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Sav [38]
3 years ago
11

Suppose a sample is taken from a population whose mean value is 51, as the sample size increase which value will the mean approa

ch
Mathematics
1 answer:
Agata [3.3K]3 years ago
7 0

Answer:

51

Step-by-step explanation:

Given

\mu = 51

Required

Where will the mean approach if sample size increase

Using central limit theorem, we have:

n \to \infty

\mu \to \mu

This means that; as n approaches infinity, the mean is almost expected to the \mu i.e. expected to remain unchanged.

Hence, the mean value will approach 51.

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2. A lunch stand makes s.75 profit on each chef's salad and $1.20 profit on each Caesar salad. On a typical weekday, it sells be
kow [346]

Let's let

<u>x = the number of chef salads, x>=0</u>

<u>y = the number of Caesar salads, y>=0</u>

The constrains are:

40 <= x <= 60

35 <= y <= 50

x + y <= 100

The objective function here is F(x, y) = 0.75x + 1.20y

The corner points are (40, 35),  (60, 35), (60, 40), (50, 50) and (40, 50).

F (40, 35) = 0.75*40 + 1.20*35 = $72

F (60, 35) = 0.70*60 + 1.20*35 = $84

F (60, 40) = 0.75*60 + 1.20*40 = $93

F (50, 50) = 0.75*50 + 1.20*50 = $97.50

F (40, 50) = 0.75*40 + 1.20*50 = $90

Thus, we conclude to maximize the profit 50 Chef and 50 Caesar salads should be prepared.

8 0
4 years ago
Jana can spend, at most, $200 on school clothes.
Soloha48 [4]

Answer:

x <= 200

Step-by-step explanation:

Your answer choices are unclear so I cannot specify a letter. The answer is

x<=200.

4 0
3 years ago
Read 2 more answers
Find the sum of this infinite geometric series where a1=0.3 and r=0.1
ratelena [41]

Answer:

1/3

Step-by-step explanation:

The formula for computing the sum of an infinite geometric series is

S=\frac{a_1}{1-r} where r is between -1 and 1 and r is the common ratio, and a_1 is the first term of the series.

So let's plug in:

S=\frac{0.3}{1-0.1}

S=\frac{0.3}{0.9}

S=\frac{3}{9} I multiplied bottom and top by 10.

S=\frac{1}{3} I divided top and bottom by 3.

The sum is 1/3.

8 0
3 years ago
A hunter shot 7 ducks. The hunter's dog recovered 5/7 of the ducks. How many ducks were recover
Katen [24]

Answer:

5

Step-by-step explanation:

Just multiply 5/7 by 7 since his dog retrieved 5/7 out of the 7 ducks he shot.

6 0
4 years ago
Read 2 more answers
What is the y-intercept of the line passing though the point (9,-7) with a slope of -1/8
Tomtit [17]

Answer:

y-intercept (0, -47/8)

Step-by-step explanation:

Point slope equation form:

y + 7 = -1/8(x - 9)

y + 7 = -1/8 x + 9/8

y = -1/8 x + 9/8 - 56/8

y = -1/8 x - 47/8

y = mx + b where m=slope and b = y intercept

In this case, y intercept = -47/8

Answer:

y-intercept (0, -47/8)

8 0
3 years ago
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