Answers
Answer:
R² = 0.964
Step-by-step explanation:
y = 1.9694x - 0.6122
R² = 0.964
Related Questions
Calls to a customer service center last on average 2.3 minutes with a standard deviation of 2 minutes. An operator in the call center is required to answer 76 calls each day. Assume the call times are independent.
What is the expected total amount of time in minutes the operator will spend on the calls each day?
What is the standard deviation of the total amount of time in minutes the operator will spend on the calls each day? Give your answer to four decimal places.
What is the approximate probability that the total time spent on the calls will be less than 166 minutes? Give your answer to four decimal places. Use the standard deviation as you entered it above to answer this question.
What is the value c such that the approximate probability that the total time spent on the calls each day is less than c is 0.95? Give your answer to four decimal places. Use the standard deviation as you entered it above to answer this question.
Answers
Answer:
The expected total amount of time in minutes the operator will spend on the calls each day is of 174.8 minutes.
The standard deviation of the total amount of time in minutes the operator will spend on the calls each day is of 17.4356 minutes.
0.3085 = 30.85% approximate probability that the total time spent on the calls will be less than 166 minutes.
The value c such that the approximate probability that the total time spent on the calls each day is less than c is 0.95 is [tex]c = 203.4816[/tex]
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
n instances of a normally distributed variable:
For n instances of a normally distributed variable, the mean is:
[tex]M = n\mu[/tex]
The standard deviation is:
[tex]s = \sigma\sqrt{n}[/tex]
Calls to a customer service center last on average 2.3 minutes with a standard deviation of 2 minutes.
This means that [tex]\mu = 2.3, \sigma = 2[/tex]
An operator in the call center is required to answer 76 calls each day.
This means that [tex]n = 76[/tex]
What is the expected total amount of time in minutes the operator will spend on the calls each day?
[tex]M = n\mu = 76*2.3 = 174.8[/tex]
The expected total amount of time in minutes the operator will spend on the calls each day is of 174.8 minutes.
What is the standard deviation of the total amount of time in minutes the operator will spend on the calls each day?
[tex]s = \sigma\sqrt{n} = 2\sqrt{76} = 17.4356[/tex]
The standard deviation of the total amount of time in minutes the operator will spend on the calls each day is of 17.4356 minutes.
What is the approximate probability that the total time spent on the calls will be less than 166 minutes?
This is the p-value of Z when X = 166.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
For this problem:
[tex]Z = \frac{X - M}{s}[/tex]
[tex]Z = \frac{166 - 174.8}{17.4356}[/tex]
[tex]Z = 0.5[/tex]
[tex]Z = 0.5[/tex] has a p-value of 0.6915.
1 - 0.6915 = 0.3085.
0.3085 = 30.85% approximate probability that the total time spent on the calls will be less than 166 minutes.
What is the value c such that the approximate probability that the total time spent on the calls each day is less than c is 0.95?
This is X = c for which Z has a p-value of 0.95, so X = c when Z = 1.645. Then
[tex]Z = \frac{X - M}{s}[/tex]
[tex]1.645 = \frac{c - 174.8}{17.4356}[/tex]
[tex]c - 174.8 = 1.645*17.4356[/tex]
[tex]c = 203.4816[/tex]
The value c such that the approximate probability that the total time spent on the calls each day is less than c is 0.95 is [tex]c = 203.4816[/tex]
a film lasts 45 minutes what fraction of the film is left after 15 minutes and 25 minutes ?
Answers
Answer: i) [tex]\frac{1}{3}[/tex]
ii) [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
Total length of film = 45 mins
Fraction of time left after 15 mins = [tex]\frac{15}{45}[/tex]
= [tex]\frac{1}{3}[/tex]
Fraction of time left after 25 mins = [tex]\frac{25}{45}[/tex]
= [tex]\frac{5}{9}[/tex]
A distribution of values is normal with a mean of 60 and a standard deviation of 16. From this distribution, you are drawing samples of size 25. Find the interval containing the middle-most 76% of sample means.
