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polet [3.4K]
3 years ago
11

in a certain normal distribution, 6.3% of the area lies to the left of 36 and 6.3% of the area lies to the right of 42. Find the

mean and the standard deviation ?
Mathematics
1 answer:
KATRIN_1 [288]3 years ago
5 0

As the normal distribution is symmetric the mean is (36 + 42) / 2 = 39

 

p(X < 42) = 1 - 0.063 = 0.937

 

From tables Φ (1.53) = 0.9370

 

From this time:

42 is 1.53 standard deviations above the mean

42 = 39 + 1.53s

1.53s = 3

 

Standard deviation is = 1.96

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I'm trying to find out the number of how much it cost to wrap each present, day one 41 small gifts were wrapped and 45 large wer
Licemer1 [7]

Answer:

Small gift: $2

Large gift: $7

Step-by-step explanation:

Let x represent cost of wrapping each small gift and y represent cost of wrapping each large gift.

We have been given that day one 41 small gifts were wrapped and 45 large were wrapped equaling $397.

We can represent this information in an equation as:

41x+45y=397...(1)

We are also told that day two 30 small gifts were wrapped and 47 large were wrapped equaling $389. We can represent this information in an equation as:

30x+47y=389...(2)  

From equation (1), we will get:

x=\frac{397-45y}{41}

Upon substituting this value in equation (2), we will get:

30(\frac{397-45y}{41})+47y=389

\frac{11910-1350y}{41}+\frac{47*41y}{41}=389

\frac{11910-1350y+1927y}{41}=389

\frac{11910+577y}{41}=389

\frac{11910+577y}{41}\cdot 41=389\cdot 41

11910+577y=15949

11910-11910+577y=15949-11910

577y=4039

\frac{577y}{577}=\frac{4039}{577}

y=7

Therefore, cost to wrap a large gift is $7.

Upon substituting y=7 in equation x=\frac{397-45y}{41}, we will get:

x=\frac{397-45(7)}{41}

x=\frac{397-315}{41}

x=\frac{82}{41}

x=2

Therefore, cost to wrap a small gift is $2.

8 0
3 years ago
Help ASAP<br>10 POINTS<br>find surface area and volume​
Arte-miy333 [17]
Cylinder (A):
-Surface area: adding all areas of all faces of the shape.

*10 x 6= 60m^3
*3.14 x 3^2 = 28.274 m^2. Then We times it by 2 since we have 2 circles. Which equals to 56.55m^2

Total surface area: 60 + 56.55 = 116.55m^2

-Volume: 3.14 x r^2 x h, then substitute.

*3.14 x 3^2 x 10 = 282.74m^3

(B):
-surface area:

*7 x 11= 77
*5 x 11 = 55
*11 x 11 = 121
*7 x 5 = 35/2 = 17.5 > then again we times it by 2 cuz we have 2 triangles. Which equals to 35.

Total surface area: 77 + 55 + 121 + 35 = 288 cm^2

-Volume:
*7 x 5 x 11 = 385 cm^3

Make sure to check the units!!!
Hope this helped :)
3 0
3 years ago
140°<br> 6x + 20<br> Solve for x
yan [13]

Answer:

140

Step-by-step explanation:

7 0
3 years ago
What is 68.797 rounded to the nearest hundredth
yarga [219]
68.80 because 7 is greater than 5
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3 years ago
)) Two tailors, Kristen and Layla, sit down to do some embroidery. Kristen can embroider 5
serious [3.7K]

Answer:

2 hours or less depending on how skilled or how they're felling that day

Step-by-step explanation:

4 0
3 years ago
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