If the absolute value of the correlation is approximately one, then the points lie close to a line that slopes upward or downward?

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Answer 1

Answer:

Answer:

if it is positive then it goes upward and if negative it goes downward..so if it is approximately 1 then it will be constant or straight...

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Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)
-17 irrational number

Hurry I am running out of time! I have 10 minutes.

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Toy company produces rubber balls that have a radius of 1.7 cm.A sphere has a radius of 1.7 centimeters.
What is the volume of one rubber ball? Round to the nearest hundredth of a centimeter.

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Answer:

The volume of one rubber ball is 20.58 cubic centimeters.

Step-by-step explanation:

The rubber ball has a spheric format.

A sphere with radius r has volume given by the following equation:

$V = (4\pi r^(3))/(3)$

In this question:

r = 1.7 cm.

The radius is in centimeters, so the volume will be in cubic centimeters.

What is the volume of one rubber ball?

$V = (4*\pi*(1.7)^(3))/(3) = 20.58$

The volume of one rubber ball is 20.58 cubic centimeters.

Answer:

1) 20.58 cm

2) $0.09

3) $0.41

Step-by-step explanation:

Ind the slope m of the tangent to the curve y = 9 + 4x2 − 2x3 at the point where x =a. m = 8a−6a2 (b) find equations of the tangent lines at the points (1, 11) and (2, 9). y(x) = 2x+11 (at the point (1, 11)) y(x) = (at the point (2, 9))

Answers

This is about slope of tangents via derivatives.

A) m = 8a- 6a²

B) At (1, 11), equation of tangent is y = 2x + 9

At (2, 9), equation of tangent is y = 2x + 4

The slope of a tangent to a curve is simply gotten by finding the first derivative of the function representing that curve.

We are given the function; y = 9 + 4x² - 2x³

The slope will be;

m = y' = 8x - 6x²

A) At x = a; To find the slope we will just put a for x in the slope function;

Slope; m = 8a- 6a²

B) Slope is 8x - 6x²

At the point (1, 11);

Slope = 8(1) - 6(1²) = 2

Thus, equation of tangent line is; y - 11 = 2(x - 1)

⇒ y - 11 = 2x - 2

⇒ y = 2x - 2 + 11

⇒ y = 2x + 9

At the point (2, 9);

Slope = 8(2) - 6(2²) = -8

Thus, equation of tangent line is; y - 8 = 2(x - 2)

⇒ y - 8 = 2x - 4

⇒ y = 2x - 4 + 8

⇒ y = 2x + 4

Read more at; brainly.com/question/18476507

Find the derivative:-
y' = 8x - 6x^2
This is the slope in terms of x.
When x = a , the slope is
8a - 6a^2

(b) equation of tangent line at x1,y1
is y- y1 = (8x - 6x^2)( x - x1) , so at (1,11) it is
y - 11 = (8(1) - 6((1)^2) ) (x - 1)
y = 2(x - 1) + 11
y = 2x + 9 (answer)

At (2,9)
y - 9 = (16-24)(x - 2)
y - 9 = -8x + 16
y = -8x + 25 answer

The probability that an adult possesses a credit card is .70. A researcher selects two adults at random. By assuming the independence, the probability that the first adult possesses a credit card and the second adult does not possess a credit card is:

Answers

Answer: 0.21

Step-by-step explanation:

We know that if two events A and B are independent , then the probability of A and B is given by :-

$\text{P and B}=P(A)* P(B)$

Given: The probability that an adult possesses a credit card P(A)= 0 .70

The probability that an adult does not possess a credit card $P(B)= 1-P(A)=0 .30$

By assuming the independence, the probability that the first adult possesses a credit card and the second adult does not possess a credit card is given by :-

$0.70*0.30=0.21$