Answers
Answer:
The interval containing the middle-most 76% of sample means is between 56.24 and 63.76.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
A distribution of values is normal with a mean of 60 and a standard deviation of 16.
This means that [tex]\mu = 60, \sigma = 16[/tex]
Samples of size 25:
This means that [tex]n = 25, s = \frac{16}{\sqrt{25}} = 3.2[/tex]
Find the interval containing the middle-most 76% of sample means.
Between the 50 - (76/2) = 12th percentile and the 50 + (76/2) = 88th percentile.
12th percentile:
X when Z has a p-value of 0.12, so X when Z = -1.175.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1.175 = \frac{X - 60}{3.2}[/tex]
[tex]X - 60 = -1.175*3.2[/tex]
[tex]X = 56.24[/tex]
88th percentile:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1.175 = \frac{X - 60}{3.2}[/tex]
[tex]X - 60 = 1.175*3.2[/tex]
[tex]X = 63.76[/tex]
The interval containing the middle-most 76% of sample means is between 56.24 and 63.76.
plzzzzzzzzzzz help i will give brainliest
Answers
Answer:
Below.
Step-by-step explanation:
IQR is the same
Number of data points is the same.
Mode - can't tell
Range - different
First quartile - same
Median - different.
John has a $2, $1, $0.50, $0.25, $0.10, and $0.05 coin in his pocket. How many different sums of money can he make?
Answers
Answer:
64
Step-by-step explanation:
the different sum of money is 64
John can make 6 different sums of money. He can make $0.05 from $2, $0.15 from $1, $0.40 from $0.50, $0.90 from #0.25, $1.90 from $0.10, and $3.90 from $0.05 coins
How many different sums of money can he make?To discover the different sums of money John can make, we are able to utilize a strategy called "coin alter" or "category" issue.
John has a $2, $1, $0.50, $0.25, $0.10, and $0.05 coin in his pocket
Step 1: Begin with a purge entirety (0).
Step 2: Include each coin group in its entirety, one at a time.
Step 3: Rehash Step 2 for all possible combinations of coins.
Let's go through the method:
With $0.05 coin: total sum = (+ $0.05) = $0.05
With $0.10 coin: total sum = ($0.05 + $0.10) = $0.15
With $0.25 coin: total sum = ($0.15 + $0.25) = $0.40
With $0.50 coin: total sum = ($0.40 + $0.50) = $0.90
With $1 coin: total sum = ($0.90 + $1) = $1.90
With $2 coin: total sum = ($1.90 + $2) = $3.90
Presently, John can make the following different sums of money from the coins:
$0.05
$0.15
$0.40
$0.90
$1.90
$3.90.
There are 6 diverse wholes of cash John can make.
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Subtract.
7x2-5x+3
-(2x2 + 7X - 4)
Answers
Answer:
5x^2-12x+7
Step-by-step explanation:
7x^2-5x+3-(2x^2 + 7X - 4)
Distribute the minus sign
7x^2-5x+3 - 2x^2 - 7X + 4
Combine like terms
5x^2-12x+7
Answer:
-12x + 17
Step-by-step explanation:
hope this helps!
a display order of numbers are called
Answers
Answer:
I think
A display order of numbers are called sequences.
Determine the quadrant in which the terminal side of the given angle lies. -750°
Answers
Answer:
Quadrant 4
Step-by-step explanation:
If the given angle was positive, then we go clockwise.
But it's negative so we go counterclockwise.
An alternative way of graphing
Quadrant 1 is 0-90°
Quadrant 2 is 90-180°
Quadrant 3 is 180-270°
Quadrant 4 is 270-360°
Subtract the given angle by 360 until no longer possible
750 - 360 = 390 390 - 360 = 30
Remember that this was originally a negative angle
Instead of going clockwise to quadrant 1, we go counterclockwise to quadrant 4, ending up at 330°
please help brainliset
Answers
Answer:
8.5
Step-by-step explanation:
Answer:
5/2
Step-by-step explanation:
Since MR=MR and XM=MY and angle XMR = angle RMY,
then triangle XMR is congruent to triangle RMY by SAS postulate
Therefore, XR has to be equal to RY.
