It is possible to calculate mathematically the area under the normal curve between any two values of z.
However, tables/software have been developed to give the areas under the normal curve to the left of particular values of z. The function is the probability of Z<z, or P(Z<z).
The area between two values z1 and z2 (where z2>z1) is therefore
P(Z<z2)-P(Z<z1).
For example, to find the area between z1=1.5, z2=2.5
is
P(Z<2.5)-P(Z<1.5)
=0.99379-0.93319
=0.06060
(above values obtained by software, such as R)
For example, the value P(Z<2.5) can be calculated using
P(Z<2.5)=erf(2.5/sqrt(2))/2+1/2
where erf(x) is a mathematical function that does not have an explicit formula (calculated by summation of series, or tabulated).
If you sketch the path of the boat, you will form a right triangle towards the port. The distance from the port to the present position is the hypotenuse since it is opposite from the right angle formed by the 12 miles north and 5 miles east movement. Since it is a right triangle, use the Pythagorean Theorem to solve the hypotenuse.
Solution:
h² = o² + a²
h² = 12² + 5²
h² = 144 + 25
h² = 169
√h² = √169
h= 13
The present distance of the boat from the port is 13 miles.
Answer:
question? haven't learn this yet but try asking desmos that app helps me a lot!
ANSWER
See attachment.
EXPLANATION
The given function is
![y = \sqrt[3]{x + 1} - 2](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%20%2B%201%7D%20%20-%202)
The parent function is
![y = \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B3%5D%7Bx%7D%20)
When we shift the parent graph to the left one unit, and down 2 units, we obtain the graph of the given function.
The graph of this function is shown in the attachment.
Answer:
$88.65
Step-by-step explanation:
To find the amount of total tips, multiply 3,546.12 by 0.15 (the decimal conversion of 15%).
3546.12(0.15) = 531.918
This is the total amount of tips for the night. This is divided evenly between 6 waitresses.
531.918 / 6 = 88.65
