Solve the equation. Please make sure you double-check your solution (answer). 15 = z -35
1 answer:
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Answer:
Step-by-step explanation:
We are finding the probability, which is a percentage, of each of these intervals on our standard bell curve. In order to find this percentage, we need to find the z-score that provides this percentage. To find the z-score:
which is the number in question minus the mean, all divided by the standard deviation. We're first looking for the probability that the gas mileage on a certain model of car is less than 26 mpg.
To find this z-score:
Depending upon which table you look at for the z-score determines how you will find it. The z-score that measure from the value and to the left of it is what we need. This decimal is .3085375, or 30.8538%.
Onto b., which is for the percentage of cars that have gas mileage over 34 mpg. Find the z-score, and this time, we look to the right of the value for the percentage:
and to the right of 1.5 standard deviations we will find .0668072, or 6.68072%
Then finally c., which wants the probability that the gas mileage on one of these cars is greater than 22 but less than 34 mpg. To do this we have to find the z-scores of each and then do some subtracting. First the z-scores:
The percentage of data that lies to the right of that z-score is .9331927
The z-score for the other value, 34, was already found as 1.5, having .0668072 of the data to the right of that z-score. We subtract the smaller from the larger to determine what's left in-between:
.9331972 - .0668072 = .86639, or as a percentage, 86.639% of the cars fall into this interval for gas mileage.
Answer:
88 shares of Wall-Mart stock,
a) Step-by-step explanation, 22 shares of Mattel stock. b) $192
Given:
Suppose Wall-Mart stock is selling at $59 a share and Mattel stock is selling at $28 a share.
Amy has a maximum of $6000 to invest.
She wishes to purchase four times as many shares of Wall-Mart as of Mattel.
Only whole shares of stock can be purchased.
Question asked:
a) How many shares of each will she purchase?
b) How much money will be left over?
Solution:
Selling price of each share of Wall-Mart stock = $59
Selling price of each share of Mattel stock = $28
Let number of shares of Mattel stock purchased =
Then, number of shares of Wall-Mart stock =
Total money invested =$6000
<u>Shares of Mattel stock </u><u> $28 + Shares of Wall-Mart stock </u>
<u> $59 = $6000</u>
Dividing both sides by 264
<em>That means, total 22 shares of Mattel stock is purchased and 192 is the money left over:-</em>
Number of shares of Wall-Mart stock = =
Total amount spent on Mattel stock shares = 22 $28 = $616
Total amount spent on Wall-mart stock shares = 88 $59 = $5192
Total amount spent on both shares = $616 + $5192 = $5808
Money left over = $6000 - $5808 = $192
a) He will purchase 88 shares of Wall-Mart stock and 22 shares of Mattel stock.
b) Money left over is $192.