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jenyasd209 [6]
3 years ago
10

A combination lock has 3 dials. The first 2 dials have a setting for digits 0 through 9, and the third has settings for all 26 l

etters of the alphabet. A combination consists of one setting from each of the dials. How many combinations are possible
Mathematics
1 answer:
NeTakaya3 years ago
7 0

Answer:

There is 2600 combinations possible.

Step-by-step explanation:

The combinations for the first lock has 10 combinations

The combinations for the second lock has 10 combinations

The combinations for the third lock has 26 combinations

The total combinations is the product of all the locks.

There is 2600 combinations possible.

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5 0
3 years ago
Read 2 more answers
A soft drink manufacturer wishes to know how many soft drinks adults drink each week. They want to construct a 85% confidence in
andreev551 [17]

Answer: 547

Step-by-step explanation: The margin of error formulae is given below as

Margin of error = critical value ×(σ/√n)

Where σ = standard deviation and n is the sample size.

From our question, margin of error = 0.08

Variance is 1.691,

hence σ = √variance = √1.691

= 1.3.

We will be using a z test for our critical value this is because a soft drink manufacturer will always produce drinks more than 30 in numbers.

The critical value for a 85% confidence interval is 1.44.

Hence critical value is 1.44.

By substituting the parameters, we have that

0.08 = 1.44 × 1.3/ √n

0.08 = 1.873/ √n

By cross multiplying

0.08 × √n = 1.873

√n = 1.873/ 0.08

√n = 23.41

n = (23.41)²

n = 547.

7 0
3 years ago
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