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Genrish500
27 days ago
7

There is a mountain with 45 bat caves in a row. Every cave has at least 2 bats and there are 490 bats in all. Any 7 caves in a r

ow contain exactly 77 bats. Suppose the first cave has 7 times more bats than the last cave. What is the greatest possible number of bats in the 30th cave?
Mathematics
1 answer:
PIT_PIT [12.4K]27 days ago
5 0
12 bats By numbering the bat caves from 1 to 45, we can categorize them into 5 sections: a) 1 b) 2 to 29 (bats) c) 30 d) 31 to 44 (bats) e) 45 It is stated that any group of 7 adjacent caves contains 77 bats. Thus, the cumulative count of bats in sections b and d equals bats. This distributes the bats in caves 1, 30, and 45. The question seeks the highest possible number of bats in cave 30. Knowing the minimum for any cave is 2, we place 2 bats in cave 45, leading to a remaining count for cave 1.
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An experiment was done to look at whether there is an effect of the number of hours spent practising a musical instrument and ge
Svet_ta [12734]

Answer: Repeated contrast

Step-by-step explanation:

The conducted two-way ANOVA involved 30 participants, split evenly between 15 males and 15 females, all of whom had no prior experience with musical instruments.

This ANOVA analysis included repeated measures and considered within-group effects, between-group effects, and interaction effects. The findings indicated a significant main effect based on gender and the hours practiced. Therefore, the repeated contrast approach will be employed to assess the gender influence. This method evaluates the mean of each level in relation to the next, excluding the final level.

8 0
1 month ago
Amanda is a cabinetmaker. She makes cabinets using one of three types of wood: birch, maple, or cherry. She can finish each type
PIT_PIT [12445]
Assuming that every material in their respective categories has an equal likelihood of selection.

Categories:
(a) Wood types for cabinets: birch, maple, cherry.
Each wood type has a selection probability of 1/3.
(b) Finish types: transparent, semi-transparent.
Each finish type has a 1/2 chance of being selected.
(c) Knob types: bronze, steel, wood.
Each knob material carries a probability of 1/3.

The selection of materials for the cabinet, finish, and knobs is independent of one another.

Consequently,
Probability(birch wood AND bronze knob) = (1/3)*(1/3) = 1/9
Probability(wood knob) = 1/3
Probability(transparent stain) = 1/2
Probability(cherry wood AND semi-transparent stain) = (1/3)*(1/2) = 1/6



6 0
1 month ago
PLEASE HELP!!!
lawyer [12517]
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7 0
1 month ago
Read 2 more answers
Upgrading a certain software package requires installation of 68 new files. Files are installed consecutively. The installation
lawyer [12517]

Answer:

The chance of completing the entire package installation in under 12 minutes is 0.1271.

Step-by-step explanation:

We define X as a normal distribution representing the time taken in seconds to install the software. According to the Central Limit Theorem, X is approximately normal, where the mean is 15 and variance is 15, giving a standard deviation of √15 = 3.873.

To find the probability of the total installation lasting less than 12 minutes, which equals 720 seconds, each installation should average under 720/68 = 10.5882 seconds. Thus, we seek the probability that X is less than 10.5882. To do this, we will apply W, the standard deviation value of X, calculated via the formula provided.

Utilizing \phi, we reference the cumulative distribution function of the standard normal variable W, with values found in the attached file.

P(X < 10.5882) = P(\frac{X-15}{3.873} < \frac{10.5882-15}{3.873}) = P(W < -1,14)

Given the symmetry of the standard normal distribution density function, we ascertain \phi(-1.14) = 1-\phi(1.14) = 1-0.8729 = 0.1271.

Consequently, the probability that the installation process for the entire package is completed within 12 minutes is 0.1271.

Download pdf
7 0
1 month ago
Jane is organizing a fundraiser to buy a ping-pong table for the community center. The table costs $500.00. Jane is asking contr
babunello [11817]
The function representing the cost per share, C, relative to the number of contributors, n, is C = 500 / n. For the contribution to be $20 each, Jane must gather 20 additional contributors, totaling 25. With just 5 currently, she needs 20 more to reach this goal.
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25 days ago
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