If the correlation coefficient of two random variables X and Y
is 0, are X and Y certain to be
independent? Explain your reasons with proofs or examples
(Within 10 sentences)

True, free bilirubin is transported by the blood to the liver.

Macrophages begin the disposal of hemoglobin by separating the heme from the globin. They hydrolyze the globin into free amino acids, which can be used for energy-releasing catabolism or recycled for protein synthesis.

Bilirubin

Bilirubin is a red-orange compound that occurs in the normal catabolic pathway that breaks down heme in vertebrates. This catabolism is a necessary process in the body's clearance of waste products that arise from the destruction of aged or abnormal red blood cells.

Hemoglobin

Hemoglobin is a protein in your red blood cells that carries oxygen to your body's organs and tissues and transports carbon dioxide from your organs and tissues back to your lungs.

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Answer:

Median only

Step-by-step explanation:

I also go to k12 and did this quiz.

sorry if I'm already late

Answer:

Step-by-step explanation:

-1 3/4 = -1.75.

Test the claim that the proportion of people who own cats is significantly different than 70% at the 0.02 significance level. The p-value is 0.024.

The null and alternative hypotheses for the claim that the proportion of people who own cats is significantly different than 70% at the 0.02 significance level are:

H0: p = 0.7 (null hypothesis

)H1: p ≠ 0.7 (alternative hypothesis)

The test is a two-tailed test because the alternative hypothesis includes not equal to (<>) which means either p is less than 0.7 or greater than 0.7

Based on a sample of 500 people, 62% owned cats.

This means that the sample proportion, p = 0.62.

To calculate the p-value, we will use the z-test statistic.

The formula for calculating the z-test statistic is given as:

z = (p - P) / √(PQ/n) where P is the hypothesized proportion (P = 0.7), Q is the complement of P (Q = 1 - P), and n is the sample size.

Using the given values in the formula, we have; z = (0.62 - 0.7) / √(0.7 × 0.3 / 500) = -2.52

The p-value for a two-tailed test at 0.02 level of significance is obtained from the standard normal table.

The area in both tails beyond the z-score of 2.52 is 0.012.

Therefore, the p-value is:

p-value = 2 × 0.012 = 0.024

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The inverse of f is a function which takes any value x and divides it by 4, then adds 7 to the result.

The inverse of a function is the opposite of the original function, meaning that it takes the output of the original function and turns it back into the input. In this case, the original function is f(x)=1/4x+7. To find the inverse, we need to solve for x in the equation, which can be done by subtracting 7 from both sides and then multiplying both sides by 4. This gives us x=(x+7)/4, which is the inverse of the original function. To put it simply, the inverse of f takes any output of the original function, adds 7 to it, and then divides it by 4 to get the original input.

example;

If f(x)=1/4x+7 and x=3, then

f(3) = (1/4)3 + 7

7.75

The inverse of f is f^-1(x) = (x + 7) / 4.

If f^-1(7.75) = (7.75 + 7) / 4, then

f^-1(7.75) = 14.75 / 4

3.6875

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Answer:189 hours

Step-by-step explanation: 398 divided by 2 =199 -10 =189

(a) The mean number of buses arriving in any interval of minutes is λ = 1.

(b) The probability of buses arriving in a t-minute interval is P(X > 0) = 1 - P(X = 0), where X is a Poisson random variable with parameter λt.

(c) The probability of no buses arriving in a t-minute interval is P(X = 0) = \(e^{(-λt)}\) = \(e^{(-t)}\).

(d) The probability of at least one bus arriving in a t-minute interval is

P(X ≥ 1) = 1 - P(X = 0) = 1 - \(e^{(-t)}\).

To guarantee at least one bus with a certain percentage of probability, we need to solve the inequality:

where p is the desired probability. Solving for t, we get:

Therefore, the minimum wait time necessary to guarantee at least one bus with a probability of p is -ln(1-p) minutes.

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Answer:

$54.01

Step-by-step explanation:

All you have to do is $300.00-$245.99 .

Answer:

3/7

Step-by-step explanation:

Many children develop the ability to do simple arithmetic problems during their early childhood years, typically between the ages of 4 and 6. Correct option is a).

During this time, children start to understand basic mathematical concepts such as counting, addition, and subtraction. They may also begin to recognize and name numbers and use basic math vocabulary. However, it's important to note that every child develops at their own pace and some may show these skills earlier or later than others. It's also important for parents and caregivers to provide opportunities for children to practice and reinforce these skills through activities such as counting objects, playing number games, and solving simple math problems.

