Answer and Step-by-step explanation:
a - b = 2
= ![\frac{b}{a}](https://tex.z-dn.net/?f=%5Cfrac%7Bb%7D%7Ba%7D)
b = a - 2
a = b + 2
______________
b = b + 2 - 2
b = b
______________
______________
a = a - 2 + 2
a = a
______________
If a equals 0, then the expression is undefined.
If b = 0, then the expression is 0.
There are infinite number of solutions when a is not 0 and the numbers are positive.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
1/2 = 2/4
1/3 = 2/6
3/4 = 9/12
2/5 = 4/10.
hope that helped
Answer:
In the explanation. :)
Step-by-step explanation:
Use the slope-intercept form
y
=
m
x
+
b
to find the slope m and y-intercept b
.
Slope: 1/4
y-intercept:
(0,-3)
Hope this helps. Have a great day!
Answer:
3
Step-by-step explanation:
Answer:
p-value: 0 .1292
Step-by-step explanation:
Hello!
The objective is to test if it is profitable to expand supply delivery. The company thinks that if more than 59% (symbolically p > 0.59) of the items are selling out in the markets, then it is profitable to increase the deliveries.
A sample of 48 markets was taken and it was registered that the item was sold out in 32 of them.
The study variable is.
X: Number of markets where the item was sold out in a random sample of 48 markets.
The study parameter is the proportion of "bare shelves"
sample proportion 'p= (32/48) = 0.67
The hypothesis is:
H₀: p ≤ 0.59
H₁: p > 0.59
α: 0.05
Remember: The p-value is defined as the probability corresponding to the calculated statistic if possible under the null hypothesis (i.e. the probability of obtaining a value as extreme as the value of the statistic under the null hypothesis).
So, to calculate the p-value you have to first calculate the statistic under the null hypothesis:
![Z= \frac{'p - p}{\sqrt{\frac{p(1 - p)}{n} } }](https://tex.z-dn.net/?f=Z%3D%20%5Cfrac%7B%27p%20-%20p%7D%7B%5Csqrt%7B%5Cfrac%7Bp%281%20-%20p%29%7D%7Bn%7D%20%7D%20%7D)
![Z= \frac{0.67 - 0.59}{\sqrt{\frac{0.59*0.41}{48} } }](https://tex.z-dn.net/?f=Z%3D%20%5Cfrac%7B0.67%20-%200.59%7D%7B%5Csqrt%7B%5Cfrac%7B0.59%2A0.41%7D%7B48%7D%20%7D%20%7D)
Z= 1.1269≅ 1.13
Keep in mind that the p-value as the test is one-tailed. Now you can calculate the p-value as:
P(Z ≥ 1.13)= 1 - P(Z < 1.13)= 1 - 0.8706 =0.1292
The decision is to reject the null hypothesis. So at a level of 5% you can say that it is probitable to increase the deliveries.
I hope you have a SUPER day!