Answer:
2.5%
Step-by-step explanation:
It is given that:
lifespans of seals in a particular zoo are normally distributed. The average seal lives 13.8 years and the standard deviation is 3.2 years.
We want to use the empirical rule to estimate the probability of a seal living longer than 7.4
Let's calculate the z-score of 7.4 using
![z = \frac{x - \mu}{ \sigma}](https://tex.z-dn.net/?f=z%20%3D%20%20%5Cfrac%7Bx%20-%20%20%5Cmu%7D%7B%20%5Csigma%7D%20)
![z = \frac{7.4 - 13.8}{3.2}](https://tex.z-dn.net/?f=z%20%3D%20%20%5Cfrac%7B7.4%20-%2013.8%7D%7B3.2%7D%20)
![z = - 2.00](https://tex.z-dn.net/?f=z%20%3D%20%20-%202.00)
According to empirical rule, 95% of the distribution is within 2 standard deviations, i.e (-2 to 2)
So from (-2 to 0), we would have 47.5%
Since we are looking for the area to the left of -2.00 we subtract this from 50%
to get 2.5%
The value of x in the equation is 4.2.
<h3>How to calculate the value?</h3>
It should be noted that the equation given is:
12(-11x + 5) + 7 = 2 (x-9) - 451
This will be computed thus:
12(-11x + 5) + 7 = 2 (x-9) - 451
-132x + 60 + 7 = 2x - 28 - 451
Collect like terms
-132x - 2x = - 28 - 451 - 60 - 7
-130x = -546
Divide
x = 546/130
x = 4.2
The value of x in the equation is 4.2.
Learn more about equations on:
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Answer:
f(x) = -2x² + 2
Step-by-step explanation:
If you remember the y = x² parent graph, you will be able to derive your equation from visualization.
The vertex of this graph would be at (0, 2), so your degree coefficient would be negative. Your y-intercept would also be at (0, 2). Since both 1 and -1 are included, you can tell it is a parabola, and hence the 3rd option is your answer.
Answer:
Only side length and perimeter of one face
Step-by-step explanation:
Given is a cube with measures given in inches.
For a cube
Volume = s^3 where s = side
Hence volume and side are not having linear relation
Perimeter of 1 face = 4s and area =s^2
Obviously 4s and s^2 cannot have linear relationship as degree is diferent
Surface area of cube = 6s^2 but volume = s^3 both have different degrees of s and hence cannot have linear relation
Area of 1 face = s^2 and surface area = 6s^2
THus we get Surface area = 6(area of 1 face) hence can have linear relationship
side length =s and volume = s^3 so cannot have linear relaionship
Side length =s and perimeter = 4s thus having linear relation.
Hence answers are
side length and perimeter of 1 face
area of 1 face and surface area
Set it up into a proportion
84 cal/3/4 cups = x/9 cups
84*9 =3/4x
756=3/4x
x=1008 calories
ANSWER: 1008 claories