The ability of ecologists to identify regions of greatest species richness could have an impact on the preservation of genetic diversity, a major objective of the World Conservation Strategy. A study used a sample of n = 33 lakes to obtain the estimated regression equation
y = 3.89 + 0.033x1 + 0.024x2 + 0.023x3 − 0.0080x4 − 0.13x5 − 0.72x6
where y = species richness, x1 = watershed area, x2 = shore width, x3 = poor drainage (%), x4 = water color (total color units), x5 = sand (%), and x6 = alkalinity.
The SSR and SSE have been calculated to be:_________.
SSR = 752.25 and SSE = 300.9.

Answer:

[tex]\sqrt{10}[/tex]

Step-by-step explanation:

Using the distance formula: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

substitute

[tex]d = \sqrt{((-3) - (-6))^2 + ((9)-(8))^2}[/tex]

[tex]\sqrt{10}[/tex]

Answer: 0.97

Step-by-step explanation:

Formula : For events A and B

P(A or B) = P(A) + P(B) - P(A and B)

Given : The probability of teenager owning a game system is .72.

i.e. P(game system) =0.72

The probability of teenager owning a cell phone is .93.

i.e. P(cell phone) = 0.93

The probability of a teenager owning both gaming system and cell phone is .68

i.e. P( game system and cell phone) = 0.68

Now , the probability of a teenager owning a gaming system or a cell phone is given by :_

P(game system or cell phone) = P(game system) +P(cell phone)- P( game system and cell phone)

= 0.72+0.93-0.68

= 0.97

Hence, the probability of a teenager owning a gaming system or a cell phone is 0.97.

Answer: The moving of decimal to the left is a shortcut to the operation of multiplying number by decimal numbers

Step-by-step explanation:

the power of 10 that is involved in converting the measurements of pete is -4, so he needs to multiply the measurement by 10^-4 to convert it.

Answer:

Sample Response: Because he moved the decimal 4 places to the left, Pete is dividing by 10 to the 4th power, or 10,000. Pete moved the decimal place 4 places to the left. Pete is dividing by 10 to the 4th power, or 10,000.

Step-by-step explanation:

it was on edg

                                                      hope it helps :b

Answer:

Step-by-step explanation:

Null hypothesis: u = 10

Alternative hypothesis: u =/ 10

Using the formula: t = (x - u) / (s /√n)

Where x = 12, u = 10, s = 5 and n = 25

t= (12-10) / (5/√25)

t = (2)/(5/5)

t = 2/1= 2

t = 2.0

At a 0.01 level of significance with a degree of freedom of 24, the p-value is 0.0569, which is greater than 0.01 we will fail to reject the null and conclude that parents do not read more than the average number of books to their children

Answer:

0.0908 [tex]m^{2}[/tex] (to 3 S.F.)

Step-by-step explanation:

Area = π[tex]r^{2}[/tex]

π * [tex]17^{2}[/tex] = 907.92

= 908 [tex]cm^{2}[/tex]

=0.0908 [tex]m^{2}[/tex]

Answer:

11

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hello!

Given the variables

Y: standardized history test score in third grade.

X₁: final percentage in history class.

X₂: number of absences per student.

Determine the following multiple regression values.

I've estimated the multiple regression equation using statistics software:

^Y= a + b₁X₁ + b₂X₂

a= 118.68

b₁= 3.61

b₂= -3.61

^Y= 118.68 + 3.61X₁ - 3.61X₂

ANOVA Regression model:

Sum of Square:

SS regression: 25653.86

SS Total: 36819.23

F-ratio: 11.49

p-value: 0.0026

Se²= MMError= 1116.54

Hypothesis for the number of absences:

H₀: β₂=0

H₁: β₂≠0

Assuming α:0.05

p-value: 0.4645

The p-value is greater than the significance level, the decision is to not reject the null hypothesis. Then at 5% significance level, there is no evidence to reject the null hypothesis. You can conclude that there is no modification of the test score every time the number of absences increases one unit.

I hope this helps!

