Answer:
Step-by-step explanation:
Remark
2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.
Givens
Let the smallest angle = x
Let the largest angle = 4x + 30
Equation
4x + 30° + x = 90° Combine like terms on the left
Solution
5x + 30 = 90 Subtract 30 from both sides.
5x + 30 - 30 = 90 - 30 Combine
5x = 60 Divide both sides by 5
5x/5 = 60/5
x = 12
Answer
- smallest angle = 12
- Larger angle = 4*12 + 30 = 78
Arrange in ascending order:-
3, 5, 23, 27, 35, 37, 45, 48, 49
There are 9 values so the median = middle 5th value
= 35 Answer
Answer:
positive correlation, causal
negative correlation, not causal
negative correlation, causal
Step-by-step explanation:
a number can be written a "x".
"minus" is a key word for subtraction.
"is" is a key word for =.
So if we put that all together, we have
x-3=5
To solve it, we have to add 3, to cancel it out, and add 3 to 5.
x-3=5
+3 +3
x=8
---
hope it helps
Answer:
a) P-value = 0.0968
b) P-value = 0.2207
c) P-value = 0.0239
d) P-value = 0.0040
e) P-value = 0.5636
Step-by-step explanation:
As the hypothesis are defined with a ">" sign, instead of an "≠", the test is right-tailed.
For this type of test, the P-value is defined as:
being z* the value for each test statistic.
The probability P is calculated from the standard normal distribution.
Then, we can calculate for each case:
(a) 1.30
(b) 0.77
(c) 1.98
(d) 2.65
(e) −0.16
