Answer:
x = 19, y = -7, z = -18
Step-by-step explanation:
Since its a rhombus and 1 side = 29, all sides = 29. Just solve each side.
2x - 9 = 29
2x = 38
x = 19
-3y + 8 = 29
-3y = 21
y = -7
-2z - 7 = 29
-2z = 36
z = -18
5/20 or 1/4
Hope this helps
Answer:
a. the mean of the population
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
To find the sample size necessary we need values of M(maximum margin of error), z(related to the confidence level) and , which is an estimate of the true population proportion p.
The mean of the population is not needed.
So the correct answer is:
a. the mean of the population
Answer:
The maximum number of text messages you can send per month would be 41.
Step-by-step explanation:
1. First, you want to create an inequality from the word problem. You know that $24.99 is a constant, so we won't put any variables next to it. You also know that each text message is $0.12, so that would need a variable since it can change each month. You also know that you can spend $30 maximum each month, so that goes on the other side of the inequality. Your inequality will look like this: 0.12x+24.99≤30 (x is the number of text messages).
2. Second, you want to solve for x. To do this, subtract 24.99 from each side. After this, the equation is 0.12x≤5.01
3. Now, divide each side by 0.12. Now your inequality is x≤41.75. This represents how many text messages you can send per month without going over 30.
4. Finally, you have to realize that is impossible to send exactly 41.75 text messages. So, you have to round down to 41 to get an even number of text messages, and that's your answer!
Hope this helps! Feel free to ask any questions :)
Answer: the Russell family used their sprinkler for 40 hours.
the Gonzalez family used their sprinkler for 20 hours.
Step-by-step explanation:
Let x represent the number of hours for which the Russell family used their sprinkler.
Let y represent the number of hours for which the Gonzalez family used their sprinkler.
The families used their sprinklers for a combined total of 60 hours. It means that
x + y = 60
The water output rate for the Russell family's sprinkler was 35L per hour. The water output rate for the Gonzalez family's sprinkler was 40L per hour. The total water output of both families was 2200L. It means that
35x + 40y = 2200- - - - - - - - - - --1
Substituting x = 60 - y into equation 1, it becomes.
35(60 - y) + 40y = 2200
2100 - 35y + 40y = 2200
- 35y + 40y = 2200 - 2100
5y = 100
y = 100/5
y = 20
x = 60 - y = 60 - 20
x = 40