5 digit number with no repeats
1st digit has 9 possibilities
2nd digit has 8 possibilities
3rd digit has 7 possibilities
4th digit has 6 possibilities
5th fight has 5 possibilities
Therefore the answer is:
9 x 8 x 7 x 6 x 5 = 72 x 210 = 15,120
Answer:
The test statistics is
The p-value is 
Step-by-step explanation:
From the question we are told
The West side sample size is 
The number of residents on the West side with income below poverty level is 
The East side sample size 
The number of residents on the East side with income below poverty level is 
The null hypothesis is 
The alternative hypothesis is 
Generally the sample proportion of West side is

=> 
=> 
Generally the sample proportion of West side is

=> 
=> 
Generally the pooled sample proportion is mathematically represented as

=> 
=> 
Generally the test statistics is mathematically represented as
![z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2} ]} }](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%5C%5E%20%7Bp%7D_1%20-%20%5C%5E%7Bp%7D_2%7D%7B%5Csqrt%7Bp%281-%20p%29%20%5B%5Cfrac%7B1%7D%7Bn_1%20%7D%20%2B%20%5Cfrac%7B1%7D%7Bn_2%7D%20%20%5D%7D%20%20%7D)
=>
=>
Generally the p-value is mathematically represented as

From z-table
So

Answer:
<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>
Step-by-step explanation:
Let's recall that the interior angles of a triangle add up to 180°, therefore we have:
Smallest angle = x
Largest angle = 7x
Third angle = 7x - 15
Now, we can solve for x, using the following equation:
x + 7x + 7x - 15 = 180
15x = 180 + 15
15x = 195
x = 195/15
x = 13 ⇒ 7x = 91 ⇒ 7x - 15 = 76
<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>
Answer:
The system of equations is
Step-by-step explanation:
Let
x ----> the number of minutes of calling time
y ----> the monthly cost of the calling plan
we know that
The linear equation in slope intercept form is equal to

where
m is the slope
b is the y-intercept
In this problem
Plan A

substitute
----> equation A
Plan B

substitute
----> equation B
therefore
The system of equations is