Please help ! Order the following from least to greatest

Answer:

4. Probability of being promoted given the officer is a man = 0.3

5. Probability of a promotion given that the officer is a woman = 0.15

Note: The data table is found in the attachment below

Step-by-step explanation:

Probability = number of required outcomes/ number of possible outcomes

4. Probability of being promoted given the officer is a man

Probability of being promoted given the officer is a man = number of men promoted/total number of men

From the table, total number of men = 960

number of men promoted = 288

Probability of being promoted given the officer is a man = 288/960 = 0.3

5.  Probability of a promotion given that the officer is a woman

Probability of a promotion given that the officer is a woman = number of women promoted/total number of women

From the table, total number of women = 240

number of women promoted = 36

Probability of a promotion given that the officer is a woman = 36/240 = 0.15

Answer:

The measure of angle F is 78°.

Answer:

10 min.

Step-by-step explanation:

Answer:

6 minutes

Step-by-step explanation:

[tex]the \: points \: are: \\ (−1, \: 0) \\ (1, \: 2) \\ (4, \: 2)

\\

Step-by-step \: explanation: \\ \\

f(x) = x + 1 \: ....if \: x < 0 : \iff \: ( - 1, \: 0) \\ if \: x = - 1 \: then \: y = 0\\ \\ f(x) = 2 \: ....if \: 0 . \leqslant x \leqslant 1 :\: \iff( 1, \: 2) \\if \: x = 1\: then \: y = 2. \\ \\ f(x) = x\: ....if \: x > 1 : \: \iff( 2, \: 2) \\ if \: x=2 \: then \: y=x=2.[/tex]

♨Rage♨

Answer:

I think the answer is 25.

Step-by-step explanation:

All you need to do is add up all the numbers

Answer:

you need help kd

Step-by-step explanation:

Answer:

Step-by-step explanation:

dimension

base=x, height =y, as they both are length so x, y >0

Volume of the crate= [tex]x^2y[/tex] = [tex]16ft^3[/tex]

cost

base=b unit money /[tex]ft^2[/tex]

side material = b/2 unit money /[tex]ft^2[/tex]

Top view= b/4 unit money /[tex]ft^2[/tex]

Total Cost=[tex]bx^2 + \frac{b}{2} *4xy + \frac{b}{4} *x^2[/tex] = [tex]2b( \frac{5}{8} *x^2 + xy)[/tex]

function to be minimized  = [tex]\frac{5}{8}*x^2 + xy\\[/tex]  , [tex]x^2y =16[/tex]

put [tex]y=16/x^2[/tex]

f(x) = [tex]\frac{5}{8}*x^2 + x*\frac{16}{x^2}[/tex]

upon differentiating this equation

f'(x)=0

[tex]\frac{5}{4}*x -16x^-2 = 0[/tex]

upon solving this we get [tex]x=4/\sqrt[3]{5}[/tex] [tex]y= \sqrt[3]{25}[/tex]

and further testing we get f"([tex]\frac{4}{\sqrt[3]{5} }[/tex]) >0 which proves that the point is local minimum.

Hence these are the dimensions of crate that minimizes the cost of material.

The dimensions that minimize the total cost of making the surface materials are [tex]2.3ft \text{ by } 2.3ft \text{ by }2.9ft[/tex]

[tex]T=\text{Total cost of materials}\\m_b=\text{unit cost of materials used to construct the base}\\m_t=\text{unit cost of materials used to construct the top}\\m_s=\text{unit cost of materials used to construct the sides}[/tex]

from the question, the crate has a square base and the volume is [tex]16ft^3[/tex]. So,

[tex]V=l^2h=16\\\implies h=\frac{16}{l^2}[/tex]

Also,

[tex]m_b=2m_s\\m_t=\frac{m_s}{2}[/tex]

Construct the formula for [tex]T[/tex],

[tex]T=l^2\times m_b + l^2 \times m_t+4lh\times m_s[/tex]

