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2 years ago

Find the least length of a rope which can be cut into whole number of pieces of lengths 45cm, 75cm and 81 cm

Mathematics

1 answer:

choli [55]2 years ago

5 0

The least is 45 bc it is less than the other 2

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Researchers report that on average freshman who live on campus gain 15 pounds during their first year in college. You survey 10

neonofarm [45]

Answer: 1.460

Step-by-step explanation:

Given : Researchers report that on average freshman who live on campus gain 15 pounds during their first year in college.

Let $\mu$ represents the population mean .

Then, the set of hypothesis will be:-

$H_0: \mu=15$

$H_a:\mu\neq15$

We assume that this is normal distribution.

Sample size : n = 10, which is a small sample (n<30) ,s o we use t-test.

Sample mean : $\overliene{x}=16.2\ lbs$

Standard deviation : $\sigma=2.6$

The test statistic for population mean for small sample is given by :-

$t=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

$t=\dfrac{16.2-15}{\dfrac{2.6}{\sqrt{10}}}=1.45951276623\approx1.460$

Hence , the value of test statistic = 1.460

4 0

2 years ago

A group of n people enter an elevator in a building with k floors. Each person independently selects a floor uniformly at random

____ [38]

Answer:

Hence the person stop at floor by at least one person will be

E(X)=(summation from K=1 to k)[1-{(k-1)/k}^n]

Step-by-step explanation:

Given:

There are n peoples and k floors in a building.

Selects floor with 1/k probability .

To find :

Elevator stop at each floor by at least one person.

Solution:

Now

let K= number of floor at which at least one person will be stopping.

For getting E(X)

consider a variable Ak =1 if a least one person get of the elevator

and values for k=1,2,3.....k

K=(summation From k=1 to k)Ak

E(K)=((summation From k=1 to k) E[Ak]

=(summation From k=1 to k)[ $1-{(k-1/k)^n$

Hence the person stop at floor by at least one person will be

E(K)=(summation from K=1 to k)[1-{(k-1)/k}^n]

4 0

3 years ago

URGENT PLEASE HELP ME!!!!

lisabon 2012 [21]

Answer:

Step-by-step explanation:

Is A) median for town A is 30 which is less than for a town B, 40.

3 0

3 years ago

Read 2 more answers

The least common multiple of 9 and 42 through prime factorization?

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

9= 3*3

42=3*7*2

7 0

2 years ago

Ashley owns a food truck that sells tacos and burritos. She sells each taco for $3 and

aliya0001 [1]

Answer:

3t + 5.25b ≥ 340

Step-by-step explanation:

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2 years ago