Making 6x+2=17
subtracting both sides by 2 gives you 6x=15
then dividing both sides by 6 gives you x=15/6
simplifying this fraction gives you x=5/2
Hope this helps.
translate the following into an expression: a increased by b%
Answers
Answer:
Step-by-step explanation:
a + ab/100
find the missing angles
Answers
Answer:
all answer are in given solution
Please help! There is 2 questions in this pic! Thank you so much to whoever helps me
Answers
Answer:
[tex]{ \sf{thats \: it}}[/tex]
ans |-13-17|=30
|-30|=30
Assume that the matrices below are partitioned conformably for block multiplication. Compute the product.
[I 0] [W X]
[K I] [Y Z]
Answers
Multiplying block matrices works just like multiplication between regular matrices, provided that component matrices have the right sizes.
[tex]\begin{bmatrix}\mathbf I&\mathbf 0\\\mathbf K&\mathbf I\end{bmatrix}\begin{bmatrix}\mathbf W&\mathbf X\\\mathbf Y&\mathbf Z\end{bmatrix} = \begin{bmatrix}\mathbf{IW}+\mathbf{0Y}&\mathbf{IX}+\mathbf{0Z}\\\mathbf{KW}+\mathbf{IY}&\mathbf{KX}+\mathbf{IZ}\end{bmatrix}[/tex]
[tex]\begin{bmatrix}\mathbf I&\mathbf 0\\\mathbf K&\mathbf I\end{bmatrix}\begin{bmatrix}\mathbf W&\mathbf X\\\mathbf Y&\mathbf Z\end{bmatrix} = \begin{bmatrix}\mathbf W+\mathbf 0&\mathbf X+\mathbf 0\\\mathbf{KW}+\mathbf Y&\mathbf{KX}+\mathbf Z\end{bmatrix}[/tex]
[tex]\begin{bmatrix}\mathbf I&\mathbf 0\\\mathbf K&\mathbf I\end{bmatrix}\begin{bmatrix}\mathbf W&\mathbf X\\\mathbf Y&\mathbf Z\end{bmatrix} = \begin{bmatrix}\mathbf W&\mathbf X\\\mathbf{KW}+\mathbf Y&\mathbf{KX}+\mathbf Z\end{bmatrix}[/tex]
(I assume I is the identity matrix and 0 is the zero matrix.)
I need help completing this problem ASAP
Answers
Answer:
7x sqrt(2) - 2 sqrt(2)
Step-by-step explanation:
5x sqrt(2) - 2 sqrt(2) + 2x sqrt(2)
Combine like terms
5x sqrt(2) + 2x sqrt(2) - 2 sqrt(2)
7x sqrt(2) - 2 sqrt(2)
There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm. The second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.04 cm. Acceptable corks have diameters between 2.9 cm and 3.1 cm. What is the probability that the first machine produces an acceptable cork
Answers
Answer:
0.6827
Step-by-step explanation:
Given that :
Mean, μ = 3
Standard deviation, σ = 0.1
To produce an acceptable cork. :
P(2.9 < X < 3.1)
Recall :
Z = (x - μ) / σ
P(2.9 < X < 3.1) = P[((2.9 - 3) / 0.1) < Z < ((3.1 - 3) / 0.1)]
P(2.9 < X < 3.1) = P(-1 < Z < 1)
Using a normal distribution calculator, we obtain the probability to the right of the distribution :
P(2.9 < X < 3.1) = P(1 < Z < - 1) = 0.8413 - 0.1587 = 0.6827
Hence, the probability that the first machine produces an acceptable cork is 0.6827
There is 3m wide path around a circular cricket ground having the diameter of 137 m. Find the area of the path.