Answer:

The answer is s / s + 3

Step-by-step explanation:

I applied the fraction rule a/b divided by c/d = a/b times c/d

Please mark BRAINLIEST!

Answer:

a) [tex]\Delta A \approx 26.389\,cm^{2}[/tex], b) [tex]r_{A} \approx 0.019[/tex], c) [tex]\delta = 1.9\,\%[/tex]

Step-by-step explanation:

a) The area of the circular disk is modelled after this expression:

[tex]A = \pi \cdot r^{2}[/tex]

The total differential is given by the following formula:

[tex]\Delta A = 2\pi r \cdot \Delta r[/tex]

The maximum absolute error in the calculated area of the disk is:

[tex]\Delta A = 2\pi \cdot (21\,cm)\cdot (0.2\,cm)[/tex]

[tex]\Delta A \approx 26.389\,cm^{2}[/tex]

b) The relative error is given by:

[tex]r_{A} = \frac{\Delta A}{A}[/tex]

[tex]r_{A} = \frac{26.389\,cm^{2}}{\pi \cdot (21\,cm)^{2}}[/tex]

[tex]r_{A} \approx 0.019[/tex]

c) The percentage error is:

[tex]\delta = r_{A}\times 100\,\%[/tex]

[tex]\delta = 0.019 \times 100\,\%[/tex]

[tex]\delta = 1.9\,\%[/tex]

Answer:

Step-by-step explanation:

|x-1|=8

if (x-1) >= 0 meaning x >= 1

then |x-1| = x-1

and then the solution of the equation is

x-1=8

<=> x = 9

if (x-1) <= 0 meaning x <= 1

then |x-1| = -(x-1) = -x+1

so the solution of the equation is

-x+1=8

<=> -x = 7

<=> x = -7

so the solutions are -7 and 9

answer C

do no hesitate if you need further explanation

thank you

Answer:

So the diagram couldn't come due to coronavirus?

Answer:

there is no diagram

Step-by-step explanation:

Answer:

Step-by-step explanation:

In this scenario, cost depends on mileage. Thus cost is the dependent variable.

As a general rule, if you have the form ...

  a = (some expression involving b)

you will find that "a" is the dependent variable, and "b" is the independent variable.

This problem statement gives you ...

  c = (an expression involving m)

"c" is the dependent variable; "m" is the independent variable.

The independent variable is m and the  dependent variable is c.

The dependent variable is the outcome or result that is affected by the independent variable. The independent variable is the factor that is changed or manipulated in order to observe the effect on the dependent variable.

Given that, the cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile.

The equation c = 25 + 0.6m models the cost, c, in dollars for the number of miles, m, traveled in the truck.

In the given equation c = 25 + 0.6m, c is the dependent variable and the m is the independent variable.

Therefore, the independent variable is m and the  dependent variable is c.

Learn more about the independent variable here:

brainly.com/question/29430246.

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Answer:

Step-by-step explanation:

Determine the best response of each player to each of the other player’s actions; plot them in a diagram and thus find the Nash equilibria of the game.

The best response for player 2 can be stated as:

(where X1 equals the dollar that a person names and Y2(X1) being the amount the person receives)

X1 Y2(X1)

0 10

1 9,10

2 8,9,10

3 7,8,9,10

4 6,7,8,9,10

5 5,6,7,8,9,10

6 5,6

7 6

8 7

9 8

10 9

Th best responses for player 1 would be the same.

Nash equilibria is the set of strategies that every person forms given no person has any incentive to change. Hence, we can say that there are 4 Nash equilibria: (5,5) , (5,6) , (6,5) , (6,6)

Answer:

rounded to 3 decimal places ...

Step-by-step explanation:

The function can be put into vertex form:

  h(t) = -4.92(t -(1769/984))^2 +575 +4.92(1769/984)^2

  h(t) ≈ -4.92(t -1.79776)^2 +590.90122

The value of h(t) is zero for ...

  t = √(590.90122/4.92) +1.79776 ≈ 12.75686

For practical purposes, the domain of the function is those values of t between the time the object is tossed and the time it hits the ground. That is, the domain is ...

