Suppose the equation of the line s is y=2. What are the coordinates of triangle a’b’c for Rs

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.

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:

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

Answer:

10

Step-by-step explanation:

I’m joking it actually 5

Answer:

5....?

Step-by-step explanation:

Answer:

The probability of getting a cookie with no more than 3 chips is 0.0424.

Step-by-step explanation:

Let X number of chocolate chips apiece of cookie.

The mean number of chocolate chips apiece is λ = 8.

The random variable X follows a Poisson distribution with parameter λ = 8.

Compute the probability of getting a cookie with no more than 3 chips as follows:

[tex]P(X\leq 3)=\sum\limits^{3}_{x=0}{\frac{e^{-8}(8)^{x}}{x!}}[/tex]

                [tex]=0.00034+0.00268+0.01073+0.02863\\=0.04238\\\approx 0.0424[/tex]

Thus, the probability of getting a cookie with no more than 3 chips is 0.0424.

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:

[tex]-8x^{6}y^{9}[/tex]

Step-by-step explanation:

[tex] (-2x^2y^3)^3 = [/tex]

[tex] = (-2)^3(x^2)^3(y^3)^3 [/tex]

[tex] = -8x^{2 \times 3}y^{3 \times 3} [/tex]

[tex] = -8x^{6}y^{9} [/tex]

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

Answer:

I think the answer is 25.

Step-by-step explanation:

All you need to do is add up all the numbers

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:

well if you do 2.898x10 you get 28.98.

Step-by-step explanation:

Answer:

answer wil be point c because as shown

Answer:

730.3

Step-by-step explanation:

hope this helps.

Answer:

A. 2, 4

B. 4, 4

C. -1, -4

Step-by-step explanation:

Because in mathematics, a reflection is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as a set of fixed points; this set is called the axis or plane of reflection. The image of a figure by a reflection is its mirror image in the axis or plane of reflection.

So for A. just reflect the point over or "across the x-axis."

For B. just reflect the point over or "across the x-axis."

And for C. just reflect the point over or "across the y-axis."

Hope this helped!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

A. 2, 4

B. 4, 4

C. -1, -4

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:

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Answer:

The value of x - y is 14

Step-by-step explanation:

∵ x : y = 5 : 3

→ Write it in the form of the fraction

∴ [tex]\frac{x}{y}=\frac{5}{3}[/tex]

→ Multiply both sides by y

∴ [tex]\frac{x}{y}[/tex] × y = [tex]\frac{5}{3}[/tex] × y

∴ x =  [tex]\frac{5}{3}[/tex] y ⇒ (1)

∵ x + y = 56 ⇒ (2)

→ Substitute x in (2) by (1)

∴  [tex]\frac{5}{3}[/tex] y + y = 56

→ Add the like terms

∵  [tex]\frac{8}{3}[/tex] y = 56

→ Divide both sides by  [tex]\frac{8}{3}[/tex]

∴ y = 21

→ Substitute the value of y in (1) to find x

∵ x =  [tex]\frac{5}{3}[/tex] (21)

∴ x = 35

→ Now find the value of x - y

∵ x - y = 35 - 21

∴ x - y = 14

∴ The value of x - y is 14

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

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:

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Answer:  Experimental studies directly influence something to see its effect, but observational studies do not directly influence the subjects.

Step-by-step explanation:

The correct option is D.

In an experimental study, you perform an experiment. In an experiment are made with the objective of validating, refute, or support a given hypothesis, where you observe "what happens" when you modify a given set of parameters. Always in an experiment, we can define the independent and dependent variables, where the independent are the ones that we can modify at will, and the dependent ones are the ones that we observe to see how they react to the changes in the independent variables.

In observational studies, the idea is not changing anything in the object of study, so the scientist in this case are only observers or spectators.

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:

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:

The measure of angle F is 78°.

Answer:

the real answer is

5/3

divided by 1/3

and the quotient is

5

this is the real answer

Step-by-step explanation:

From the diagram attached, the divison operation represented by the model is [tex]\frac{7}{4} \div \frac{1}{2} = 3 \frac{1}{2}[/tex]

The Fraction of shaded partitions = 7(1/4) = 7/4

Half of each rectangle is circle = 1/2

Hence, the divison exemplified by the model is :

Fraction of shaded partition ÷ Circled portion

[tex]\frac{7}{4} \div \frac{1}{2}[/tex]

Take the reciprocal of 1/2 and change sign to multiplication :

[tex]\frac{7}{4} \times \frac{2}{1} = 3 \frac{1}{2}[/tex]

Therefore, the division problem represented by the model is [tex]\frac{7}{4} \div \frac{1}{2} = 3 \frac{1}{2}[/tex]

Learn more :https://brainly.com/question/18109354

Answer:

er

Step-by-step explanation:

Answer:

What function?

Step-by-step explanation:

Can you provide me with the problem.

Answer:12 2/24

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

Answer:

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

Answer:

I think The answer is C. London's favorite dog

Answer: London himself

Step-by-step explanation: I just did the assignment and read the passage and It said buck was a proxy of London himself

Answer:

y=24/35

Step-by-step explanation:

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)