This one number 4

What to do

In a multiple regression model, the error term e is assumed to be normally distributed. This means that option (d) "be normally distributed" is the correct answer.

In multiple regression, the error term (also known as the residual) represents the discrepancy between the observed values and the predicted values of the dependent variable. It captures the unexplained variation in the data.

The assumption of normal distribution for the error term is a fundamental assumption in multiple regression analysis. It implies that the errors follow a normal distribution with a mean of zero and a constant variance. This assumption allows for the use of statistical inference techniques and hypothesis testing based on the properties of the normal distribution.

Therefore, in a multiple regression model, the error term e is assumed to be normally distributed, which aligns with option (d) as the correct answer.

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Since both equations equal y they need to equal each other.

2x - 5 = -3x + 10

Add 3x to both sides:

5x -5 = 10

Add 5 to both sides

5x = 15

Divide both sides by 5

X = 3

Now solve for y by replacing x with 3:

Y = 2(3)-5 = 6-5 = 1

Y = -3(3)+ 10 = -9+ 10 = 1

Check: replace y with 1 and solve for x:

1 = 2x -5

Add 5 to both sides

6 = 2x

Divide both sides by 2

X = 3 ( True)

Answer:

Step-by-step explanation:

Let angle A = w - 15 degree , angle B = -w + 1 degree and angle X = w + 34 degrees then:

We know that the exterior angle of a triangle is equal to the sum of two interior opposite angles.

therefore, w + 34 = w - 15 + (-w +1)

w + 34 = w - 15 - w + 1

w = -15 - 34 = - 49 degrees

since angle cannot be negative

therefore w = 49 degrees

Answer:

B

Step-by-step explanation:

The correct option is option (C) .

Cluster Sampling is a type of probability sampling and other options are non- probability sampling examples .

Sampling :

Sampling is defined as a technique that selects individual members or subsets from a population to help determine characteristics of the population as a whole.

Croach and Housden postulate that a sample is a finite number taken from a large group for testing and analysis, and that the sample can be taken as representative of the group as a whole.

There are two main types of sampling:

i) probability sampling

ii) Non-probability sampling

A) probability sampling:

It is defined as the sampling technique which researchers use a related method to draw probability theory samples from a larger population.

The most important requirement for probabilistic sampling is that everyone in the population has a known equal chance of being selected.

Probability Samples:

1. Stratified Sampling: Stratified sampling is a type of sampling technique that divides the total population into smaller groups or strata to complete the sampling process. Hierarchies are formed based on some common characteristics of demographic data.

2. Cluster Sampling: Cluster sampling is a probabilistic sampling technique in which researchers divide a population into multiple groups (clusters) for research purposes. Researchers then select random groups using simple sampling techniques for data collection and data analysis.

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The decrease in diameter of the bar due to the applied load is -0.005434905d and the final diameter of the bar is 1.005434905d.

A compressive load of 80,000 lb is applied to a bar with a circular section of 0.75 in diameter and a length of 10 in.

if the modulus of elasticity of the bar material is 10,000 ksi and the Poisson's ratio is 0.3.

We have to determine the decrease in diameter of the bar due to the applied load.

Let d be the initial diameter of the bar and ∆d be the decrease in diameter of the bar due to the applied load, then the final diameter of the bar is d - ∆d.

Length of the bar, L = 10 in

Cross-sectional area of the bar, A = πd²/4 = π(0.75)²/4 = 0.4418 in²

Stress produced by the applied load,σ = P/A

= 80,000/0.4418

= 181163.5 psi

Young's modulus of elasticity, E = 10,000 ksi

Poisson's ratio, ν = 0.3

The longitudinal strain produced in the bar, ɛ = σ/E

= 181163.5/10,000,000

= 0.01811635

The lateral strain produced in the bar, υ = νɛ

= 0.3 × 0.01811635

= 0.005434905'

The decrease in diameter of the bar due to the applied load, ∆d/d = -υ

= -0.005434905∆d

= -0.005434905d

The final diameter of the bar,

d - ∆d = d + 0.005434905d

= 1.005434905d

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Answer:

180

Step-by-step explanation:

900/ 10= 90x 2= 180

haha very bad explaination but hope it helps <3

Answer:

180

Step-by-step explanation:

First let's write the problem out.

