4) Ari can swim 2 laps per minute. Which equation represents the number of laps,

A track has lanes 1 meter wide. The turn radius of the inner lane is 25 meters. To make a fair race, the starting line in each l

Angelina_Jolie [31]

Assuming that there are N lanes and runners are running in the middle of each lane,
width of each lane = (1/N) [m]turning of first lane = π×(R+(1/N)×(1/2))
turning of second lane = π×(R+((1/N)×(1/2))+(1/N))

you can get the difference in turning lane simply by subtracting turning of first lane from turning of second lane.
If i worked the problem correctly, it should be π×(1/N) meter difference between each lane

8 0

2 years ago

If 6 pounds of apples cost $4.80 what is the cost per 9 pounds

Tema [17]

Answer:

Cost of 1 pound apple:4.80/6=2.4

cost of 9 pounds apple:2.4 ×9=21.6

6 0

2 years ago

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A real estate agent has 14 properties that she shows. She feels that there is a 50% chance of selling any one property during a

Ratling [72]

Answer:

91.02% probability of selling more than 4 properties in one week.

Step-by-step explanation:

For each property, there are only two possible outcomes. Either it is sold, or it is not. The chance of selling any one property is independent of selling another property. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 14, p = 0.5$

Compute the probability of selling more than 4 properties in one week.

Either you sell 4 or less properties in one week, or you sell more. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 4) + P(X > 4) = 1$

We want to find $P(X > 4)$ . So

$P(X > 4) = 1 - P(X \leq 4)$

In which

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{14,0}.(0.5)^{0}.(0.5)^{14} = 0.000061$

$P(X = 1) = C_{14,1}.(0.5)^{1}.(0.5)^{13} = 0.000854$

$P(X = 2) = C_{14,2}.(0.5)^{2}.(0.5)^{12} = 0.0056$

$P(X = 3) = C_{14,3}.(0.5)^{3}.(0.5)^{11} = 0.0222$

$P(X = 4) = C_{14,4}.(0.5)^{4}.(0.5)^{10} = 0.0611$

So

$P(X \leq 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.000061 + 0.000854 + 0.0056 + 0.0222 + 0.0611 = 0.0898$

Finally

$P(X > 4) = 1 - P(X \leq 4) = 1 - 0.0898 = 0.9102$

91.02% probability of selling more than 4 properties in one week.

8 0

3 years ago

Highly confused please help

IceJOKER [234]

$\displaystyle\\Answer:\ M(\frac{6}{13},-5)$

Step-by-step explanation:

$\displaystyle\\A(-3,-8)\ \ \ \ B(12,5)\ \ \ \ \ \lambda=\frac{3}{10}=0.3\ \ \ \ \ M(x_M,y_M)=?\\\\ x_M=\frac{x_A+\lambda (x_B)}{1+\lambda} \\\\x_A=-3\ \ \ \ \ x_B=12\\\\x_M=\frac{-3+0.3(12)}{1+0.3} \\\\x_M=\frac{-3+3.6}{1.3} \\\\x_M=\frac{0,6}{1.3}\\\\ x_M=\frac{0.6*10}{1.3*10} \\\\x_M=\frac{6}{13} \\\\$

$\displaystyle\\y_M=\frac{y_A+\lambda (y_B)}{1+\lambda} \\\\y_A=-8\ \ \ \ \ y_B=5\\\\y_M=\frac{-8+0.3(5)}{1+0.3}\\\\y_M=\frac{-8+1.5}{1.3} \\\\y_M=\frac{-6.5}{1.3} \\\\y_M=-\frac{1.3(5)}{1.3} \\\\y_M=-5$

6 0

1 year ago

A right triangle has a leg with a length of 21 units and a hypotenuse with a length of 21 V2 units Eunice states that because th

user100 [1]

Answer:

right angle

Step-by-step explanation:

4 0

3 years ago

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