What is the value of x?

At what rates did she invest? $1500 invested at___% $800 invested at ____%

frosja888 [35]

Answer:

4% and 5% respectively

Step-by-step explanation:

Let the intrest rate be x in the first account at x% and (x+1)% in the second account.

ATQ, 100=(x)*1500/100+(x+1)*800/100

x=4.

3 0

3 years ago

Alvin has a prism-like water tank whose base area is 0.90.90, point, 9 square meters and height is 0.60.60, point, 6 meters. He

Helen [10]

Answer:

2 fishes

Step-by-step explanation:

8 0

3 years ago

At least 96.00% of the data in any data set lie within how many standard deviations of the mean? Explain how you arrived at yo

zheka24 [161]

The answer assumes that the question is about the normal distribution.

Answer:

96% of the data in any data set normally distributed is 2.05 standard deviations above and below the mean.

Step-by-step explanation:

The key to solving this question is having into account that exists the standard normal distribution that permits obtaining any probability from any normally distributed data, doing the following transformation:

$\\ z = \frac{x-\mu}{\sigma}$

That is, in this case, we subtract a given value x from the population mean and then divide the result by the population standard deviation. This is a z-score, and this value is associated with the probability for a standard normal distribution, with a population mean = 0 and population standard deviation = 1.

Fortunately, for the standard normal distribution, there is associated a ubiquitous standard normal table for possible values of z and the corresponding probability. Then, knowing that the data are normally distributed and having both distribution parameters, namely, the population mean and population standard deviation, we can consult any standard normal table to find the probabilities for any data distributed following the normal distribution.

However, even without previously know the values of the normal parameters, the standard normal distribution can tell us how many standard deviations from the mean are 96.00% of the data for every normally distributed population.

<h3>Solving the question</h3>

Having all this information at hand, we know that the z-score value tells us how many standard deviations from the mean are the data normally distributed. As a result, we can determine how many standard deviations below and above the population mean represent the 96.00% of the cases for this normal distribution consulting a cumulative standard normal table from the mean.

If we divide 96.00/2 = 48, that is, 0.48, we need to find the z-score for this probability consulting a cumulative standard normal table from the mean. The values for a z-score for that probability is z=2.05, approximately. So, since the normal distribution is also symmetrical, those values are above and below the mean, that is, z =2.05 (above) and z=-2.05(below).

Thus, 96% of the data in any data set normally distributed is 2.05 standard deviations above and below the mean.

5 0

4 years ago

Andy purchased a pair of shoes for $40. They had been discounted 25%. What was the original price of the shoes

natali 33 [55]

Answer:160

Step-by-step explanation:first I did 40*100=4000 then I divide by 25 so I got 160

4 0

3 years ago

How many fluid ounces of vinegar should be mixed with 80 fluid ounces of water

patriot [66]

That depends on what you are making. If you are going for the vinegar cleanse thing that some people do on their face, then I would recommend either using 120 oz of vinegar or 160 oz vinegar. If you want salad dressing, then you don't use water at all, and instead you use olive oil and salt, Dijon mustard, pepper, and something like chopped shallots, and with this you would use only 1 fluid ounce of vinegar (this is a recipe you can find on epicurious.com). So it really depends on what you are trying to do. I personally like my water without vinegar, and I think that vinaigrette salad dressing is a lot better without 80 oz of water, but that is a personal preference.

5 0

3 years ago