5/3 - x + 1/3 answer?

Given P(A)=0.78P(A)=0.78, P(B)=0.65P(B)=0.65 and P(A\cup B)=0.873P(A∪B)=0.873, find the value of P(A\cap B)P(A∩B), rounding to t

Sever21 [200]

Answer:

$P(A\ n\ B) = 0.557$

Step-by-step explanation:

Given

$P(A) = 0.78$

$P(B) = 0.65$

$P(A\ u\ B) = 0.873$

Required

Determine $P(A\ n\ B)$

From laws of probability, we have:

$P(A\ n\ B) = P(A) + P(B) - P(A\ u\ B)$

Substitute in values

$P(A\ n\ B) = 0.78 + 0.65 - 0.873$

$P(A\ n\ B) = 0.557$

Hence, $P(A\ n\ B)$ is calculated to be 0.557

8 0

2 years ago

It is 10:30pm and my brain is not cooperating with me.

r-ruslan [8.4K]

Answer:

$v = 180 {cm}^{3}$

Step-by-step explanation:

V= lwh or l *w*h

Length: 15

Width: 3

Height:4

V=15*3*4

V=180

5 0

1 year ago

Read 2 more answers

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters. (a) Determine the

maxonik [38]

Answer:

a) 0.5 = 50% of flanges exceed 1 millimeter.

b) A thickness of 0.96 millimeters is exceeded by 90% of the flanges

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

$P(X > x) = \frac{b - x}{b - a}$

The thickness of a flange on an aircraft component is uniformly distributed between 0.95 and 1.05 millimeters.

This means that $a = 0.95, b = 1.05$

(a) Determine the proportion of flanges that exceeds 1.00 millimeters.

$P(X > 1) = \frac{1.05 - 1}{1.05 - 0.95} = \frac{0.05}{0.1} = 0.5$

0.5 = 50% of flanges exceed 1 millimeter.

(b) What thickness is exceeded by 90% of the flanges?

This is x for which:

$P(X > x) = 0.9$

So

$\frac{1.05 - x}{1.05 - 0.95} = 0.9$

$1.05 - x = 0.9*0.1$

$x = 1.05 - 0.9*0.1$

$x = 0.96$

A thickness of 0.96 millimeters is exceeded by 90% of the flanges

4 0

3 years ago

Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and

sergij07 [2.7K]

Answer:

a) sample size is 40

Step-by-step explanation:

(a)

$\sigma=4$ minutes

Margin of error, E is 75 seconds E=75/60= 1.25 minutes.

The level of significance $\alpha= 0.05$ for 95% level of significance

For 95% confidence interval $z_{\frac{\alpha}{2}}=1.96$ from standard deviation table

Sample size required, n

$n=\left (\frac{z_{\frac{\alpha}{2}}\cdot \sigma}{E} \right )^{2}=\left (\frac{1.96\cdot4}{75/60} \right )^{2}=39.337984$

Rounding off, n=40

Sample size =40

Keywords:

95% confidence, sample size, Wall Street Journal

3 0

3 years ago

I need help on 2 questions !

Fudgin [204]

4. Yes, line L is parallel to M because they do not intersect, the angles do not matter.

5.

A. 2 and 3 would be Alt. Int. Angles.

B. 2 and 4 are congruent angles.

6 0

3 years ago