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Mathematics

2 answers:

Darina [25.2K]3 years ago

3 0

Answer:

Step-by-step explanation:

Okay we know the length is 5 inches if this is a square then the width is 5 inches as well. This is because 5 x 5 = 25

den301095 [7]3 years ago

3 0

Answer:

equal the 4 sides

Step-by-step explanation:

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A students cost for last summer at her community college was 2800. She spent 560 of that in books. What percent of last semester

svetoff [14.1K]

Form the ratio 560/2800 and then mult. the result by 100%:

560

--------- * 100% = 20%

2800

3 0

3 years ago

linda earns $90,000 per year. if she does not work for 2 months in a year, how much money would she earn?

Llana [10]

She would earn 75,000 if she did not work for two months out the year.

8 0

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:

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

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