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Answer: [tex]\frac{4}{7}[/tex]

Step-by-step explanation:

P(a) or P(b) = P(a) + P(b)

This means that the probability of a or b is the same of the probability of a plus b

So let's see the probability of a, selecting a professor

[tex]\frac{12}{12+6+9+8} \\\\\frac{12}{35}[/tex]

We won't simplify just yet so that addition will be easier later

Now let's see the probability of selecting b, an instructor

[tex]\frac{8}{12+6+9+8} \\\\\frac{8}{35}[/tex]

Now add the 2 probabilities together

[tex]\frac{12}{35} +\frac{8}{35} =\frac{20}{35}[/tex]

Simplify.

[tex]\frac{20}{35} =\frac{4}{7}[/tex]

Answer:

Explanation:

use compound interest formula:  [tex]\sf \boxed{ \sf P ( \sf 1 + \dfrac{r}{100} )^n}[/tex]

[tex]\rightarrow \s \sf 10( 1 + \dfrac{1.4}{100} )^n = 20[/tex]

[tex]\rightarrow \sf ( 1.014) ^n = 2[/tex]

[tex]\rightarrow \sf n( ln( 1.014) ) = ln(2)[/tex]

[tex]\rightarrow\sf n = \dfrac{ln(2)}{ln( 1.014)}[/tex]

[tex]\rightarrow\sf n = 49.8563 \ years[/tex]

Answer:

General form of an exponential equation:  [tex]y=ab^x[/tex]

where:

Given information:

⇒ growth factor = 100% + 1.4% = 101.4% = 1.014

Inputting these values into the equation:

[tex]\implies y=10(1.014)^x[/tex]

where y is the population (in millions) and x is the number of years since 1992

Now all we need to do is set y = 20 and solve for x:

[tex]\implies 10(1.014)^x=20[/tex]

[tex]\implies 1.014^x=2[/tex]

[tex]\implies \ln 1.014^x=\ln 2[/tex]

[tex]\implies x\ln 1.014=\ln 2[/tex]

[tex]\implies x=\dfrac{\ln 2}{\ln 1.014}[/tex]

[tex]\implies x=49.85628343...[/tex]

1992 + x = 2041.8562....

Therefore, the population will reach 20 million during 2041, so the population will reach 20 million by 2042.

Applying the tangent ratio, the distance of the worm from the base of the tree is: 24.2 ft.

Tangent ratio is part of the Trigonometry ratios, which is expressed as, tan ∅ = opposite side / adjacent side in a right triangle.

The information given would form a right triangle, where:

Applying the tangent ratio, we would have:

tan 30 = 14/x

x = 14/tan 30

x = 24.2 ft.

Therefore, applying the tangent ratio, the distance of the worm from the base of the tree is: 24.2 ft.

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Answer:

11

Step-by-step explanation:

The mean is the average. To find the average, add up all the numbers, then divide by the amount of numbers there are. 13 + 5 + 11 + 8 + 14 + 15 = 66. There are 6 numbers. 66 divided by 6 = 11.

Answer:

11 is your mean

Answer:

1) y = 7 x = 7
2) y = 4.243 x = 4.243
3) y = 7.348 x = 7.348
4) y = 9 x = 9

Step-by-step explanation:

just use a calculator and put in the given information
search Right Triangle Side and Angle Calculator

Answer:

Below in bold.

Step-by-step explanation:

1. This is an isosceles right angled triangle.

x = y.

The ratio of the sides in this triangle are 1:1:√2

So 1/√2 = x / 7√2

√2 x = 7√2

x = 7.

y = 7.

The other 3 are solved in a similar way as they are all isosceles right angled triangles:

2. b = 6 and a = 6√2.

3. 1 / √2 = x / 6√3

√2 x =  6√3

x  = 6√3 / √2

x = 6√3 * √2 / 2

= 3√6

y = 3√6.

4.  x = y = 9.

