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enot [183]
3 years ago
6

Weekly demand for a product is normally distributed with a mean and standard deviation of 3,211 and 484 units, respectively. Wha

t is the probability that weekly demand exceeds 4,044
Mathematics
1 answer:
umka21 [38]3 years ago
3 0

Answer:

The probability it is greater than or equal to 0.95 and less than or equal to 0.96

Step-by-step explanation:

In order to calculate the probability that weekly demand exceeds 4,044 we would have to calculate the z value as follows:

Z= (X-mean)/standard deviation

Z= (4044 - 3211)/484

Z=1.721

So, looking for standard normal distribution table 1.7 from row, we get values from 0.9554 till 0.9633, for column 0.02 it is 0.9573

Therefore, the probability it is greater than or equal to 0.95 and less than or equal to 0.96

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The Blue devils had won 37.5 games. they had played 24 games altogether. how may games had they won?
lubasha [3.4K]

The Blue Devils are trying to sell us a bridge and a bill of goods.
But we are sharp, and we are not falling for their story.

We are smart enough to spot two glaring weaknesses in their story.

1).  There is no way to win  .5  of a game.

2).  There is no way to win 37 games if you've
only played 24 so far.

4 0
3 years ago
Given f(x)=x^2+4x+7 .
ivolga24 [154]
The correct answer for this question is A. 
3 0
3 years ago
Kasey and Jordan are counting calories while eating lunch in the school cafeteria. In one week, Kasey had
malfutka [58]

Answer:

Jordan got 222 calories from pizza

Step-by-step explanation:

Given:

slices of pizza ate by Kasey =10

cups of fruit salad by Kasey=  5

slices of pizza ate by Jordan = 6

cups of fruit salad by Jordan=  7

Kasey's calorie  count = 3070

Jordan calorie  count = 2522

To Find:

calories Jordan got from pizza =?

Solution:

Let the calorie of one slice of pizza be  x

and the  calorie of one cup of fruit salad be  y

According to the question, the equation that represents the Kasey's Scenario is

10x + 5y = 3070-------------------------------------(1)

Similarly the equation that represents the Jordan Scenario is

6x + 7y = 2522--------------------------------------(2)

multiply eq(1) by 6 we get

60x + 30y = 18420---------------------------------(3)

multiply eq(2) by 10 we get,

60x + 70y = 25220----------------------------------(4)

Subtracting eq (3) from (4) we get

  60x + 70y = 25220

  60x + 30y = 18420

  (-)        (-)        (-)

-----------------------------------

 0x + 40y = 6800

---------------------------------

=>40 y = 6800

=>y = \frac{6800}{40}

=> y = 170

So calorie of one cup fruit salad is = 170 calories

substituting the y values in eq 1 we get

10x + 5(170) = 3070

10x + 850 = 3070

10x = 3070 - 850

10x = 2220

x = \frac{2220}{10}

x= 222

So calorie of one pizza slice = 222 calories

Now we know that  Jordan ate 6 slices of pizza

calories  Jordan get from pizza = number of pizza he ate  X calore per pizza slice

=> 6 x 222

=>1332 calories

6 0
3 years ago
How much of an alloy with 30% copper must be added to 25 pounds of a second alloy that is 20% copper to create a 27% alloy? 33.8
yuradex [85]

Answer:

58.33 lbs.

Step-by-step explanation:

There are already 25 lbs of alloy of copper

Of this 25 lbs, 20% is pure i.e. copper content = 25(0.5) = 5lbs.

Now available is

Copper      Other metals

5 lbs                20 lbs

Let x lb of 30% copper is added.

Then new alloy will have 5+0.3x lb copper in total of 25+x lbs

Percentage pure = \frac{5+0.3x}{25+x} =27%

Simplify to get

\frac{5+0.3x}{25+x} =\frac{27}{100} \\\\Cross multiply:\\27(25+x) =100(5+0.3x)\\500+30x =675 +27x\\3x = 175\\x = 175/3 = 58.33 lbs

Hence answer is 58.33 lbs should be added.



8 0
2 years ago
Read 2 more answers
A rectangle has vertices located at (–4, 4), (2, 4), (2, –4) and (–4, –4). What is the length of a diagonal of the rectangle?
Allisa [31]

Answer:

A diagonal of this rectangle has length 10.

Step-by-step explanation:

The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4).  These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.

Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4).  To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.

Thus, the width of the rectangle is 6 and the length is 8.

Using the Pythagorean Theorem, we find the length of a diagonal as follows:

d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.

A diagonal of this rectangle has length 10.

5 0
2 years ago
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