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3 years ago

How much is x? Round it to the nearest tenth.

Mathematics

1 answer:

valkas [14]3 years ago

8 0

Answer:

The answer is 7.3

Step-by-step explanation:

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Suppose the time a child spends waiting at for the bus as a school bus stop is exponentially distributed with mean 7 minutes. De

Gala2k [10]

Answer:

The probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

Step-by-step explanation:

Let the random variable X represent the time a child spends waiting at for the bus as a school bus stop.

The random variable X is exponentially distributed with mean 7 minutes.

Then the parameter of the distribution is, $\lambda=\frac{1}{\mu}=\frac{1}{7}$ .

The probability density function of X is:

$f_{X}(x)=\lambda\cdot e^{-\lambda x};\ x>0,\ \lambda>0$

Compute the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning as follows:

$P(6\leq X\leq 9)=\int\limits^{9}_{6} {\lambda\cdot e^{-\lambda x}} \, dx$

$=\int\limits^{9}_{6} {\frac{1}{7}\cdot e^{-\frac{1}{7} \cdot x}} \, dx \\\\=\frac{1}{7}\cdot \int\limits^{9}_{6} {e^{-\frac{1}{7} \cdot x}} \, dx \\\\=[-e^{-\frac{1}{7} \cdot x}]^{9}_{6}\\\\=e^{-\frac{1}{7} \cdot 6}-e^{-\frac{1}{7} \cdot 9}\\\\=0.424373-0.276453\\\\=0.14792\\\\\approx 0.148$

Thus, the probability that the child must wait between 6 and 9 minutes on the bus stop on a given morning is 0.148.

6 0

3 years ago

Sigma notation can someone help me understand this and give an example...

timofeeve [1]

Answer:

Simple sum. The symbol Σ (sigma) is generally used to denote a sum of multiple terms. This symbol is generally accompanied by an index that varies to encompass all terms that must be considered in the sum.

4 0

3 years ago

What would the answer be to this

Vladimir79 [104]

Answer:

265.2

Step-by-step explanation:

3(6*13)=234

2*15.6=31.2

234+31.2=265.2

6 0

3 years ago

How to solve. C=3p+5 solve for c

Elenna [48]

Answer:

1. Slope =0.667/2.000=0.333

2.c-intercept = 5/1=5.00000

3.p-intercept=5/-3= -1.66667

6 0

3 years ago

For f(x) = 4x+1 and g(x) = x^2 -5, find (f-g)(x)

d1i1m1o1n [39]

Answer:

(f-g)(x) is given by -x^2+4x+6

Step-by-step explanation:

4 0

2 years ago