Answer:
The regression equation for the winter rainy days is "Humidity = (β0 + β5) + β1Temperature".
Step-by-step explanation:
Given:
Humidity = β0 + β1Temperature + β2Spring + β3Summer + β4Fall + β5Rain + ε ...........(1)
Since there can be only one of spring, summer,fall, and winter at a point in time or in a season, we will have the following when there are winter rainy days:
Spring = 0
Summer = 0
Fall = 0
Rain = 1
Substituting all the relevant values into equation (1) and equating ε also to 0, a reduced form of equation (1) can be obtained as follows:
Humidity = β0 + β1Temperature + (β2 * 0) + (β3 * 0) + (β4 * 0) + (β5 * 1) + 0
Humidity = β0 + β1Temperature + 0 + 0 + 0 + β5 + 0
Humidity = (β0 + β5) + β1Temperature
Therefore, the regression equation for the winter rainy days is "Humidity = (β0 + β5) + β1Temperature".
The regression equation for winter rainy days is
Humidity = β0 + β5 + β1Temperature
The regression model is given as:
Humidity = β0 + β1Temperature + β2Spring + β3Summer + β4Fall + β5Rain + ε
To determine the regression equation for winter rainy days, we consider that:
[tex]Rain = 1[/tex]
This also means that:
[tex]Spring = 0[/tex]
[tex]Summer = 0[/tex]
[tex]Fall = 0[/tex]
ε = 0
Because each of these seasons can only happen one at a time, and the current season is winter
So, the regression equation becomes
Humidity = β0 + β1Temperature + (β2 * 0) + (β3 * 0) + (β4 * 0) + (β5 * 1) + 0
Evaluate the products
Humidity = β0 + β1Temperature + 0 + 0 + 0 + β5 + 0
The sum of 0 is 0. So, we have:
Humidity = β0 + β1Temperature + β5
Rewrite as:
Humidity = β0 + β5 + β1Temperature
Hence, the regression equation for winter rainy days is
Humidity = β0 + β5 + β1Temperature
Read more about regression equations at:
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The amount of workers varies inversely with the time, in days, to complete a project. Five workers can complete a certain project in 24 days. How many workers will be needed to complete the project in 15 days?
9514 1404 393
Answer:
8
Step-by-step explanation:
The number of days has gone down by a factor of 15/24. The number of workers is inversely proportional, so must increase by a factor of 24/15 = 8/5.
(5 workers) × (8/5) = 8 workers
8 workers are needed to complete the project in 15 days.
Use the following table to find the value of h '(2) if h(x) = f[g(x)]:
x 2 3 4
f(x) 5 1 6
g(x) 4 2 3
f'(x) 1 7 8
g'(x) 3 1 2
(A) 6
(B) 24
(C) 20
(D) 3
Answer:
The values of g(x): 2,8,2. So now what would the answer be then
Step-by-step explanation: h'(1)=f''(g(1))g'(1)=6f'(2)=6*5=30
Ten centimeters is what fraction of one meter?
Answer:
please give me brainlist and follow
Step-by-step explanation:
1/10 of 1 m = 10 cm.
Let X denote the number of alpha particles emitted by a sample of Barium-133 in one tenth of a second. The following 50 observations of X were taken with a Geiger counter in a fixed position:
7 4 3 6 4 4 5 3 5 3
5 5 3 2 5 4 3 3 7 6
6 4 3 11 9 6 7 4 5 4
7 3 2 8 6 7 4 1 9 8
4 8 9 3 9 7 7 9 3 10
The experimenter is interested in determining whether X has a Poisson distribution.
a. What is λMLE for the parameter λ of a Poisson distribution? Compute λMLE for the above data.
b. Partition the set of outcomes for this experiment into the sets A1 = {0, 1, 2, 3}, A2 = {4}, A3 = {5}, A4 = {6}, A5 = {7}, and A6 = {8,9,10,...}. Assuming X ∼ Poisson(λMLE), compute P(X ∈ Ai) for i = 1,...,6.
c. Use a Chi-square test with the above partition to test:
H0 : X ∼ Poisson(λMLE),
H1 : X ∼/ Poisson(λMLE).
Answer:
can you further elaborate with a picture?