  0 ≤ t ≤ 12.75686

The range is the set of useful vertical heights, so extends from 0 to the maximum height, given by the vertex.

The range is 0 ≤ h(t) ≤ 590.90122.

_____

Alternate interpretation of the question

The function h(t) is defined for all values of t, so that could be considered the domain.

The function h(t) only gives values less than its vertex value, so the range could be considered to extend from negative infinity to that maximum.

Answer:

A) 15

B) 0.9

Step-by-step explanation:

Use the correct order of operations.

A) 40 − 5 ÷ 1/5 =

= 40 − 5 * 5

= 40 - 25

= 15

B) (4.8 − 1.8 ÷ 6) ÷ 5 =

= (4.8 − 0.3) ÷ 5

= 4.5 ÷ 5

= 0.9

Answer:

Hello!

I believe this is what you are looking for:

x=3

33=27

32=9

S=Surface area

V=Volume

L=Length

R=Radius

I hope this helped.  If not, please let me know.  I will try my best again. :)

Step-by-step explanation:

Answer:

But if we are doing 3^x we need to add both of them

This is a rule you should remember if you have both same base to x power when you are multiplying

5+4 = 9

answer is 3^9 or 19683

Answer:

Step-by-step explanation:

WITH THE GIVEN DATA

A ) using regression to investigate the relationship between the number of fatal accidents and the percentage of drivers under the age pf 21

to fit into a regression line we must have ∝ and β

where β = [tex]\frac{S_{xy} }{S_{xx} }[/tex]   = 0.2871

and ∝ = y - βx   =  - 1.5974

regression line = ∝ + β * x

insert values into regression line equation

regression line = -1.5974 + 0.2871 * x

we can conclude that for every single unit of : x, y would be increased by 0.2871.  and intersection of x and y will be through =1.5974

B ) conclusion and recommendations can you derive from your analysis

it  can be  concluded that they are strongly positively correlated. There is strong and positive correlation between them. i.e the number of fatal accidents and the drivers under the age of 21

using the correlation coefficient  ( r ) = [tex]\frac{S_{xy} }{\sqrt{S_{xx}*S_{xy} } }[/tex]    = 0.8394

Answer:

0.8394

Step-by-step explanation:

.

Answer:

Categorical data includes

b. How did you pay for the vehicle? (Cash, Lease, or Finance)

c. How likely would you be to recommend this vehicle to a friend? (Definitely Not, Probably Not, Probably Will, and Definitely Will)

e. What is your overall rating of your new vehicle? A 1 to 10 point scale, ranging from I for unacceptable to 10 for truly exceptional, was used.

Quantitative data includes

a. What price did you pay for the vehicle?

d. What is the current mileage?

Step-by-step explanation:

Categorical data refers to the kind of data in which the variables are grouped based on a particular quality, ticking a particular box or satisfying some specific requirements.

It uses one or more qualitative property/properties to assign variables into a limited, usually fixed groups or categories. Note that the qualitative property might be a grouped data of numerical values. As long as there are easily separable and recognizable groups, it is categorical data.

This is also called qualitative data.

Quantitative data is a data that is strictly about numerical values. A dataset that consists of numerical values of the members of the dataset. Deals almost exclusively with numbers, usually ungrouped.

So, examining the given datasets one at a time

a. What price did you pay for the vehicle?

The answer to this question is a numerical value and for various customers, it builds up a dataset of strictly numerical values. Hence, this resulting data is a quantitative data.

b. How did you pay for the vehicle? (Cash, Lease, or Finance)

The answers to this question can only take 3 forms; Cash, Lease or Finance, indicating that all the variables in the dataset can only take on limited, fixed number of groups/categories. Hence, this dataset is a categorical data.

c. How likely would you be to recommend this vehicle to a friend? (Definitely Not, Probably Not, Probably Will, and Definitely Will)

The answers to this question too can take on 4 limited, fixed categories or groups, Hence, it's easy to see that this dataset is also categorical data.

d. What is the current mileage?

