Answer:
-1.5
Step-by-step explanation:
You just have to count on the graph
Answer: n-4(32.5) > 300;n > 430tep-by-step explanation:
Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is
Profit > $300
the profit he makes is equal to the amount he is paid - the cost of supplies. The cost of supplies is $32.50 for each room. That is
n - 32.5 and
P + 32.5 × 4
Where 4 = number of rooms
P + 130
n-4(32.5) > 300;n > 430tep-by-step explanation:
given that Zack wants to make a profit of more than $300 for painting 4 identical rooms. That is
Profit > $300
Then, the profit he makes is equal to the amount he is paid minus the cost of supplies. The cost of supplies is $32.50 for each room. That is
n - 32.5 and
P + 32.5 × 4
Where 4 = number of rooms
P + 130
The minimum profit = 300 + 130 = $430
n-4(32.5) > 300;n > 430 430
The parent function was moved left one and down five. It also opened up due to the 1/2
Answer:

Step-by-step explanation:
For each name, there are only two outcomes. Either the name is authentic, or it is not. So, we can solve this problem using the binomial probability distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And
is the probability of X happening.
In this problem.
5 names are selected, so 
A success is a name being non-authentic. 40% of the names are non-authentic, so
.
We have to find 
Either the number of non-authentic names is 0, or is greater than 0. The sum of these probabilities is decimal 1. So:




So

Answer:
The p-value is of 0.046 < 0.05, which means that there is a low probability of the results happening by random chance, and thus there is significant evidence to conclude that the new formula cleaned the shirts significantly better than the old formula.
Step-by-step explanation:
If the p-value is less than the significance level, it means that there is a low probability of the results happening by random chance.
In this question:
The p-value is of 0.046 < 0.05, which means that there is a low probability of the results happening by random chance, and thus there is significant evidence to conclude that the new formula cleaned the shirts significantly better than the old formula.