Answer:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where 
and 
We select n =100. Since the distribution for X is normal then we know that the distribution for the sample mean 
is given by:
We want this probability:
And we can solve this using the following z score formula:
And if we use this formula we got:
So we can find this probability equivalently like this:
Answer:
Step-by-step explanation:
g(x) is shifted 5 down in the y axis, meaning you have to subtract 5 from the function, and is shifted 4 to the left in the x axis- meaning you have to add to the x's in the function.
Answer:
1512 cm³
Step-by-step explanation:
Formula
Volume of right rectangular prism = Length × Breadth × Height
As given
Two blocks of wood are shaped as right rectangular prisms.
The smaller block has a length of 9 cm, a width of 3 cm, and a height of 7 cm.
As given
The dimensions of the larger block are double the dimensions of the smaller block.
Length of the larger block = 2 × Length of the smaller block
= 2 × 9
= 18 cm
Breadth of the larger block = 2 × Breadth of the smaller block
= 2 × 3
= 6 cm
Height of the larger block = 2 × Height of the smaller block
= 2 × 7
= 14 cm
Put in the formula
Volume of larger wooden block = 18 × 6 × 14
= 1512 cm³
Therefore the volume of the wooden block is 1512 cm³ .
Answer:
The slope is 8
Step-by-step explanation:
because the line is intercepting is the 8
Answer:
The short answer is: yes, the answer to "How do you do?" is "How do you do?" It is also acceptable to reply "I'm fine, and you?" and similar variations. However -- and this is important to the etiquette side of things and not so much the language side -- "how do you do?" is actually not a question!
