PLEASE HELP! all u have to do is determine if it is positive or negative!

A consulting firm submitted a bid for a large research project. The firm’s management

amid [387]

Answer:

(a) 0.50

(b) 0.75

(c) 0.6522

Step-by-step explanation:

We are given that the firm’s management initially had a 50–50 chance of getting the project.

Let Probability of getting a project or bid being successful, P(S) = 0.50

Probability of not getting a project or bid being unsuccessful, P(US) = 1 - 0.50 = 0.50

Also, Past experience indicates that for 75% of the successful bids and 40% of the unsuccessful bids the agency requested additional information which means;

Let event R = agency requested additional information

So, Probability that the agency requested additional information given the bid was successful, P(R/S) = 0.75

Probability that the agency requested additional information given the bid was unsuccessful, P(R/US) = 0.40

(a) Prior probability of the bid being successful = Probability of getting a project or bid being successful = $\frac{50}{100}$ = 0.50

(b) The conditional probability of a request for additional information given that the bid will ultimately be successful = P(R/S) = 0.75

(c) The posterior probability that the bid will be successful given a request for additional information is given by P(S/R) ;

Using Bayes' Theorem for this we get;

P(S/R) = $\frac{P(S) * P(R/S)}{P(S)*P(R/S) + P(US) * P(R/US)}$ = $\frac{0.50 * 0.75}{0.50*0.75 + 0.50*0.40}$ = 0.6522 .

6 0

3 years ago

I need help please ❤️❤️❤️❤️❤️

postnew [5]

Answer:

m1=51

m2=18

m3=123

m4=39

Step-by-step explanation:

6 0

3 years ago

The area of a rectangle with a width of 3 units and a height of 4 units is 12 square units

Ivan

Answer: True

I believe

Step-by-step explanation:

you multiply 3x4=12

8 0

3 years ago

-3 1/6 divide by (-2 1/3)

marshall27 [118]

Answer:

1 5/14

Step-by-step explanation:

-3 1/6 / -2 1/3

-3 1/6 = -19/6

-2 1/3 = -7/3

-19/6 / -7/3 = -19/6 x -3/7

-19 x -3 = 57

-6 x -7 = 42

57/42 = 1 5/14

6 0

3 years ago

Area of the bounded curves y=x^2, y=√(7+x)

N76 [4]

Answer:

$\displaystyle \int\limits^{1.718}_{-1.529} {\sqrt{7 + x} - x^2} \, dx = 5.74773$

General Formulas and Concepts:

Calculus

Differentiation

Derivatives
Derivative Notation

Derivative Property [Addition/Subtraction]: $\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)]$

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Integration

Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

U-Substitution

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

Step 1: Define

$\displaystyle \left \{ {{y = x^2} \atop {y = \sqrt{7 + x}}} \right.$

Step 2: Identify

Graph the systems of equations - see attachment.

Top Function: $\displaystyle y = \sqrt{7 + x}$

Bottom Function: $\displaystyle y = x^2$

Bounds of Integration: [-1.529, 1.718]

Step 3: Integrate Pt. 1

Substitute in variables [Area of a Region Formula]: $\displaystyle \int\limits^{1.718}_{-1.529} {\sqrt{7 + x} - x^2} \, dx$
[Integral] Rewrite [Integration Property - Addition/Subtraction]: $\displaystyle \int\limits^{1.718}_{-1.529} {\sqrt{7 + x} - x^2} \, dx= \int\limits^{1.718}_{-1.529} {\sqrt{7 + x}} \, dx - \int\limits^{1.718}_{-1.529} {x^2} \, dx$
[Right Integral] Integration Rule [Reverse Power Rule]: $\displaystyle \int\limits^{1.718}_{-1.529} {\sqrt{7 + x} - x^2} \, dx= \int\limits^{1.718}_{-1.529} {\sqrt{7 + x}} \, dx - \frac{x^3}{3} \bigg| \limits^{1.718}_{-1.529}$
Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^{1.718}_{-1.529} {\sqrt{7 + x} - x^2} \, dx= \int\limits^{1.718}_{-1.529} {\sqrt{7 + x}} \, dx - 2.88176$

Step 4: Integrate Pt. 2

Identify variables for u-substitution.

Set u: $\displaystyle u = 7 + x$
[u] Basic Power Rule [Derivative Rule - Addition/Subtraction]: $\displaystyle du = dx$
[Limits] Switch: $\displaystyle \left \{ {{x = 1.718 ,\ u = 7 + 1.718 = 8.718} \atop {x = -1.529 ,\ u = 7 - 1.529 = 5.471}} \right.$

Step 5: Integrate Pt. 3

[Integral] U-Substitution: $\displaystyle \int\limits^{1.718}_{-1.529} {\sqrt{7 + x} - x^2} \, dx= \int\limits^{8.718}_{5.471} {\sqrt{u}} \, du - 2.88176$
[Integral] Integration Rule [Reverse Power Rule]: $\displaystyle \int\limits^{1.718}_{-1.529} {\sqrt{7 + x} - x^2} \, dx = \frac{2x^\Big{\frac{3}{2}}}{3} \bigg| \limits^{8.718}_{5.471} - 2.88176$
Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^{1.718}_{-1.529} {\sqrt{7 + x} - x^2} \, dx = 8.62949 - 2.88176$
Simplify: $\displaystyle \int\limits^{1.718}_{-1.529} {\sqrt{7 + x} - x^2} \, dx = 5.74773$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

5 0

3 years ago