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Korvikt [17]
2 years ago
10

Tyler and Elena are on the cross country team.

Mathematics
1 answer:
romanna [79]2 years ago
5 0

Answer:

Tyler ran <em>0.06 miles farther </em>than Elena

Step-by-step explanation:

From the graph we can find the distance ran by Tyler in 10 minutes is approximately 1.24 miles

Given the equation for Elena's distances and times is

y=8.5x, where x is the distance in miles and y is the time in minutes, we can know the value of x when y = 10 minutes

x=\frac{y}{8.5} =\frac{10}{8.5}=1.18 miles

With this numbers at hand, we can infer Tyler ran 1.24 - 1.18 = 0.06 miles farther than Elena

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ahrayia [7]

Answer:

D. The mathematical expectation of Option A is 1. The mathematical expectation of Option B is 1.5. Option B offers a greater likelihood of advancing to the finish line.

Step-by-step explanation:

The result of a product is odd only when the two numbers are odds.

There are 6*6 = 36 possible outcomes when two dice are rolled. Only 9 of them are a combination of two odd numbers: {1, 1} {1, 3} {1, 5} {3, 1} {3, 3} {3, 5} {5, 1} {5, 3} {5, 5}. Then 36 - 9 = 27 outcomes are even.

P(even) = 27/36 = 0.75

Option A) Mathematical expectation: 0.75*4 + 0.25*(-8) = 1

Option B) Mathematical expectation: 0.75*5 + 0.25*(-9) = 1.5

8 0
2 years ago
a job applicant estimates that his chances of passing a qualifying examination is 3/4. and his chance of being appointed if he d
Tpy6a [65]
Hello!!

P (Passing a qualifying examination) = 3/4

P (Being appointed if he does pass) = 3/8

P (Recieve the job) = 3/4 × 3/8 = 9/24

Good luck :)
3 0
2 years ago
Read 2 more answers
Suppose a research paper states that the distribution of the daily sea-ice advance/retreat from each sensor is similar and is ap
Luda [366]

Answer:

The value of the parameter is λ is 0.03553357

Step-by-step explanation:

Consider the provided function.

f(x) = 0.5\lambda e^{-\lambda |x|} for −∞ < x < ∞.

It is given that standard deviation is given as 39.8 km.

Now we need to calculate the value of parameter λ.

The general formula for the probability density function of the double exponential distribution is: f(x)=\frac{e^{-|\frac{x-\mu}{\beta}|}}{2\beta}

Where μ is the location parameter and β is the scale parameter.

Compare the provided equation with the above formula we get.

\lambda=\frac{1}{\beta} and μ = 0.

Standard deviation = √2β

S.D=\sqrt{2} \beta\\\beta=\frac{39.8}{\sqrt{2}}\\\beta=28.1424

Now substitute the value of β in \lambda=\frac{1}{\beta}.

\lambda=\frac{1}{28.1424}=0.03553357

Hence, the value of the parameter is λ is 0.03553357

3 0
2 years ago
6 tractors take 10days to collect the harvest. How long would it take 18 tractors to do the same amount of work?
Nutka1998 [239]
This is a question of proportionality. However, it is not direct proportionality as it is expected that as the number of tractors increases, the work is finished faster as opposed to fewer number of tractors. This is referred to as inverse proportionality.

Therefore;
6 tractors ----- 10 days
18 tractors --- x days

Then,
x = (6*10)/18 = 10/3 days = 3 days, and 8 hours.

This means that 18 tractors will take 3 days and 8 hours to collect the same harvest.
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2 years ago
290 pennies are equal to how many dimes
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29 dimes
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