[tex]\text{where } l=\text{length of side of base/top}\\h=\text{height}[/tex]

Eliminating [tex]h, m_b, \text{ and }m_t[/tex], we have

[tex]T=m_s(\frac{5l^2}{2} + \frac{64}{l})[/tex]

differentiating wrt [tex]l[/tex] ([tex]m_s[/tex] is a constant), we have

[tex]\frac{dT}{dl}=m_s(5l-\frac{64}{l^2})[/tex]

The minimum total cost occurs when

[tex]m_s(5l-\frac{64}{l^2})=0[/tex]

or, when

[tex]l=\frac{4}{\sqrt[3]{5}} \approx 2.3[/tex]

(On carrying out the second derivative test, [tex]\frac{d^2T}{dl^2}>0[/tex] when [tex]l=\frac{4}{\sqrt[3]{5}}[/tex])

[tex]h=\frac{16}{l^2}=\sqrt[3]{5}^2\approx 2.9[/tex]

Therefore, the dimensions that minimize the total cost of making the surface materials are [tex]2.3ft \text{ by } 2.3ft \text{ by }2.9ft[/tex]

Another solved minimization problem can be found in the link: https://brainly.com/question/17116786

Answer:

18 days

Step-by-step explanation:

2 1/3 just 7/3. Next, divide 42 by 7/3 which is just 42/1 times 3/7 which gives you 18.

Step-by-step explanation:

let, the age of Jonathan be X and Paolo be X+5,

then,

x+x+5=45

2x=40

x=20

: Therefore the age of Jonathan is 20 and Paolo is 20+5=25.

If Johnathan is 5 years younger than his brother Paolo. The sum of the brothers ages is 47. Then Johnathan is 21 years old.

Two or more expressions with an Equal sign is called as Equation.

Given,

The sum of the brothers ages is 47.

Let the age of Paolo is x

Johnathan is 5 years younger than his brother Paolo

Johnathan age=x-5

As given, sum of the brothers ages is 47.

x+x-5=47

2x-5=47

2x=47+5

2x=52

Divide both sides by 2

x=26

So the age of Paolo is 26 and Jaohnathan age is 26-5=21 years.

Hence Johnathan is 21 years old.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

the second bubble, [tex]\frac{1}{6^{2} }[/tex]

Step-by-step explanation:

[tex]6^{-2}[/tex] = [tex]\frac{1}{6^{2} }[/tex]

Answer:

1/6^2

the second one

Step-by-step explanation:

1. replace a with 6:

 6^-2  6 to the power of negative two

2. solve;

when you have something to the power of a negative number, it gets smaller, so think: what is 6^2? (six to the power of two) That is 36. As a fraction, that would be 36/1. Since the 2 is negative, flip it to get 1/36.

1/6^2 and 1/36 are equal since 6^2 = 36

Hope this helps :)

Answer:

y=25x+55. $55 is a one-time fee while the $25 is per hour

Answer:

its 0.05

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

I’m joking it actually 5

Answer:

5....?

Step-by-step explanation:

Answer:

a = (u-2b)/6

Step-by-step explanation:

First get a by itself by subtracting 2b from both sides:

u-2b = 6a

Then isolate the variable by dividing both sides by six:

(u-2b)/6 =a

Answer:

see below

Step-by-step explanation:

Variables:

  Associate:  a

  Partner:  p

Equations:

  400a + 1000p = 8800

  a + p = 13

Solve:

  a + p = 13

  a = 13 - p

  400a + 1000p = 8800    

  400(13 - p) + 1000p = 8800

  5200 - 400p + 1000p = 8800

  5200 + 600p = 8800

  5200 + 600p = 8800

  600p = 3600

   p = 6 partners

  a = 13 - p

  a = 13 - 6

  a = 7 associates

The required number of associates is 7 and the number of partners is 6.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
Let the number of associated be x and the number of partners is y,
According to the question, x + y = 13
x = 13 - y    - - - -- - - - - (1)
400x + 1000y = 8800   - - - - - - - - - -- (2)
From equation 1
400 (13 - y) + 1000y = 8800
4(13 - y) + 10y = 88
52 - 4y  + 10y = 88
6y = 88 - 52
6y = 36
y = 6
Now, from equation 1
x = 13 - 6
x = 7

