The time for this z-score is 3.28.
The formula for z-scores is
z = (X-μ)/σ
Using our information, we have
-1.2 = (X-4.6)/1.1
Multiply both sides by 1.1:
-1.2(1.1) = X - 4.6
-1.32 = X - 4.6
Add 4.6 to both sides:
-1.32 + 4.6 = X - 4.6 + 4.6
3.28 = X
I agree because he calculated it the right way and that is the same answer I got.
Hope I helped :)
Answer:
x = 66
Step-by-step explanation:
For a set of N numbers:
{x₁, x₂, ..., xₙ}
The mean can be calculated as:
In this case we have the data set:
{98, 122, 104, 115, 107, x}
And I assume that we want to have the mean = 102.
So we have a set of 6 numbers, the mean of this set will be:
We need to solve this equation for x.
If we multiply both sides by 6, we get:
(98 + 122 + 104 + 115 + 107 + x) = 102*6 = 612
546 + x = 612
x = 612 - 546 = 66
x = 66
Answer:
<h2>b = 15°</h2>
Step-by-step explanation:
If Pq = RQ then ΔPQR is the isosceles triangle. The angles QPR and PRQ have the same measures.
We know: The sum of the measures of the angeles in the triangle is equal 180°. Therefore we have the equation:
m∠QPR + m∠PRQ + m∠RQP = 180°
We have
m∠QPR = m∠PRQ and m∠RQP = 60°
Therefore
2(m∠QPR) + 60° = 180° <em>subtract 60° from both sides</em>
2(m∠QPR) = 120° <em>divide both sides by 2</em>
m∠QPR = 60° and m∠PRQ = 60°
Therefore ΔPRQ is equaliteral.
ΔPSR is isosceles. Therefore ∠SPR and ∠PRS are congruent. Therefore
m∠SPR = m∠PRS
In ΔAPS we have:
m∠SPR + m∠PRS + m∠RSP = 180°
2(m∠SPR) + 90° = 180° <em>subtract 90° from both sides</em>
2(m∠SPR) = 90° <em>divide both sides by 2</em>
m∠SPR = 45° and m∠PRS = 45°
m∠PRQ = m∠PRS + b
Susbtitute:
60° = 45° + b <em>subtract 45° from both sides</em>
15° = b
Break down the figure into 2 parts. Then use volume formula and multiply.
V=lwh
V=3x3x2
V=18ft^2
V=lwh
V=2x2x3
V=12ft^2
Then simply add.
18
+12
-------
30