Step-by-step explanation:
Let f(x) = 5x ^ 4 - 2x ^ 2 - 8x + 3 and g(x) = - 7x ^ 4 + 6x ^ 3 + 10x ^ 2 - x + 4. What is f(x) + g(x) ?
[tex]f(x) + g(x) = - 2 {x}^{4} + 6 {x}^{3} + 8{x}^{2} - 9x + 7[/tex]
5 Show
for
on the number line below.
7/5 - 5/5 on the number line
Answer:
2/5
<|----|----O----|----|----|----|----|----|-> *scale of 1/5 per |
0 1/5 2/5 3/5 4/5 5/5 6/5 7/5
Step-by-step explanation:
7/5 - 5/5 = 2/5
A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean life of 95 months with a standard deviation of 5 months. If the claim is true, what is the probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
Answer:
The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
P(X⁻ ≥ 96.3) = 0.0087
Step-by-step explanation:
Step(i):-
Given that the mean of the Population = 95
Given that the standard deviation of the Population = 5
Let 'X' be the random variable in a normal distribution
Let X⁻ = 96.3
Given that the size 'n' = 84 monitors
Step(ii):-
The Empirical rule
[tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{96.3 - 95}{\frac{5}{\sqrt{84} } }[/tex]
Z = 2.383
The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
P(X⁻ ≥ 96.3) = P(Z≥2.383)
= 1- P( Z<2.383)
= 1-( 0.5 -+A(2.38))
= 0.5 - A(2.38)
= 0.5 -0.4913
= 0.0087
Final answer:-
The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
P(X⁻ ≥ 96.3) = 0.0087
Most water-treatment facilities monitor the quality of their drinking water on an hourly basis. One variable monitored is pH, which measures the degree of alkalinity of acidity in the water. A pH below 7.0 is acidic, one above 7.0 is alkaline, and a pH is 7.0 is neutral. One water-treatment plant has a target pH of 8.5. The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively. (a) Set up the null and alternative hypotheses to test whether the mean pH value mu of the water from the plant differs from 8.5. (b) What test statistic should be used based on the available sample information
Answer:
a) The null hypothesis is [tex]H_{0}: \mu = 8.5[/tex] and the alternate hypothesis is [tex]H_{a}: \mu \neq 8.5[/tex]
b) A test statistic of -2.06 should be used.
Step-by-step explanation:
Question a:
One water-treatment plant has a target pH of 8.5.
At the null hypothesis, we test if the mean is close to the target. So, the null hypothesis is:
[tex]H_{0}: \mu = 8.5[/tex]
At the alternate hypothesis, we test if it differs from 8.5, so the alternate hypothesis is:
[tex]H_{a}: \mu \neq 8.5[/tex]
Question b:
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
8.5 is tested at the null hypothesis:
This means that [tex]\mu = 8.5[/tex]
The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively.
This means that [tex]n = 17, X = 8.42, \sigma = 0.16[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{8.42 - 8.5}{\frac{0.16}{\sqrt{17}}}[/tex]
[tex]z = -2.06[/tex]
A test statistic of -2.06 should be used.
What is the volume of the tank?
Answer:
find the area of the base which is as circle
Base area = pi * R^2 = 3.14 * 400 = 1256
now find the volume by multiplying the base and the height of the tank
Volume = 1256*35= 43960
Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
Select all statements that must be true.
Step-by-step explanation:
the third Statement is true, fourth statement is trueand the fifth statement is also true because basically we need to find linear scale factor
Options 2nd, 3rd and 4th are correct options.
What are similar objects?Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
Given that, Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
As we know, in similar objects, the ratio of corresponding sides are equal.
Therefore, AB/A'B' = BC/B'C' = CD/C'D' = AD/A'D'
Hence, Options 2nd, 3rd and 4th are correct options.
For more references on similarity, click;
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There are 5 yellow pens 6 blue pens 9 green pens she picks 1 at random and does not replace it then she picks one pen at random and does not replace it, then she another pen.
Answer:
Step-by-step explanation:
Which shape has 4 lines of symetry?
A. Equilateral Triangle
B. Thin rhombus
C. rectangle
D. rhombus that is thick as a sqaure
Answer:
My best answer would be D since a square is not on here
Step-by-step explanation:
square
So the square has four lines of symmetry.
