Answer: The width of the garden is 18 feet. The area of the garden is 432ft^2.
Step-by-step explanation:
84-24*2=36
36/2=18
18*24= 432
Answer:
Option B 
Step-by-step explanation:
we know that
The area of the rectangle room, is equal to

where
L is the length
W is the width
we have


Remember that
1 yard= 3 feet
Convert yards to feet


The area is equal to

Answer:
Step-by-step explanation:
Given that a researcher is using a repeated-measures design to test for mean differences among four treatment conditions.
The data for this study consist of 10 scores in each treatment.
We have to find the total subjects who participated in the study.
Each treatment has 10 scores
No of treatments = 4
Hence subjects participated in the study
= no of treatment x no of subjects
= 
Answer:
a. We reject the null hypothesis at the significance level of 0.05
b. The p-value is zero for practical applications
c. (-0.0225, -0.0375)
Step-by-step explanation:
Let the bottles from machine 1 be the first population and the bottles from machine 2 be the second population.
Then we have
,
,
and
,
,
. The pooled estimate is given by
a. We want to test
vs
(two-tailed alternative).
The test statistic is
and the observed value is
. T has a Student's t distribution with 20 + 25 - 2 = 43 df.
The rejection region is given by RR = {t | t < -2.0167 or t > 2.0167} where -2.0167 and 2.0167 are the 2.5th and 97.5th quantiles of the Student's t distribution with 43 df respectively. Because the observed value
falls inside RR, we reject the null hypothesis at the significance level of 0.05
b. The p-value for this test is given by
0 (4.359564e-10) because we have a two-tailed alternative. Here T has a t distribution with 43 df.
c. The 95% confidence interval for the true mean difference is given by (if the samples are independent)
, i.e.,
where
is the 2.5th quantile of the t distribution with (25+20-2) = 43 degrees of freedom. So
, i.e.,
(-0.0225, -0.0375)
Number of jobs=1
Time:
<span>Since ‘x’ is given as a variable in the choices, we should reserve it for Kate and use ‘y’ for Jean as follows: </span>
<span>
Kate: => x </span>
<span>Jean: => y </span>
<span>But y = x - 5 </span>
<span>Combined rate: </span>
<span>1/x+ 1/y </span>
<span>= (x + y)/(xy) </span>
<span>Number of jobs done: </span>
<span>
Number of days X combined rate = number of jobs </span>
<span>6 [(x + y)/(xy)] = 1 </span>
<span>6x + 6y = xy </span>
<span>6x + 6(x - 5) = x(x - 5) </span>
<span>6x + 6x - 30 = x² - 5x </span>
<span>12x - 30 = x² - 5x </span>
<span>x² - 17x + 30 = 0
</span>
Therefore, the answer would be A.