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olganol [36]
3 years ago
11

Graph the solution of the inequality on the number line.

Mathematics
1 answer:
STatiana [176]3 years ago
6 0

Answer:

x<-1 so open circle going to the left

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(3 points) Blades of grass Suppose that the heights of blades of grass are Normally distributed and independent, with each heigh
NemiM [27]

The final answer is:

a) P( Y < 42.5 )  = 0.8541

b) P( 39.5 < Y < 40.5 ) = 0.1670.

What is the normal distribution?

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

If x follows a normal distribution with mean μ and standard deviation σ then the distribution of

\sum_{i =1}^{n}x_{i}  follows an approximately normal distribution with a mean n\mu and standard deviation \sqrt{n }\sigma

let x be the height of blades of grass

x follows normal distribution with mean = μ = 4 and standard deviation = σ = 0.75.

Y = x1 + x2 +...........+x10

Y = \sum_{i =1}^{10}x_{i}

Distribution of Y is normal with,

Mean = \mu _{y}=10*4 = 40 and standard deviation = \sigma _{y}=\sqrt{10}*0.75 = 2.3717

a)

P( Y < 42.5 )

Using normal distribution formmula,

f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}

=NORMDIST( x, mean, SD , 1 )      

=NORMDIST(42.5, 40, 2.3717, 1 )

=0.8541

P( Y < 42.5 )  = 0.8541

b)

P( 39.5 < Y < 40.5 ) = P( Y < 40.5 ) - P( Y < 39.5 )

Using normal distribution formmula,

f(x)= {\frac{1}{\sigma\sqrt{2\pi}}}e^{- {\frac {1}{2}} (\frac {x-\mu}{\sigma})^2}

P( Y < 40.5 )  =NORMDIST(40.5, 40, 2.3717, 1 ) = 0.5835

P( Y < 39.5 ) = NORMDIST(39.5, 40, 2.3717, 1 ) = 0.4165

P( 39.5 < Y < 40.5 ) = 0.5835 - 0.4165  = 0.1670

P( 39.5 < Y < 40.5 ) = 0.1670

Hence, the final answer is:

a) P( Y < 42.5 )  = 0.8541

b) P( 39.5 < Y < 40.5 ) = 0.1670.

To learn more about the normal distribution visit,

brainly.com/question/4079902

#SPJ4

5 0
1 year ago
What number is 10% of 42
vampirchik [111]

Answer:

4.2

Step-by-step explanation:

10% of 42 is 4.2

3 0
3 years ago
Read 2 more answers
What is the value of this expression?
professor190 [17]

Answer:

8

Step-by-step explanation:

so the top would equal 250000 and the bottom part of this equation would equal 125000. So you'd do 250000/125000 = 2. After that you would do        2 x 2 x 2 which gives you 8.

3 0
3 years ago
a town has a population of 10000 and growns at 2.5% every year what will be the population in 7 years
kaheart [24]

Answer:

The population after 7 years will be 11887

Step-by-step explanation:

Given

Population = P_0 = 10000

Growth Rate = r = 2.5%

Time = t = 7

The formula for calculating the population after given time at given rate is:

The population after 7 years will be 11887

Step-by-step explanation:

4 0
2 years ago
Joe owes his sister Lisa $12 and his sister kelly $18 his brother David owes joe $20. Joe writes the number -12 to represent the
klio [65]
The answer is David, because $20 is the biggest 

4 0
3 years ago
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