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azamat
3 years ago
7

9x-3=3(3x-1) is it identity or contradiction

Mathematics
1 answer:
Paha777 [63]3 years ago
8 0

Answer:

0=0

Step-by-step explanation:

9x-3=9x-3

9x-9x+=-3+3

0=0

infinite solution

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11 The net force on a vehicle that is accelerating at a rate of 1.5 m/s² is 2,800 newtons. What is
ololo11 [35]

Answer:

Mass = 1867kg

Step-by-step explanation:

Given

Force = 2800N

Acceleration = 1.5m/s^2

Required

Determine the mass of the vehicle

This question will be answered using Newton's second law

Force = Mass * Acceleration

Substitute values for Force and Acceleration

2800 = Mass * 1.5m/s^2

Make Mass the subject

Mass = \frac{2800N}{1.5m/s^2}

Mass = 1866.6667kg

Mass = 1867kg ---- approximated

<em>Hence, the mass of the vehicle is 1867kg</em>

4 0
3 years ago
the electricity goes out in a house. the temperature in the house changes by -8 fahrenheit in 4 hours. on average, by how many d
Aliun [14]

Answer:

-2 degrees per hour

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The probability that your call to a service line is answered in less than 30 seconds is 0.75. Assume that your calls are indepen
vfiekz [6]

Answer:

a) 0.2581

b) 0.4148

c) 17

Step-by-step explanation:

For each call, there are only two possible outcomes. Either they are answered in less than 30 seconds. Or they are not. The probabilities for each call are independent. So we use the binomial probability distribution 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.

In this problem we have that:

p = 0.75

a. If you call 12 times, what is the probability that exactly 9 of your calls are answered within 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X = 9) when n = 12. So

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

P(X = 9) = C_{12,9}.(0.75)^{9}.(0.25)^{3} = 0.2581

b. If you call 20 times, what is the probability that at least 16 calls are answered in less than 30 seconds? Round your answer to four decimal places (e.g. 98.7654).

This is P(X \geq 16) when n = 20

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

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

P(X = 16) = C_{20,16}.(0.75)^{16}.(0.25)^{4} = 0.1897

P(X = 17) = C_{20,17}.(0.75)^{17}.(0.25)^{3} = 0.1339

P(X = 18) = C_{20,18}.(0.75)^{18}.(0.25)^{2} = 0.0669

P(X = 19) = C_{20,19}.(0.75)^{19}.(0.25)^{1} = 0.0211

P(X = 20) = C_{20,20}.(0.75)^{20}.(0.25)^{0} = 0.0032

So

P(X \geq 16) = P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.1897 + 0.1339 + 0.0669 + 0.0211 + 0.0032 = 0.4148

c. If you call 22 times, what is the mean number of calls that are answered in less than 30 seconds? Round your answer to the nearest integer.

The expected value of the binomial distribution is:

E(X) = np

In this question, we have n = 22

So

E(X) = 22*0.75 = 16.5

The closest integer to 16.5 is 17.

7 0
3 years ago
HELPPP The number of members in the Triathlon Club was 36 in 2001 and has increased by 20% each year. Which exponential growth m
levacccp [35]

Answer:

C. y=36(1.2)t

Step-by-step explanation:

The number of members in the Club in t years after 2001 is given by an equation in the following format:

y = y(0)(1+r)^{t}

In which y(0) is the number of members in 2001 and r is the growth rate, as a decimal.

The number of members in the Triathlon Club was 36 in 2001 and has increased by 20% each year.

This means that y(0) = 36, r = 0.2

So

y = y(0)(1+r)^{t}

y = 36(1+0.2)^{t}

y = 36(1.2)^{t}

The correct answer is C.

5 0
3 years ago
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2.25 days i would assume if they each wat once a day. However there isn’t enough info because we dont know how often they’re eating.
4 0
3 years ago
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