Answer:
20
Step-by-step explanation:
start by dividing 18 from 120(to find the amount of 18's in 120)
120 / 18 = 6.<u>6</u>
meaning there are 6.<u>6</u> sets of 18 in 120
multiply 3 by 6.<u>6</u>(since there's 3 miles for every 18 minutes)
3 x 6.<u>6</u> = 20
Total number of cans that need to be collected = 325
Number of cans collected in first week = 135
Number of cans collected in the second week = 89
The number of cans collected in third week = c
Then the inequality equation will be
135 + 89 + c = 325
224 + c = 325
c = 325 - 224
= 101
So at least 101 cans are required to meet the goal and more that 101 cans will surpass the goal.
Answer: t= 2.032
Step-by-step explanation:
Given : Sample size :
Sample mean :
Standard deviation :
Claim : The IQ scores of statistics professors are normally distributed, with a mean greater than 116.
Let be the mean scores of statistics professors.
Then the set of hypothesis for the given situation will be :-
As the alternative hypothesis is right tailed , thus the test would be right tail test.
Since the sample size is less than 30, therefore the test would be t-test .
The test statistics for the given situation will be :-
Hence, the value of the test statistic : t= 2.032
Answer:
see below
Step-by-step explanation:
5. sin 31 = opp/ hyp
sin 31 = 34 /x
x = 34 / sin 31
x =66.0145369
tan 31 = opp /adj
tan 31 = 34/y
y = 34/ tan 31
y= 56.5855024
6. Pythagorean theorem to find z
9^2+12^2 = z^2
81+144 = z^2
225 = z^2
z =sqrt(225) =15
sin x = opp / hyp
sin x = 9/15
take the inverse sin
x = sin^ -1 (9/15) = 36.86989765
sin y = opp / hyp
sin y = 12/15
take the inverse sin
y = sin^ -1 (12/15) = 53.13010235