Answer:
Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips
Step-by-step explanation:
: Mean speed of the new chip is the same as the old chip
: Mean speed of the new chip is greater than the old chip
to calculate the z-statistic we can use the formula:
z=
if we put the numbers then
z=
=4.8171
The probability of this z-statistic is < 0.001 Therefore Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips
Answer:
D. The mathematical expectation of Option A is 1. The mathematical expectation of Option B is 1.5. Option B offers a greater likelihood of advancing to the finish line.
Step-by-step explanation:
The result of a product is odd only when the two numbers are odds.
There are 6*6 = 36 possible outcomes when two dice are rolled. Only 9 of them are a combination of two odd numbers: {1, 1} {1, 3} {1, 5} {3, 1} {3, 3} {3, 5} {5, 1} {5, 3} {5, 5}. Then 36 - 9 = 27 outcomes are even.
P(even) = 27/36 = 0.75
Option A) Mathematical expectation: 0.75*4 + 0.25*(-8) = 1
Option B) Mathematical expectation: 0.75*5 + 0.25*(-9) = 1.5
Answer:
The area of the shaded region is 42.50 cm².
Step-by-step explanation:
Consider the figure below.
The radius of the circle is, <em>r</em> = 5 cm.
The sides of the rectangle are:
<em>l</em> = 11 cm
<em>b</em> = 11 cm.
Compute the area of the shaded region as follows:
Area of the shaded region = Area of rectangle - Area of circle
![=[l\times b]-[\pi r^{2}]\\\\=[11\times 11]-[3.14\times 5\times 5]\\\\=121-78.50\\\\=42.50](https://tex.z-dn.net/?f=%3D%5Bl%5Ctimes%20b%5D-%5B%5Cpi%20r%5E%7B2%7D%5D%5C%5C%5C%5C%3D%5B11%5Ctimes%2011%5D-%5B3.14%5Ctimes%205%5Ctimes%205%5D%5C%5C%5C%5C%3D121-78.50%5C%5C%5C%5C%3D42.50)
Thus, the area of the shaded region is 42.50 cm².
Answer:
I think 2.
Step-by-step explanation:
10, and negative ten
<span>12x = 7y-10y
12x = -3y
-4x= y
y = -4x</span>
