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svet-max [94.6K]
3 years ago
13

END OF GRADING CYCLE AND SO MANY MISSING ASSIGNMENTS PLEASE HELP

Mathematics
1 answer:
trapecia [35]3 years ago
8 0

Answer:

37 ft

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

12^2 + 35^2 = ?^2

144 +1225 = ?^2

1369 = ?^2

Take the square root of each side

sqrt(1369) = sqrt(?^2)

37 = ?

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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 46 o
meriva

Answer:

(a) 68% of the widget weights lie between <u>43 ounces</u> and <u>49 ounces</u>.

(b) The percentage of the widget weights lie between 43 and 87 ounces is 15.87%.

(c) The percentage of the widget weights lie below 76 is 100%.

Step-by-step explanation:

Let <em>X</em> = weight of widgets manufactured by Acme Company.

The distribution of the random variable <em>X</em> is, N (<em>μ </em>= 46, <em>σ</em>²<em> </em>=<em> </em>3²).

According to the Empirical Rule in a normal distribution with mean <em>µ</em> and standard deviation <em>σ</em>, nearly all the data will fall within 3 standard deviations of the mean. The empirical rule can be broken into three parts:

  • 68% data falls within 1 standard deviation of the mean.                       That is P (µ - σ ≤ X ≤ µ + σ) = 0.68.
  • 95% data falls within 2 standard deviations of the mean.                   That is P (µ - 2σ ≤ X ≤ µ + 2σ) = 0.95.
  • 99.7% data falls within 3 standard deviations of the mean.                   That is P (µ - 3σ ≤ X ≤ µ + 3σ) = 0.997.

(a)

According to the Empirical rule, 68% data falls within 1 standard deviation of the mean.

P (µ - σ ≤ X ≤ µ + σ) = 0.68.

Compute the upper and lower values as follows:

<em>µ</em> - <em>σ</em> = 46 - 3 = 43 ounces

<em>µ</em> + <em>σ</em> = 46 + 3 = 49 ounces

Thus, 68% of the widget weights lie between <u>43 ounces</u> and <u>49 ounces</u>.

(b)

Compute the probability of the widget weights lie between 43 and 87 ounces as follows:

P(43

                          =P(-1

*Use a <em>z</em>-table.

The percentage is, 0.1587 × 100 = 15.87%.

Thus, the percentage of the widget weights lie between 43 and 87 ounces is 15.87%.

(c)

Compute the probability of the widget weights lie below 76 as follows:

P(X

                  =P(Z

*Use a <em>z</em>-table.

The percentage is, 1 × 100 = 100%.

Thus, the percentage of the widget weights lie below 76 is 100%.

8 0
3 years ago
What is the area of a rectangle with a length of 3 cm and width of 4.5 cm
____ [38]
13.5 because 4.5 times 3 is 13.5

3 0
3 years ago
if you could JUST TELL ME HOW TO SOLVE IT that would be great. Or you could send a pic of your paper. thanks
fgiga [73]
Lets p = salesman's commission as percent
15,200 * p = 912
p = 912/ 15,200
p = 0.06
p = 6%

answer
6%
3 0
3 years ago
50 points and brainliest to correct answer
Bumek [7]

Answer:

Its below!

Step-by-step explanation:

a=l*w

9=(3+x) (2+x)

9=6+3x+2x+x^2

9=6+5x+x^2

3=5x+x^2

Hope this helps!! :)

5 0
3 years ago
Derrick really wants to earn at least $330 at the Bike Shop. He earns $150 per week plus $15.50 for each bicycle that he assembl
MA_775_DIABLO [31]

Answer: He will need to assemble 12 bikes, because 12 x 15.50 = $186 and $186 + 150 = $336

Step-by-step explanation: Don't need one :)) it's basic math

8 0
3 years ago
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