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3 years ago

Write 1.74 x 10^-4 as an ordinary number

Mathematics

1 answer:

garri49 [273]3 years ago

7 0

Answer:

0.000174 is your answer.

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HURRY PLEASE PLEASE

Olegator [25]

Polynomials are algebraic expressions represented by variables and coefficients.

<h3>(a) How to determine the interval the open seats increased</h3>

This is the interval, where the open seats increase the same time the time in minutes increases.

From the graph, the open seats increases at the interval (100, 600)

<h3>(b) The time the first meeting ended</h3>

This is the first point where the curve changes its direction from decreasing values to increasing values

From the graph, the curve changes its direction at point (25,100)

Hence, the first meeting ended at 10:25 AM

<h3>(c) When there were 700 open seats</h3>

From the graph, we have:

(x,y) = (5, 700)

Hence, there were 700 open seats at 10:05 AM

<h3>(d) The average rate of change from 10:00 AM to 10:25 AM</h3>

At 10:00 AM, we have:

(x,y) = (0,800)

At 10:25 AM, we have:

(x,y) = (25,100)

So, the average rate of change is:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

This gives

$m = \frac{100 - 800}{25 - 0}$

$m = \frac{-700}{25 }$

$m = -28$

Hence, the average rate of change from 10:00 AM to 10:25 AM is -28 people per minute

Read more about polynomials at:

brainly.com/question/4142886

7 0

2 years ago

The graph of y=f(x)y=f(x) is shown below. Find all values of xx for which f(x)>0f(x)>0

Rzqust [24]

Answer:

(-∞, -7) ∪ (-3, ∞)

Step-by-step explanation:

The line y=0 is the x-axis. The graph is above the x-axis for x < -7 and for x > -3. The solution set is ...

(-∞, -7) ∪ (-3, ∞)

4 0

2 years ago

Find Y

djverab [1.8K]

Answer:

$\sin(30) = \frac{y}{2 \sqrt{2} } \\ \\ < = > \frac{1}{2} = \frac{y}{2 \sqrt{2} } \\ < = > y = \frac{2 \sqrt{2} }{2} \\ \\ < = > y = \sqrt{2}$

8 0

3 years ago

Read 2 more answers

PLEASE HELP

slavikrds [6]

Answer:

B. Yes! Jason has printed 73/100 of the posters needed.

Step-by-step explanation:

7/10(1500) = 1050 minimum to print

1500-400 = 1100 printed

1100/1500 = 73/100

7 0

3 years ago

According to Padgett Business Services, 20% of all small-business owners say the most important advice for starting a business i

elena-s [515]

Answer:

a) There is a 6.88% probability that none of the owners would say preparing for long hours and hard work is the most important advice.

b) There is a 1.93% probability that six or more owners would say preparing for long hours and hard work is the most important advice.

c) There is a 10.32% probability that exactly five owners would say having good financing ready is the most important advice.

d) The expected number of owners who would say having a good plan is the most important advice is 2.28

Step-by-step explanation:

Questions a), b), c) are all solved as binomial distribution problems.

Question d) is a simple calculation.

Binomial probability distribution

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

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

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

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

And $\pi$ is the probability of X happening.

For these problems

12 business owners were contacted, so $n = 12$ .

a. What is the probability that none of the owners would say preparing for long hours and hard work is the most important advice?

20% of all small-business owners say the most important advice for starting a business is to prepare for long hours and hard work, so $\pi = 0.2$ .

That is P(X=0) when $\pi = 0.2$ .

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

$P(X = 0) = C_{12,0}.(0.2)^{0}.(0.8)^{12} = 0.0688$

There is a 6.88% probability that none of the owners would say preparing for long hours and hard work is the most important advice.

b. What is the probability that six or more owners would say preparing for long hours and hard work is the most important advice?

20% of all small-business owners say the most important advice for starting a business is to prepare for long hours and hard work, so $\pi = 0.2$ .

This is:

$P = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12)$

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

$P(X = 6) = C_{12,6}.(0.2)^{6}.(0.8)^{6} = 0.0155$

$P(X = 7) = C_{12,7}.(0.2)^{7}.(0.8)^{5} = 0.0033$

$P(X = 8) = C_{12,8}.(0.2)^{8}.(0.8)^{4} = 0.0005$

$P(X = 9) = C_{12,9}.(0.2)^{9}.(0.8)^{3} = 0.00006$

$P(X = 10) = C_{12,10}.(0.2)^{10}.(0.8)^{2} = 0.000004$

$P(X = 11) = C_{12,11}.(0.2)^{11}.(0.8)^{1} = 0.0000002$

$P(X = 12) = C_{12,12}.(0.2)^{12}.(0.8)^{0} = 0.000000004$

So:

$P = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.0155 + 0.0033 + 0.0005 + 0.000006 + 0.000004 + 0.0000002 + 0.000000004 = 0.0193$

There is a 1.93% probability that six or more owners would say preparing for long hours and hard work is the most important advice.

c. What is the probability that exactly five owners would say having good financing ready is the most important advice?

Twenty-five percent say the most important advice is to have good financing ready, so $\pi = 0.25$

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

$P(X = 5) = C_{12,5}.(0.25)^{5}.(0.75)^{7} = 0.1032$

There is a 10.32% probability that exactly five owners would say having good financing ready is the most important advice.

d. What is the expected number of owners who would say having a good plan is the most important advice?

Nineteen percent say having a good plan is the most important advice, so that is $0.19*12 = 2.28$

The expected number of owners who would say having a good plan is the most important advice is 2.28

4 0

3 years ago