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3 years ago

(1/2x-3/8) ÷1/3+4/7(5-1/4x)

Mathematics

1 answer:

STALIN [3.7K]3 years ago

6 0

Answer:

$\frac{19}{14}x + \frac{97}{56}$

Step-by-step explanation:

I've written my working in the picture. I hope it's clear. :,)

I've expanded the brackets, simplied the fractions before simplifying them again, having found the common denominators of the constants and x terms.

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3 years ago

7x-4=5x+15 solve the following equation

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3 years ago

What is the greatest common factor of 250, 45, and 30?

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3 years ago

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.

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3 years ago

I need help with this question

pav-90 [236]

Answer:

Pearson Math Book nice.

Step-by-step explanation:

I think the 11 ounces because thats the accurate one and determine if its regular or rush. Hope that helps.

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2 years ago