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Serga [27]
3 years ago
8

Simplify 9 to the 2nd over 9 to the 7th. 95 1 over 9 to the 9th 1 over 9 to the negative 5th 1 over 9 to the 5th

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
5 0
\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}\\\\
-------------------------------\\\\
\cfrac{9^2}{9^7}\implies \cfrac{1}{9^{-2}9^7}\implies \cfrac{1}{9^{-2+7}}\implies \cfrac{1}{9^5}\implies \cfrac{1}{59049}
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Can somebody plz help answer the rest of these questions correctly (only if u done this before) thx :3
kodGreya [7K]

Answer:

9. 16.34

10. 51.84

11. 20.11

12. 76.03

13. 64.09

just look up circumference of a circle and you should be able to put the radius in the first thing that pops up :)

4 0
3 years ago
Using the z table, find the critical value for a=0.024 in a left tailed test
natita [175]

Answer:

Critical value is -1.98.

Step-by-step explanation:

Given:

The value of alpha is, \alpha=0.024

Now, in order to find the critical value, we need to subtract alpha from 1 and then look at the z-score table to find the respective 'z' value for the above result.

The probability of critical value is given as:

P(critical)=1-\alpha=1-0.024=0.976

So, from the z-score table, the value of z-score for probability 0.976 is 1.98.

Now, in a left tailed test, we multiply the z value by negative 1 to arrive at the final answer. We do so because the area to the left of mean in a normal distribution curve is negative.

So, the z-score for critical value 0.024 in a left tailed test is -1.98.

7 0
3 years ago
Every 2.5 hours, a machine produces 150 baskets.
drek231 [11]

Answer:

60

Step-by-step explanation:

We use unit rate function,

Let h be hours

Let b be baskets

2.5h = 150b

We divide both sides by 2.5

2.5h/2.5 = 150b/2.5

Which will give us

h = 60

7 0
3 years ago
What’s the mean of 3 32 36 30 33 36
Daniel [21]

Answer:

Mean = 28.33

Step-by-step explanation:

Comment

You need two inputs. The first is the sum of the numbers and the second is the number of entries in the data.

Givens

Sum = 3 +  32 +   36 +   30 +   33 +   36

Number of entries = 6

Solution

Sum = 170

Mean = sum / number of enteries

Mean = 170 / 6

Mean = 28.33

4 0
2 years ago
How many sets of 7 questions can be chosen from a file of 25 questions?
likoan [24]
If all 25 questions are different,

When order of selection counts:
P(25,7)
=25!/(25-7)!
=15511210043330985984000000/6402373705728000
=2422728000

When order of selection does not count count:
C(25,7)
=25!/(7!*(25-7)!)
=15511210043330985984000000/(6402373705728000*5040)
=480700

3 0
3 years ago
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