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velikii [3]
3 years ago
12

Hotel managers wish to learn the average length of stay of all visitors that are senior citizens. A statistician determines that

to calculate a 90% confidence level estimate of the average length of stay to within +/- 1.5 days, a total of 65 senior visitors’ check-in/check-out records will have to be examined. How many records should be looked at to obtain a 90% confidence level estimate to within +/- 0.5 days?

Mathematics
1 answer:
LiRa [457]3 years ago
8 0

The answer & explanation for this question is given in the attachment below.

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Tricia has a birthday party. During the party, she opened 36 gifts, which was 60% of all her gifts. After the party, she opened
Reptile [31]

Answer:

She returned 5 gifts.

Step-by-step explanation:

36 gifts is 60% = 0.6 of all the gifts that she received. How many presents are 100% = 1?

36 gifts - 0.6

x gifts - 1

0.6x = 36

x = 36/0.6

x = 60

She received 60 gifts.

She opened the rest of the gifts and found that 25% of them were the same present

The rest is 60 - 36 = 24 gifts.

25% is (1/4)*24 = 6 duplicate figts

She returned all but one of the duplicate gifts.

That is, she returned 6 - 1 = 5 gifts.

8 0
3 years ago
A gas measuring 525 mL is collected at 104.66 kPa. What volume does this gas
Olegator [25]

Recall the ideal gas law:

<em>P V</em> = <em>n R T</em>

where

<em>P</em> = pressure

<em>V</em> = volume

<em>n</em> = number of gas molecules

<em>R</em> = ideal gas constant

<em>T</em> = temperature

If both <em>n</em> and <em>T</em> are fixed, then <em>n R T</em> is a constant quantity, so for two pressure-volume pairs (<em>P</em>₁, <em>V</em>₁) and (<em>P</em>₂, <em>V</em>₂), you have

<em>P</em>₁ <em>V</em>₁ = <em>P</em>₂ <em>V</em>₂

(since both are equal to <em>n R T </em>)

Solve for <em>V</em>₂ :

<em>V</em>₂ = <em>P</em>₁ <em>V</em>₁ / <em>P</em>₂ = (104.66 kPa) (525 mL) / (25 kPa) = 2197.86 mL

3 0
3 years ago
Brian deposited $4000 into an account with 5.4% interest, compounded monthly. Assuming that no withdrawals are made, how much wi
Yanka [14]
The future value of the amount deposited will be given by:
FV=p(1+r/100n)^nt

where:
FV=future value
p=principle
r=rate
n=terms
t=time
thus substituting our values in the formula we get:
FV=4000(1+5.4/1200)^(6×12)
FV=$5,526.57

Answer: $5,526.57
8 0
3 years ago
Write a system of linear equations for the graph below.​
sp2606 [1]
<h2>Answer:</h2>

We need to determine the equation of both lines first.

  • Line 1: <em>y = -2x + 3</em>
  • Line 2: <em>y = -1/3x - 2</em>

Now that we know the equations, we can set up a system of equations for this graph where both equations are in standard form.

Line 1:

y = -2x + 3\\\\2x + y = 3

Line 2:

y = -\frac{1}{3}x - 2\\\\\frac{1}{3}x + y = -2

<em>Final answer:</em>

2x + y = 3\\\frac{1}{3}x + y = -2

5 0
3 years ago
Read 2 more answers
If angle ABD is 90 degrees. Select all of the angles that measure 42 degrees.
m_a_m_a [10]

Answer:

Measure of angle 2 and angle 4 is 42°.

Step-by-step explanation:

From the figure attached,

m∠ABC = 42°

m(∠ABD) = 90°

m(∠ABD) = m(∠ABC) + m(∠DBC)

90° = 43° + m(∠DBC)

m(∠DBC) = 90 - 43 = 47°

Since ∠ABC ≅ ∠4 [Vertical angles]

m∠ABC = m∠4 = 42°

Since, m∠3 + m∠4 = 90° [Complimentary angles]

m∠3 + 42° = 90°

m∠3 = 90° - 42°

        = 48°

Since, ∠5 ≅ ∠3 [Vertical angles]

m∠5 = m∠3 = 48°

m∠3 + m∠2 = 90° [given that m∠2 + m∠3 = 90°]

m∠2 + 48° = 90°

m∠2 = 90 - 48 = 42°

m∠3+ m∠4 = 90° [Since, ∠3 and ∠4 are the complimentary angles]

48° + m∠4 = 90°

m∠4 = 90 - 48 = 42°

Therefore, ∠2 and ∠4 measure 42°.

5 0
3 years ago
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