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3 years ago

9

A treasure chest sinks at a rate no less than 20 feet per second. The floor of the ocean is at -4,200 feet . Will the treasure c

hest reach the ocean floor in less than 3 minutes?Explain.

1 answer:

artcher [175]3 years ago

6 0

Answer:

322

Step-by-step explanation:

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What is the slope of the line

wlad13 [49]

(1,4), (-1,3) 3-4/-1-1=-1/-2. -1/-2= 1/2 so 1/2 would be the slope

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Simplify -8x^2-3y+4x-2y^3+x^2-7x^3

rewona [7]

Answer:-7x(to the power of 2)-3y+4x-2y(to the 3rd power)-7x( to the third power)

Step-by-step explanation:

Collect like terms

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3 years ago

(-2)3= (-6)2=<br><br> Evaluate <br> (-2)3=<br> (-6)2=

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-2*3 = -6
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3 years ago

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In Happyville, the ideal family has four children, at least two of which are girls. If you randomly select a Happyville family t

sleet_krkn [62]

Answer:

0.3125 = 31.25% probability that it is not ideal.

Step-by-step explanation:

For each children, there are only two possible outcomes. Either it is a girl, or they are not. The probability of a child being a girl is independent of any other child. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

0.5 probability of a children being a girl:

This means that $p = 0.5$

If you randomly select a Happyville family that has four children, what is the probability that it is not ideal?

Not ideal is less than two girls, so this is P(X < 2).

Four children means that $n = 4$ . So

$P(X < 2) = P(X = 0) + P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{4,0}.(0.5)^{0}.(0.5)^{4} = 0.0625$

$P(X = 1) = C_{4,1}.(0.5)^{1}.(0.5)^{3} = 0.25$

$P(X < 2) = P(X = 0) + P(X = 1) = 0.0625 + 0.25 = 0.3125$

0.3125 = 31.25% probability that it is not ideal.

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3 years ago

The surface area of a globe in Mr. Patton's classroom is about 152.39 square inches. Find its

Snezhnost [94]

Answer:

176.89in^3

Step-by-step explanation:

when finding the volume using the surface area, the best method that comes in my mind is finding the ratio between the surface area and volume which would be r/3 for a sphere. So if given that the surface area of the sphere is 152.39 square r/3=around 1.161, and when multiplied by 152.39 is around 176.89. another similar method is deriving the radius when given its surface area which is simply taking the square root of the surface area/4pi which turns out to be 3.482357088 or 3.48 which can then be plugged into the volume formula as the radius which is (3.48^3*4pi)/3 which turns out to be the same answer!

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3 years ago