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LenaWriter
7 days ago
8

A regulation hockey puck must weigh between 5.5 and 6 ounces. The weights X of pucks made by a particular process are normally d

istributed with mean 5.75 ounces and standard deviation 0.11 ounce. Find the probability that a puck made by this process will meet the weight standard.
Mathematics
1 answer:
PIT_PIT [9.1K]7 days ago
6 0
By doing the necessary calculations, we can derive this probability through the following method: Step-by-step explanation: Let X be the random variable indicating the weights of a certain population; in this case, it follows a distribution described as: We are interested in determining this probability and can employ the z-score formula to achieve that.
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Lesson 3 homework practice mean absolute deviation
AnnZ [9099]
To calculate the mean absolute deviation of
1,2,3,4,5,6,7
, we start by finding the mean;
 (1+2+3+4+5+6+7) =28/7
                               = 4
. Next, we determine the absolute differences of each data point from the mean (x-μ)
 = -3,-2,-1,0,1,2,3
. The absolute values are 3,2,1,0,1,2,3
. Now we compute the mean of these absolute differences,
3+2+1+0+1+2+3 = 12
                           = 12/7
                           = 1.7143
. Thus, the mean is 4, and the Mean absolute deviation comes out to be 1.7143
4 0
14 days ago
Jason solved the following equation to find the value for x. –8.5x – 3.5x = –78 x = 6.5 Describe how Jason can check his answer.
Inessa [8997]
Jason can confirm the accuracy of his solution by substituting the calculated x value back into the original equation to check if it holds true. If the equality fails, it indicates that his calculated x is incorrect.
5 0
26 days ago
Read 3 more answers
Twelve of the 20 students in Mr. Skinner’s class brought lunch from home. Fourteen of the 21 students in Ms. Cho’s class brought
Svet_ta [9496]

Solution:

In Mr. Skinner's class, the count of students bringing lunch from home is 12 out of 20.

Fraction of students who brought lunch from home in Mr. Skinner's class=\frac{12}{20}=\frac{3}{5}

For Ms. Cho's class, the number who brought lunch from home is 14 out of 21.

Fraction of students who brought lunch from home in Ms. Cho's class=\frac{14}{21}=\frac{2}{3}

Siloni is utilizing two spinners with 15 equal sections to randomly select students from the classes and predict whether they brought lunch or will purchase it from the cafeteria.

Number of Equal sections in each Spinner=15

To visualize the students from Mr. Skinner's class who brought lunch using a Spinner with 15 equal sections =\frac{9}{15}

For Ms. Cho's class, using a Spinner with 15 equal sections =\frac{10}{15}

Mr. Skinner's Class +1 = Ms. Cho's Class

This means that the spinner for Ms. Cho's class will include one additional section representing students who brought lunch.

Option A signifies that one additional section on Mr. Skinner's spinner represents students who brought lunch, reflecting Ms. Cho's class.

9 0
26 days ago
Read 2 more answers
The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. Which graph represents g(x)?
Leona [9267]
<span>The graph will shift 5 units to the right and 1 unit upwards, forming a parabola that opens up with its vertex positioned at (5, 1).

Explanation:
The subtraction of 5 from x prior to squaring indicates a horizontal movement of 5 units to the right.

The addition of 1 signifies a vertical shift of 1 unit up.

This transformation follows the vertex form of a parabola, y=a(x-h)^2 + k, where (h, k) represents the vertex. In this case, h is 5 and k is 1, placing the vertex at (5, 1).</span>
6 0
26 days ago
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By selling a school blazer for Rs 1215, the shopkeeper earns a profit of 8%. Find
Svet_ta [9496]

Detailed explanation:

Thus,

100% plus 8% equals 108%

108% equals 1215

1% corresponds to 11.25

Therefore, 100% amounts to 1125 rs

4 0
23 days ago
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