Answer:
Assuming you want them to weigh the same the answer would be 3 grams
Step-by-step explanation:
Because... 6 × 3 = 18 3 × 4 = 12
18 + 12 = 30
6 × 4 = 24 3 × 2 = 6 24 + 6 = 30 therefore
squares = 3
Answer:
-2
Step-by-step explanation:
You can see it in the graph
The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.
<h3>Probability</h3>
a. Distribution
X ~ N (20 , 6)
b. P(x ≤24)
= P[(x - μ ) / σ (24 - 20) / 6]
= P(z ≤0.67)
= 0.74857
=0.7486
Hence:
Probability = 0.7486
c. P(21 < x < 26)
= P[(21 - 26)/ 6) < (x - μ ) / σ < (24 - 20) / 6) ]
= P(-0.83 < z < 0.67)
= P(z < 0.67) - P(z < -0.)
= 0.74857- 0.2033
= 0.54527
Hence:
Probability =0.54527
d. Using standard normal table ,
P(Z < z) = 66%
P(Z < 0.50) = 0.66
z = 0.50
Using z-score formula,
x = z× σ + μ
x = 0.50 × 6 + 20 = 23
23 Christmas cards
Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.
Learn more about probability here:brainly.com/question/24756209
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<span><span>Step by step :
6x</span>−<span>42x</span></span><span>
=<span><span><span>6x</span>+</span>−<span>42x</span></span></span>
<span>=<span><span>6x</span>+<span>−<span>42x</span></span></span></span><span>
=<span>(<span><span>6x</span>+<span>−<span>42x</span></span></span>)</span></span><span>
=<span>−<span>36x</span></span></span>
Hoped I helped!
Answer:
If ƒ(x ) = 3x + 1, then ƒ(a + h ) - ƒ(a ) = 3h
Step-by-step explanation:
Given ƒ(x ) = 3x + 1, then to calculate ƒ(a + h ) - ƒ(a ), you need to replace "x" for (a + h) and a, respectively.
So...
f(a +h) = 3(a + h) + 1
and
f(a) = 3a + 1
Then
ƒ(a + h ) - ƒ(a ) = 3 (a + h) + 1 - [3a +1] = 3a + 3h + 1 - 3a - 1 = 3h.
So, ƒ(a + h ) - ƒ(a ) = 3h
