Answer:
x=18 y=69
Step-by-step explanation:
3x+5y=399
x+5y=363
2x=36
x=18
18+5y=363
5y=345
y=69
<span>a) 1/6 gallon all u need to do is divide</span>
Answer:
d. t distribution with df = 80
Step-by-step explanation:
Assuming this problem:
Consider independent simple random samples that are taken to test the difference between the means of two populations. The variances of the populations are unknown, but are assumed to be equal. The sample sizes of each population are n1 = 37 and n2 = 45. The appropriate distribution to use is the:
a. t distribution with df = 82.
b. t distribution with df = 81.
c. t distribution with df = 41.
d. t distribution with df = 80
Solution to the problem
When we have two independent samples from two normal distributions with equal variances we are assuming that
And the statistic is given by this formula:
Where t follows a t distribution with
degrees of freedom and the pooled variance
is given by this formula:
This last one is an unbiased estimator of the common variance
So on this case the degrees of freedom are given by:

And the best answer is:
d. t distribution with df = 80
Answer:
16.364 miles
Step-by-step explanation:
Speed of Claire = 6 miles per hour
Speed of Megan= 5 miles per hour
Distance from camp site to out post = 18 miles
Time for Claire to travel=18/6= 3 hours
Time for Megan to travel = 18/5 = 3.6 hours
The time they meet will be equal
Claire distance= 18 + x
Megan distance = 18-x
Claire time =( 18+x)/6
Megan Tim =( 18-x)/5
(18+x)/6 =(18-x)/5
5(18+x)= 6(18-x)
90 +5x = 108-6x
11x=18
X=18/11
X=1.636 Miles
So the distance from the Outpost to where they meet = 18-1.636
= 16.364 miles
Answer:
a : b = 4 : 3
Step-by-step explanation:
(mark as brainlist answer)
According to the given condition is the question :
Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b
⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)
⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)
⇒ 0.15a + 0.12b = 0.12a + 0.16b
⇒ 0.03a = 0.04b
⇒ a/b = 4/3
⇒ a : b = 4 : 3