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Rama09 [41]
3 years ago
8

9. Stan’s Deli is situated inside a large industrial park. The weekday gross sales at Stan’s average $1,240, with a standard dev

iation of $180. Find the probability that the average over the next 40 weekdays will exceed $1,200. Please note the assumptions that are used in making the calculation.
Mathematics
1 answer:
mr Goodwill [35]3 years ago
7 0

Answer:

0.9792

Step-by-step explanation:

Data provided in the question:

Average gross sales = $1,240

Standard deviation = $180

sample size = 40

Now,

standard deviation of sample average

= \frac{\textup{Standard deviation}}{\sqrt{n}}

= \frac{180}{\sqrt{40}}

= 28.46

Now,

z value for 1200 = \frac{(1200-1240)}{28.46} = -1.4,

and,

p value for (z = -1.4) = 0.0808

therefore,

P(average < $1200) = 0.0808

Thus,

probability that the average over the next 40 weekdays will exceed $1,200

= 1 - 0.808

= 0.9792

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 So the answer to this question is:

A= bees: f(t) = 1500 × (0.88)∧t

 plants: g(t) = 800 - 25×t

B: (Bees) 1500 × (0.88)∧6= 696.60
After 6 months (696 bees ):
800 - 25×6 = 650 (Flowering Plants)
After 6 months:

650 flowering plants

C: 1500 × (0.88)∧t=800 - 25×t
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3 years ago
I need help on these two question
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3.

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The height of a triangle is 2 less than 5 times it's base. If the base of the triangle is x feet, and the area of the triangle i
____ [38]

Answer:

Area A = 12 = 1/2 × x × (5x-2)

5x^2 - 2x -24 = 0

Solution;

Base x = 2.4

Height h = 10 ft

Step-by-step explanation:

Given;

base of the triangle is x feet;

Base = x

The height of a triangle is 2 less than 5 times it's base;

Height = 5x - 2

the area of the triangle is 12 square feet;

Area A = 12 ft^2

The area of a triangle is;

Area A = 1/2 × base × height

Substituting the base and height;;

Area A = 1/2 × x × (5x-2)

Area A = 1/2 × (5x^2 - 2x)

Area A = 12

12 = 1/2 × (5x^2 - 2x)

Multiply through by 2.

24 = (5x^2 - 2x)

5x^2 - 2x -24 = 0

Solving the simultaneous equation;

x = 2.4 or -2

Since the base cannot be negative;

x = 2.4 ft

Height h = 5x -2 = 5(2.4) - 2 = 12 - 2 = 10 ft

Base x = 2.4

Height h = 10 ft

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3 years ago
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25 7y8787 is the answer
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3 years ago
Read 2 more answers
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