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Llana [10]
3 years ago
11

Lydia is a project manager and submitted proposals for two different projects, Project X and Project Y to her boss. The probabil

ity of getting project X approved is 0.65. The probability of getting project Y approved is 0.77. The probability of getting at least one of the projects approved 0.90. The two projects are independent.
a. True
b. False
Mathematics
1 answer:
mixer [17]3 years ago
5 0

Answer:

b. False

Step-by-step explanation:

P(X & Y) = 0.77 + 0.65 - 0.9 = 0.52

P(X) × P(Y) = 0.65×0.77 = 0.5004

Since P(X&Y) and P(X)×P(Y) are not equal, they are not independent

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9 + 4 to the third power x (20-8) / 2 + 6
harkovskaia [24]

1110.5 is the answer and your welcome

5 0
2 years ago
Diego said that the awnser to the question "How many groups of 5/6 are in 1?" Is 6/5 or 1 1/5.Do you agree with his statement? E
slamgirl [31]

Answer:

Diego is correct.

He has correctly divided 1 in groups of \frac{5}{6}.

Step-by-step explanation:

The question 'How many groups of 5/6 are in 1?'  means that we need to divided 1 into groups of \\frac{5}{6}.

When we form groups from a given total, we divided the total by the size of the group.

If we are dividing N number of people in groups of x number of people, then the expression to find the number of groups formed can be given as:

⇒ \frac{N}{x}

For this question the data given is:

N=1

x=\frac{5}{6}

So, the number of groups formed can be given as:

⇒ \frac{1}{\frac{5}{6}}

When divisor is a fraction, then we multiply the reciprocal of the divisor with the dividend.

⇒ 1\times\frac{6}{5}

⇒ \frac{6}{5}

In order to convert fraction to mixed number we will divide numerator with denominator and then write the quotient as whole number, remainder as numerator and the denominator remains as it is.

On dividing 6 by 5, the quotient =1 and remainder =1. Thus the mized number is:

⇒ 1\frac{1}{5}

Thus, there are \frac{6}{5} or 1\frac{1}{5} groups in 1. This matches with Diego's answer and hence he is correct.

3 0
3 years ago
What is the value of x?<br> Original 9 inches - 6 feet<br> Enlargement 12 inches - x feet
ololo11 [35]

Answer:

Step-by-step explanation:

5 0
3 years ago
Researchers fed mice a specific amount of Toxaphene, a poisonous pesticide, and studied their nervous systems to find out why To
Mkey [24]

Answer:

a. The mean refractory period= 1.85 and the standard error = 0.06455

b.  90% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment = 1.6981, 2.0019

c. Yes, the data give good evidence to support this theory

Step-by-step explanation:

a.  The table below shows the calculations:

                 X                (X-mean)^2

                1.7             0.0225

                1.8                 0.0025

                1.9                 0.0025

                2.0                 0.0225

Total        7.4                  0.05

Sample size: n=4

The mean is:  \bar{x} = \frac{7.4}{4} = 1.85

The sample standard deviation, s = \sqrt{\frac{\sum \left ( x-\bar{x} \right )^{2}}{n-1}}=0.1291

The standard error, se= \frac{s}{\sqrt{n}}=\frac{0.1291}{2} = 0.06455

b. Degree of freedom: df = n-1 = 3

Critical value of t for 90% confidence interval is: 2.3534

The confidence interval is  \bar{x}\pm t_{c}se = 1.85\pm 2.3534\cdot 0.06455=1.85\pm 0.1519 = (1.6981, 2.0019)

c. The Hypotheses are:

H_{0}:\mu=1.3,H_{1}:\mu>1.3

So the test statistics will be

t=\frac{\bar{x}-\mu}{s/\sqrt{n}}=8.52

The p-value is: 0.0017

We reject the null hypothesis because p-value is less than 0.05 . This indicates that the data gave good evidence to support this theory.

4 0
3 years ago
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