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kumpel [21]
3 years ago
6

Cassidy is using six different pontominoes to make a rectangle

Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0

Answer:

D

Step-by-step explanation:

D

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Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation o
hjlf

Answer:

46.18% of the items will weigh between 6.4 and 8.9 ounces.

Step-by-step explanation:

We are given that the weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces.

<em>Let X =  weight of items produced by a machine</em>

The z-score probability distribution for is given by;

                Z = \frac{  X -\mu}{\sigma}  ~ N(0,1)

where, \mu = mean weight = 8 ounces

            \sigma = standard deviation = 2 ounces

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, percentage of items that will weigh between 6.4 and 8.9 ounces is given by = P(6.4 < X < 8.9) = P(X < 8.9 ounces) - P(X \leq 6.4 ounces)

   P(X < 8.9) = P( \frac{  X -\mu}{\sigma} < \frac{  8.9-8}{2} ) = P(Z < 0.45) = 0.67364  {using z table}

   P(X \leq 70) = P( \frac{  X -\mu}{\sigma} \leq \frac{  6.4-8}{2} ) = P(Z \leq -0.80) = 1 - P(Z < 0.80)

                                                 = 1 - 0.78814 = 0.21186

<em>Now, in the z table the P(Z </em>\leq<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.45 and x = 0.80 in the z table which has an area of </em>0.67364<em> and </em>0.78814<em> respectively.</em>

Therefore, P(6.4 < X < 8.9) = 0.67364 - 0.21186 = 0.4618 or 46.18%

<em>Hence, 46.18% of the items will weigh between 6.4 and 8.9 ounces.</em>

8 0
3 years ago
Hiiiooo! Can someone please help me if you can’t see the picture I will gladly explain it in the comments!
Neporo4naja [7]

Answer:

b

Step-by-step explanation:

6 0
3 years ago
What is slope? Provide two examples of realistic situations where slope manifests itself. In each example make sure to state wha
erastovalidia [21]

Answer:

1. A slope is a surface of which one end or side is at a higher level than another; a rising or falling surface.

"he slithered helplessly down the slope"

Some real life examples of slope include: in building roads one must figure out how steep the road will be. skiers/snowboarders need to consider the slopes of hills in order to judge the dangers, speeds, etc. when constructing wheelchair ramps, slope is a major consideration.

8 0
3 years ago
Match each function formula with the corresponding transformation of the parent function y = 3x
kodGreya [7K]

Answer:

1. y = -3^ x Translated up by 1 unit 2.

2.y = 3^ -x Reflected over the y-axis 3.

3.y = 3 ^x - 2 Translated right by 2 units 4.

4. y = 3 ^x + 1 Translated down by 2 units 5.

5. y = 3^ x + 1 Translated left by 1 unit 6.

6. y = 3 ^x - 2 Reflected over the x-axis

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A theater sells adult tickets and student tickets. A total of 165 tickets are sold and the ratio of adult tickets sold to studen
Dmitry [639]

Answer:

88 adult tickets and 77 student tickets were sold.

Step-by-step explanation:

Let the number of adult tickets sold be 8x and the number of student tickets sold be 7x.

adult tickets + student tickets = 165 tickets

8x + 7x = 165

15x = 165

x = 165 ÷ 15

  = 11

No. of adult tickets sold (8x) = 11 × 8

                                               = 88

No. of student tickets sold (7x) = 11 × 7

                                                   = 77

5 0
2 years ago
Read 2 more answers
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