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Flauer [41]
3 years ago
11

A man completes 10 laps of a circular track with a radius of 4.5 metres (when rounded to one decimal place). Find the minimum an

d maximum distance that he runs
Mathematics
1 answer:
il63 [147K]3 years ago
5 0
Circumference of a circle: 2<span>πr

Simply input the radius, multiply the answer by 10 (because the man runs 10 laps) and solve!

Distance traveled = (</span>2πr) 10
                               = 2π(4.5m) 10
                               = ~ 282.743m

Hope this helps!
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Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.3. (Round your ans
Maurinko [17]

Answer:

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 1.3

Sample size, n = 12

We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3}{\sqrt{12}} = 0.3753

P(sample mean hardness for a random sample of 12 pins is at least 51)

P( x \geq 51) = P( z \geq \displaystyle\frac{51 - 50}{0.3753}) = P(z \geq 2.6645)

= 1 - P(z < 2.6645)

Calculation the value from standard normal z table, we have,  

P(x \geq 51) = 1 - 0.9961= 0.0039

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

3 0
3 years ago
Please help me solve this problem with step by step explanation.​
Kisachek [45]

Answer:

Im not rally sure but maybe 5.71 , here is my explanation :

Step-by-step explanation:

Tan 55 =x/4

tan 55 = 1/42814

1/42814 = x /4

×=5.712592027 .

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3 years ago
(x+3)²(65)=x(6)<br>Solve using quadric formula​
Angelina_Jolie [31]

Step 1: Simplify both sides of the equation.

  • 65x²+390x+585=6x

Step 2: Subtract 6x from both sides.

  • 65x²+390x+585−6x=6x−6x
  • 65x²+384x+585=0

For this equation: a=65, b=384, c=585

  • 65x²+384x+585=0

Step 3: Use quadratic formula with a=65, b=384, c=585

  • x=−b±√b2−4ac/2a
  • x=−(384)±√(384)2−4(65)(585)/
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  • x=−384±√−4644/130

Therefore, There are no real solutions.

6 0
3 years ago
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Molodets [167]

Answer:

Median is 24.5

Step-by-step explanation:

Median is the middle number in a set of numbers. If we have two middle numbers, we get the average. And from the question, listing them out, we have this

0,1, 2, 3,4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49.

The middle number here is 24 and 25. Getting their average will be 24.5

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Evaluate 725+ 41092 -5688​
Mazyrski [523]

Answer:

36129

Step-by-step explanation:

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