Help Me with theses four questions please ty

Mathematics

2 answers:

Alex_Xolod [135]4 years ago

5 0

1. 135.4896pi m^2
2. 39.69pi cm^2
3.1017 mm^2
4.225pi cm^2

The formula for these problems is

kondor19780726 [428]4 years ago

4 0

1. 135.4896pi m^2
2. 39.69pi cm^2
3.1017 mm^2
4.225pi cm^2

The formula for these problems is $A= \pi r^{2}$

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During a game, Dennis lost 50 points in the first round and then lost 75 more points in the second round. Write an addition expr

zysi [14]

Answer:

-125

Step-by-step explanation:

add 50 and 75 =125 make in negative

5 0

3 years ago

How do you sole this question kelpie sold cameras on her web site. She bought the cameras for $65 each included a 60% markup to

postnew [5]

So 65 dollars was what she paid
each camera INCLUDED a 60% mark UP so
she sold each at a 60% markup

65 dollars=100% of origonal camers
she sold them for 100+60=160% of origonal price
65 dollars=100%
percent means parts out of 100 so
160%=160/100=1.6

find 160% of 65
'of' means multiply so
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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:

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

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