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Ksenya-84 [330]
3 years ago
10

Suppose the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water tend to be approximately n

ormally distributed, with a mean of 85 and a standard deviation of 9. What is the probability that a given 1-ml will contain more than 100 bacteria
Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0

Answer: 0.0475

Step-by-step explanation:

Let x = random variable that represents the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water, such that X is normally distributed.

Given: \mu=85,\ \ \sigma=9

The probability that a given 1-ml will contain more than 100 bacteria will be:

P(X>100)=P(\dfrac{X-\mu}{\sigma}>\dfrac{100-85}{9})\\\\=P(Z>1.67)\ \ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Zz)=1-P(Z

∴The probability that a given 1-ml will contain more than 100 bacteria

0.0475.

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What are the vertex and x-intercepts of the graph of the function given below?
olchik [2.2K]
The correct question is
<span>What are the vertex and x-intercepts of the graph of the function given below?
y = x</span>²<span>-2x-35

step 1
convert the equation in the vertex form
y+35=x</span>²-2x
y+35=(x²-2x+1-1)
y+35+1=(x²-2x+1)
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the answer Part a) is
the vertex is the point (1,-36)

Part b) Find the x-intercepts
we know that
the x-intercepts is when y=0
so
y+36=(x-1)²
for y=0
(x-1)²=36
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the x-intercepts are the points
(7,0)  and (-5,0)

the answer part b) is 
the x-intercepts are the points (7,0)  and (-5,0)

the total answer is the option 
<span>A. Vertex: (1, -36); x-intercepts: (7, 0) and (-5, 0)</span>
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