The rectangle has only two, as it can be folded in half horizontally or vertically
an equilateral triangle has three lines of symmetry.
Answered by; The One and Only #DRIPPQUEENMO
If the volume of the polyhedron is 147π in^3, the value of x is ___ cm.
Answer:
x = 6.44 cm
Step-by-step explanation:
Given that,
Volume, V = 147π in³
Height, h = 9 cm = 3.54 in
We need to find the value of x. The formula of this polyhedron is given by :
[tex]V=\pi r^2 h\\\\r=\sqrt{\dfrac{V}{\pi h}} \\\\r=\sqrt{\dfrac{147\pi }{\pi \times 3.54}} \\\\r=6.44\ in[/tex]
or
r = 16.35 cm
So, the value of x is equal to 6.44 cm.
Once u type the answer please type how u got it thanks<3
Answer:
[tex]2\frac{3}{4}[/tex]
Step-by-step explanation:
Let's bring them to the same denominator: 4
[tex]2\frac{1}{4} = 2 + \frac{1}{4} = \frac{2\cdot 4}{4} + \frac{1}{4} = \frac{8}{4} + \frac{1}{4} = \frac{9}{4}\\~\\5 = \frac{5\cdot 4}{4} = \frac{20}{4}\\~\\5 - 2\frac{1}{4} = \frac{20}{4} - \frac{9}{4} = \frac{11}{4} = \frac{8}{4} + \frac{3}{4} = \frac{2\cdot 4}{4} + \frac{3}{4} = 2 + \frac{3}{4} = 2\frac{3}{4}[/tex]
2. The weights of 14 students are as follows (in lbs.)
90, 100, 85, 110, 112, 120, 94, 87, 88, 103, 99, 90, 90, 88
a. Find all 3 measures of center for the following data set.
b. Create a dot plot by making a number line with an
appropriate scale (It does not need to start at O and go
up one by one)
c. Find the MAD and IQR of this data set.
d. Create a box plot and identify the minimum, Q1, Q2, Q3, and
maximum
Answer:
mad- 8.9796
iqr- 15
q1- 88
q2- 92
q3- 103
minimum- 85
maximum- 120
Step-by-step explanation:
the explanation is the picture **sorry i couldn't help with the dot plot**
good luck :)
i hope this helps
brainliest would be highly appreciated
have a nice day!
please help me
Which would be the best method to use to solve the following equations. Explain your reasoning.
Use each method only once.
Methods:
Factoring
Square root Property
Completing the Square
Quadratic Formula
1. 3x^2 - 192 = 0
Method:
Why:
2. x^2-x-6=0
Method:
Why:
3. x^2-6x-7=0
Method:
Why:
4. x^2-17x-7=0
Method:
Why:
Answer:
The values of x are +8 and -8
Step-by-step explanation:
1. The given equation is :
[tex]3x^2 - 192 = 0[/tex]
We need to find the value of x.
It can be done as follows :
[tex]x^2=\dfrac{192}{3}\\\\x^2=64\\\\x=\pm 8[/tex]
So, the values of x are +8 and -8.
If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
O A.
3
OB.
4
O C.
5
OD.
6
Reset
Next
Answer:
OD. 6
Step-by-step explanation:
The effect of the time of day a science class is taught on test scores is being
studied in an experiment. Which of these is most likely to be an extraneous
factor that could also affect test scores?
A. Student clothing
B. Color of the school hallways
C. Principal of the school
D. Length of class period
Answer:D
Step-by-step explanation:
The effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.
What is a test analysis?
A test score is a piece of data, typically a number, that describes how well a test-taker performed. It is "a summary of the evidence contained in an examinee's replies to the test items that are connected to the construct or constructs being tested," according to one formal definition.
Given that the effect of the time of day a science class is taught on test scores is being studied in an experiment.
The time of the class periods is affected by the length of the class period. The length of the class period of one subject should be optimum so that students get the concepts easily without getting bored.
Therefore, an effect of the time of day a science class is taught on test scores being studied in an experiment will be the length of the class period. The correct option is D.
To know more about a test analysis follow
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The volume of the polyhedron is ______ cm3.
