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Reptile [31]
3 years ago
5

Please solve this question ​

Mathematics
1 answer:
larisa86 [58]3 years ago
8 0

Answer:

P (A) = 0.45

Step-by-step explanation:

The addition rule of probability states that:

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

Given:

P(A\cup B) = 0.7\\P(A\cap B) = 0.1\\P(B) = 0.35

Compute the value of P (A) as follows:

P(A\cup B)=P(A)+P(B)-P(A\cap B)\\P(A)=P(A\cup B) + P(A\cap B) - P(B)\\= 0.7 +0.1-0.35\\=0.45

Thus, the probability of <em>A</em> is, P (A) = 0.45.

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An entrepreneur faces many bureaucratic and legal hurdles when starting a new business. The World Bank collects information abou
slamgirl [31]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Rearranged data:

5, 5, 5, 5, 6, 7, 7, 7, 8, 12, 12, 13, 13, 15, 18, 18, 27, 28, 36, 48, 52, 60, 66, 94

Start time for Suriname = 694

Mean = ΣX / n

Mean = (567 + 694) / (24 + 1) = 1261 / 25 = 50.44

B.) median start Time for initial 24 values

0.5(n+1)th term

0.5(25) = 12.5th term

(13 + 13) / 2 = 13

C.) preferred measure of center for the distribution will be the median as it shapes well in the middle of the distribution. The mean is overestimated

d) Compute the quartiles (Q1, Q2, Q3), and find the IQR for these data. Are there outliers in the time to start a business data set? If so, identify and name any outliers.

Using calculator :

Lower quartile Q1 --> 7

Median Q2 --> 13

Upper quartile Q3 --> 42

IQR = (Q3 - Q1) = 42 - 7 = 35

OUTLIER:

Lower bound : Q1 - 1.5(IQR) ; 7 - 1.5(35) = - 45.5

Upper bound : Q3 + 1.5(IQR) = 42 + 1.5(35) = 94.5

Outlier : values below - 45.5 and above 94.5

Hence, Surimanes start time is the only Outlier.

e)

Standard deviation for 24 countries :

Standard deviation = sqrt[Σ(X - mean)^2 / (N - 1)]

Usibg calculator :

Standard deviation for the 24 countries is 23.83

f)

Standard deviation

5 0
2 years ago
6 cm<br> 16 cm<br> What is the volume of the cylinder?
jenyasd209 [6]

V = 576 pi cm^3

Step-by-step explanation:

The volume of a cylinder is given by

V = pi r^2 h  where r is the radius and h is the height

V = pi * (6)^2 * 16

V = pi *36*16

V = 576 pi cm^3

5 0
2 years ago
Identify the like terms and terms <br> 1.4c + 11.4 - 2c - 7.3c =
Pavel [41]
Like terms:
1.4c, -2c, -7.3c
11.4 has no like terms


3 0
3 years ago
I need the answer fast please
shusha [124]
The diameter of the circle is needed. But to solve, you would simply multiply the diameter of the circle by pi (3.14).
3 0
2 years ago
Which graph shows a negative rate of change for the interval 0 to 2 on the x-axis
Lena [83]

Answer:

-2

Step-by-step explanation:

3 0
3 years ago
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