Answer:
x=3.5
Step-by-step explanation:
We can use proportions to solve this problem. Put the side of one triangle over the same side of the other triangle.
6 4.2
------ = ----------
5 x
Using cross products
6x = 5*4.2
6x =21
Divide by 6
6x/6 = 21/6
x=3.5
Answer: -8x + 12
Step-by-step explanation:
12 will be y-intercept because it crosses the y-axis.
-8 will be slope because it is the rate of change.
Answer:
<em>x = -10</em>
Step-by-step explanation:
(9/2)(8 - x) + 36 = 102 - (5/2)(3x + 24)
Multiply both sides by 2.
9(8 - x) + 2 * 36 = 2 * 102 - 5(3x + 24)
Distribute on both sides.
72 - 9x + 72 = 204 - 15x - 120
Combine like terms on each side.
144 - 9x = 84 - 15x
Subtract 144 from both sides. Add 15x to both sides.
6x = -60
Divide both sides by 6.
x = -10
<span>A random sample is drawn from a population with mean μ = 66 and standard deviation σ = 5.5. use table 1.
a. is the sampling distribution of the sample mean with n = 16 and n = 36 normally distributed? yes, both the sample means will have a normal distribution. no, both the sample means will not have a normal distribution. no, only the sample mean with n = 16 will have a normal distribution. no, only the sample mean with n = 36 will have a normal distribution.
b. can you use the standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 for both sample sizes? yes, for both the sample sizes, standard normal distribution could be used. no, for both the sample sizes, standard normal distribution could not be used. no, only for the sample size with n = 16, standard normal distribution could be used. no, only for the sample size with n = 36, standard normal distribution could be used.
c. calculate the probability that the sample mean falls between 66 and 68 for n = 36. (round intermediate calculations to 4 decimal places, "z" value to 2 decimal places, and final answer to 4 decimal places.)</span>
1. Multiply the hourly rate by the number of hours worked ( 22.5h) add that to the flat fee ( 22.5h +35) and that needs to be equal to or greater than what he expects to make:
A. 22.5h + 35 ≥ 215 , with a solution of h ≥ 8
2. Same method as number 1:
C. $3 + 1.80m ≤ $25
3. Each fraction would need 1 negative sign and have the same numerator and denominator, so the answer would be B.6/-7