Answers
Answer:
1320 m^2
Step-by-step explanation:
area of ground = π r ^2
= (22/7) × (137/2)^2
= 14,747.0714286 m^2
area of ground and path
=( 22/7)(143/2)^2
= 16,067.0714286 m^2
area of path
=16,067.0714286 -14,747.0714286
= 1320 m^2
note :
r = radius = diameter /2
area of a circle = π r^2
diameter of circle created with path and ground = 137 + 2 × width of path
= 137 + 2× 3 = 143 m
Mrs. Gomez has two kinds of flowers in her garden. The ratio of lilies to daisies in the garden is 5:2
If there are 20 lilies, what is the total number of flowers in her garden?
Answers
Answer:
28
Step-by-step explanation:
5 : 2
since this is a simplified ratio, they have a common factor. let's say it is 'x'
so now :
5x : 2x
we know that 5x is lilies, and we also know that she has 20 lilies, so:
5x = 20
x = 4
the daisies would be 2x so 2*4 = 8
total flowers is 20 + 8
28
An 8 sided die, which may or may not be a fair die, has 4 colors on it; you have been tossing the die for an hour and have recorded the color rolled for each loss. What is the probability you will roll a purple on your next toss of the die? Enter your answer as a simplified fraction or a decimal rounded to four decimal places.
Red Purple Yellow Orange
44 37 41 21
Answers
Answer:
0.2587 = 25.87% probability you will roll a purple on your next toss of the die.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In an experimental probability, which is the case in this question, the number of outcomes is taken from previous experiments.
In this question:
44 + 37 + 41 + 21 = 143 tosses.
37 purple.
What is the probability you will roll a purple on your next toss of the die?
[tex]p = \frac{37}{143} = 0.2587[/tex]
0.2587 = 25.87% probability you will roll a purple on your next toss of the die.
Find the length of the other two sides isosceles right triangle
Answers
Answer:
x=5 and h=5*sqrt(2)
Step-by-step explanation:
It's an isosceles right triangle, x=5. Use Pythagoras and compute h
what is the answer for this question?
1. Dayne has three investment portfolios: A, B and C. Portfolios A, B and C together are worth a total of $175000, portfolios A and B together are worth a total of $143000, while portfolios A and C together are worth a total of $139000.
Use Cramer’s Rule to find the value of each portfolio.
Answers
Answer:
The correct answer is:
Portfolio A = $107,000
Portfolio B = $36,000
Portfolio C = $32,000
Step-by-step explanation:
According to the question,
[tex]A+B+C=175000[/tex]...(1)
[tex]A+B = 143000[/tex]...(2)
[tex]A+C=139000[/tex]...(3)
Now,
From (1) and (2), we get
⇒ [tex]Portfolio \ C = (1)-(2)[/tex]
[tex]=175000-143000[/tex]
[tex]=32000[/tex]...(4)
From (1) and (3), we get
⇒ [tex]Portfolio \ B =(1)-(3)[/tex]
[tex]=175000-139000[/tex]
[tex]=36000[/tex]...(5)
From (1), (4) and (5), we get
⇒ [tex]Portfolio \ A = (1)-(4+5)[/tex]
[tex]=175000-(36000+32000)[/tex]
[tex]=175000-68000[/tex]
[tex]=107000[/tex]
Thus the above is the correct answer.
d(v)=45, d(v)=1.1v+0.6v^2
Answers
Step-by-step explanation:
d(v)=1.1(45)+0.6(45)²
=1.1(45)+0.6(2025)
=49.5+1215
=1264.5
An airline charges the following baggage fees: $20 for the first bag and $40 for the second. Suppose 54% of passengers have no checked luggage, 25% have only one piece of checked luggage and 21% have two pieces. We suppose a negligible portion of people check more than two bags.
a) The average baggage-related revenue per passenger is: $___.
b) The standard deviation of baggage-related revenue is: $____.
c) About how much revenue should the airline expect for a flight of 120 passengers?