20% of 900 = 20%*900

20% can also be written out as .2

now all you need  do is multiply .2 by 900

This should get you 180

Answer: 3/52

Step-by-step explanation:

You want to pick a diamond jack, diamond queen or diamond king

There are only 3 of those so

P(DJ or DQ or DK) = 3/52        There are 3 of those out of 52 total

Answer:

area of parallelogram =base×height

132in²=16.5in×height

132in²/16.5in=height

8 in=height

Answer:

-18°F

Step-by-step explanation:

Starting temp = -12

Every hour temp drops by 3

Total elapsed hours = 2

3(2) = 6 total degrees dropped

-12 - 6 = -18 degrees F

Answer:

it will be -6f at 6:00am

Step-by-step explanation:

Answer:

-40

Step-by-step explanation:

Inputs are the x values and outputs are the y values. To find the output of a function, substitute the chosen value for x.

For instance, when the input is 5:

\(-7(5)-5\\-35-5\\-40\)

Then, the output is -40.

Answer:

43, it raises by 4 each time. good luck!

Step-by-step explanation:

Answer:

  A) 15 + s ÷ r = 10

Step-by-step explanation:

Choice A is the translation of the given statement.

_____

Additional comment

Both the English and its translation to the form in choice A should be understood to mean ...

  \(15 +\dfrac{s}{r} =10\)

There is no indication in either form of the expression that 15 should be part of the quantity that is divided by r.

Answer:

Hello! the answer is 3.......

I feel as though the question was a joke.. But no matter I will accept the points.

Anyway have a great day and take mental health breaks!

Answer:

the surface area of the regular pyramid is 169.19

Answer:

25 cashiers

Step-by-step explanation:

To solve this, you can multiply the number of cashiers at 10:00 am (20) by 1 1/4, which is the same as multiplying by 5/4.

20 x 5/4 = 25

So, there are 25 cashiers at 4:00 pm.

You can confirm this by dividing 25 by 5/4 to see if it equals 20:

25 * 4/5 = 20

Therefore, there are 25 cashiers at 4:00 pm.

In all cases, the probabilities are equal to 1/4, indicating that the probability of the intersection of events E, F, and G with any other event is the same.

To calculate the probabilities P(EF), P(EG), and P(FG), we need to determine the intersection of the events E, F, and G and divide it by the total number of possible outcomes, which is 4.

Event E = {1, 2}

Event F = {1, 3}

Event G = {1, 4}

To calculate P(EF), we need to find the intersection of E and F, which is the common element 1. Therefore, P(EF) = 1/4.

To calculate P(EG), we need to find the intersection of E and G, which is also the common element 1. Therefore, P(EG) = 1/4.

To calculate P(FG), we need to find the intersection of F and G, which is the common element 1. Therefore, P(FG) = 1/4.

In all cases, the probabilities are equal to 1/4, indicating that the probability of the intersection of events E, F, and G with any other event is the same.

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Let a ball be drawn from an urn containing four balls, numbered 1,2, 3, 4. Let E={1,2}, F={1,3}, and G={1,4}. If all four outcomes are assumed equally likely, then what is P(EF), P(EG), and P(FG)?

Answer:

x | -7      -5     -3  

y | -21    -15    -9

Step-by-step explanation:

y = 3x

If x = -7  then y = 3 × (-7) = -21

  x = -5  then y = 3 × (-5) = -15

  x = -3  then y = 3 × (-3) = -9

The expected number of pap smears that must be inspected before the first abnormality is found is 50, based on a probability of 2 percent or 0.02 as a decimal.

The probability of finding an abnormality in a single pap smear is 2 percent, or 0.02 as a decimal.

Let X be the number of pap smears that must be inspected before the first abnormality is found. X is a discrete random variable that follows a geometric distribution with probability of success p = 0.02.

