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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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solniwko [45]
Scale factor shows by how much the original model has been multiplied or divided by to get the measurements of the drawing .
In this case the ladybug is 8 mm long but drawing length is 2 cm.
Let’s convert both into the same units
2 cm -20 mm
Original - 8 mm
Painting -20mm
X - scale factor
20 = X * 8
X = 20/8 = 2.5
The ladybug has been multiplied/ enlarged by a scale factor of 2.5 to draw the painting
6 0
4 years ago
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a rectangular room is 2meters longer than it is wide, and it's perimeter is 24 meters. find the dimension of the room​
asambeis [7]

2l + 2(l+2)=24 \\2l +2l+4=24 \\4l=20 \\\boxed{l=5}

Length of the room is 5 m and width is 5 + 2 = 7 m.

Hope this helps.

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4 years ago
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To travel from New York to Philadelphia at 50 mph, it takes 20 more minutes than to travel the same distance at 60 mph. Find the
Lana71 [14]

Answer:the distance between the two cities is 100 miles

Step-by-step explanation:

Let x represent the distance between New York and Philadelphia.

Let t represent the time it takes to travel from New York to Philadelphia at 50 mph

Distance speed × time

time = distance/speed

To travel from New York to Philadelphia at 50 mph,

x = 50t

it takes 20 more minutes than to travel the same distance at 60 mph. Converting 20 minutes to hours, it becomes 20/60 = 1/3 hours. This means that

x = 60(t - 1/3) = 60t - 20

Since the distance is the same,

60t - 20 = 50t.

60t - 50t = 20

10t = 20

t = 20/10 = 2

Therefore

x = 50t = 50 × 2 = 100 miles

8 0
4 years ago
What is the sum of 2×x+4+2×x
Airida [17]
It would be: 2 × x + 4 + 2× x
= 2x + 4 + 2x
= 4x + 4

In short, Your Final Answer is 4x+4

Hope this helps!
6 0
3 years ago
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what is the volume of this box if the volume is scaled down to 1/10? the original volume is 528 and the length is 11 inches the
ankoles [38]

Answer:

Step-by-step explanation:

I assume the box is a rectangular figure

Volume, V=L*W*H

V=11*8*6=528 in^3

528*1/10=52.8 in^3

4 0
3 years ago
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