041
Step-by-step explanation:
2900 ( 1 +0.13 ) ^ 30
Formula : amount ( 1 + percentage ) ^ years
Thomas Supply Company Inc. is a distributor of gas-powered generators. As with any business, the length of time customers take to pay their invoices is important. Listed below, arranged from smallest to largest, is the time, in days, for a sample of The Thomas Supply Company Inc. invoices.
13 13 13 20 26 29 32 33 34 34 35 35 36 37 38
41 41 41 45 46 47 47 48 52 54 55 56 62 67 82
(Round your answers to 2 decimal places.)
a. Determine the first and third quartiles.
Q1 =
Q3 =
b. Determine the second decile and the eighth decile.
D2 =
D8 =
c. Determine the 67th per
Answer:
Q1 = 32.5
Q3 = 50
D2 = 29
D8 = 52
67th percentile = 46.5
Step-by-step explanation:
Given the ordered data:
13, 13, 13, 20, 26, 29, 32, 33, 34, 34, 35, 35, 36, 37, 38, 41, 41, 41, 45, 46, 47, 47, 48, 52, 54, 55, 56, 62, 67, 82
The first quartile :
Q1 = 1/4(n+1)th term
n = sample size = 30
Q1 = 1/4(31) = 7.75 = (7th + 8th) / 2 = (32+33) / 2 = 32.5
Q3 = 3/4(n+1)th term
n = sample size = 30
Q3 = 3/4(31) = 23.25 = (23rd + 24th) / 2 = (48+52) / 2 = 50
D2 = 2nd decile
2 * 10% = 20%
20% * n
0.2 * 30 = 6th = 29
D8 = 8th decile
8 * 10% = 80%
80% * 30 = 24th = 52
67th percentile :
0.67 * 30 = 20.1 th
(20th + 21th) / 2
(46 + 47) / 2
= 46.5
For the inequality 4x2>y−3, where is the graph shaded and is the curve solid or dotted?
Answer:
Dotted Curve
Shaded Area includes the Origin.
Step-by-step explanation:
I am assuming that you mean 4x² > y-3.
Since the inequality sign is greater than, the line would be dotted. The curve would be solid if the inequality was an 'X or equal to' sign.
----------------------------------
4(0)² > 0 - 3
0 > -3
Since the given statement is true, the origin is a solution and we would shade below the curve.
----------------------------------
See the graph attached.
Hope this helps.
Evaluate for x=2 and y=3: x^2y^-3/x^-1y
Answer:
8/81
Step-by-step explanation:
It's most efficient to simplify the quotient algebraically before inserting the values of the variables x and y.
The given expression reduces to x³ / y^4.
Substituting 2 for x and 3 for y, we get:
(2)³ 8
--------- = ---------- (Agrees with first given possible answer)
(3)^4 81
If a student answered 77 exam questions correctly out of 100, what fraction
and what percentage of questions did the student answer incorrectly?
Choose two answers.
A. 0.77%
B.
20
100
IC
23
100
I D. 23%
O E. 77%
OF
77
100
Answer: 23%
Step-by-step explanation: 77 + 23 is 100
Answer:
77 out of 100
Step-by-step explanation:
For a fraction, it would look like 77/100,
and for percentage, 77%.
X+ 1
If g(x)=
X-2 and h(x) = 4 – x, what is the value of (g•)(-3)?
ola Mo Nional
15
2
18
How do I make people brainliest
Answer:
you have to wait until two people answer then you click their answer to make them brainliest
Step-by-step explanation:
i dont know
blah blah blah blah blah blah blah blah blah blah blah blah
Get brainly if right!! Plsss help
The 8t h term in the arithmetic sequence is 17, and 12t h term is 25. Find the first
term, and the sum of the first 20 terms.
Step-by-step explanation:
t8 = a1 + (n - 1)*d
t8 = 17
17 = a1 + 7*d
t12 = 25
25 = a1 + 11d
17 = a1 + 7d Subtract
8 = 4d Divide by 4
8/4 = 4d/4
2 = d
17 = a1 + 7d
17 = a1 + 7*2
17 = a1 + 14 Subtract 14
3 = a1
Sum 20 terms
The 20 term = a1 + 19*2
The 20 term = 3 + 38
= 41
Sum = (a1 + a20) * 20 / 2
Sum = (3 + 41)* 20/2
Sum = 44 * 10
Sum = 440
PLEASE HELP ME PLEASE
Answer:
Ok so these triangle are the same with equivalent angles
so we can add up the angles 80+26=106
now we subtract from 180
180-106=74
so the measure of angle b is 74
Hope This Helps!!!
Graph the solution for the following linear inequality system. Click on the graph until the final result is displayed.
X +3 SO
X-220
y
Answer:
Step-by-step explanation:
X+3 SO = Cymath can't further simplify this.
Please try another operation.
X-220= Cymath can't further simplify this.
Please try another operation.
y= AsymptotesFind the vertical, horizontal and slant asymptotes.
"Asymptotes y=x^2/(x+8)"
"Asymptotes y=1/x"
DifferentiateFind the derivative.
"Differentiate cos(x)^4"
"Differentiate x^5/y for x"
DomainFind the domain of a function.
"Domain y=2/x"
"Domain y=sqrt(x-3)"
The linear equation Y = a + bX is often used to express cost formulas. In this equation:_________
a) the b term represents variable cost per unit of activity.
b) the a term represents variable cost in total.
c) the X term represents total cost.
d) the Y term represents total fixed cost.
