You just need two points to graph a line.
When x = 1
y - 4 = -1/4(1 - 5)
y - 4 = -1/4(-4)
y - 4 = 4/4
y - 4 = 1
y = 5
So, we have our first point, (1,5)
When x = 2
y - 4 = -1/4(2 - 5)
y - 4 = -1/4(-3)
y - 4 = 3/4
y = 4 3/4
Now we have the point (2, 4 3/4)
Now just run a line through the two points and you're done!
Answer:
The correct answer is <em>b = 36</em>
Step-by-step explanation:
In order to find out what b is, you must find out what 9/10 is.
9/10 is 0.9. This will later be used to check our answer.
Now, solve by using cross-multiplication
b * 10 = 9 * 40.
Then use the commutative property to reorder the terms
10b = 9 * 40
Now Multiply 9 * 40 = 360
10b = 360
Now divide both sides of the equation by 10
<em>b = 36</em>
Answer:
To get the function <em>g</em>, shift <em>f </em>down by 8 units.
Step-by-step explanation:
The constant - 8 at the end of function g(x) suggests the parent function f(x) was translated 8 units down.
Answer:
Null hypothesis:
Alternative hypothesis:
Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%
Step-by-step explanation:
Information given
n=144 represent the random sample taken
X=81 represent the number of people with type A blood
estimated proportion of people with type A blood
is the value that we want to verify
represent the significance level
z would represent the statistic
Alternative hypothesis:
the statistic is given by:
(1)
Replacing the info given we got:
Now we can calculate the p value with this probability taking in count the alternative hypothesis:
Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%
18 / 44 = 9 / 22
There are 44 nuts in the bag, and 18 of them are peanuts. If you simplify the fraction, you get 9/22 chance of getting a peanut.