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4 years ago

13

How to solve 14/15- ?= 1/3

1 answer:

Sophie [7]4 years ago

5 0

Answer:

? = 3/5

Step-by-step explanation:

14/15–x = 1/3

14/15–1/3 = x

14/15–5/15 = x

9/15 = x

3/5 = x

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Consider a binomial experiment with n = 4 trials where the probability of success on a single trial is p = 0.35. Find P(r ≥ 1) b

mote1985 [20]

Answer:

82.2 %

Step-by-step explanation :

First calculate the normal probability to find the complement.

If the probability of success in a single test is 0.35, then the probability of failure in a single test is 1 - 0.35 = 0.65.

Since there are 4 independent tests and events, the probability that there will be 0 successes of the 4 attempts, is calculated by multiplying it by 4 times, or (0.65) ^ 4 = 0.178.

Not having zero successes, then we automatically know that there must have been at least 1 successful result.

Therefore, if the probability of having 0 successes is 0.178, then the probability of having at least 1 is 1 - 0.178 = 0.822

sería 82.2 % la probabilidad

6 0

3 years ago

In 2012, the world population was 7.02 billion. The birth rate had stabilized to 134 million per year and is projected to remain

xeze [42]

Answer:

$(a)\ \frac{dP}{dt} = 0.078- 0.000857t$

$(b)\ P = 0.078t- 0.0004285t^2 + 7.02$

$(c)\ 9.37\ billion$

Step-by-step explanation:

Given

In 2012

$P(t) = 7.02\ billion$

$R_1 = 134\ million/year$ --- Birth rate

$R_2 = 56\ to\ 80$ -- Death rate from '12 to '40

Solving (a): Equation for population from 2012

In 2012, we have the addition in population to be:

$\triangle P= Birth - Death$

$\triangle P= 134 - 56$

$\triangle P = 78$ million

From 2012 to 2040, we have the death rate per year to be:

$Rate/yr = \frac{80 - 56}{2040 - 2012}$

$Rate/yr = \frac{24}{28}$

$Rate/yr = \frac{6}{7}$ million/year

So, the differential equation is:

$\frac{dP}{dt} = \triangle P - Rate/yr * t$ where t represents time

$\frac{dP}{dt} = 78 - \frac{6}{7} * t$

$\frac{dP}{dt} = 78 - \frac{6t}{7}$

Express in millions

$\frac{dP}{dt} = \frac{78}{1000} - \frac{6t}{7000}$

$\frac{dP}{dt} = 0.078- 0.000857t$

Solving (b): The solution to the equation in (a)

$\frac{dP}{dt} = 0.078- 0.000857t$

Make dP the subject

$dP = (0.078- 0.000857t)dt$

Integrate both sides

$\int dP = \int (0.078- 0.000857t)dt$

$P = \int (0.078- 0.000857t)dt$

This gives:

$P = 0.078t- \frac{0.000857t^2}{2} + c$

$P = 0.078t- 0.0004285t^2 + c$

Solve for c.

When t = 0; P = 7.02

So, we have:

$7.02 = 0.078*0- 0.0004285*0^2 + c$

$7.02 =0-0 + c$

$7.02 =c$

$c = 7.02$

So:

$P = 0.078t- 0.0004285t^2 + c$

$P = 0.078t- 0.0004285t^2 + 7.02$

Solving (c): The population in 2050

We have:

$P = 0.078t- 0.0004285t^2 + 7.02$

In 2050, the value of t is:

$t = 2050 - 2012$

$t = 38$

So, the expression becomes

$P = 0.078*38- 0.0004285*38^2 + 7.02$

$P \approx 9.37\ billion$

3 0

3 years ago

If 20 - 2 = 15, what is the value of 3x ?

9966 [12]

Answer:

x = 1

Step-by-step explanation:

20-2 = 18, now -3x = 15

3 0

4 years ago

Read 2 more answers

Find the slope of the graph given below

Marina CMI [18]

2/1x or 2x since it rises 2 and runs 1 and it’s going right so it’s positive

4 0

3 years ago

HELP I HAVE 5 MIN LEFTTT

SOVA2 [1]

Answer:

yes its correct

Step-by-step explanation:

5 0

3 years ago