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The BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

BMI stands for Body Mass Index.

It's a measure of body fat based on height and weight that applies to both adult men and women.

BMI is an easy-to-perform screening tool for body fat levels that can help identify individuals who have health risks linked with excess body fatness.

It's important to keep in mind that the BMI measurement should not be used as a diagnostic tool for health conditions and is only one component in an overall evaluation of a person's health status.

Using the formula below, we can calculate the BMI of an 118-lb adult who is 5 feet 4 inches tall: BMI = (weight in pounds / (height in inches x height in inches)) x 703

First, we need to convert the height into inches:5 feet 4 inches = 64 inches

Next, we plug the values into the formula and solve for the BMI:

BMI = (118 / (64 x 64)) x 703BMI = (118 / 4,096) x 703BMI = 0.0288 x 703BMI = 20.2464

Therefore, the BMI of an 118-lb adult who is 5 feet 4 inches tall is approximately 20.25.

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Point C is located approximately 0.8 or 4/5 of the distance from point A to point B from point A.

The fraction of the distance from point A to point B that point C is located from point A can be found by finding the distance from point A to point C and dividing it by the distance from point A to point B.

First, let's find the distance from point A to point C using the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

d = √((1 - (-3))^2 + (-4 - 4)^2)

d = √((4)^2 + (-8)^2)

d = √(16 + 64) d = √80 d ≈ 8.94

Next, let's find the distance from point A to point B using the same formula:

d = √((2 - (-3))^2 + (-6 - 4)^2)

d = √((5)^2 + (-10)^2)

d = √(25 + 100)

d = √125 d ≈ 11.18

Now, let's find the fraction of the distance from point A to point B that point C is located from point A by dividing the distance from point A to point C by the distance from point A to point B:

Fraction = 8.94/11.18 ≈ 0.8

Therefore, point C is located approximately 0.8 or 4/5 of the distance from point A to point B from point A

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No, it is not necessarily true that P1(ω) = P2(ω) for all ω ∈ Ω, even if P1(ω|A) = P2(ω|A) for every subset A ⊂ Ω of size |A| = 2 and for every outcome ω ∈ Ω.

This counterexample shows that the equality of conditional probabilities for events of size 2 does not imply the equality of the unconditional probabilities.

To see why, consider the following counterexample:

Let Ω = {ω1, ω2, ω3} and suppose that P1(ω1) = P1(ω2) = P1(ω3) = 1/3,

and that P2(ω1) = 1/2 and P2(ω2) = P2(ω3) = 1/4.

Now, let A = {ω1, ω2}.

Then, we have:

P1(ω1 | A) = P1(ω1)/P1(A)

= (1/3)/(2/3)

= 1/2

P1(ω2 | A) = P1(ω2)/P1(A)

= (1/3)/(2/3)

= 1/2

P1(ω3 | A) = 0

Similarly, we have:

P2(ω1 | A) = P2(ω1)/P2(A)

= (1/2)/(3/4)

= 2/3

P2(ω2 | A) = P2(ω2)/P2(A)

= (1/4)/(3/4)

= 1/3

P2(ω3 | A) = 0

Therefore, we have P1(ω | A) = P2(ω | A) for all ω ∈ Ω and all subsets A ⊂ Ω of size |A| = 2, but P1(ω) ≠ P2(ω) for at least one outcome ω ∈ Ω. Specifically,

we have P1(ω1) = 1/3 ≠ 1/2 = P2(ω1).

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Answer:

Lowers the pitch by 1/2 step

Step-by-step explanation:

Answer:

18.45

Step-by-step explanation: If you multiply them both you get 18.45

Answer: -1

Step-by-step explanation:

Answer: -1

Step-by-step explanation: I got it right :))

The Population Regression Model for modeling y=gas mileage, using x=weight of vehicle (in thousands of pounds) is "y=β0+β1x+ε".Option C. y=β0+β1x is the sample regression function formula.

The formula for a simple linear regression model is y = β0 + β1x + ε where y is the response variable, x is the predictor variable, β0 is the y-intercept, β1 is the slope, and ε is the error term or the residual.

