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igomit [66]
3 years ago
6

Choose the product.

Mathematics
1 answer:
Natalka [10]3 years ago
5 0

Answer:

-20p 5 - 15p 4+ 5p 3

Step-by-step explanation:

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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
Which expression is equivalent to (53)−2?
faust18 [17]
a^{-n}=\dfrac{1}{a^n}\\(a^n)^m=a^{n\cdot m}\\\\(5^3)^{-2}=5^{3\cdot(-2)}=5^{-6}=\dfrac{1}{5^6}=\dfrac{1}{5\cdot5\cdot5\cdot5\cdot5\cdot5}
4 0
3 years ago
Read 2 more answers
Q8
IRINA_888 [86]

Answer:

Ethan

Question b is incomplete

Step-by-step explanation:

Given the masses of the 6 insects below :

Name of Insect ______ Mass (m)

Arthur _____________ 7.8259

Bethan ____________ 7.2659

Clarry ______________8.159

Deena _____________ 7.4559

Ethan ______________ 8.9459

Freya ______________ 7.0159

Write the name of the stick insect with m > 8.85g

Mass (m) greater than 8.55 g

From the table :

8.945 > 8.55 ;

Hence, Ethan

(b) Write the name of the stick insect with m s 7.155 g

Question b isn't complete

7 0
3 years ago
Using the graph below, describe the acceleration, position, and force at each of the
STALIN [3.7K]

Answer:

Step-by-step explanation:

<u><em>(1). 2 m / s²</em></u>

<u><em>(2). 0 m / s²</em></u> { Change from the previous section is - 2 m / s² }

<u><em>(3). - 8 m / s²</em></u> { Change from the previous section is - 8 m / s² }

<u><em>(4). - 1 m / s²</em></u> { Change from the previous section is + 7 m / s² }

<u><em>(5). 0 m / s²</em></u> { Change from the previous section is + 1 m / s² }

4 0
2 years ago
The table shows the race time, in minutes, for five runners.
Nikitich [7]
The range is 7
21-14=7
5 0
3 years ago
Read 2 more answers
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