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2 years ago

HELPPPP PLEASE I will give brainliest and I put it up for 100 points

Mathematics

2 answers:

Mamont248 [21]2 years ago

8 0

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abruzzese [7]2 years ago

6 0

Answer:

2xz⁵/y⁴

Step-by-step explanation:

Given expression:

$\frac{16x^2yz^{13}}{8xy^5z^8}$

Simplify considering like terms:

16/8 = 2
x²/x = x
y/y⁵ = 1/y⁴
z¹³/z⁸ = z⁵

The simplified expression is:

2xz⁵/y⁴

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· The volume of a box in the shape of a cube is 2197 cm3. Find the area of one side of the box.

Yuliya22 [10]

Answer:

Let the side of the cube be x.

Volume = length × width × height

For a cube:

Length = width = height

Now volume = x × x × x = x³

This equals 2197

Therefore :

X³ = 2197

X = ∛2197

= 13

The side of the cube = 13cm

Area = length × width

Length = width = 13cm

Area = 13 × 13 = 169

= 169 cm²

I hope this helps!

4 0

4 years ago

Consider the probability that greater than 77 out of 131 computers will crash in a day. Assume the probability that a given comp

sweet-ann [11.9K]

Answer:

A Normal approximation to binomial cannot be applied to approximate the distribution of X, the number of computer crashes in a day.

Step-by-step explanation:

Let X = number of computers that will crash in a day.

The probability of a computer crashing in a day is, p = 0.99.

A random sample of n = 131 is selected.

A random computer crashing in a day is independent of the others.

The random variable X follows a Binomial distribution with parameters n = 131 and p = 0.99.

But the sample size is quite large, i.e. n > 30.

So the distribution of X can be approximated by the normal distribution if the following conditions are fulfilled:

np ≥ 10
n(1 - p) ≥ 10

Check whether the conditions satisfy or not:

$np=131\times 0.99=129.69>10\\n(1-p)=131\times (1-0.99)=1.31$

The second condition is not fulfilled.

A Normal approximation to binomial cannot be applied to approximate the distribution of X, the number of computer crashes in a day.

6 0

3 years ago

Given the first term and the term-to-term rule, write down the first six terms of each sequence.

spin [16.1K]

Step-by-step explanation:

a1 = 2

a2 = a1 + 9 = 2 + 9 = 11

a3 = a2 + 9 = 20

a4 = a3 + 9 = 29

a5 = a4 + 9 = 38

a6 = a5 + 9 = 47

8 0

1 year ago

Just Peachy Orchard produced 1100 bushels of peaches last year. This year the owner earned $8800 from sales. He's thinking that

Slav-nsk [51]

Answer:

$P(t) ={8*(1.01)^t}$

Step-by-step explanation:

The number of bushels produced is given by:

$B(t)= 1100(1.1)^t$

The owner's income is given by:

$S(t) = 8800(1.111)^t$

Income is given by the price per unit multiplied by the number of units sold. Therefore, the price function can be represented as:

$P(t) =\frac{S(t)}{B(t)} \\P(t) =\frac{8800(1.111)^t}{1100(1.1)^t} \\P(t) =\frac{8*1100(1.1)^t*(1.01)^t}{1100(1.1)^t}\\P(t) ={8*(1.01)^t}$

3 0

3 years ago

The quotient of 3.1 divided by 5.

lord [1]

3.1/5 = 0.62 divide 5 into the 3 =0 divide 5 into 31 =6 bring down the 1add a zero

divide 5 into 10 = 2 answer is 0.62

6 0

3 years ago