The expected value of a geometric distribution with probability of success p is given by:

E(X) = 1/p

Therefore, the expected number of pap smears that must be inspected before the first abnormal one is found is:

E(X) = 1/0.02 = 50

So, we expect to inspect 50 pap smears before finding the first abnormal one on average.

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It is true that the expression √3 + 5  cannot be simplified

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

√3 + 5

The above expression is a combination of a radical expression and an integer

The radical expression √3 cannot be simplified

This means that the expression √3 + 5 cannot be simplified

Hence, the expression √3 + 5  cannot be simplified

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Complete question

Can √3 + 5 be simplified?

Yes or no

Answer:

3x-2y=13

Step-by-step explanation:

The value of both domain and range of this exponential function is (−∞,∞).

y = 2x-9

The domain of the function can be defined as all real numbers except the ones where the expression is undefined. In the case of 2x-9, there is no real number for which this expression is undefined. Therefore, a domain of this exponential function is (−∞,∞).

The range of the function is defined as the set of all valid y values. In this case, all real numbers are valid values of y. Therefore, the range of this exponential function is (−∞,∞).

Therefore, domain of y = 2x-9 is (−∞,∞) and range is also (−∞,∞).

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(a) To determine how fast the population is growing when it reaches 5 million people, we can substitute P(t) = 5 into the differential equation P'(t) = 0.06P(t). This gives us P'(t) = 0.06(5) = 0.3 million people per year. Therefore, the population is growing at a rate of 0.3 million people per year when it reaches 5 million people.

(b) To determine the population size when it is growing at a rate of 700,000 people per year, we can set P'(t) = 700,000 and solve for P(t). From the given differential equation, we have 0.06P(t) = 700,000, which implies P(t) = 700,000/0.06 = 11,666,666.67 million people. Therefore, the population size is approximately 11.67 million people when it is growing at a rate of 700,000 people per year.

(c) To find a formula for P(t), we can solve the differential equation P'(t) = 0.06P(t). This is a separable differential equation, and integrating both sides gives us ln(P(t)) = 0.06t + C, where C is the constant of integration. By exponentiating both sides, we get P(t) = e^(0.06t+C). Using the initial condition P(0) = 3, we can find the value of C. Substituting t = 0 and P(0) = 3 into the equation, we have 3 = e^C. Therefore, the formula for P(t) is P(t) = 3e^(0.06t).

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The absolute maximum value of the function f(x) on the interval [0,3] is 12, which occurs at x=3, and the absolute minimum value is 0, which occurs at x=0and x=1.

To find the absolute maximum and minimum values of the function ( f(x)=x(x-1)^{2} on the interval [0,3] we need to evaluate the function at its critical points and endpoints.

Critical Points:

To find the critical points, we need to determine where the derivative of the function is equal to zero or undefined.

First, let's find the derivative of the function:

f(x) = 3x^2 - 4x + 1

Setting f'(x)=0 gives us:

3x^2 - 4x + 1= 0

We can solve this quadratic equation by factoring or using the quadratic formula. In this case, the equation factors nicely:

(x-1) (3x-1)=0

Setting each factor equal to zero, we get two critical points:

x-1=0 ⇒ x=1

3x-1=0 ⇒ x= 1/3

Endpoints:

The interval we're interested in is

[0,3] so the endpoints are x=0 and x=3

Now, we evaluate the function at the critical points and endpoints to find the maximum and minimum values.

for x=0:

f(0) =0(0-1)^2=0

for x=1:

f(1) =1(1-1)^2=0

for x= 1/3:

f(1/3)= 1/3 (1/3-1)^2 =4/81

forx= 3:

f(3)= 3(3-1)^2=12

Therefore, the absolute maximum value of the function f(x) on the interval [0,3] is 12, which occurs at x=3, and the absolute minimum value is 0, which occurs at x=0and x=1.

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Step-by-step explanation:

Equation of a straight line

y = mx + c, m is the slope, and c the intercept

points (3,7) x = 3, y = 7, c = 1

7 = m × 3 + 1

7 = 3m + 1

3m = 7 - 1

3m = 6

m = 6/3

m = 2