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Darya [45]
3 years ago
9

Suppose that a and b are two independent events with p(a)=0.2 and p(b)=0.4. p(a or b.is

Mathematics
1 answer:
Natalka [10]3 years ago
6 0
Recall that

\mathbb P(A\cup B)=\mathbb P(A)+\mathbb P(B)-\mathbb P(A\cap B)

Since A and B are independent, we have \mathbb P(A\cap B)=\mathbb P(A)\cdot\mathbb P(B). So

\mathbb P(A\cup B)=0.2+0.4-0.2\cdot0.4=0.52
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PolarNik [594]

Answer:

12 or 12.1752499

Step-by-step explanation:

3 0
3 years ago
The article "Snow Cover and Temperature Relationships in North America and Eurasia"† used statistical techniques to relate the a
poizon [28]

Answer:

Step-by-step explanation:

From the given information,

The ten observation data on october  snow cover for Eurasia  during the years is 6.5, 12.0, 14.9, 10.0, 10.7, 7.9, 21.9, 12.5, 14.5, 9.2

What would you report as a representative, or typical, value of October snow cover for this period, and what prompted your choice?

For the given data, 21.9 is an outlier, so trimmed mean would be good choice for the researcher,

Remove the smallest and the largest values to compute the trimmed mean

\bar x = \frac{12.0+14.9+10.0+10.7+7.9+12.5+14.5+9.2}{8} \\\\=\frac{91.7}{8} \\\\=11.465

6 0
3 years ago
These are 3 consecutive integers such that 3 times the sum of the first and third is 5 times the second. What is the third integ
Fynjy0 [20]
X=10 is the answer !!!!!!!!!!
8 0
3 years ago
Expand and simplify
coldgirl [10]

Answer:

A) -p + 38

B) k + 1

C) a_n = 4n + 1

D) a_n = 7n - 6

E) a_n = 14 - 4n

Step-by-step explanation:

A) 5(p + 6) - 2(3p + 4)

Multiply out the bracket to get;

5p + 30 - 6p + 8

>> -p + 38

B) 7(k - 2) - 3(2k - 5)

Multiply out the bracket to get;

>> 7k - 14 - 6k + 15

>> k + 1

C) Sequence is;

5, 9, 13, 17, 21

This is clearly an AP(arithmetic progression) because the difference between each term is 4.

Formula for nth term of an AP is;

a + (n - 1)d

Where d is difference and a is first term

Thus;

a_n = 5 + (n - 1)4

a_n = 5 + 4n - 4

a_n = 4n + 1

D) Sequence is 1, 8, 15, 22, 29.

This is also an AP.

Difference is 7.

Thus,nth term is;

a_n = 1 + (n - 1)7

a_n = 1 + 7n - 7

a_n = 7n - 6

E) 10, 6, 2, -2, -6

This is also an AP.

Difference is -4

Thus,

a_n = 10 + (n - 1)(-4)

a_n = 10 - 4n + 4

a_n = 14 - 4n

5 0
3 years ago
For this question what does x equal?
rusak2 [61]

Answer:

Hi again lol. It is complementary so it would equal to 90. The equation is 6x+1+29=90

Step-by-step explanation:

6x+1+29=90

6x+30=90

6x=60

divide both by 6

x=10

Answer: 10

Hope that helped! :)

3 0
3 years ago
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