The answer to this question is a numerical value. Various answers from numerous persons would lead to a data of numbers. Hence, this is a quantitative data.

e. What is your overall rating of your new vehicle? A 1 to 10 point scale, ranging from I for unacceptable to 10 for truly exceptional, was used.

Limited, fixed categories or groups (10 groups) are also available for this data, hence, it is easily a categorical data.

Hope this Helps!!!

Answer: 4 / 663

Step-by-step explanation:

There are 4 queens in a deck of 52 cards.

Probability = 4/52 = 1/13

There are 4 sevens

Probability = 4/51

Total probability = 1/13 x 4/51 = 4 / 663

The probability of drawing a queen first and a seven-second is 3/613.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

There are 4 queens in a standard deck, and once one queen is drawn, there are 51 cards left, including 3 sevens.

So, the probability of drawing a queen first is 4/52 or 1/13, and the probability of drawing a seven-second is 3/51.

By the multiplication rule of probability, multiply the probabilities of each event occurring:

P(Queen and Seven) = P(Queen) × P(Seven after Queen)

P(Queen and Seven) = (1/13) × (3/51)

P(Queen and Seven) = 3/613

Thus, the probability of drawing a queen first and a seven-second is 3/613.

Learn more about the probability here:

brainly.com/question/11234923

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Answer:

eight (8)

Step-by-step explanation:

-3,-2,-1,0,1,2,3,4

Answer:

D.) There are 30 g of protein in 6 tablespoons of peanut butter.

Step-by-step explanation:

Interpretation of the graph:

x-axis: tablespoons

y-axis: grams of protein.

Which statement describes the meaning of the point (6, 30) on the graph?

(6,30) means that x = 6 and y = 30.

This means that in 6 tablespoons there are 30g of protein.

So the correct answer is:

D.) There are 30 g of protein in 6 tablespoons of peanut butter.

Answer:

The answer is D

Answer:

Solve for  

w

by simplifying both sides of the equation, then isolating the variable.

Exact Form:

w

=

49

2

Decimal Form:

w

=

24.5

Mixed Number Form:

w

=

24

Answer:

24

Step-by-step explanation:

Answer:

Air resistance

Step-by-step explanation:

Air resistance is a type of friction that occurs when air pushes against a moving object causing it to negatively accelerate

Answer:

Air resistance

Step-by-step explanation:

Air resistance is a type of friction that occurs when air pushes against a moving object causing it to negatively accelerate.

Answer:

Step-by-step explanation:

The solution is attached

Answer:

C. 41,800

Step-by-step explanation:

Multiply 0.44 by 95,000.

0.44 x 95,000 = 41,800

Answer:

The probability that a randomly selected boy in secondary school can run the mile in less than 368 seconds is P(X<368)=0.011.

Step-by-step explanation:

We have a normal distribution with mean 460 and standard deviation 40 to describe the time for the mile run in its secondary-school fitness test.

We have to calculate the probabiltiy that a randomly selected boy in secondary school can run the mile in less than 368 seconds.

To calculate this, we have to calculate the z-score for X=368:

[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{368-460}{40}=\dfrac{-92}{40}=-2.3[/tex]

Then, we can calculate the probability:

[tex]P(X<368)=P(z<-2.3)=0.011[/tex]

Answer:

The answer is No Solution

Answer:

No solution

Step-by-step explanation:

There is no solution to this question.

Since the x is an absolute number, the answer cannot be -4. It would have to equal 4

So if that x was a -4 it would equal 4 since it is in absolute value brackets

Answer:

2.5

Step-by-step explanation:

(-5/6 ) / (-1/3)

multiply the numerator and denominator by the same number -3 gives:

(-5 * -3 /6 ) / (-1* -3/3)

(15/6 ) / (3/3)

(15/6 ) / 1

(15/6 )

12/6 + 3/6

2 3/6

2 1/2

2.5