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yawa3891 [41]
2 years ago
11

Mark has already run 33.4 miles this week. He can run 2.5 miles in one hour. Construct an equation that represents the total num

ber of miles run based on how many hours he runs for. What is the total number of miles he ran if he runs for 17 hours?
Mathematics
1 answer:
DanielleElmas [232]2 years ago
4 0

Answer:

y = 2.5x + 33.4, y = 75.9 miles

Step-by-step explanation:

Equation is y = 2.5x + 33.4

17 = 2.5 x + 33.4

y = 2.5 (17) + 33.4

y = 42.5 + 33.4

y = 75.9 miles

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A rental car company has noticed that the distribution of the number of miles customers put on rental cars per day is skewed to
kodGreya [7K]

Using the Central Limit Theorem, the correct option is:

(c) Average number of miles put on a rental car per day across 25 customers.

--------------------------

The Central Limit Theorem states that, for a normally distributed variable X, with mean \mu and standard deviation \sigma, the sample means of size m are approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

  • The interpretation related to this problem is that the larger the sample size, the smaller the standard deviation.
  • Thus, among the options, the largest sample is 25, thus, option c will have the smallest standard deviation.

A similar problem is given at brainly.com/question/23088374

5 0
2 years ago
The cost of fencing a circular field at the rate of Rs.24 per metre is Rs. 5280.
7nadin3 [17]

Answer:

radius = 35.03 m

Step-by-step explanation:

5280/24 = circumference = 220 m

220 /Pi = diameter = 70.06 m

70.06/2 = radius = 35.03 m

6 0
2 years ago
Peg and Larry purchased “no contract” cell phones. Pegs phone costs $25 plus $0.25 per minute. Larry’s phone cost $35 plus $0.20
marissa [1.9K]
Let x be the number of minutes Peg and Larry used their phones. So their costs can be written as:

Cost of Peg's Phone usage = 25 + 0.25x
Cost of Larry's Phone usage = 35 + 0.20x

We are to find when the Peg's phone will be more than Larry's phone. We can set up the inequality as:

25 + 0.25x > 35 + 0.20x

Re-arranging the inequality

0.25x - 0.20x > 35 - 25

0.05x > 10

x > 10/0.05

x > 200

Thus, Pag's phone will cost more if the number of minutes of phone usage is more than 200
5 0
3 years ago
A valet has 34 cars to park in a rectangular array, what are tge different ways the valet could park the cars
MrMuchimi
17 by 2 because 34 divided by 2 is 17
8 0
3 years ago
A 4. 9-mm-wide swimming pool is filled to the top. The bottom of the pool becomes completely shaded in the afternoon when the su
cestrela7 [59]

The depth of the swimming pool that is filled to the top is; 4 m

<h3>Snell's Law</h3>

I have attached a schematic diagram showing this question.

The correct width of the pool is 4 meters. Thus; w = 4 m

Incident Angle; θ₁ = 20°

A right angle is 90° and so the angle θ₂ is calculated from;

θ₂ = 90° - θ₁

θ₂ = 90° - 20°

θ₂ = 70°

We can use snell's law formula to find θ₃.

Thus;

n₁sinθ₂ = n₂sinθ₃

where;

n₁ is refractive index of air = 1

n₂ is refractive index of water = 1.33

Thus;

1*sin 70 = 1.33*sin θ₃

sin θ₃ = (sin 70)/1.33

Solving this gives;

θ₃ = 44.95°

By usage of trigonometric ratios we can find the depth of the pool using;

w/d = tan θ₃

Thus;

d = w/(tan θ₃)

d = 4/(tan 44.95)

d ≈ 4 m

Read more about Snell's Law at; brainly.com/question/10112549

6 0
2 years ago
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