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vova2212
2 days ago
5

What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-

half) Superscript n minus 1
Mathematics
2 answers:
PIT_PIT [3.9K]2 days ago
8 0

Step-by-step explanation:

∑⁴ₙ₌₁ -144 (½)ⁿ⁻¹

This represents a finite geometric series where n equals 4, a₁ is -144, and r is ½.

S = a₁ (1 − rⁿ) / (1 − r)

S = -144 (1 − (½)⁴) / (1 − ½)

S = -270

If you wish to calculate the infinite sum (n = ∞):

S = a₁ / (1 − r)

S = -144 / (1 − ½)

S = -288

lawyer [4K]2 days ago
4 0

Answer:

The result is C (40)

Step-by-step explanation:

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Select the sequence of transformations that will carry rectangle A onto rectangle A'. A) reflect over y-axis, rotate 90° clockwi
PIT_PIT [3919]

Answer:

Each of the 4 arrangements will produce a rectangle.

Explanation:

Transforming a rectangle through rotation or translation will not alter its rectangular shape. This principle also applies when reflecting it across any axis. Thus, every sequence among the four provided will result in a rectangle.

6 0
4 days ago
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A follow-up study will be conducted with a sample of 20 people from the 300 people who responded yes (support) and no (do not su
PIT_PIT [3919]

Response:

Detailed explanation:

Hello!

Stratified sampling involves the categorization of the population into subgroups based on pre-established criteria for the study. These subgroups consist of homogeneous units concerning the relevant characteristics. In this instance, individuals in the groups will represent only one of the two potential opinions (support or not support) and not both.

The researcher determines the sample size desired, considering several factors such as finances, material availability, and accessibility to experimental subjects (for instance, if they are endangered species, larger sample sizes may not be feasible).

One might conduct proportionate stratified sampling by selecting a proportion of respondents who answered "yes" along with those who answered "no."

In this sampling method, taking a specific proportion from each subgroup allows for a more straightforward extrapolation of results to the overall populations. For example, if you needed a sample size of n = 20, each stratum would ideally contain half, meaning 10 from the “yes” group and 10 from the “no” group.

I hope this is helpful!

4 0
9 days ago
Millie has a box of 1 hundred cubes. She also has a bag of 70 cubes. How many trains of 10 cubes can she make?
Zina [3914]
100 plus 70 equals 170

170 divided by 10 equals 17

That makes 17 trains of 10 cubes
5 0
16 days ago
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Which ratio would allow you to convert from 45 cm into feet? A. 1 inch/2.54 cm...because feet would cancel out B. 2.54cm/1 becau
Svet_ta [4321]

Answer:

The appropriate ratio to convert 45 cm into feet is 1 foot / 2.54 cm since the centimeters will cancel out.

Step-by-step explanation:

We aim to find the ratio that will allow us to convert from centimeters to feet for 45 cm.

The right ratio here is 1 foot / 2.54 cm, as the cm unit will be eliminated, resulting only in feet.

This works as follows;

1 foot / 2.54 cm * 45 cm.

This simplifies to;

(45 cm * 1 foot) / 2.54 cm.

6 0
2 days ago
A book shelf holds twenty books. Eleven are hard- covered, nine of the books are nonfiction, and four of the nonfiction books ar
tester [3916]

Answer:

1) Determine the likelihood that a selected book is a nonfiction hard cover. P(N ∩ H) = 4/20

2) Calculate the probability of picking a hard-covered book. P(H) = 11/20

3) Compute the conditional probability. = 4/11

---------------------------------------------------------------------------------------------

1.) 4/20

2.) 11/20

3.) 4/11

7 0
2 days ago
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