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3 years ago

What is the value of x in the product of powers below? 6^9 6^x=6^2 -11 -7 11 7

Mathematics

2 answers:

Elodia [21]3 years ago

8 0

Answer:

x = - 7

Step-by-step explanation:

Using the rule of exponents

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$

Given

$6^{9}$ × $6^{x}$ = 6², then

$6^{(9+x)}$ = 6²

Since the bases on both sides are equal then equate the exponents

9 + x = 2 ( subtract 9 from both sides )

x = - 7

soldi70 [24.7K]3 years ago

4 0

Answer: -7

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago

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leonid [27]

Answer:

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3 years ago

Assume the readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees

lozanna [386]

Answer: 0.0035

Step-by-step explanation:

Given : The readings on thermometers are normally distributed with a mean of 0 degrees C and a standard deviation of 1.00 degrees C.

i.e. $\mu=0$ and $\sigma= 1$

Let x denotes the readings on thermometers.

Then, the probability that a randomly selected thermometer reads greater than 2.17 will be :_

$P(X>2.7)=1-P(\xleq2.7)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{2.7-0}{1})\\\\=1-P(z\leq2.7)\ \ [\because\ z=\dfrac{x-\mu}{\sigma}]\\\\=1-0.9965\ \ [\text{By z-table}]\ \\\\=0.0035$

Hence, the probability that a randomly selected thermometer reads greater than 2.17 = 0.0035

The required region is attached below .

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3 years ago