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Elina [12.6K]
2 years ago
8

9^2(x-1) = 27^x how do I solve this equation?

Mathematics
1 answer:
serg [7]2 years ago
5 0
Answer: x = 2

Explanation: 9^2x-1 = 3^2 • (2x - 1) = 3^4x-2

27x = 3^3x

Upon equating: 3^4x-2 =3^3x

Since the base is equal , we can equate the powers:

4x - 2 = 3x
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supervisor records the repair cost for 25 randomly selected dryers. A sample mean of $93.36 and standard deviation of $19.95 are
Simora [160]
<h2><u>Answer with explanation:</u></h2>

The confidence interval for population mean (when population standard deviation is unknown) is given by :-

\overline{x}-t^*\dfrac{s}{\sqrt{n}}< \mu

, where n= sample size

\overline{x} = Sample mean

s= sample size

t* = Critical value.

Given : n= 25

Degree of freedom : df=n-1=24

\overline{x}= \$93.36

s=\ $19.95

Significance level for 98% confidence interval : \alpha=1-0.98=0.02

Using t-distribution table ,

Two-tailed critical value for 98% confidence interval :

t^*=t_{\alpha/2,\ df}=t_{0.01,\ 24}=2.4922

⇒ The critical value that should be used in constructing the confidence interval = 2.4922

Then, the 95% confidence interval would be :-

93.36-(2.4922)\dfrac{19.95}{\sqrt{25}}< \mu

=93.36-9.943878< \mu

=93.36-9.943878< \mu

=83.416122< \mu

Hence, the 98% confidence interval for the mean repair cost for the dryers. = 83.4161

4 0
3 years ago
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user100 [1]

Answer:

Direct variation

Step-by-step explanation:

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6 0
2 years ago
If you are at mile marker 100 when you start your trip and mike marker 300 four hours later, where were you after 3 hours (assum
Marysya12 [62]

After 3 hours, you will be on 450 mile marker.

Step-by-step explanation:

<u>step 1:</u> At start, the number in the mile marker is 100

<u>step 2:</u> After 4 hours, the number in the mile marker is 300

<u>step 3:</u> The difference of 300-100= 200. In 4 hours you crossed 200 mile markers.

<u>step 4:</u> Therefore, for 1 hour you can cross= 200/4= 50 mile markers.

For 3 hours, the number of mile markers crossed= 3*50= 150 mile markers.

<u>step 5:</u> After 3 hours, the number in the mile marker will be= 300+150= 450

5 0
3 years ago
CAN SOMEONE PLEASE HELP ME WITH 13?!
Orlov [11]
I’m not sure never took that test
4 0
2 years ago
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If 4 pairs of socks costs $10. 00, how many pairs of socks can be purchased for $22. 50?.
klasskru [66]
9 pairs.

If 4 pairs of socks cost $10.00 and you have $22.50 to spend then you can buy 9 pairs of socks leaving you with $0.00 left over.
Each pair of socks cost $2.50.
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