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3 years ago

N(U) =25,n(A)= 16 ,n°(B)=2 & n(AUB)=?

Mathematics

2 answers:

Whitepunk [10]3 years ago

8 0

Answer:

Step-by-step explanation:

n(AUB) = n(A) + n⁰(B)

= 16 + 2

= 18

sweet [91]3 years ago

7 0

Answer:

Step-by-step explanation:

n(AUB) = n(A) + n⁰(B)

= 16 + 2

= 18

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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and

egoroff_w [7]

Answer:

a) $P(140$

$P(0.036$

b) $P(140< \bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Part a

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

$X \sim N(139,28.1)$

Where $\mu=139$ and $\sigma=28.1$

We are interested on this probability

$P(140$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(140$

And we can find this probability like this:

$P(0.036$

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.

$P(0.036$

Part b

For this case we select a sample size of n =32. Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is given by:

$\bar X \sim N(\mu=139, \frac{\sigma}{\sqrt{n}}=\frac{28.1}{\sqrt{32}}=4.97)$

And the new z score would be:

$Z=\frac{\bar X -\mu}{\sigma_{\bar x}}$

$P(140< \bar X$

5 0

3 years ago

Quincy's retirement party will cost $30 if he invites 10 guests. If there are 16 guests, how much will Quincy's retirement party

3241004551 [841]

Answer:

$48

30/10 is equal to 3/1, 16 x 3 equals to 48.

8 0

2 years ago

Read 2 more answers

Need some help please!!

ella [17]

Answer:

The other point on the diameter which is also on the circle is; (-3, 2)

Step-by-step explanation:

The center of the circle, also a point where the diameter crosses, is (3, 6)

The diameter touches the circle at point (9, 10)

The displacement is (9 - 3, 10 - 6) = (6, 4)

This means that we move, +6 units along the x-axis and +4 units along the y-axis , from the center of the circle in order to reach point (9, 10)

If we want to reach the other point on the diameter which also on the circle, we move -6 units along the x-axis and -4 units along the y-axis to get;

(3, 6) - (6, 4) = (-3, 2)

6 0

3 years ago

You guysss pls help me

hichkok12 [17]

Answer:

option B) $\frac{1}{12}$

Step-by-step explanation:

According to the given conditions, the total number of outcomes are 24.

The probability that of drawing hearts card is

P= $\frac{(total number of hearts cases)}{(total number of cases)}$

total number of hearts cases= 6

thus P= $\frac{6}{24} = \frac{1}{4}$

now the probability of 4 or 6 is,

P= $\frac{(total number of 4 or 6 cases)}{(total number of cases)}$

thus P= $\frac{8}{24} = \frac{1}{3}$

thus, by multiplication law,

final probality is P= $(\frac{1}{4})(\frac{1}{3})$

P= $\frac{1}{12}$

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3 years ago

Helppppp this is timed

telo118 [61]

Answer: In order to convert Celsius to Fahrenheit, you will need to use this formula: F = 9/5C + 32. Therefore, you will need to solve for C or substitute values and solve in that manner. To find Fahrenheit temperature for -20 degrees Celsius, you can just plug it into the formula

Step-by-step explanation:

6 0

3 years ago

N(U) =25,n(A)= 16 ,n°(B)=2 & n(AUB)=?​

N(U) =25,n(A)= 16 ,n°(B)=2 & n(AUB)=?