Express 20% as a decimal number
Answer:
.20
Step-by-step explanation:
take the two digit % and move the decimal two places to the left
Answer: 0.2
Step-by-step explanation: 20/100 is 1/5 and 1/5 means 1 divided by 5 so the answer is 0.2
You are a 60 year old male. You want $1,000,000.00 in term life insurance. It will cost you $13.22 per $1,000.
Calculate the annual premium.
A $11,220.00
B $12,220.00
C $13,220.00
D $14,220.00
Answer:
C $13,220
Step-by-step explanation:
Find the factors of function f, and use them to complete this statement. f(x)=2x^(4)-x^(3)-18x^(2)+9x
From left to right, function f has zeros at
Hello,
[tex]f(x)=2x^4-x^3-18x+9x\\\\=x(2x^3-x^2-18x+9)\\\\=x(x^2(2x-1)-9(2x-1))\\\\=x(2x-1)(x^2-9)\\=x(2x-1)(x-3)(x+3)\\[/tex]
Zeros are : 0; 1/2; -3; 3.
The zeros of the function are -3, 0, 1/2 and 3.
The given function is [tex]f(x)=2x^{4} -x^{3} -18x^{2} +9x[/tex].
What are the zeros of a function?Zeros of a function are the points where the graph of the function meets the X-axis i.e., at the solutions of f(x) = 0.
Now, factorise the given function, that is f(x)=x(2x³-x²-18x+9).
=x[x²(2x-1)-9x(2x-1)]
=x(2x-1)(x²-9)
=x(2x-1)(x+3)(x-3)
= -3, 0, 1/2, 3
Therefore, the zeros of the function are -3, 0, 1/2 and 3.
To learn more about the zeros of the function visit:
https://brainly.com/question/16633170.
#SPJ2
A right rectangular prism has a length of 214 cm, width of 8 cm, and height of 2012 cm.
What is the volume of the prism?
Enter the answer in the box.
cm³
Answer:
(using the numbers youve prpvided) 3444544
Step-by-step explanation:
214 x 8 x 2012 = 3444544
XYZ has side lengths that measure 20 centimeters each. Which of the
following best describes this type of triangle?
A. Obtuse triangle
B. Right triangle
C. Scalene triangle
D. Equilateral triangle
Answer:
it's and equilateral triangle because
all sides are equal
Answer:
equilateral triangle i have a math proffesor helping me
Step-by-step explanation:
I have a math proffesor helping me
Children arrive at a house to do Halloween trick-or- treating according to a Poisson process at the unlucky rate of 13/hour. What is the probability that the time between the 15th and 16th arrivals will be more than 4 minutes ? (Hint: Think exponential.)
a) e e-2 = 0.1353
b) e-13/15 = 0.4204
c) e-1 = 0.3679
d) 1-2-1 = 0.6321
Answer:
0.4204 probability, option b.
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Children arrive at a house to do Halloween trick-or- treating according to a Poisson process at the unlucky rate of 13/hour
13 arrivals during an hour, which means that the mean time between arrivals, in minutes is of [tex]\mu = \frac{13}{60} = 0.2167[/tex]
What is the probability that the time between the 15th and 16th arrivals will be more than 4 minutes ?
This is P(X > 4). So
[tex]P(X > 4) = e^{-0.2167*4} = 0.4204[/tex]
So the correct answer is given by option b.
ok i think you guys can do it
[tex] {64}^{ \frac{2}{3} } \div {27}^{ \frac{5}{3} } \times 54 \\ = > \: {({2}^{3} )}^{ \frac{2}{3} } \div ({{3}^{3}})^{ \frac{5}{3} } \times 54 \\ = > \: {2}^{2} \div {3}^{5} \times 54 \\ = > \: 4 \div 243 \times 54 \\ = > \: 4 \div 13122 \\ = > \: \frac{4}{13122} \\ = > \: \frac{2}{6561} [/tex]
Hope it helps!!!!!!!!!!
Giving a test to a group of students, the grades and gender are summarized below
A B C Total
Male 20 10 13 43
Female 15 2 11 28
Total 35 12 24 71
If one student is chosen at random,
Find the probability that the student did NOT get an "B"
Answer:
59 / 71
Step-by-step explanation:
Given the data :
A B C Total
Male 20 10 13 43
Female 15 2 11 28
Total 35 12 24 71
The probability of randomly selecting a Student that got B ;
Probability = required outcome / Total possible outcomes
P(getting B) = number of students who got B / total number of students
P(getting B) = 12 / 71
Probability of getting B = 12 /71
Probability of not getting B = P(getting B)' = 1 - P(getting B)
Probability that student did not get "B" = 1 - 12/71 = 59 / 71
Please show process!!!!
THANK YOU!
Will mark brainylist
Answer: 103 degrees
Step-by-step explanation:
51 + 26 = 77
A triangle adds up to 180 degrees
180 - 77 = 103
= 103 degrees
What is the longest side of a right angled triangle called?
Answer:
The hypotenuse
More math sorry. But I honestly don’t know any of these
Answer: A
Step-by-step explanation:
The main parent functions are x, and x raised to the power of something (examples: [tex]x^2, x^3, x^4[/tex], etc)