Answer:
50.80 cm^3
Step-by-step explanation:
the polyhedron is a rectangular pyramid
Volume of a rectangular pyramid = 1/3 x ( width x height x length)
1/3 ( 4 x 5 x 3) = 20 inches
we need to convert inches to cm
1 in = 2.54 cm
20 x 2.54 = 50.80 cm^3
A parrot is sold for 30% off the original price. If the sale
price of the parrot was $56, what was its original price?
Answer:
The original price of the parrot was $16.8
Step-by-step explanation:
Hoped this helped :)
Answer:
Just look this up and you shall get the answer:)
Step-by-step explanation:
Use the correct order of operation to solve the following problem 3x (50 - 6^2) ÷ 2 =
Answer: 21
Step-by-step explanation:
Ok so first of all the numbers in the parentheses go first.
So 6 to the power of 2 (6^2) would be 6x6 which equals 36
50-36=14
After that you just keep rewriting the problem after every step.
Since the 3 is outside of the parentheses, you would multiply it with the 14
3x14=42
Finally 42÷ 2=21
3x (50 - 6^2) ÷ 2 =
3(14)÷ 2
42÷ 2= 21
Hope this helps (:
Btw sorry if it's a bit confusing but the answer is 21
What are the terms in the expression 6r + 5y +3
Step-by-step explanation:
Your que. isn't very clear
There were 16 skittles in a bag there were 3 yellow, 4 red, 2 purple, 6 orange, and 1 green. What is the probability of pulling a red skittle (simplify your answer). The probability of a red is /
What is the surface area of the given figure?
A.2,520 cm2
B.2,792 cm2
C.4,080 cm2
D.2,280 cm2
Answer:
D. 2,280 cm²
Step-by-step explanation:
Surface area of triangular prism = bh + (S1 + S2 + S3)*L
Where,
b = 24 cm
h = 10 cm
S1 = 26 cm
S2 = 24 cm
S3 = 10 cm
L = 34 cm
Plug in the values
Surface area = 24*10 + (26 + 24 + 10)*34
= 240 + 2,040
= 2,280 cm²
solve the following proportion for v
[tex] \frac{ v}{13} = \frac{8}{11} [/tex]
round your answer to the nearest tenth
2.
Which expression is equivalent to Xy 2/9
Answer:
4/18 or divide both by anything or times it
Step-by-step explanation:
Mary wants to fill in a cylinder vase. At the flower store they told her that the vase should be filled 2/3 for the flowers to last the longest. Her cylinder vase has a radius of 3in and a height of 8in. How much water should Mary pour into the vase?
the answer is 24 water pour into the vase
23 points!! Pls HELP Will mark brainliest if correct will report if answer is unrelated.
Answer:
Less than
Step-by-step explanation:
The span of student ones box plot is going farther in the negatives then student two
Answer:
less than
Step-by-step explanation:
student 1 is 64 and student 2 is 65
Which expression best matches the statement:
Four times the sum of three and two.
4x3+2
4x3x2
(4x3) + 2
4 (3+2)
Answer:
4(3+2)
Step-by-step explanation:
3 and 2 are added beforehand, then multiplied by 4, which is why they are in parenthesis.
80 POINTS!!! WILL VENMO $5
1.Chest Elementary School is having a carnival to raise money for new computers and you have been volunteered to construct the cylindrical dunk tank. The tank must be 6 feet across and 7 feet high
Part A) If the dunk tank will be constructed of high-strength plastic sheets, how much plastic sheeting will you need for the sides and bottom of the tank?
Part B) What size (length and width) of rectangular sheet do you need to order for the sides assuming the tank will have only one seam? What diameter of the circle will you order of the tank?
Part C) to prevent injury to the participants, you need to cover the top edge of the tank with rubber edging. How much rubber edging do you need?
Part D)How many gallons of water are needed to fill the dunk tank to a depth of 4 feet and 8 inches to allow the participants to stand up after dunking without being underwater?
Part E)if the water flow out of the fill hose flows at 11.5 liters per minute, how many hours will it take to fill the dunk tank to the above depth
Answer:
WAKA WAKA AFRICAAAA AFRIKA BAM BAM MAMAMAMAMAMAMAMAMAM.A.
So did I get them 5 bucks?