Thus, the required number of associates is 7 and the number of partners is 6.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

A function f (x) and g (x) then:

(f + g) (x) = x² - x + 6

Further explanation

Like the number operations we do in real numbers, operations such as addition, installation, division or multiplication can also be done on two functions.

Suppose a function f (x) and g (x) then:

(f + g) (x) = f (x) + g (x)

(f + g) (x) is a new function of the sum of f (x) and g (x)

Likewise with other function operations:

(f-g) (x) = f (x) - g (x)

(fg) (x) = f (x) x g (x)

(f / g) (x) = f (x) / g (x)

In addition to the above operations we can combine two functions using the function composition with the symbol o

(fog) (x) = f ((g (x))

Known on the question

f (x) = x² + 1

g (x) = 5 x

Summing the two functions f (x) and g (x):

(f + g) (x) = f (x) + g (x)

(f + g) (x) = x² + 1 + 5 - x

(f + g) (x) = x² - x + 6

The solution of the expression is (55z + 6 ) / 20.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.

Given that the expression is 3/4(z+2/5)+2z. The expression will be solved as below,

E = 3/4(z+2/5)+2z

E = 3/4( z + 2 / 5 ) + 2z

E = 3/4 ( 5z + 2) / 5 + 2z

E = ( 15z + 6 + 40z ) /20

E = (55z + 6 ) / 20

Therefore, the solution of the expression is (55z + 6 ) / 20.

To know more about an expression follow

https://brainly.com/question/403926

#SPJ2

Answer:

The answer is below

Step-by-step explanation:

Let us assume the angle is -π/4.

Coterminal angles are angles that have the same initial side and terminal side. They are angles in standard position (angles with the initial side on the positive x -axis) that have a common terminal side.

Positive coterminal angles are gotten by adding 360° if the angle is in degrees or 2π for angles in radian while negative coterminal angles are gotten by subtracting 360° if the angle is in degrees or 2π for angles in radian.

Positive coterminal angle = -π/4 + 2π = 7π/4, 7π/4 + 2π = 15π/4

Positive coterminal angle = 7π/4, 15π/4

Negative coterminal angle = -π/4 - 2π = -9π/4, -9π/4 - 2π = -17π/4

Negative coterminal angle = -9π/4, -17π/4

Answer:

y=-3/4+7

Step-by-step explanation:

slope formula is y2-y1 over x2-x1

4-7/4-0=

-3/4

and line intercepts at 7

Answer:

B: Without a physical signature, they can be very difficult to enforce

Step-by-step explanation:

Edge 12/7/2020

Generally, verbal contracts are often discouraged because: B. it is difficult to enforce without a physical signature.

verbal contract, which can also be referred to as a parol contact, is a contract that is expressed by just words of promise or historically, and can be recognized by the courts.

However, unlike written contracts that a signature must be appended to, verbal contract are generally discouraged because: B. it is difficult to enforce without a physical signature.