The formula for the population regression function is as follows:

y = β0 + β1x + ε

where y is the dependent variable, x is the independent variable, β0 The Population Regression Model for modeling y=gas mileage, using x=weight of vehicle (in thousands of pounds) is y = β0 + β1x + ε and it means the dependent variable (y) is affected by the independent variable (x) and an error term (ε).is the y-intercept, β1 is the slope, and ε is the random error.

The population regression model is the linear equation that relates the dependent variable, y, to one or more independent variables, x. It is a way of modeling the relationship between two or more variables.

Therefore, the answer to the question is option C: y=β0+β1x

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Answer:

x=2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

➜-2x+4=0

➜-2x=-4

➜2x=4

➜x=4/2

➜x=2

Analyaze base line

2x+y=2

move x to other side

y=-2x+2

slope: -2

Pepindicular lines have negative reciprical slopes, so

-2 ---- 1/2

using point slope

y-3=1/2(x-2)

simplify

y-3=1/2x-1

move three to other side

y=1/2x-1+3

y=1/2x+2

The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

The statement that is true is: d. All of these are true.Explanation:A study may have various sources of variability, including participant selection, the setting in which the study is conducted, and the measure used. The following options are as follows:a. The study may be affected by a situational variable.b. The construction noise may contribute to variability in test scores.c. The study has a confounding variable. The groups differ in the time they are to report to the testing room.d. All of these are true.Therefore, all of these options are true. For example, the study may be affected by a situational variable if a natural disaster or other unforeseen event happens that causes the study to be disrupted. In this case, the study was disrupted by a noisy construction crew, which may have contributed to variability in test scores. The study has a confounding variable since the two groups differ in the time they were supposed to report to the testing room. Since the groups differed in terms of sleep deprivation and the time they were supposed to report to the testing room, the effect of sleep deprivation on learning could not be isolated.

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Answer:

5.4661089e+63

Step-by-step explanation:

Answer:

N1356

Step-by-step explanation: I hope it helps :)

\(Profit \% = 15\%\\Selling -Price = N1560.00\\C.P = ?\\\\CP = ( SP \times 100 ) / ( 100 + percentage \: profit).\\C.P =\frac{Selling \:price \times 100}{100+ Profit \%} \\\\C.P = \frac{1560\times 100}{100+15} \\\\C .P = \frac{156000}{115} \\\\C.P =N1356.5\)

The equation of the line through the points (-3,7) and (2, 17) is y = 2x + 13.

To find the equation of the line through the points (-3,7) and (2, 17), we need to first find the slope of the line and then find the y-intercept.

Step 1: Find the slope of the line
The slope of a line is given by the formula:
m = (y2 - y1)/(x2 - x1)
Where (x1, y1) and (x2, y2) are the two points on the line.

Plugging in the given points, we get:
m = (17 - 7)/(2 - (-3))
m = 10/5
m = 2

Step 2: Find the y-intercept
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. We can plug in one of the given points and the slope we found to solve for b.

Using the point (-3,7), we get:
7 = 2(-3) + b
7 = -6 + b
b = 13

Step 3: Write the equation in slope-intercept form
Now that we have the slope and y-intercept, we can write the equation of the line in slope-intercept form:
y = 2x + 13

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okay well for a) the line is perpendicular meaning that it need to go the opposite way of 2/3x+6 so in the new equation would have a negative value times x. also when you are trying to find a perpendicular line i believe you use the inverse of the slope meaning that you would have -3/2 time x. Then you  know that the line goes through (-6,4) so you just replace x with -6, add a varible (for example n) and then set the equation equal to 4 since 4 should be the y value that you get when you plug in 4. so it should look like

(-3/2)-6+n=4   you're doing this so that you can figure out the x intercept. Move the n to the right and subtract 4 from both sides, and then solve the numbers on the left. (-3/2)-6 =9 and then 9-4=5 so the y intercept you get is five. then the new eqaution you shoud have is (-3/2)x-5=y

b.) well the x values are both positive meaning that you subtract so there is a distance of 2 units between then and the y values have a negative number and a positive number meaning you add so there is a distance of 5. The slope should be rise over run so the slope is 5/2 and then you can plug in a value of x to find the y intercept. lets use (6,-3) so

(5/2)6+n=-3. isolate the variable and tadaa you get a y intercept of -18. so the equation for the second one is (5/2)x-18=y

Answer:

15.9p-13

Step-by-step explanation:

Answer:

15.9p-13

Step-by-step explanation:

i had this question and got it right

Hey there ☺️

Please mark me as brainliest and follow me ..

here is ur answer ..

The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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