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Ainat [17]
3 years ago
13

determine whether the question is a statistical question. If it is a statistical question, identify the units for the answer. “H

ow tall is sam?”
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
3 0

Answer:

No

Step-by-step explanation:

Here we are taking only one measurement:  the height of one person.  Strictly speaking, this is NOT a statistical question.

"List the heights of a sample of 50 first-graders" would definitely be a stat. question.

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Show that 3 · 4^n + 51 is divisible by 3 and 9 for all positive integers n.
-BARSIC- [3]

Answer:

Step-by-step explanation:

Hello, please consider the following.

3\cdot 4^n+51=3\cdot 4^n+3\cdot 17=3(4^n+17)

So this is divisible by 3.

Now, to prove that this is divisible by 9 = 3*3 we need to prove that

4^n+17 is divisible by 3. We will prove it by induction.

Step 1 - for n = 1

4+17=21= 3*7 this is true

Step 2 - we assume this is true for k so 4^k+17 is divisible by 3

and we check what happens for k+1

4^{k+1}+17=4\cdot 4^k+17=3\cdot 4^k + 4^k+17

3\cdot 4^k is divisible by 3 and

4^k+17 is divisible by 3, by induction hypothesis

So, the sum is divisible by 3.

Step 3 - Conclusion

We just prove that 4^n+17 is divisible by 3 for all positive integers n.

Thanks

4 0
3 years ago
A right triangle has legs of lengths 19 and 10 inches. Find the length of
AnnZ [28]

Answer:

21.5

Step-by-step explanation:

19^2+10^2=461

square root of 461 =21.47091055

round to the nearest tenth to get 21.5

7 0
3 years ago
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Hope this helps!
@SamSamySamantha!
6 0
3 years ago
Find the solution to the equation 1over 2 (t-6)=1
Fynjy0 [20]

Answer:

1/2(t-6)=1

1/2(t-6)=1x2

1/2(t-6)=2

t/2-6/2=2/1

t/2-3/1=2/1

t/2-3=2

t/2=2-3

t/2=-1

t/2=-1/1

t=-2x1

t=-2

6 0
3 years ago
Hey guy's how yall day​
Fiesta28 [93]

Answer:

Its been good so far. My stomach hurts a little it but I ate a chocolate muffin and a UN-crust able so that's good

Step-by-step explanation:

6 0
3 years ago
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