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2 years ago

The Product of a number m and 23

Mathematics

1 answer:

damaskus [11]2 years ago

6 0

Answer:

23m

Step-by-step explanation:

The product of a number m and the numeral 23 is 23m.

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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

2 years ago

The scale of a map is 7ft = 14.4 mi map: ________ ft actual: 24.6 mi

Inessa [10]

The answer to the question can be found by setting up a proportion such as 7/14.4=x/24.6 which gives you 11.9583 ft

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3 years ago

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Jamie took 7 maths tests and got a score of 68,71,71,84,53,62 and 67 .What was Jamie's mode score?

Taya2010 [7]

The modal score would be 71. 71 appears the most in the list.

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2 years ago

HELP ASAP

AlekseyPX

We’ll subtract the exponent in the denominator from the exponent in the numerator, keeping the base the same. Cant be simplified, because the base of the expression in the numerator is y and the base of the expression in the denominator is x.

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2 years ago

3/4 ÷ 1/2 what is the answer to this

Maksim231197 [3]

Dividing by a half is the same as multiplying by two. 3/4 multiplied by 2 is
$1 \frac{1}{2}$
or, in improper fraction form
$\frac{3}{2}$
or, in decimal form, 1.5

5 0

3 years ago

The Product of a number m and 23​

The Product of a number m and 23