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2 years ago

Which of the following is the inverse of y=6^x ?

Mathematics

2 answers:

lord [1]2 years ago

4 0

Y=6^x
log y = log 6^x
log y = x log 6
(log y) / (log 6) = x
Inverse: y = (log x) / (log 6)

ValentinkaMS [17]2 years ago

3 0

We have that
y=6^x
we know
to find the inverse
replace x with y and y with x,
x=6^y

we know that
y=logb(x)----------> x=b^y

therefore
x=6^y---------------> y=log6(x)

the answer is the option A.) Y=log 6x

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nlexa [21]

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2 years ago

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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting. It is

yan [13]

Answer:

No, there is not sufficient evidence to support the claim that the bags are underfilled

Step-by-step explanation:

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.

This means that the null hypothesis is:

$H_{0}: \mu = 434$

It is believed that the machine is underfilling the bags.

This means that the alternate hypothesis is:

$H_{a}: \mu < 434$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

434 is tested at the null hypothesis:

This means that $\mu = 434$

A 9 bag sample had a mean of 431 grams with a variance of 144.

This means that $X = 431, n = 9, \sigma = \sqrt{144} = 12$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{431 - 434}{\frac{12}{\sqrt{9}}}$

$z = -0.75$

P-value of the test:

The pvalue of the test is the pvalue of z = -0.75, which is 0.2266

0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.

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2 years ago

20 Fuji apples cost $12. How many Fuji apples can you buy for $3?

ryzh [129]

Answer:

5 apples

Step-by-step explanation:

First, we must find the cost of one apple

12/20 = the cost of one apple

= $0.60

Then, we divide 3 by the price of one apple

3/0.6 = amount of apple we can buy

= 5

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2 years ago

BE is a mid segment of triangle ACD and BD is parallel to AE. If AB = 4, AE = 5, CD = 6, the value of AD is:

Goshia [24]

The answer is simply A. 10

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2 years ago

12=24-y find yhelp me pleaseee

Reptile [31]

y = 12

Explanation: $12\text{ = 24 - y}$

We would collect like terms by subtracting 24 from both sides:

$12\text{ - 24= 24 - 24 - y}$ $\begin{gathered} -12\text{ = 0 - y} \\ -12=\text{ -y} \end{gathered}$ $\begin{gathered} \text{divide both sides by -1:} \\ \frac{-12}{-1}=\frac{-y}{-1} \\ y\text{ = 12} \end{gathered}$

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