Answer:

3/1

Step-by-step explanation:

1.5+1.5

calcular los dos primeros términos

3

escribe el número entero como una fracción

3/1

Answer:

12

Step-by-step explanation:

Since given that:

x = 6 and y = 4

we can substitute:

xy - 3y

(6)(4)-3(4)       {6*4 = 24}

24 - 3(4)         {3*4=12}

24 - 12 = 12

Hence, the answer = 12

~lenvy~

Answer: 12

Step-by-step explanation:

 Given:

 xy - 3y

 Plug-in the values we know:

(6)(4) - 3(4)

 Multiply 6 by 4 and 3 by 4:

24 - 12

 Subtract:

12

                    xy - 3y = 12

Answer:

1.5/5

Step-by-step explanation:

For every 1.5 hours your spend studying English, you spend 5 hours studying Math.

Brainliest please?  

Answer:

(-9, -6)

Step-by-step explanation:

Rotation 90° = (x, y) --> (-y, x)

(-6, 9) --> (-9, -6)

hope this helps and is right!! p.s. i really need brainliest :)

Based on the prices, the willingness to pay of the students and the costs, the profits will be:

The pricing strategy that yields the highest profit is the Mixed bundling strategy.

First find the willingness to pay for both the students with early classes and those without.

Student with early classes:                     Students without early classes:

= 73 + 53                                                       = 63 + 103

= 126                                                             = 166

At a mixed bundling price of 166, only students without early classes will be able to afford the bundle as their willingness to pay is 166.

Student with early classes will only take the coffee at 73 because their willingness to pay of 126 is lower than the 166 bundle price.

Profit is:

= (Bundle price + Coffee price) - (Marginal cost of two coffees + Marginal cost of banana)

= (166 + 73) - (2 x 5 + 20)

= 209

At separate only pricing students without early classes will be able to afford the both things at 166.

Student with early classes will only take the coffee at 63 because their willingness to pay of 126 won't allow them to take both items.

Profit:
= (63 + 63 + 103) - (2 x 5+ 20)

= 199

At a bundle only price of 126, both the students with early classes and those without early classes will be able to afford the bundle as their willingness to pay, match the price.

Profit will be:
= (126 + 126) - (2 x 5 ) for coffee - (2 x 20) for bananas

= 202

In conclusion, the woman should go with the Mixed bundling as it gives the highest profit of 209.

Find out more on pricing strategies at https://brainly.com/question/7303679.

Answer:

68/100

Step-by-step explanation:

It would be this because, with percentages, 100 is full. Therefore, we can just make 68 be out of 100. Hope this helps :)

Answer:

9 2/3% (or 9.66666666666%)

Step-by-step explanation:

A percent is a ratio out of 100, as this answer is out of 100, the percent is just 9 2/3%.

Answer:

letter c the BD= 10

Step-by-step explanation:

Answer:

BD=10

Step-by-step explanation:

1. BAD=BCD=60

Therefore

BA = BC (sides opposite to equal angles are equal)

BA=20

Therefore BC=20

2.BAC+BCA+ABC=180(sum of the interior angles of a triangle is 180)

60+60+ABC=180

ABC=180-120

ABC=60

ABC=BAC=BCA

Therefore ABC is an equilateral triangle

AC=20

4. AC=AD+DC

AD=DC (BD is a perpendicular bisector)

Therefore

AC=2×AD

AC=20

20=2×AD

AD=20÷2

AD=10

Hope this helps!

Considering continuous compounding, it is found that the balance of her account after 5 years is of $1,185.3.

It is given by:

[tex]A(t) = Pe^{kt}[/tex]

In which:

In this problem, the parameters are given as follows: P = 1000, r = 0.034, t = 5, hence:

[tex]A(5) = 1000e^{0.034(5)} = 1185.3[/tex]

The balance of her account after 5 years is of $1,185.3.

