You went on three hikes. On each hike, you saw a different number of animals: Hike Length of hike (\text{km})(km)left parenthesi

Answer:

Step-by-step explanation:

The prices he received quotes for are as follows: $663, $273, $410, $622, $174, $374

To begin, we will find the average.

Average = total of data points/ number of data points.

Total of data points =

663 + 273 + 410 + 622 + 174 + 374

= 2516

Total count = 6

Average = 2516/6 = 419.33

Standard deviation = √summation(x - m)^2/n

summation(x - m)^2/n = (663 - 419.33)^2 + (273 - 419.33)^2 + (410 - 419.33)^2 + (622 - 419.33)^2 + (174 - 419.33)^2 + (374 - 419.33)^2

= 179417.9334/6 = 29902.9889

Standard deviation = √29902.9889

= 172.9

Answer:

The highest achievable volume for the box is 2000000 cubic meters.

Step-by-step explanation:

Below is an outline of the volume (), measured in cubic centimeters, and surface area (), measured in square centimeters, for a box featuring a square base:

(1)

(2)

Where:

- The length of the base's side, in centimeters.

- The height of the box, in centimeters.

Using (2), we isolate in the formula:

Then, we substitute into (1) and simplify the outcome:

(3)

Next, we calculate the first and second derivatives of this expression:

(4)

(5)

If and , then we find that the critical value for the base's side length is:

Subsequently, we assess this outcome using the second derivative's expression:

According to Second Derivative Test, this critical value signifies an absolute maximum. Consequently, the largest volume obtainable for the box is:

The highest achievable volume for the box is 2000000 cubic meters.

With 100 sweet snacks, if the ratio is 5:1, that means there are five times more salty snacks

(a) A child possesses a container filled with colored building blocks. She will select one block without looking. The odds against selecting a blue block are 4/7. What is the probability of selecting a blue block?

Answer:

The likelihood of selecting a blue block is 7/11.

Step-by-step explanation:

To find the probability of selecting a blue block,

Odds:

The odds of a given event is the ratio of the probability of that event occurring to the probability of its absence. This means it compares favorable outcomes to those that are unfavorably likely.

The odds of not selecting a blue block being 4/7 means that out of 11 scenarios, there will be 4 occasions when the block is not blue, and 7 when it is blue.

Thus, the probability of not selecting the blue block is 4/11.

Probability of selecting the blue block is the complement of 4/11 which equals 7/11.

(b) Amanda plays a role-playing game with her friends. She will roll dice to decide if her character accesses a treasure chest. The chance of her character unlocking this chest is 13/20. Determine the odds in favor of her character unlocking the treasure chest.

Answer:

The odds in favor of her character unlocking the treasure chest equal 13/7.

Step-by-step explanation:

The probability of Amanda's character unlocking the treasure chest is given as 13/20.

This indicates that in a total of 20 chances, there will be 13 instances where the character successfully opens the treasure chest, while the remaining 7 times, they will not succeed.

Favorable outcomes: 13

Unfavorable outcomes: 7

Consequently, the odds in favor of her character unlocking the treasure chest are 13/7.

To resolve this question, simply tally the probabilities of the options. The likelihood of a pitch not crossing the plate being a strike is non-existent; thus, P(A | D) = 0. This is true as it calculates to 0/0+20= 0. The likelihood of a pitch not over the plate being a ball is complete; therefore, P(B | D) = 1. This holds true as it equals 20/20+0= 1. The likelihood of a pitch over the plate being a strike is 10:15. It’s incomplete but seems correct; it can be calculated as 10/10+5= 10/15 = 2/3. The probability for a pitch over the plate labeled a ball is 5:10; therefore, P(B | C) = 0.5.