A certain federal agency employs three consulting firms; A, B and C. The probability that the federal agency employs company A is .40, company B is .35 and company C is .25 respectively. From past experience it is known that the probability of cost overruns given the consulting firm is employed is.05 for company A, .03 for company B and .15 for company C. Suppose a cost overrun is experienced by an agency(a) What is the probability that the consulting firm involved is company
(b) What is the probability that it is company

Answers

Answer 1

Answer:

attached below

Step-by-step explanation:

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Find the percent change from a stock that was worth $230 and is now $287
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Please help!!!! i will mark the 1st person brainliest!
In a University of Wisconsin (UW) study about alcohol abuse among students, 100 of the 40,858 members of the student body in Madison were sampled and asked to complete a questionnaire. One question asked was, "On how many days in the past week did you consume at least one alcoholic drink?" a. Identify the population and the sample. b. For the 40,858 students at UW, one characteristic of interest was the percentage who would respond "zero" to this question. For the 100 students sampled, suppose 29% gave this response. Does this mean that 29% of the entire population of UW students would make this response? Explain.
The value z is directly proportional to c. When z = 20, c = 10. Find an equation relating z and c. *

(2x-8)times(3x-2) pls help

Answers

6x^2-28x+16 hope this helps

Answer:

6x^2-28x+16

Step-by-step explanation:

The quality control manager at a light bulb manufacturing company needs to estimate the mean life of the light bulbs produced at the factory. The life of the bulbs is known to be normally distributed with a standard deviation (sigma) of 80 hours. A random sample of 16 light bulbs indicated a sample mean life of 1000 hours. What is a 95% confidence interval estimate (CIE) of the true mean life (m) of light bulbs produced in this factory

Answers

Answer: (960.80,1039.20)

Step-by-step explanation:

Let X denotes a random variable that represents the life of the light bulbs produced at the factory.

As per given,

$\sigma=80\n\n n=16\n\n \overline{x}=1000$

Critical z-value for 95% confidence interval : z* = 1.96

Confidence interval for population mean:

$\overline{x}\pm z^*(\sigma)/(√(n))\n\n =1000\pm (1.96)(80)/(√(16))\n\n=1000\pm 1.96*(80)/(4)\n\n=1000\pm 1.96*20\n\n=1000\pm39.2\n\n=(1000-39.2,\ 1000+39.2)\n\n=(960.80,1039.20)$

So, a 95% confidence interval estimate (CIE) of the true mean life (m) of light bulbs produced in this factory = (960.80,1039.20)

1. Line L passes through point (-1, 2) and (-3,-2) on a coordinate plane. LineM passes through the points (1.1) and (-1, W). For what value of W will make
line L and line M parallel.

Answers

Answer:

Slope of a line passing through ( $x_(1)$ , $y_(1)$ ) and ( $x_(2) , y_(2)$ ) is given by:

$(y_(2)-y_(1) )/(x_(2)-x_(1))$

Now,

Slope of line L, (m) = $(-3-(-1))/(-2-2)$ = 0.5

Slope of line M, (n) = $(-1-1)/(W-1)$ = $(-2)/(W-1)$

If the lines L and M are parallel to each other,

m = n

or, 0.5 = $(-2)/(W-1)$

or, 0.5 (W - 1) = -2

or, W - 1 = -4

or, W = -3

Therefore the required value of W is -3.

How many times does 36 go into 180

Answers

It would be 5. Hope this helps. :)

the answer is 5 hoped that helped

A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. An industrial tank of this shape must have a volume of 4640 cubic feet. The hemispherical ends cost twice as much per square foot of surface area as the sides. Find the dimensions that will minimize the cost. (Round your answers to three decimal places.)

Answers

The dimensions that minimize the cost of building the tank are $r\approx 6.5ft \text{ and } h \approx 26.0ft$ .

