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Natalka [10]
3 years ago
7

My friend needs help again

Mathematics
1 answer:
ICE Princess25 [194]3 years ago
6 0

Answer:

  • 3/2
  • 2/3
  • 3/4

these numbers are limited and you can make sure using a calculator

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This is a valid probability distribution because if you add together the probabilities their sum is 1
abruzzese [7]

Answer:

True

Step-by-step explanation:

7 0
2 years ago
The population, P(t), of China, in billions, can be approximated by1 P(t)=1.394(1.006)t, where t is the number of years since th
vitfil [10]

Answer:

At the start of 2014, the population was growing at 8.34 million people per year.

At the start of 2015, the population was growing at 8.39 million people per year.

Step-by-step explanation:

To find how fast was the population growing at the start of 2014 and at the start of 2015 we need to take the derivative of the function with respect to t.

The derivative shows by how much the function (the population, in this case) is changing when the variable you're deriving with respect to (time) increases one unit (one year).

We know that the population, P(t), of China, in billions, can be approximated by P(t)=1.394(1.006)^t

To find the derivative you need to:

\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=\\\\\mathrm{Take\:the\:constant\:out}:\quad \left(a\cdot f\right)'=a\cdot f\:'\\\\1.394\frac{d}{dt}\left(1.006^t\right)\\\\\mathrm{Apply\:the\:derivative\:exponent\:rule}:\quad \frac{d}{dx}\left(a^x\right)=a^x\ln \left(a\right)\\\\1.394\cdot \:1.006^t\ln \left(1.006\right)\\\\\frac{d}{dt}\left(1.394\cdot \:1.006^t\right)=(1.394\cdot \ln \left(1.006\right))\cdot 1.006^t

To find the population growing at the start of 2014 we say t = 0

P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(0)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^0\\P(0)' = 0.00833901 \:Billion/year

To find the population growing at the start of 2015 we say t = 1

P(t)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^t\\P(1)' = (1.394\cdot \ln \left(1.006\right))\cdot 1.006^1\\P(1)' = 0.00838904 \:Billion/year

To convert billion to million you multiple by 1000

P(0)' = 0.00833901 \:Billion/year \cdot 1000 = 8.34 \:Million/year \\P(1)' = 0.00838904 \:Billion/year \cdot 1000 = 8.39 \:Million/year

6 0
3 years ago
The histogram shows the scores of each participant in a game for a total of 100 participants. What is the ratio of participants
riadik2000 [5.3K]
10/002728182.2777272829 error
8 0
3 years ago
*Easy* & will mark brainest!! Does the image above mean no solution or infinite solutions? please let me know!
jenyasd209 [6]

Answer:

No solution.

Step-by-step explanation:

That image is of the symbol of the empty set. The solution set is empty, which means there is no solution.

8 0
2 years ago
Read 2 more answers
Is 3 times 5 hundreds. Equal 15 hundreds
lapo4ka [179]

Answer:yes 3 times 500 = 1500

Step-by-step explanation: because 3 of 500 = 1500

hope this helps

6 0
2 years ago
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