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Norma-Jean [14]
2 years ago
14

According to Thomson Financial, last year the majority of companies reporting profits had beaten estimates. A sample of 162 comp

anies showed that 98 beat estimates, 29 matched estimates, and 35 fell short. (a) What is the point estimate of the proportion that fell short of estimates
If required, round your answer to four decimal places. pshort = (b) Determine the margin of error and provide a 95% confidence interval for the proportion that beat estimates. If required, round your answer to four decimal places. ME = (c) How large a sample is needed if the desired margin of error is 0.05?
Mathematics
1 answer:
Debora [2.8K]2 years ago
4 0
(8xd) or ur ganna be (78b)
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Which algebraic expression is equivalent to the expression below?
Vera_Pavlovna [14]
<h3><u>Answer:</u></h3>

=11n+18

<h3><u>Step-by-step explanation:</u></h3>

3n+13+5+8n

<h3><u>Combine Like Terms:</u></h3>

=3n+13+5+8n

=(3n+8n)+(13+5)

=11n+18

6 0
2 years ago
Write the expression in factored form x^2 + 12x + 36
Alex Ar [27]
(x + 6) (x + 6)

(x + 6)^2
6 0
2 years ago
3. In an auditorium, 1/6 of the students are fifth graders, 1/3 are fourth graders, and 1/4 of the remaining students are second
Katen [24]

12

<h3>Further explanation</h3>

<u>Given:</u>

In an auditorium,

  • \frac{1}{6} of the students are fifth graders,
  • \frac{1}{3} are fourth graders, and
  • \frac{1}{4} of the remaining students are second graders.

There are 96 students in the auditorium.

<u>Question:</u>

How many second graders are there?

<u>The Process:</u>

The least common multiple (LCM) of 3 and 6 is 6.

Let us draw the diagram of all students.

96 \div 6 \ units = 16 \rightarrow \boxed{16}\boxed{16}\boxed{16}\boxed{16}\boxed{16}\boxed{16} = 96 \ students

  • \frac{1}{6} of the students are fifth graders, or 1 of 6 units above, that is \boxed{16} = 16 \ students
  • \frac{1}{3} = \frac{2}{6} are fourth graders, or 2 of 6 units above, that is \boxed{16}\boxed{16} = 32 \ students

The remainder is 6 units - (1 unit + 2 units) = 3 units, that is \boxed{16}\boxed{16}\boxed{16} = 48 \ students. Or, 96 - 16 - 32 = 48 students.

\frac{1}{4} of the remaining students are second graders.

Let us count how many second graders are there.

\boxed{ \ \frac{1}{4} \times 48 \ students = ? \ }

Thus, there are 12 second-graders in the auditorium.

- - - - - - - - - -

Quick Steps

\boxed{ \ \frac{1}{4} \times \bigg(1 - \frac{1}{6} - \frac{1}{3} \bigg) \times 96 = ? \ }

\boxed{ \ = \frac{1}{4} \times \bigg(\frac{6}{6} - \frac{1}{6} - \frac{2}{6} \bigg) \times 96 \ }

\boxed{ \ = \frac{1}{4} \times \frac{3}{6} \times 96 \ }

\boxed{ \ = \frac{3}{24} \times 96 \ }

We crossed out 24 and 96.

\boxed{ \ = 3 \times 4 \ }

\boxed{\boxed{ \ = 12 \ students \ }}

<h3>Learn more</h3>
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Keywords: In an auditorium, 1/6 of the students, fifth graders, 1/3, fourth, 1/4, the remaining students, second, 96, how many, second graders

3 0
3 years ago
Read 2 more answers
Which of the following are true statements? Select two that apply.
Savatey [412]

Answer:

Options A and C are correct answers

Step-by-step explanation:

A) \angle 5\: and \:\angle 1 are complementary.

C) \angle 3\: and \:\angle 4 form a linear pair.

Hope it helps you in your learning process.

7 0
3 years ago
The Calm Spa charges annual fee of $125 plus $10 per hour of use. The Relax Spa charges annual dues of $230 plus $7 per hour of
Oksi-84 [34.3K]

Answer:

The total number of hours = 35 hours.

Step-by-step explanation:

The annual fee of Calm Spa = $125

Per hour charge of Calm Spa = $10

Annual fee of Relax Spa = $230

Per hour charge of Relax Spa = $7

Now we have to find the number of hours for which both have same cost.

Let the number of hours = x

Thus, 125 + 10x = 230 + 7x

10x-7x = 230 – 125

3x = 105

x = 35

The total number of hours = 35 hours.

6 0
2 years ago
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