Let

$h=\text{the height of the cylindrical sides}\nr=\text{the radius of the hemispheres and the cylindrical sides}$

and

$T=\text{the total cost}\nu_c=\text{the unit cost of building the cylindrical sides}\nu_h=\text{the unit cost of building the hemispherical surfaces}$

and

$S_c=\text{the surface area of the cylinder}\n=2\pi rh\n\nS_h=\text{the total surface area of both hemispheres}\n=4\pi r^2$

Therefore,

$T=u_cSc+u_hSh$

From the question

$u_h=2u_c$

The total cost becomes

$T=u_cSc+2u_cSh\n=2u_c \pi rh+8u_c \pi r^2$

We need to eliminate $h$ . The volume from the question gives a way out

$4640=(4)/(3)\pi r^3 +\pi r^2h\n\nh=(4640)/(\pi r^2)-(4r)/(3)$

substitute into the formula for total cost gives, after simplifying

$T=(16u_c\pi r^2)/(3)+(9280u_c)/(r^2)$

differentiating with respect to $r$ , we get

$(dT)/(dr)=(32)/(3)u_c\pi r-(9280u_c)/(r^2)$

at extrema

$(dT)/(dr)=0\n\n\implies (32)/(3)u_c\pi r=(9280u_c)/(r^2)\n\nr=\sqrt[3]{(870)/(\pi)}\approx 6.5ft$

To confirm that $r$ is a minimum value, carry out the second derivative test

$(d^2T)/(dr^2)=(32u_c\pi)/(3)+(18560)/(r^3)$

substituting $r=\sqrt[3]{(870)/(\pi)}$ , we get that $(d^2T)/(dr^2)$ > $0$ , confirming that minimum value

To find $h$ , recall that

$h=(4640)/(\pi r^2)-(4r)/(3)$

substituting $r$ , we get $h\approx 26.0ft$ as the corresponding minimum height

Therefore, $r\approx 6.5ft \text{ and } h \approx 26.0ft$ minimize the total cost of building the tank.

Learn more about minimizing dimensions to reduce costs here: brainly.com/question/19053049

Final answer:

The problem involves finding the dimensions of a cylinder and two hemispheres that minimize the cost to build an industrial tank of a specific volume. This involves setting up equations for the volume and cost, and then using calculus to find the dimensions that minimize the cost.

Explanation:

This problem can be solved using calculus. Let's denote the radius of both the hemispheres and the cylinder as r and the height of the cylinder as h. The total volume of the solid is the sum of the volume of the cylinder and the two hemispheres. Using the formulas for the volumes of a cylinder and hemisphere, we have:

V = (πr²h) + 2*(2/3πr³) = 4640 cubic feet.

The total cost of the material is proportional to the surface area. The surface area of the two hemispheres is twice as expensive as that of the sides of the cylinder, so we have:

Cost = 2*(2πr²) + πrh.

To minimize the cost, we can take the derivative of the Cost function with respect to r and h, set them equal to zero, and solve for r and h.

This problem involves calculus, the volume of cylinders and spheres, and optimization, which are topics covered in high school mathematics.

Learn more about Mathematics Optimization Problems here:

brainly.com/question/32199704

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The graph of the function f(x) = x^2 will be translated 3 units up and 1 unit left. What is the resulting function g(x)?

Answers

Answer: g(x) = (x + 1)² + 3

Step-by-step explanation:

The vertex form of a quadratic equation is: y = a(x - h)² + k where

"a" is the vertical stretch
-a is a reflection over the x-axis
h is the horizontal shift (positive = right, negative = left)
k is the vertical shift (positive = up, negative = down)

f(x) = x²

Given: 3 units up --> k = 3

1 unit left --> h = -1

g(x) = (x + 1)² + 3

The translation of the graph of a function is one where the graph is moved to a different location on the plane that does not include a change in shape or rotation

The resulting function from the translation of the function f(x) = x², 3 units up and 1 unit left, g(x) = x² + 2·x + 4

The process by which the above value for g(x) is found is presented as follows:

The given function f(x) = x²

The vertical translation given to the function = 3 units up

The horizontal translation given to the function = 1 unit left

The required parameter;

To find the resulting function g(x) that has results from the given translations

Solution:

A translation of a function y = f(x) vertically,k units upwards is the function y = f(x) + k

A translation of a function y = f(x) horizontally, k, units left, is the function y = f(x + k)

Therefore, we get

g(x) = f(x + 1) + 3 = (x + 1)² + 3 = x² + 2·x + 4

g(x) = x² + 2·x + 4

Learn more about translation of functions here:

brainly.com/question/17435785

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