Learn more about verbal contract on:

https://brainly.com/question/21517071

#SPJ2

Answer:

P(x≤14) = 0.556

Step-by-step explanation:

Given:

Probability of throwing a strike (p) = 0.487

Total number of throw (n) = 29

Find:

Probability that no more than 14 of them are strikes P(x≤14)

Computation:

Mean(np) = (29)(0.487)

Mean(np) = 14.123

Standard deviation = √[mean( 1- p)]

Standard deviation = √[14.123( 1 - 0.487)]

Standard deviation = 2.6917  (Approx)

P(X < x) = P[(Z < (x - mean)]/[Standard deviation])

P(x≤14) = P(Z < (14.5 - 14.123) / 2.6917 )

P(x≤14) = 0.556

Answer:

All real numbers are solutions

Step-by-step explanation:

10(x + 1/2) = 3x + 5 + 7x

~Distribute left side

10x + 5 = 3x + 5 + 7x

~Combine like terms

10x + 5 = 10x + 5

~Subtract 5 to both sides

10x = 10x

~Divide 10 to both sides

x = x

~Subtract x to both sides

0 = 0

Best of Luck!

Answer:12 2/24

If this helped please leave a brainliest it would really help out!

Answer:

AB=33, x=6.75

Step-by-step explanation:

In order to solve this equation, draw a line with three points labeled A, B, and C. Then fill out what you know with the given information being AB=4x+6 and BC=72+15, then AC=120. then follow these steps:

Now that we know that x=6.75, follow these steps:

I hope this helps!!!

Answer:

730.3

Step-by-step explanation:

hope this helps.

Answer: C because she went back to im just trying to help the team out

Answer:

(C) wanda converted the percent to a decimal incorrectly. it should be 0.73.

I answer (C) and it was correct.

Step-by-step explanation:

Give the other person brainliest ↑↑

                                                    hope it helps

Answer:

Var(z)= 8.122 if Z= z1+z2

Step-by-step explanation:

IF x and Y are independent then Cov(x,y)= 0

Var(x+y) = Var X + Var y + 2cov(x,y)

= 2.4 + 3.2 +0 = 5.6

Z1= X - E (X)/ √Var (X) and Z2 = Y - E(Y)/ √Var Y

Var (z1+z2) = Var (z1) + Var(z2) + 2Cov (z1,z2)

Cov (z1,z2)= E(z1,z2) - E(z1) E(z2)

= E(z1,z2) [as E(z1) E(z2)= 0]

= E {[ X-E(X)] [Y-E(Y)]/ √Var(X) Var(y)}

= E{[ X- 6.1][Y- 7.5]/√2.4(3.2)}

= E {xy-7.5x -6.1y +45.75]/ 2.771}

={ 6.1(7.5) - 7.5(6.1) - 6.1(7.5) + 45.75]/ 2.771}

= 0/2.771

= 0

Var (z1+z2) = Var (z1) + Var(z2)

= {E (X)/ √Var (X)} +{ Y - E(Y)/ √Var Y}

= {6.1/√2.4 } + {7.5/√3.2}

= 3.93+ 4.19

=8.122

A. ​(0.714, 0.826)

Step-by-step explanation:

Given that:

The sample size n = 150

The number of success(sample proportion) x = 115

The population proportion [tex]\hat p[/tex] =  [tex]\dfrac{x}{n}[/tex]

The population proportion [tex]\hat p[/tex] = [tex]\dfrac{115}{150}[/tex]

The population proportion [tex]\hat p[/tex] = 0.767

At 90% confidence interval level;

[tex]Z_{\alpha /2} = Z_{0.05} = 1.645[/tex]

Thus, the confidence interval estimate for the true population proportion can be computed by using the formula:

[tex]=\hat p \ \pm \ z_{\alpha /2} \sqrt{\dfrac{\hat p(1- \hat p)}{n} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.767(1- 0.767)}{150} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.767(0.233)}{150} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{\dfrac{0.178711}{150} }[/tex]

[tex]= 0.767 \ \pm 1.645 * \sqrt{.0011914}[/tex]

[tex]= 0.767 \ \pm 1.645 * 0.03452[/tex]

[tex]= 0.767 \ \pm 0.0568[/tex]

= (0.767 - 0.0568,  0.767 + 0.0568)

= (0.7102 , 0.8238 )

Due to approximation;  the confidence interval estimate for the true population proportion  is [tex]\simeq[/tex]  ​(0.714, 0.826)