The answer is rational and here is the steps
Answer:
Step-by-step explanation:
3/x = sin45
x = 3/sin45
x = 3 / ½(√2)
x = 3(2/√2)
x = 3((2√2)/2)
x = 3√2
Make a proportion using the ratio (A:B) given and number of As and Bs really gotten in the class (
)

Cross multiply
2 * 40 = 5 * A
80 = 5A
Isolate A by dividing 5 to both sides
80/5 = 5A/5
16 = A
If 40 people in the class got B's then 16 people got A's
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
b. Null: The population average VDAS score for early birds is the same as the population average VDAS score for night owls.
Alt: The population average VDAS scores are different for the two groups.
Step-by-step explanation:
Given
The above data
Required
Determine the null and alternate hypothesis
When looking out for the null hypothesis, only options with equality statements or equal sign should be selected as the null hypothesis.
i.e. statements like "equal to", "the same as", etc.
The alternate hypothesis will then contain inequalities or inequality statements
<em>From the list of options, only option (b) is correct.</em>
So,
a.
Let
1. Alison be "a"
2. Kyle be "k"
3. Maurice be "m"
a = 2k
m = a + 5
m = 2k + 5
40 > 5k + 5
35 > 5k
7 > k
The relationship between k and m:
m = 2k + 5
19 > m
MAURICE CANNOT HAVE MORE THAN 19 VIDEO GAMES.