Answer:
The probability is 0.04746
Step-by-step explanation:
Firstly, we calculate the z-score here
Mathematically;
z-score = x-mean/SD/√n
Where from the question;
x = 85, mean = 90 , SD = 15 and n = 25
Plugging these values into the equation, we have;
Z = (85-90)/15/√25 = -5/15/5 = -1.67
So the probability we want to calculate is ;
P(z > -1.67)
We use the standard normal distribution table for this;
P(z > -1.67) = 0.04746
Answer:
(p ∧ q)’ ≡ p’ ∨ q’
Step-by-step explanation:
First, p and q have just four (4) possibilities, p∧q is true (t) when p and q are both t.
p ∧ q
t t t
t f f
f f t
f f f
next step is getting the opposite
(p∧q)'
<em>f</em>
<em> t</em>
<em> t</em>
<em> t</em>
Then we get p' V q', V is true (t) when the first or the second is true.
p' V q'
f <em>f</em> f
f <em>t</em> t
t <em>t</em> f
t <em>t</em> t
Let's compare them, ≡ is true if the first is equal to the second one.
(p∧q)' ≡ (p' V q')
<em>f f </em>
<em> t t</em>
<em> t t</em>
<em> t t</em>
Both are true, so
(p ∧ q)’ ≡ p’ ∨ q’
Answer:
The estimated distance is 8.1cm.
The actual distance is 8.106cm.
Step-by-step explanation:
Given that the Pythogorean Theorem, c² = a² + b². Then substitute the following values into the formula :
Let a = 5.1cm,
Let b = 6.3cm,
Answer: 35 pies
Step-by-step explanation:
Ken can bake 1 pie with each additional cup of sugar he buys. 1 pie =1 cup
4 + x = y
Where;
x= additional pies
y= total pies
If 1 cup= 1 pie; then 31 cups =
31 cup × 1 pie/1 cup = x
:. x= 31 pies
y= x + 4
y= 31+4 = 35
Answer:
0.371954
Step-by-step explanation:
Formula- for an approximate result, divide the volume value by 29.574.
