Answer:
y = 5x
Step-by-step explanation:
X=5 and Y=1
Direct variation can be represented by the equation y=kx.
Therefore,
1 = k(5)
5 = k
Now you use, k = 5 to write the direct variation equation.
Which gives you the answer y = 5x
Answer:
a: z = -1.936
b: 0.0265
d: z < -1.645
Reject H0 if z < -1.645
Step-by-step explanation:
We are given:
H0: µ = 20
HA: µ < 20
n = 60, sample mean: 19.6, σ = 1.6
Since the alternate hypothesis has a < sign in it, it is a left tailed test. The < or > sign in the alternate hypothesis points towards the rejection region.
For a: We need to calculate the test statistic for our situation. This is done with a z-score formula for samples.
For b: we need to use the z-score table to look up the p-value for the score we calculate in part a. The p-value is 0.0265. This means that there is only about a 2.65% chance that the sample values were a result of random chance.
For d: Since the significance level is 0.05, and this is a one tailed test, we have a critical value of z < - 1.645. This means that if the z-score we calculate in part a is less than -1.645, we will reject the null hypothesis
See attached photo for all the calculations!
Answer:
Total cost= $141.75
Step-by-step explanation:
Giving the following information:
Bernie's Bargains 6 DVDs for $56.70
Greg's Giveaways 10 DVDs for $99.70
Stan's Steals 8 DVDs for $79.68
<u>First, we need to determine the unitary price of each and choose the lowest one:</u>
Bernie= 56.7/6= $9.45
Greg= 99.7/10= $9.7
Stan= 79.68/8= $9.96
The lowest price is $9.45.
<u>Now, the total cost of 15 DVDs:</u>
Total cost= 9.45*15
Total cost= $141.75
Answer:
8 to 18
Step-by-step explanation:
8 to 18
7 > z + 18 ≥ 6
Subtract 18 from all 3 parts:
7-18 > z +18 -18 ≥ 6-18
-11 > z ≥ -12