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Zigmanuir [339]
2 years ago
11

What I'd the value of x

Mathematics
1 answer:
satela [25.4K]2 years ago
5 0

Answer:

Can you please give us figure so that i can help you

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What is the inverse of the function f(x) = 2x + 1?|
padilas [110]

Answer:

1st option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

\frac{y-1}{2} = x

Change y back into terms of x with x being the inverse h(x)

h(x) = \frac{x-1}{2} = \frac{1}{2} x - \frac{1}{2}

6 0
2 years ago
A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.
AVprozaik [17]

Answer:

X \sim N(61,14)  

Where \mu=61 and \sigma=14

Since the distribution for X is normal then the distribution for the sample mean  is also normal and given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\mu_{\bar X} = 61

\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715

So then is appropiate use the normal distribution to find the probabilities for \bar X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  The letter \phi(b) is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: \phi(b)=P(z

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(61,14)  

Where \mu=61 and \sigma=14

Since the distribution for X is normal then the distribution for the sample mean \bar X is also normal and given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

\mu_{\bar X} = 61

\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715

So then is appropiate use the normal distribution to find the probabilities for \bar X

8 0
3 years ago
Marcus is selling t-shirts at the State Fair. He brings 200 shirts to sell. He has long-sleeve and short-sleeved T-shirts for sa
saveliy_v [14]
Let x = number of long sleeve shirts Let y = number of short sleeve shirts x + y = 200 x/2 + y/3 = 80 Now solve this pair of simultaneous equations to find x and y.
5 0
3 years ago
Read 2 more answers
In 2000 South Dakota had a population of 754,844. The number of people in South Dakota increased by 7.9% in 2010. What is South
Novay_Z [31]

814,180. Hope I helped. If i didn't I am sos sorry. I would take 7.9 or .079 to 754,844 to get your number.

6 0
3 years ago
When f(n)=-8 what is the value of n?
Lelu [443]

Answer:

20 the answer is 20 because you plug in 4 for n.

8 0
3 years ago
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