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Sedbober [7]
3 years ago
5

4. Find the volume of the rectangular prism. 16 cm 6 cm 12 cm

Mathematics
1 answer:
viktelen [127]3 years ago
4 0

Answer:

1152

Step-by-step explanation:

Look at the picture I put in

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Which expression is equivalent to 2(x+7)-18+4/5 ?
Vadim26 [7]

Answer:

4.7/5

Step-by-step explanation:

7 0
3 years ago
Please need help on this
IrinaVladis [17]

The first statement is true.

The second statement is false.

The third statement is true.


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4 years ago
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What is an equation of the line that passes through the point (2, 2) and is parallel to
pantera1 [17]

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a

Step-by-step explanation:

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3 0
3 years ago
For her phone service, Martina pays a monthly fee of $25, and she pays an additional $0.07 per minute of use. The least she has
Mekhanik [1.2K]

Answer: Anything that is 1202 or larger

In other words, m \ge 1202

So we could have m = 1202, or m = 1203, or m = 1204, etc.

===============================================

Explanation:

  • m = number of minutes used
  • 0.07m = amount charged for those minutes used excluding the $25
  • 0.07m+25 = total monthly bill now including the extra $25 fee

The monthly bill is at least $109.14, since this is the lowest amount she has been charged.

\text{monthly bill} \ge 109.14\\\\0.07m+25 \ge 109.14\\\\0.07m \ge 109.14-25\\\\0.07m \ge 84.14\\\\m \ge \frac{84.14}{0.07}\\\\m \ge 1202\\\\

This says that the least number of minutes Martina has used is 1202 minutes.

So if m was a whole number, then m could be selected from the set {1202, 1203, 1204, ...}

Side note: 1202 minutes = 1202/60 = 20.033 hours approximately.

8 0
3 years ago
The National Center for Health Statistics (NCHS) reports that 70%70% of U.S. adults aged 6565 and over have ever received a pneu
Marianna [84]

Answer:

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they received a pneumococcal vaccination, or they did not. The probability of an adult receiving a pneumococcal vaccination is independent of other adults. 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.

70% of U.S. adults aged 65 and over have ever received a pneumococcal vaccination.

This means that p = 0.7

20 adults

This means that n = 20

Determine the probability that exactly 12 members of the sample received a pneumococcal vaccination.

This is P(X = 12).

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

P(X = 12) = C_{20,12}.(0.7)^{12}.(0.3)^{8} = 0.1144

11.44% probability that exactly 12 members of the sample received a pneumococcal vaccination.

3 0
3 years ago
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