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Nana76 [90]
3 years ago
15

The digits 1, 2, 3, 4, 5, 6, and 7 are randomly arranged to form a? three-digit number. ? (digits are not? repeated.) find the p

robability that the number is even and greater than 700.
Mathematics
1 answer:
lubasha [3.4K]3 years ago
4 0
Nice twist of similar questions.
There are 7*6*5=210 possible 3-digit numbers formed by digits 1-7 without repetition.
For numbers greater than 700, the first digit must be 7.
Of the 30, the last digit must be a 2,4, or 6 to be an even number, that leaves 3 possibilities for the last digit.
The middle digit can be any number of the remaining 5 digits.
So the number of qualifying candidates would be
1*5*3=15 (1 for the first digit, 5 choices for the second, and 3 choices for the last digit).
Probability of randomly choosing a qualifying candidate (>700 & even) is therefore 15/210=1/14
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Create a dot plot showing a uniform distribution.
Marina86 [1]

Answer:

You can also use a dot plot to identify the shape of a distribution. All the dots are about the same height. A uniform distribution is also symmetric. The data on the right of the distribution are approximately a mirror image of the data on the left of the distribution.

5 0
3 years ago
In​ 2012, the population of a city was 6.27 million. The exponential growth rate was 1.47​% per year.
Tcecarenko [31]

Answer:

a) a(t)= 6.27e^{0.0147*t}

b) 6.84 million

c) 2028.52

d) 47 years

Step-by-step explanation:

a)Here we know standard exponential growth rate is

a(t)= ae^{k*t}

In this put t=0 and a(t)=6.27 million

thus we get a = 6.27 million

now \frac{da}{dt}=a(t)k

  this is equal to(in 2012)=\frac{1.47}{100}*=0.0147

b)Put t = 6

we get

a(t)= 6.27e^{0.0147*6}

=6.84 million

c) 8 = 6.27e^{0.0147*t}

  take log both sides

we get 16.52 years

d) 2*6.27=6.27e^{0.0147*t}

take log both sides we get 47 years to get double the current population.

3 0
2 years ago
F(m)=m^4-6m^3+5m^2+10m-4 at m=4
Alexandra [31]

Answer:

F(m) = -12

Step-by-step explanation:

Given the function:

F(m)=m^{4}-6m^{3}+5m^{2}+10m-4

When m = 4, we substitute the variable 'm' for the number 4:

F(m)=4^{4}-6(4)^{3}+5(4)^{2}+10(4)-4

F(m) = 256 - 384 + 80 + 40 - 4

F(m) = -12

6 0
3 years ago
10÷652.3 please help me​
professor190 [17]

Answer:

0.01533036946190

Step-by-step explanation:

10÷652.3

0.01533036946190

6 0
3 years ago
Read 2 more answers
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Bezzdna [24]
9(3j-6) = 27j - 54

<span>Note: a(b-c) = ab - ac</span>
8 0
2 years ago
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