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2 years ago

What is the sum of the geometric series t=1

1 answer:

7 0

In order for an infinite geometric series to have a sum, the common ratio r must be between −1 and 1. ... To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.

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An automatic machine is set to fill bags of dog food with exactly 25 pounds on average with a standard deviation of 0.5 pounds.

Rasek [7]

Answer:

Step-by-step explanation:

Given that an automatic machine is set to fill bags of dog food with exactly 25 pounds on average with a standard deviation of 0.5 pounds.

Sample size = n =100

x bar = 24.85 pounds

Sample std error = $\frac{\sigma}{\sqrt{n} } =0.05$

Hypotheses:

$H_0: x bar = 25\\H_a: x bar \neq 25$

(Two tailed test at 5% level)

Mean difference =0.15

Test statistic = mean diff/se = 3

Since population std dev is known z test can be used

p value =0.0000

Since p <0.05 we find that the bag does not contain exactly 25 pounds.

5 0

2 years ago

Round 39.472 to the nearest tenth

MrRissso [65]

The answer is 39.470 because 39.472 is far from 39.450 and it’s 2 numbers passed 39.470.

3 0

2 years ago

Lines Line D E and Line A B are parallel. Lines D E and A B are parallel. Angles B and D are alternate interior angles. Which an

valina [46]

Answer:

a. angles A and C

b. angles B and D

Step-by-step explanation:

When two lines are parallel, it implies the value of the angle between them is $180^{0}$ . Thus the lines can not meet when extended continuously.

Alternate angles are two equal angles that lie on opposite sides of the transversal line. Alternate Interior Angles are a pair of equal angles on the inner side of two parallel lines.

Since lines DE and AB are parallel with alternate interior angles at B and D, then angles A and C with angles B and D are alternate interior angles.

i.e < A = < C (alternate interior angle property)

<B = < D (alternate interior angle property)

8 0

2 years ago

Read 2 more answers

A motorboat travels 9 miles downstream (with the current) in 30 minutes. The return trip upstream (against the current) takes 90

dalvyx [7]

Answer:

This might help u........

7 0

3 years ago

Read 2 more answers

Find the value of x<br> 12<br> 5<br> X

steposvetlana [31]

Answer:

x = 13

Step-by-step explanation:

Note that the side length x is opposite of the right angle, which means that it is the hypotenuse, which will usually be denoted as c.

Set the equation:

a² + b² = c²

let:

a = 5

b = 12

c = x

Plug in the corresponding numbers (& x) to the corresponding variables:

(5)² + (12)² = (x)²

Simplify. First, solve for the power, and then add:

x² = (5²) + (12²)

x² = (5 * 5) + (12 * 12)

x² = 25 + 144

x² = 169

Next, root both sides of the equation:

√x² = √169

x = √169 = √(13 * 13) = 13

x = 13

Note the rules, and it should be easier:

30-60-90° = 1 , √3 , 2

45-45-90° = 1 , 1 , √2

Any other measurements use the equation: a² + b² = c²

5 0

2 years ago