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azamat
4 years ago
5

Complete the equation below to show a way to write 5/38 as a fraction

Mathematics
1 answer:
vaieri [72.5K]4 years ago
6 0
5/38 is 0.13 because you have to divide them
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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 <em>X</em> represent the time a child spends waiting at for the bus as a school bus stop.

The random variable <em>X</em> 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 <em>X</em> 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
Pedro has a bag of flour that weighs 9/10 pound. he uses 2/3 of the bag to make gravy. how many pounds of flour does pedro use t
BARSIC [14]
Here is the solution of the given problem above.
First, let's analyze the question. 
Given: 1 bag = 9/10 pound
            2/3 bag = ? pound
What we are going to do is to divide 9/10 pound to 3.
so 9/10 divided by 3 and we get 9/30 and to simplify that, 3/10.
So per 1/3 of the bag, there is 3/10 pound. 
To get the weight for 2/3 of the bag, we multiply 3/10 by 2 and we get 6/10 or to simplify it, it is 3/5. Therefore, the 2/3 bag weights 3/5 pound. Hope this answer helps.
7 0
3 years ago
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Twelve boys and fourteen girls decide to rent a 16 passenger van and a 10 passenger van to drive to a
elena55 [62]
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6 0
3 years ago
Peter and his four brothers combined all of their money to buy a video game. If 30% of the total money is Peter's, and $12.00 of
kari74 [83]

Answer:

$20.00

Step-by-step explanation:

t represents the total amount

0.25t = 5.00

Can you solve for t and answer?

Or logically

Peter's $5.00 is 1/4 (25%) of the total.

Therefore 4/4 is $20.00

6 0
2 years ago
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Can someone please help me
sergij07 [2.7K]

Answer:

m∠TSP = 53°

Step-by-step explanation:

m∠RSU and m∠TSP are vertical angles

3 0
3 years ago
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