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LUCKY_DIMON [66]
3 years ago
6

Help me with question 21 to get brainliest

Mathematics
1 answer:
Andrej [43]3 years ago
6 0

Step-by-step explanation:

We can call the original value x. In 2012, the painting's value was 1.05 x. In the beginning of 2013, the value was (1.05 x) * 0.98, and that increased to (1.05x) * 0.98 * 1.40 at the end of 2013. When we simplify, we get 1.4406 x as a value, and we know that this is equal to $52,640. We can write 1.4406x = 52640, and when we solve for x, we get x ≈ $36415.38. Hope this helps!

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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
Work out the circumference of a circle with radius 7.5 cm take pi to be 3.142
Elanso [62]

Answer:

47.13

Step-by-step explanation:

Circumfrence= 2 x pi x Radius

2 x 3.142 x 7.5 =47.13

5 0
3 years ago
Read 2 more answers
Brainliest if correct
natali 33 [55]

\left(15^{1/5} \right)^5  = 15^{(5/5)} = 15^1 = 15

6 0
2 years ago
At a hardware store a bag holds up to 1 pound of nails. Each penny nail (x) weighs 0.05 pounds and each wood nail (y) weighs 0.1
posledela
For this answer, you multiply the weight of each penny nail by x and the weight of each wood nail by y.  If the bag holds one pound of nails, you would use the inequality ≤.

.05x + 0.1y ≤ 1
7 0
3 years ago
Read 2 more answers
In the diagram below what is the approximate length of the minor arc XY
sveta [45]

C = 2pi r= 2 (3.14) (27) = 169.56

Let XY = x

169.56 / 360 = x / 60

360x = 169.56 * 60

360x = 10173.60

x = 28.26

x = 28.3

Answer is C. 28.3 cm

5 0
3 years ago
Read 2 more answers
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