Which of the following is the correct definition of a geometric sequence?

Answers

Answer 1

Answer: Geometric sequences use multiplication as the common ratio, whether you are dividing by a fraction or a rational number. The key thing is that the ratio has to be the same throughout the whole sequence. Therefore, that makes the last choice above the one you want.

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A high school basketball team scored 60 points in last week’s game. The team scored a total of 27 baskets; some were two-point shots and some were three-point shots. How many two-point shots did they make? How many three-point shots did they make?x + y = 27,2x + 3y = 60What is the solution of the system of equations, and what does it represent?options:(6, 21); 6 two-point shots and 21 three-point shots(6, 21); 6 three-point shots and 21 two-point shots(21, 6); 21 two-point shots and 6 three-point shots(21, 6); 21 three-point shots and 6 two-point shots
Find the equation of the line parallel to the given line and passing through the given point.y=-3x+2; (-2,-6)
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Write the equation for a parabola with the focus at(-1, 4) and the equation of the directrix x = 5.
(x + 1)2 = 3(y-4)
(y-4)2 = 12(x + 1)
(y-2)2 = -3(x – 4)
(y-4)2 = –12(x - 2)

Answers

The answer is (y - 4)2 = -12(x - 2)
Since the graph is facing the left, the starting equation would be (y - k)2 = -4p(x - h).
(h, k) is the vertex of the graph. If you plot the focus and the directrix, you can see that the distance is 6. Divide 6 by 2, thus the vertex should be 3 squares away from the focus and 3 squares away from the directrix. The vertex is (2, 4). And since the distance from the focus to the vertex and the distance from the directrix to the vertex is 3, P = 3.
Insert the numbers in and you should get the last choice.

Data on the blood cholesterol levels of 10 rats (milligrams per deciliter of blood) give x = 85 and s = 12. A 99% confidence interval for the mean blood cholesterol of rats is

Answers

Answer:

99% confidence interval for the mean blood cholesterol of rats is between 72.66 milligrams per deciliter of blood and 97.34 milligrams per deciliter of blood

Step-by-step explanation:

Confidence Interval = mean (x) + or - margin of error (e)

e = t×s/√n

s = 12, n = 10, degree of freedom = n-1 = 10-1 = 9, t-value corresponding to 9 degrees of freedom and 99% confidence level is 3.250

e = 3.250×12/√10 = 12.34

Lower bound = x - e = 85 - 12.34 = 72.66

Upper bound = x + e = 85 + 12.34 = 97.34

99% confidence interval is (72.66, 97.34) milligrams per deciliter of blood

Answer: 85 +/- 9.79

= ( 75.21, 94.79)

Therefore at 99% confidence interval (a,b) = ( 75.21, 94.79)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean gain x = 85

Standard deviation r = 12

Number of samples n = 10

Confidence interval = 99%

z(at 99% confidence) = 2.58

Substituting the values we have;

85 +/-2.58(12/√10)

85+/-2.58(3.795)

85 +/- 9.79

= ( 75.21, 94.79)

Therefore at 99% confidence interval (a,b) = ( 75.21, 94.79)

5x^3+15x^2+10x please help with this I need to see how its worked out not just the answer I no the answer just don't no how to work out the problem

Answers

hi!

5x^3+15x^2+10x = 0

x(5x^2+15x+10) = 0

=> x=0

5x^2+15x+10=0

5(x^2+3x+2)=0

=> (x+1) (x+2) = 0

x= -1 , x= -2

it has three answers, hope im right :)

Two planes intersect in exactly one _____.
line
plane
point
prism

Answers

Two planes (not the same two) can intersect in a line, or
in a plane, or not at all. It depends on their orientation.

Two planes can never intersect in a single point.

Answer:

one plane

Step-by-step explanation:

What is the mean? If the answer is a decimal, round it to the nearest tenth.

Answers

Answer:

Round out to the nearest 10th say 5 it would stay 5 unlike 8 would round to 10

Step-by-step explanation:

add all the numbers together, that gets you 50 and then divide 50 by the number of numbers you added. 50/10=5 your answer is 5.

Jose has $178.74 in his checking account. He wrote checks for $36.52, $18.92, and $25.93. He also deposited $300.00, $100.00, and $205.16. What is the final balance in Bob's checking account?V