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3 years ago

7

Stock in Globin Publishing costs $8.72 per share. Mary buys 105 shares of Globin Publishing, and her broker charges a commission

of $348. How much did Mary pay for the stock?

1 answer:

matrenka [14]3 years ago

8 0

105 × $8.72 = $915.60
$915.60 + $348 = $1,263.60

Mary paid $1,263.60 for the stock.

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The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.725.72 millimeters and a standard de

suter [353]

Answer:

Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 5.72, \sigma = 0.07$

Top 5%:

X when Z has a pvalue of 0.95. So X when Z = 1.645

$Z = \frac{X - \mu}{\sigma}$

$1.645 = \frac{X - 5.72}{0.07}$

$X - 5.72 = 1.645*0.07$

$X = 5.84$

Bottom 5%:

X when Z has a pvalue of 0.05. So X when Z = -1.645

$Z = \frac{X - \mu}{\sigma}$

$-1.645 = \frac{X - 5.72}{0.07}$

$X - 5.72 = -1.645*0.07$

$X = 5.60$

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3 years ago

The price, e, of an entertainment system at extreme electronics is $220 less than twice the price, u, of the same system at ultr

MrMuchimi

Answer: The price of system at extreme electronics is $570 and the price of system at ultra electronics is $395.

Step-by-step explanation:

Let the price of the system at the ultra electronics be u

Let the price of the system at extreme electronics be e

According to question, we have

$2u-e=220\\\\and\\\\e-u=175$

Now, using the substitution method, we will solve the above system of equations.

$e-u=175\\\\e=175+u$

Now, put the value of u in the first equation :

$2u-e=220\\\\2u-(175+u)=220\\\\2u-175-u=220\\\\u-175=220\\\\u=220+175\\\\u=\$395$

Now, we put the value of u in the equation which is given by:

$e=175+u\\\\e=175+395\\\\e=\$570$

Hence, the price of system at extreme electronics is $570 and the price of system at ultra electronics is $395.

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4 years ago