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2 years ago

Javier is building a model train. He has enough track for a train that is

1 answer:

5 0

He doesn’t have enough for both to be on at a time but if the cars are on without the train the cars will take up 2.4 meters leaving them with an extra .1 meters of length

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This is Mathematics 800

Lena [83]

Answer:

It is possible to get all 8 in one go. However, it is very unlikely because...

Step-by-step explanation:

You have a 1/8 chance of getting the dinosaur you want from a box. That means obviously you are significantly more likely to get another less dinosaur. Which it likely won't have lasers and stuff. Which is always sad.

The theoretical probability is far less likely to actually happen than the experimental probability.

8 0

3 years ago

Please help with these two questions if you can it would really make my day!<br><br> 20 points

Svetllana [295]

1st one is 512L
2nd one is 125mL
let me know if im wrong

7 0

3 years ago

Read 2 more answers

On new years Eve,The temperature fell by 24 degrees in a span of 6 hours by how many degrees did the temperature fall every hour

RoseWind [281]

Answer:

4 degrees

Step-by-step explanation:

24 degrees :6 hours

divide by 6 for the unit rate.

4 degrees : 1 hour

5 0

2 years ago

Read 2 more answers

The following are the number of sales which a sample of 9 car salespeople of an insurance company in Florida and a sample of 8 s

Montano1993 [528]

Answer:

There is no difference in the number of sales between The Florida salespeople and Washington salespeople

Sp^2 = 39

Step-by-step explanation:

Given data :

Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54

Washington: 42, 43, 56, 50, 49, 52, 53, 56

number of sales persons in Florida = 9

number of sales persons in Washington = 8

variance = constant

a)Determine if there is difference between the Florida salespeople and Washington salespeople

we will carry out a two tailed test based on the given data

H0 : u1 = u2

H1 : u1 ≠ u2

x ( mean ) = 46.77, y ( mean ) = 50.13 ,

s1^2 = 39.69, s2^2 = 28.41, n1 = 9 , n2 = 8

therefore :

Sp^2 = $\frac{n1s1^2 + n2s2^2}{n1 + n2-2}$ = 38.96 ≈ 39

performing test statistic

t = $\frac{x- y }{sp\sqrt{\frac{1}{n1} +\frac{1}{n2} } }$ = $\frac{-3.36}{3.0330}$ = -1.1078

critical value is at t = 0.05 and for a two tailed test it is at 2.13 therefore e accept H0 at 5% . This shows that there is no difference in sales

5 0

2 years ago

Prove the following by induction. In each case, n is apositive integer.<br> 2^n ≤ 2^n+1 - 2^n-1 -1.

frutty [35]

<h2>Answer with explanation:</h2>

We are asked to prove by the method of mathematical induction that:

$2^n\leq 2^{n+1}-2^{n-1}-1$

where n is a positive integer.

Let us take n=1

then we have:

$2^1\leq 2^{1+1}-2^{1-1}-1\\\\i.e.\\\\2\leq 2^2-2^{0}-1\\\\i.e.\\2\leq 4-1-1\\\\i.e.\\\\2\leq 4-2\\\\i.e.\\\\2\leq 2$

Hence, the result is true for n=1.

Let us assume that the result is true for n=k

i.e.

$2^k\leq 2^{k+1}-2^{k-1}-1$

Now, we have to prove the result for n=k+1

i.e.

<u>To prove:</u> $2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1$

Let us take n=k+1

Hence, we have:

$2^{k+1}=2^k\cdot 2\\\\i.e.\\\\2^{k+1}\leq 2\cdot (2^{k+1}-2^{k-1}-1)$

( Since, the result was true for n=k )

Hence, we have:

$2^{k+1}\leq 2^{k+1}\cdot 2-2^{k-1}\cdot 2-2\cdot 1\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{k-1+1}-2\\\\i.e.\\\\2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-2$

Also, we know that:

$-2$

(

Since, for n=k+1 being a positive integer we have:

$2^{(k+1)+1}-2^{(k+1)-1}>0$ )

Hence, we have finally,

$2^{k+1}\leq 2^{(k+1)+1}-2^{(k+1)-1}-1$

Hence, the result holds true for n=k+1

Hence, we may infer that the result is true for all n belonging to positive integer.

i.e.

$2^n\leq 2^{n+1}-2^{n-1}-1$ where n is a positive integer.

6 0

3 years ago