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Paul [167]
3 years ago
12

Can you help me on question 17?!

Mathematics
1 answer:
fomenos3 years ago
8 0

Answer:

x³+57

step by step explanation

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The value of the solid's surface area is equal to the value of the solid's volume. Find the value of x
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6

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6s^2=s^3

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An architect plans to build an extension to​ Meiling's rectangular deck. Let x represent the​ increase, in​ meters, of her​ deck
elena-14-01-66 [18.8K]

Complete question is;

An architect plans to build an extension to meiling's rectangular deck. Let x represent the increase, in meters, of her deck's length. The expression 4(x+8) represents the area of the deck, where 4 is the width, in meters, and (x+8) represents the extended length, in meters. Use distributive property to write an expression that represents the total area of meilings new deck.

Answer:

4x + 32

Step-by-step explanation:

We are told that the expression 4(x+8) represents the area of the deck.

Also, that 4 is the width, in meters, and (x+8) represents the extended length, in meters.

Thus, area is;

A = 4(x+8)

Using distributive property simply means we will distribute the term outside the bracket to each term inside the bracket.

Thus;

A = (4 * x) + (4 × 8)

A = 4x + 32

8 0
3 years ago
An electronics firm claims that the proportion of defective units of a certain process is 5%. A buyer has a standard procedure o
lesya692 [45]

Answer:

0.0006 = 0.06% probability of this occurrence

Step-by-step explanation:

For each unit, there are only two possible outcomes. Either it is defective, or it is not. The probability of an unit being defective is independent of any other unit, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

An electronics firm claims that the proportion of defective units of a certain process is 5%.

This means that p = 0.05

A buyer has a standard procedure of inspecting 15 units selected randomly from a large lot.

This means that n = 15

a) What is the probability of this occurrence?

Probability of 5 defective items, whch is P(X = 5). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 5) = C_{15,5}.(0.05)^{5}.(0.95)^{10} = 0.0006

0.0006 = 0.06% probability of this occurrence

8 0
3 years ago
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