Answer: the value of the test statistic is 2.11
Step-by-step explanation:
Given that;
sample mean x" = 95
standard deviation σ = 3
sample size n = 40
Null hypothesis H₀ : μ = 94
Alternative hypothesis H₁ : μ ≠ 94
Level of significance ∝ = 0.02
Test statistic value
z = (x" - μ) / ( σ/√n)
we substitute
z = (95 - 94) / ( 3/√40)
z = 1 / 0.4743
z = 2.11
Therefore, the value of the test statistic is 2.11
Answer:
m = 58°
x = 64°
Step-by-step explanation:
When a puck touches one side of the air hockey table,
All the angles formed are located at a point on a straight line.
Therefore, sum of angles formed is 180°.
m° + m° + 64° = 180°
2m + 64 = 180
2m = 180 - 64
2m = 116
m = 58°
m∠y = m = 58° [Alternate interior angles]
Similarly, on the other side of the table,
58° + y° + x° = 180°
58° + 58° + x° = 180°
x + 116° = 180°
x = 180 - 116
x = 64°
B = (1/6).π.x².s
1st Multiply both sides with 6 → 6B = (6).(1/6).π.x².s. Simplify by 6
6B = π.x².s. Now divide both sides by .π.x².
6B/(.π.x²) = .(π.x².s)/(.π.x²) After simplification you get:
6B/(.π.x²) = s → s = 6B/(.π.x²)
Answer:
Then the best way to phrase it would be to jump right into the question without I need your help, because saying so makes it sound as though you have more of an urgent, sensitive, personal problem than a simple question or two (they might be a bit taken aback by the phrase).
However, if you have several questions (let's say more than 2), or if you just want to sound a bit more polite, you could preface the content with a phrase like I was wondering I you might be able to answer a few questions of mine, or, I have a few questions that I was hoping you might be able to help me with.
<u>Answer</u>
3.5 hours.
<u>Explanation</u>
The first step is to calculate the constant of proportionality.
t ∝ 1/n
t = k/n Where t = time, K= constant and n = number of people
t = k/n
k =tn
= 5×7 = 35
The equation becomes;
t = 35/n
for n = 10,
t = 35/10
t = 3.5 hours.
