Hey!
So we have 6 multiplied by -12 and that is over 10
so we are multiplying a positive number by a negative number. When you do that the answer will be a negative number.
Now we have -72/10
we can simplify that more
divide the numerator and denominator by 2 because that is the largest number that is divisible by both number
now it is -36/5
The answer is -36/5
Hope this helps!
Answer:
c=13 Perimeter=30
Step-by-step explanation:
c is equal to 13 so add all the sides together and you get 30
Answer:
Step-by-step explanation:
D=90°
E=147°
F= 33°
Answer:
(a) P(X = 18) = 0.25
(b) P(X > 18) = 0.53
(c) P(X ≤ 18) = 0.47
(d) Mean = 19.76
(e) Variance = 22.2824
(f) Standard deviation = 4.7204
Step-by-step explanation:
We are given that discrete random variable X has the following probability distribution:
X P (x) X * P(x)
* P(x)
13 0.22 2.86 169 37.18
18 0.25 4.5 324 81
20 0.20 4 400 80
24 0.17 4.08 576 97.92
27 0.16 4.32 729 116.64
(a) P ( X = 18) = P(x) corresponding to X = 18 i.e. 0.25
Therefore, P(X = 18) = 0.25
(b) P(X > 18) = 1 - P(X = 18) - P(X = 13) = 1 - 0.25 - 0.22 = 0.53
(c) P(X <= 18) = P(X = 13) + P(X = 18) = 0.22 + 0.25 = 0.47
(d) Mean of X,
= ∑X * P(x) ÷ ∑P(x) = (2.86 + 4.5 + 4 + 4.08 + 4.32) ÷ 1
= 19.76
(e) Variance of X,
= ∑
* P(x) -
= 412.74 -
= 22.2824
(f) Standard deviation of X,
=
=
= 4.7204 .
9514 1404 393
Answer:
120
Step-by-step explanation:
The dimension across the front in terms of cubes is ...
5/3 cm = 5×(1/3 cm) = 5 cubes
The front-to-back dimension in terms of cubes is ...
4/3 cm = 4×(1/3 cm) = 4 cubes
The height in terms of cubes is ...
2 cm = 6×(1/3 cm) = 6 cubes
Then the volume in terms of cubes is ...
V = LWH = 5×4×6 = 120 cubes
It will take 120 cubes to fill the prism.