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Nikitich [7]
3 years ago
12

Write out the first 5 outpouts of g(x)=2^x starting with G(1). If only you knew that the value of g(15) how would you determine

g(16)?
Mathematics
1 answer:
gtnhenbr [62]3 years ago
4 0

The first 5 outputs are:

\begin{array}{c|c}x&2^x\\1&2\\2&4\\3&8\\4&16\\5&32\end{array}

As you can see, the outputs keep doubling each time we increment x by 1.

This can be written formally, observing that if you know the value of 2^x, the next value will be

2^{x+1}=2^x\cdot 2

So, again, we've shown that the next value is twice the previous one, so you have

g(16)=2g(15)

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While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between
aleksandr82 [10.1K]

Answer:

The probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

Step-by-step explanation:

Let the random variable <em>X</em> denote the water depths.

As the variable water depths is continuous variable, the random variable <em>X</em> follows a continuous Uniform distribution with parameters <em>a</em> = 2.00 m and <em>b</em> = 7.00 m.

The probability density function of <em>X</em> is:

f_{X}(x)=\frac{1}{b-a};\ a

Compute the probability that a randomly selected depth is between 2.25 m and 5.00 m as follows:

P(2.25

                               =\frac{1}{5.00}\int\limits^{5.00}_{2.25} {1} \, dx\\\\=0.20\times [x]^{5.00}_{2.25} \\\\=0.20\times (5.00-2.25)\\\\=0.55

Thus, the probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

6 0
3 years ago
Tytucend 121' (12") (3/4"),
rosijanka [135]

Answer:

Can you write more specifically the question please

Step-by-step explanation:

8 0
3 years ago
Write 5 + = 6 + 8. write a number to make the sentence true. draw a quick picture to explain.
mel-nik [20]
9 would be answer. when you plug in the 9 to the equation you get 14=14 which is a true statement. 
8 0
3 years ago
Suzanne is 64 inches tall what is the height in feet and inches
sweet [91]

Answer: 5'4".


Step-by-step explanation: Simply divide 64 by 12, resulting in 5.333. 4÷12 is .333, meaning the remaining inches is 4.


7 0
3 years ago
Lara created a 15-pound platter of three different types of cookies for a banquet. The peanut butter cookies sell for $2 per pou
Bond [772]

Answer:

peanut butter cookies:8

sugar cookies:2

chocolate chip cookies:5

ratio: 4:1:2.5

Step-by-step explanation:

x=peanut butter cookies

y=sugar cookies

a=chocolate chip cookies

40=2x+3y+3.6a

15=x+y+a

x=a+3

15=(a+3)+y+a

y=12-2a

40=2(a+3)+3(12-2a)+3.6a

a=5

x=8

y=2

5 0
3 years ago
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