Answers
[tex]f(x)=e^{3x} .sinx[/tex] . tính [tex]d^{2} f(0)[/tex]
Answers
Answer:
6
Step-by-step explanation:
đạo hàm cấp 2 của f(x) rồi thế 0 vào
f(x) = 4-x2 and g=(x)=2x+5 what is the value of (f(g(-2))
Answers
Answer:
f(g(-2)) = 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Functions
Function NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
Identify
f(x) = 4 - x²
g(x) = 2x + 5
Step 2: Find g(-2)
Substitute in x [Function g(x)]: g(-2) = 2(-2) + 5Multiply: g(-2) = -4 + 5Add: g(-2) = 1Step 3: Find f(g(-2))
Substitute in x [Function f(x)]: f(g(-2)) = 4 - (1)²Evaluate exponents: f(g(-2)) = 4 - 1Subtract: f(g(-2)) = 3PLS ANSWER FAST!!! IM GONNA FAIL!!!
Mike and his friends bought cheese wafers for $2 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $25 to buy a total of 20 packets of wafers of the two varieties.
Part A: Write a system of equations that can be solved to find the number of packets of cheese wafers and the number of packets of chocolate wafers that Mike and his friends bought at the carnival. Define the variables used in the equations. (5 points)
Part B: How many packets of chocolate wafers and cheese wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
Answers
Step-by-step explanation:
p-cheese wafers
q-chocolate wafers
p2 + q1 = $25
5(2) + 15(1) = $25
Just used numbers that added up to 20 starting from 2 going up
Please help explanation need it
Answers
Answer:
[tex] \cos(z) = \frac{30}{34} [/tex]
Select the correct expressions and value.
Identify the expressions and the value that are equivalent to 6 times 5 squared.
5x 6²
6 x 5
192
6 x 5 x 5
6x5x2
150
6 + 5 x 5
Reset
Next
Answers
Answer:
✔️6 × 5²
✔️6 × 5 × 5
✔️150
Step-by-step explanation:
6 times 5 squared is written as 6 × 5²
Thus:
6 × 25 = 150
Evaluate each of the expressions given to determine whether they are equivalent to 150 or not
✔️5 × 6² = 5 × 36 = 180 (NOT EQUIVALENT)
✔️6 × 5² = 6 × 25 = 150 (EQUIVALENT)
✔️192 ≠ 150 (NOT EQUIVALENT)
✔️6 × 5 × 5 = 6 × 25 = 150 (EQUIVALENT)
✔️6 × 5 × 2 = 6 × 10 = 60 (NOT EQUIVALENT)
✔️150 = 150 (EQUIVALENT)
✔️6 + 5 × 5 = 6 + 25 = 31 (NOT EQUIVALENT)
Which key correctly represents the information below? A. 11 | 2 = 12 B. 1 | 2 = 12 C. 11 | 2 = 112 D. 11 | 2 = 13
Answers
Answer:
The answer is (B) 1/2=12
Which of these figures has rotational symmetry?
O A.
O B.
C.
O D.
Answers
The figure has rotational symmetry from the given options is shown in Figure B.
What is rotational symmetry?When a figure is rotated (by a certain amount) about a set point on its surface (often the center), and retains its original appearance, it is said to have rotational symmetry.
According to the given question,
We have the given options in this question:
Assuming that the problem in this instance does not require full rotation (because after full rotation, any figure appears to itself when it returns to its original location as it did before), the first figure that possesses rotational symmetry can be chosen.
It is because you obtain the same figure whether you rotate the first figure by a quarter, half, or quarter and a half rotation. For any of the other stated figures, it won't occur (you can imagine those figures rotating, and then will notice that only option B has rotation symmetry for other angles in addition to full rotation).
Therefore, the figure from the listed figures which has rotational symmetry is Figure B.
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356 miles in 5 days
is a:
Unit Rate
Unit Price
Ratio
Rate
Answers
9514 1404 393
Answer:
Rate
Step-by-step explanation:
Since there are no currency units involved, it is not a price or unit price.
Since the denominator (days) is not 1, it is not a unit rate.
The usual wording for a ratio is "to" rather than "in", so we probably would not say this is a ratio. Though, the usual reason for expressing the numbers this way is to indicate we might be interested in their ratio.
There is time involved, so it is reasonable to call this a "rate," which is usually the ratio of some quantity to the time associated with that quantity.
