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KonstantinChe [14]
2 years ago
12

Write an inequality to express the fact that a checking account balance of $56 is less than a balance of $21. What is the differ

ence in the balances?​
Mathematics
2 answers:
Sholpan [36]2 years ago
7 0

Answer:

120

Step-by-step explanation:

krok68 [10]2 years ago
3 0

Answer:

120

Step-by-step explanation:

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A 12​-sided die is rolled. The set of equally likely outcomes is ​{1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 com
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Answer:

  1

Step-by-step explanation:

It is certain that the number rolled will be less than 14, so the probability is 1.

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2 years ago
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A machine making computer chips isn't working correctly, and 5% of the computer chips it makes are defective. If an inspector ch
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Answer:

0.25% probability that they are both defective

Step-by-step explanation:

For each computer chip, there are only two possible outcomes. Either they are defective, or they are not. The probability of a computer chip being defective is independent of other chips. So we use the binomial probability distribution 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.

5% of the computer chips it makes are defective.

This means that p = 0.05

If an inspector chooses two computer chips randomly (meaning they are independent from each other), what is the probability that they are both defective?

This is P(X = 2) when n = 2. So

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

P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025

0.25% probability that they are both defective

4 0
3 years ago
Given x = wavelength and y = frequency are inversely related, solve for the constant for the given type of
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Answer:

given

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