There were 84 runners to start a race. In the first half of the race, 1/4 of them dropped out. In the second half of the race, 1/3 of the remaining runners dropped out. How many runners finished the race?

Answers

Answer 1
Answer:

Answer:

1/3

.................


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An ordinary regression model that treats the response Y as normally distributed is a special case of a GLM, with normal random component and identity link function. 1. With a GLM. Y does not need to have a normal distribution and one can model a function of the mean of Y instead of just the mean itself, but In order to get the maximum likelihood estimates the variance of Y must be constant at all values of predictors. ii. The Pearson residual e_inty_i-muhatiysqrt(muhat_) for a GM has a large-sample standard normal distribution (a)) True False, (w) True; (b)) True 00 True True (co False 0 false, Oll) False; IdFalse 00 True (1) False;

Answers

An ordinary Regression model that treats the response Y is (a) True False, (w) True

What is Regression?

A statistical method called regression links a dependent variable to one or more independent (explanatory) variables.

A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable.

A) Models for numerical response variable, like ANOVA and linear regression are special cases of GLMs

for these model the following holds

1. Random component has a normal distribution

2. Systematic component α+β₁x₁+β₂x₂+...........βₓxₓ

3. link function = identity (g(µ)=µ)

GLMs can generalise these models with response Y as normally distributed, hence the statement is True

B) With a GLM. Y does not need to have a normal distribution and one can model a function of the mean of Y instead of just the mean itself. but in order to get ML estimates the variance of Y must be small. This small variance of Y is the reason for ML estimator to be the best one. hence the statement is false.

An ordinary Regression model that treats the response Y is (a) True False, (w) True

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Write down the general zeroth order linear ordinary differential equation. Write down the general solution.

Answers

The zeroth derivative of a function y(x) is simply the function itself, so the zeroth order linear ODE takes the general form

y(x)=f(x)

whose solution is f(x).

Find the domain of the function. (enter your answer using interval notation.) f(x) = x + 3 if x < −1 −2x if |x| ≤ 1 −2 if x > 1

Answers

The domain of the function is the union of all of the "if" parts of the function definition:

... (-∞, -1) ∪ [-1, 1] ∪ (1, ∞) = (-∞, ∞)

Erik often runs his laptop computer on battery power. He knows that thelonger he runs on battery power, the less power the battery will have.
A. The number of hours the battery will run is a function of the
number of computers Erik has.
B. Erik's choice of a laptop computer is a function of the amount of
power the battery will hold.
C. The amount of power in the battery is a function of the time Erik
runs the computer on the battery.

Answers

Answer:

C

Step-by-step explanation:

Because the more power the more battery. Therefore it is a function of time.

C!
I’ve had this question before! Brainlist me!! :) xoxo

A popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags have an average weight of 1,040 grams with a standard deviation of 25 grams. 1.) Fill out the normal distribution curve for this situation. 2.) What percentage of people would receive a bag that had a weight greater than 1115 grams?

Answers

Answer:

Step-by-step explanation:

Given that a popcorn company builds a machine to fill 1 kg bags of popcorn. They test the first hundred bags filled and find that the bags have an average weight of 1,040 grams with a standard deviation of 25 grams.

i.e. Sample mean = 1040 and

Sample std dev s = 25 gm

Sample size n = 100

Hence by central limit theorem we have the sample mean follows a normal distribution with mean =1040 and std dev = s = 25 gm

\bar X = N(1040,25)

Normal curve would be with mean 1040 and std deviatin 25

b) P(X>1115)

= 1-0.9987

=0.0013

i.e. 0.13% would receive a bag that had a weight greater than 1115 grams

Select all the correct answers.Which expressions are equivalent to the given expression.
y^-8y^3x^0x^-2​

Answers

Answer:

x^(-2)y^(-5)

Step-by-step explanation:

The options are not given; however, the question can still be solved

Given

y^(-8)y^3x^0x^-2

Required

Simplify

Start by rewriting the expression

y^(-8) * y^3 * x^0 * x^(-2)

Apply the following laws of indices: a^x * a^y = a^(x+y)

This gives:

y^(-8+3) * x^(0-2)

Evaluate the exponents

y^(-5) * x^(-2)

x^(-2)y^(-5)

Hence, x^(-2)y^(-5) is equivalent to y^(-8)y^3x^0x^-2

The expression which is equivalent to the exponential equation is x^(-2)y^(-5).

Given data:

The exponential form is an easier way of writing repeated multiplication involving base and exponents. It has a base and a power

The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.

The exponential expression is represented as y^(-8)y^(3)x^(0)x^(-2).

From the laws of exponents:

m^(a)*m^(b)= m^(a+b)

(m^(a))/(m^(b))= m^(a-b)

So, the expression is simplified as:

y^(-8)y^(3)x^(0)x^(-2)=x^(-2)y^(-5)

Hence, the equivalent expression is x^(-2)y^(-5).

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