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Anna [14]
3 years ago
7

- Inessa ran 3 laps in 10 minutes. How long

Mathematics
1 answer:
Anni [7]3 years ago
8 0

Answer: 16 minutes and 40 seconds

Step-by-step explanation:

1.) Divide 10 minutes by 3 laps in order to find out how long it takes her to run a single lap. (it ends up being 3 minutes and 20 seconds per lap)

2.) Multiply this number by 5, you get 16 minutes and 40 seconds.

NOTE: remember that you’re using intervals of 60 (seconds in a minute) rather than intervals of 100.

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Last​ year, a person wrote 126 checks. Let the random variable x represent the number of checks he wrote in one​ day, and assume
Arisa [49]

Answer:  The mean number of checks written per​ day  =0.3452

Standard deviation=0.5875

Variance  =0.3452

Step-by-step explanation:

Given : The total number of checks wrote by person in a year = 126

Assume that the year is not a leap year.

Then  1 year = 365 days

Let the random variable x represent the number of checks he wrote in one​ day.

Then , the mean number of checks wrote by person each days id=s given by :-

\lambda=\dfrac{126}{365}\approx0.3452

Since , the distribution is Poisson distribution , then the variance must equal to the mean value i.e. \sigma^2=\lambda=0.3452

Standard deviation : \sigma=\sqrt{0.3452}=0.5875372328\approx0.5875

6 0
3 years ago
Consider three events A, B and C with following properties.
lisov135 [29]
By the inclusion/exclusion principle,

\mathbb P(D)=\mathbb P(A\cup B\cup C)
\mathbb P(D)=\mathbb P(A)+\mathbb P(B)+\mathbb P(C)-\bigg(\mathbb P(A\cap B)+\mathbb P(A\cap C)+\mathbb P(B\cap C)\bigg)+\mathbb P(A\cap B\cap C)
\mathbb P(D)=\dfrac14+\dfrac16+\dfrac14-\dfrac39+\dfrac1{13}
\mathbb P(D)=\dfrac{16}{39}\neq1

So the union of A, B, and C does not constitute the entire sample space.
5 0
3 years ago
Verify that a+b=b+a by taking a=6 and b=3/6
Klio2033 [76]

Answer:

13

Step-by-step explanation:

substitute all the numbers in

6+3/6+3/6+6=13

4 0
3 years ago
A ball is dropped from a certain height. The function below represents the height f(n), in feet, to which the ball bounces at th
fredd [130]

Answer:

Initial height or what the ball was originally bounced from a height of 9 feet

Step-by-step explanation:

9 represents the height that the ball was originally bounced from.

If you plug in 0 for n into f(n)=9(0.7)^n, you get:

f(0)=9(0.7)^0=9(1)=9.

9 feet is the initial height since that is what happens at time zero.

7 0
3 years ago
Christina rolls a number cube twice.What is the probability she rolls a prime number and then an odd number?
Arisa [49]
The probability is 3/6 (1/2) as there are 3 prime numbers on a dice (2,3,5) and also 3 odd numbers on a dice (1,3,5)
5 0
3 years ago
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