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Fudgin [204]
3 years ago
11

Please answer quick! The stock of Company A gained 4.25% today to $16.68. What was the opening price of the stock of the beginni

ng of the day? Thanks
Mathematics
1 answer:
erik [133]3 years ago
5 0

Answer:

The opening price of the stock at the beginning of the day is $16

Step-by-step explanation:

Here, we are interested in calculating the opening price of the stock at the beginning of the day.

Let the opening price be $x

So the amount of gain will be $16.68 - $x

Now, this value correspond to 4.25% of the opening price of the stock which is $x

Hence, mathematically;

4.25% of $x = 16.68 - x

4.25/100 * x = 16.68-x

4.25x/100 = 16.68-x

Cross multiply;

4.25x = 100(16.68-x)

4.25x = 1668 - 100x

100x + 4.25x = 1668

104.25x = 1668

x = 1668/104.25

x = $16

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A particular type of mouse's weights are normally distributed, with a mean of 359 grams and a standard deviation of 33 grams. If
igor_vitrenko [27]

Answer:

Following are the responses to the given points:

Step-by-step explanation:

Given:

\mu = 359 \ \ \ \ \ \sigma = 33\\\\

Using formula:

\to P(X = x) = P\left ( z < \frac{x-\mu }{\sigma } \right )

For point a:

\to x= 406\\\\P(X < 406 ) = P\left ( z < \frac{406-359 }{33 } \right )\\\\

                   = P\left ( z

For point b:

\to x= 461\\\\P(X > 461 ) = P\left ( z > \frac{461 -359 }{33 } \right )\\\\

                   = 1 - P\left ( z < 3.0909 \right )\\\\= 1 - 0.9990\\\\= 0.0001

For point c:

\to x= 406\ \ and \ \  461\\\\P(406

                              = 0.9990 - 0.9222\\\\= 0.0768\\\\

For point d:

P(X < 406) = 0.9222 = 92.22 \%\  that \ is \ greater \ than\ 50\%

Hence, the correct choice is "i".

For point e:

\to P(X > z) = 0.1\\\\\to 1 - P(X < z) = 0.1\\\\\to P(\frac{x-\mu }{\sigma }) = 0.9\\\\\to \frac{x-359}{33 } = 1.28\\\\ \to x = 401.24\\\\

5 0
3 years ago
A boat travels 287 miles in 287 hours (with a constant speed). How far can it travel in 231 hours (with the same speed)?
Anna007 [38]

Answer:

231 miles

Step-by-step explanation:

If the boat is travelling 287 miles in 287 hours than its one mile per minute. Therefore, in 231 hours, it will go 231 miles.

7 0
3 years ago
How much would it cost to buy x pounds of oranges? If oranges were 1.25$
Bogdan [553]

Answer:

$20

Step-by-step explanation:

if one ound = 16 ounces then you would do 1.25x16 witch equals $20

5 0
3 years ago
Please help!!!!!!!!!!!!!!!!!!!!
Ahat [919]
Greetings!

"Write and solve an equation to determine how many servings of this item ...exactly 45 grams of cholesterol"...

The variable in this equation would be the amount of servings she can eat of the items.
Lets represent this as x ; x=amount of servings

The item has 30 mg of cholesterol and she wants to only consume 45 mg.

The equation would be:
30x=45

Solve for x.
Divide both sides by 30.
(30x)/30=(45)/30
Simplify.
x=1.5&#10;

Alisa can consume 1.5 servings of the item each day.

Hope this helps.
-Benjamin


7 0
3 years ago
Our number of the day is 47 make a list how many different ways make the number of day
vekshin1
47/100 and 47.00 are what I can think of.
5 0
3 years ago
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