Answer:
The value of the test statistic is 
Step-by-step explanation:
In this problem, we have that:
Null hypothesis

Alternate hypothesis

Compute the value of the test statistic.
This is the value of t, given by

In this problem, we have that:
.
So

The value of the test statistic is 
Answer:
the slope is -3/4
Step-by-step explanation:
this is because you need to do rise/run not run/rise, you set it up as a table
<u>x l y</u> Then, you would just find the difference between the two x coordinates and the two y coordinates, and find whether they increase or decrease
-3,5 you can see that from -3 to postive 1 there
1,2 is an increase of 4. you can also see that from 5 to 2 there is a decrease of 3. The y and x point have to flop places to become rise/run and it shows that the slope is -3/4 :) i hope this helps

We'll assume that there is an equal probability of any position on the wheel, so a
chance for any given number.
We must take the probability of getting a 27, then the probability of getting a 15, and multiply them together to find the chances that they both happen in a row.

I got you fam it's 112! : )
Answer:
x = 162 cards need to be dealt with
Step-by-step explanation:
Given:
- Estimation of likelyhood of next card to be queen, a king, or an ace:
( 64 - 0.2*x ) / ( 208 - x )
Find:
For what values of x is this likelihood greater than 70%?
Solution:
- Use the likely-hood estimation relation and set up the inequality as follows:
( 64 - 0.2*x ) / ( 208 - x ) > 0.7
( 64 - 0.2*x ) > 0.7*( 208 - x )
64 - 0.2*x > 145.6 - 0.7*x
0.5*x > 81.6
x > 163.2
- It would require 162 cards to be dealt with for the probability of next card being queen, a king, or an ace is greater than 70%