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nadya68 [22]
3 years ago
7

Find the area of a cube. 5in, 5in, 5 in

Mathematics
1 answer:
Verizon [17]3 years ago
6 0

Answer:

150in²

Step-by-step explanation:

The surface area of a cube is given by the following equation where <em>s</em> is the length of a side:

A=6s^2

So, in this case, s is equal to 5:

A = 6(5)^2 = 6(25)=150in^2

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Which is the best approximation of the volume of a cone with the same base and height as the cylinder?
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If the volume of a cylinder is x, then the volume of a cone with same height and diameter is x/3

so

if the cone is 72ft³ then the cone with same base and height is 72/3ft³=24ft³


answer is A
3 0
3 years ago
*PLEASE ANSWER ASAP* What is the total volume of the cube below?
Paladinen [302]

Answer:

V = 125 cu.

Step-by-step explanation:

Since volume = L x W x H -->

Plug the numbers in --> 5 x 5 x 5 (5 cubed) -->

25 x 5 = 125

Thus, the total volume of this cube is 125 cu.

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7 0
3 years ago
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The company states that 90% of the light bulbs have a lifetime of at least k hours. Find the value of k. Give your answer correc
docker41 [41]

Answer:

a) Mean = 5800 hours

b) P(5000 ≤ L ≤ 6000) = 0.420

c) k = 4700 hours

Step-by-step explanation:

The full correct question is attached to this solution.

From the graph of the distribution of lifetime of bulbs presented, it is evident that this is a normal distribution.

(a) Write down the mean lifetime of the light bulbs.

From the normal distribution graph, the mean is at the very centre of the graph

Mean = μ = 5800 hours

(b) The standard deviation of the lifetime of the light bulbs is 850 hours.

Find the probability that 5000 ≤ L ≤ 6000, for a randomly chosen light bulb.

Mean = μ = 5800 hours

Standard deviation = σ = 850 hours.

The required probability = P(5000 ≤ L ≤ 6000)

To find this, we first normalize/standardize 5000 and 6000.

The standardized score for any value is the value minus the mean then divided by the standard deviation.

For 5000

z = (L- μ)/σ = (5000 - 5800)/850 = -0.941

For 6000

z = (L- μ)/σ = (6000 - 5800)/850 = 0.235

The required probability

P(5000 ≤ L ≤ 6000) = P(-0.941 ≤ z ≤ 0.235)

We'll use data from the normal probability table for these probabilities

P(5000 ≤ L ≤ 6000) = P(-0.941 ≤ z ≤ 0.235)

= P(z ≤ 0.235) - P(z ≤ -0.941)

= 0.593 - 0.173 = 0.420

c) The company states that 90% of the light bulbs have a lifetime of at least k hours. Find the value of k. Give your answer correct to the nearest hundred.

P(L ≥ k) = 90% = 0.9

assuming that the z-score of k is z'

P(L ≥ k) = P(z ≥ z') = 0.90

P(z ≥ z') = 1 - P(z < z') = 0.9

P(z < z') = 0.1

Using the normal distribution table

z' = -1.282

z' = (k - μ)/σ

-1.282 = (k - 5800)/850

k = (-1.282 × 850) + 5800 = 4710.3 = 4700 hours to the nearest hundred.

Hope this Helps!!!

5 0
3 years ago
Alice subscribes to the symphony. the cost is $295.55 for 32 performances. if alice sells you four tickets, what will they cost
Jobisdone [24]
32 performance = $295.55

1 performance = 299.55 ÷ 32 = $9.24

4 performance = $9.24 x 4 = $36.96

------------------------------------------------------------------
Answer: It will cost $36.96.
------------------------------------------------------------------
7 0
3 years ago
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