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Vlad [161]
2 years ago
12

Find the surface area. 24 yd 15 yd 15 yd +13 yd 15 yd

Mathematics
1 answer:
ValentinkaMS [17]2 years ago
5 0
For what value of x does 32x - 93x-4 ?
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A cable car starts off with n riders. The times between successive stops of the car are independent exponential random variables
nikitadnepr [17]

Answer:

The distribution is \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

Solution:

As per the question:

Total no. of riders = n

Now, suppose the T_{i} is the time between the departure of the rider i - 1 and i from the cable car.

where

T_{i} = independent exponential random variable whose rate is \lambda

The general form is given by:

T_{i} = \lambda e^{- lambda}

(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:

S_{n} = T_{1} + T_{2} + ........ + T_{n}

S_{n} = \sum_{i}^{n} T_{n}

Now, the sum of the exponential random variable with \lambda with rate \lambda is given by:

S_{n} = f(t:n, \lamda) = \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

5 0
3 years ago
Suppose ACT Composite scores are normally distributed with a mean of 20.6 and a standard deviation of 5.2. A university plans to
zimovet [89]

Answer:

The minimum score required for admission is 21.9.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 20.6, \sigma = 5.2

A university plans to admit students whose scores are in the top 40%. What is the minimum score required for admission?

Top 40%, so at least 100-40 = 60th percentile. The 60th percentile is the value of X when Z has a pvalue of 0.6. So it is X when Z = 0.255. So

Z = \frac{X - \mu}{\sigma}

0.255 = \frac{X - 20.6}{5.2}

X - 20.6 = 0.255*5.2

X = 21.9

The minimum score required for admission is 21.9.

8 0
3 years ago
What is 8 1/5 as a improper fraction
krek1111 [17]

Answer:

41/5

Step-by-step explanation:

So the answer is that 8 1/5 as a decimal is 8.2.

We convert it to an improper fraction which, in this case, is 41/5 and then we divide the new numerator (41) by the denominator to get our answer.

4 0
2 years ago
Is this adjacent or vertical
vazorg [7]

Is there supposed to be an image? Adjacent is adjoining, so like touching each other. Vertical is "up". Horizontal is "side"

4 0
2 years ago
Read 2 more answers
If a triangle has an area of 192 mm2, and the
Debora [2.8K]

Answer:32mm

Step-by-step explanation:

area of triangle = 1/2 *base * height

192mm2 = 1/2 *b* 12mm

192 =6b

base=192/6

base= 32mm

3 0
3 years ago
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