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3 years ago

Write an exponential growth function and explain the growth pattern it models. Use complete sentences?

Mathematics

1 answer:

damaskus [11]3 years ago

4 0

2^x=y
The growth pattern is multiply by two consecutively for every y, when moving from left to right on the x axis

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Please help me with this

3241004551 [841]

120+x+16+x=180
2x+ 136=180
2x=44
X= 22

<B= 22

7 0

3 years ago

Let X be a Binomial Random Variable with 8 trials and a probability of success as 0.37. Suppose you want to find k such that P(X

larisa86 [58]

Answer:

k = 4

Step-by-step explanation:

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.

In this problem we have that:

$n = 8, p = 0.37$ . So

P(X < k) = 0.6625

k only assumes discrete values, so

$P(X < k) = P(X \leq k-1) = 0.6625$

We have to find the cummulative distribution until we hit 0.6625. So

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

$P(X = 0) = C_{8,0}.(0.37)^{0}.(0.63)^{8} = 0.0248$

$P(X \leq 0) = P(X = 0) = 0.0248$

$P(X = 1) = C_{8,1}.(0.37)^{1}.(0.63)^{7} = 0.1166$

$P(X \leq 1) = P(X = 0) + P(X = 1) = 0.0248 + 0.1166 = 0.1414$

$P(X = 2) = C_{8,2}.(0.37)^{2}.(0.63)^{6} = 0.2397$

$P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0248 + 0.1166 + 0.2397 = 0.3811$

$P(X = 3) = C_{8,3}.(0.37)^{3}.(0.63)^{5} = 0.2814$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0248 + 0.1166 + 0.2397 + 0.2814 = 0.6625$

$P(X \leq 3) = P(X < 4) = 0.665$

So k = 4

7 0

3 years ago

Find the amount of tax and the tax rate. Round to two decimal places

Makovka662 [10]

Answer:

The tax amount is 15.17$

The tax rate is 12.4%.

Step-by-step explanation:

First we subtract the cost from the selling price.

137.17 - 122 = 15.17

We have found the tax amount, now for the tax rate.

If tax rate is x, then

122 * x = 137.17

Divide both sides by 122 to get

x = 137.17/122 = 1.124, or .124.

Then convert into percentage by moving the decimal to the right 2 times.

.124 = 12.4%

Hope this helps you

3 0

4 years ago

Read 2 more answers

The Ferris wheel rotated 20˚ each time it let passengers off the ride. If 3 sets of passengers were let off, how many degrees di

Alex777 [14]

Answer:

Step-by-step explanation:

if its 20 rotation it goes 3 times it will be 60

20 20 20= <u>60</u>

5 0

3 years ago

Read 2 more answers

Please help me 20 points<br><br> Find m∠A and m∠B =

postnew [5]

Answer:

96 for b 90 for a

Step-by-step explanation:

5 0

3 years ago