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oksano4ka [1.4K]
3 years ago
14

How many 2-inch cubes are needed to completely fill a cubic box that measure 8 inches.

Mathematics
2 answers:
Lady_Fox [76]3 years ago
7 0

Answer:

It will be 64 cubes.

Step-by-step explanation:

if one side is 8 inches then 8/2 is 4

to fill one face, 4 × 4 = 16

to fill a cube 16 × 4 = 64

Answer: 64 cubes will fit

k0ka [10]3 years ago
3 0
Yupjyyhttgtgthyuygrcgtchty
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Need help with geometry!!!!!!! hurryyyy!!
MakcuM [25]

Answer:

#8 - substitution property of equality

hop this helps! <3

6 0
2 years ago
An insurance policy on an electrical device pays a benefit of 4000 if the device fails during the first year. The amount of the
lora16 [44]

Answer:

Expected benefit under this policy = $ 2694

Step-by-step explanation:

Given - An insurance policy on an electrical device pays a benefit of

            4000 if the device fails during the first year. The amount of the

            benefit decreases by 1000 each successive year until it reaches 0.

            If the device has not failed by the beginning of any given year, the

            probability of failure during that year is 0.4.

To find - What is the expected benefit under this policy ?

Proof -

Let us suppose that,

The benefit = y

Given that, the probability of failure during that year is 0.4

⇒Probability of non-failure = 1 - 0.4 = 0.6

Now,

If the device fail in second year , then

Probability = 0.6×0.4

If the device fail in third year, then

Probability = 0.6×0.6×0.4 = 0.6² × 0.4

Going on like this , we get

If the device is failed in n year, then

Probability = 0.6ⁿ⁻¹ × 0.4

Now,

The probability distribution is-

Benefit , x       4000       3000             2000            1000              0

P(x)                 0.4         0.6×0.4         0.6² × 0.4     0.6³ × 0.4     1 - 0.8704

                      (0.4)       (0.24)            (0.144)         (0.0864)       (0.1296)

At last year, the probability = 1 - (0.4+ 0.24+ 0.144+ 0.0864) = 1 - 0.8704

Now,

We know that,

Expected value ,

E(x) = ∑x p(x)

       = 4000(0.4) + 3000(0.24) + 2000(0.144) + 1000(0.0864) + 0(0.1296)

       = 1600 + 720 + 288 + 86.4 + 0

       = 2694.4

⇒E(x) = 2694.4 ≈ 2694

∴ we get

Expected benefit under this policy = $ 2694

5 0
3 years ago
Solve for x: -4(x + 10) - 6 = -3(x - 2
evablogger [386]
-4(x+10)-6=-3(x-2)
-4x-40-6=-3x+6
-4x-46=-3x+6
-4x-46+46=-3x+6+46
-4x=-3x+52
-4x+3x=-3x+3x+52
-x=52
(-x/-1)=(52/-1)
x=-52
6 0
3 years ago
Read 2 more answers
Lim as x-&gt;ln2 of ((e^3x)-8)/((e^2x)-4)
andriy [413]
X ⇒ ln (2) 

e^3 x - 8/e^2 x - 4

7 0
3 years ago
Difference between cylinder and cone
lord [1]
A cylinder has two bases and a height that (unless oblique) runs right along a side, while a cone has one base and whose height begins at the center of its base and goes straight up to the peak.
7 0
3 years ago
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