Answer:
58.1 cm
Step-by-step explanation:
The length of each support rod can be found using the Pythagorean theorem. The geometry can be modeled by a right triangle, such that the distance from centre is one leg and half the length of the rod is the other leg of a triangle with hypotenuse equal to the radius of the grill.
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<h3>Pythagorean theorem</h3>
The theorem tells us that the sum of the squares of the legs of a right triangle is the square of the hypotenuse. For legs a, b and hypotenuse c, this is ...
c² = a² +b²
<h3>application</h3>
For the geometry of the grill, we can define a=7.5 and c=30. Then b will be half the length of the support rod.
30² = 7.5 +b²
b² = 900 -56.25 = 843.75
b = √843.75 ≈ 29.0473
The length of each support rod is twice this value, so ...
rod length = 2b = 2(29.0473) = 58.0947
Each support rod is about 58.1 cm long.
If P=$10, MPL= $25 and APL=$ 40, then the value of marginal product of labor is $250
The marginal product of labor (MPL) is the change in output that results from employing an added unit of labor.
The average product of labor (APL) is the total product of labor divided by the number of units of labor employed.
Here,
P= $10
The marginal product of labor (MPL)= $25
The average product of labor (APL)= $40
The value of marginal product of labor= P × The marginal product of labor (MPL)
The value of marginal product of labor= 10×25=$250
Hence, If P=$10, MPL= $25 and APL=$ 40, then the value of marginal product of labor is $250
Learn more about the value of marginal product of labor here
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Given:
μ = 25 mpg, the population mean
σ = 2 mpg, the population standard deviation
If we select n samples for evaluation, we should calculate z-scores that are based on the standard error of the mean.
That is,
The random variable is x = 24 mpg.
Part (i): n = 1
σ/√n = 2
z = (24 -25)/2 = -0.5
From standard tables,
P(x < 24) = 0.3085
Part (ii): n = 4
σ/√n = 1
z = (24 -25)/1 = -1
P(x < 24) = 0.1587
Part (iii): n=16
σ/√n = 0.5
z = (24 - 25)/0.5 = -2
P(x < 24) = 0.0228
Explanation:
The larger the sample size, the smaller the standard deviation.
Therefore when n increases, we are getting a result which is closer to that of the true mean.
3/5x+9=-3
- 9 -9
-3 - 9 = -12
3/5x = -12
*5/3 *5/3
-12/1 * 5/3 = -60/3
-60/3 = - 20
Answer: x = -20
Answer:
Step-by-step explanation:
Slices made from 3 cakes = 48
Slices made from 1 cake = 48 ÷ 3 = 16
16 slices are made from 1 cake.