More can be learned about continuous compounding at https://brainly.com/question/15965736

Answer:

5/2

Step-by-step explanation:

In triangle XYZ, the known side is XZ, which is equal to 5. The corresponding side to this side would be MN, which is equal to 2. Divide XZ/MN in order to get 5/2.

Answer:

  (d)  k = 8

Step-by-step explanation:

The value k in the equation ...

  g(x) = f(x) +k

represents a vertical translation by k units.

__

The vertex coordinates for f(x) and g(x) are ...

  f(x): vertex = (-3, -3)

  g(x): vertex = (-3, 5)

This means ...

  f(-3) = -3

  g(-3) = 5 = f(-3) +k = -3 +8   ⇒   k = 8

_____

Additional comment

Translations of various kinds are often most easily seen by comparing points where the graph has a distinctive feature. On this graph, that is the vertex.

Answer: 8x25= 200

Step-by-step explanation: 200

Answer:

8×25

=200 is the answer ok

Answer:

wheres the question

Step-by-step explanation:

??????

Answer:

3,1,5

Step-by-step explanation:

Applying the angles of intersecting chords theorem, the value of x in the first figure is: x = 7.

If two chords of a circle intersect, the angles of intersecting chords theorem states that, the measure of the angle formed equals 1/2(sum of the measure of the arcs which are intercepted.

Thus, we can use the angles of intersecting chords theorem to find missing angles or value of x in the questions given.

For example, let's find the value of x in the first figure given:

12x + 5 = 1/2(83 + 95)

12x + 5 = 89

12x = 89 - 5

12x = 84

x = 7

Using same strategy, you can solve the rest of the problem given.

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Answer:

1.) C2.) C3.) D4.) D5.) C

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]\sin{x}=\frac{5}{13}, \cos{x}=\sqrt{1-(\frac{5}{13})^2}=\frac{12}{13}[/tex]

[tex]\sin{y}=\frac{8}{17}, \cos{y}=\sqrt{1-(\frac{8}{17})^2}=\frac{15}{17}[/tex]

[tex]\cos(x+y)=\cos{x}\cos{y}-\sin{x}\sin{y}\\=\frac{12}{13}\times\frac{15}{17}-\frac{5}{13}\times\frac{8}{17}\\=\frac{140}{221}[/tex]

Answer:

  $10,596.81

Step-by-step explanation:

The balance on an account earning 5% interest compounded quarterly can be found using the formula ...

  A = P(1 +0.05/4)^(4t)

where P is the principal invested and t is the number of years.

__

Here, we are investing $7500.00. After 2 years, the account balance will be ...

  A = $7500(1 +0.05/4)^(4·2) = $8283.65

After the $1500 withdrawal, the new balance will be ...

  $8583.65 -1500.00 = $6783.65

__

This is the amount earning interest for the next year, after which time the balance will be ...

  A = $6783.65·(1.0125)^(4·1) = $7129.24

When $2000 is added to the account, the principal earning interest for the last 3 years is ...

  $7129.24 +2000.00 = $9129.24

__

The final balance after 3 more years is then ...

  A = $9129.24·(1.0125)^(4·3) = $10,596.81

_____

These calculations are conveniently carried out by a spreadsheet, as in the attached. Since the account changes are all done at the end of the year, we don't have to keep track of the quarterly balances. The formula used to calculate the ending balance each year is shown.

Answer:

B

Answer:

Step-by-step explanation:

Variance=0.0016

Standard deviation is the square root of variance.

sigma=sqrt(0.0016)=0.04

mean=0.9 inch

Calculating z for 0.936 inch

z = (0.936 - 0.9)/0.04

= 0.036/0.04

= 0.9

Using normal distribution table

P(x<=0.936 inch)

= P(0.9)

= 0.81594

P(x>0.936) + P(x<=0.936) = 1

P(x>0.936)

= 1 - P(x<=0.936)

= 1 - 0.81594

= 0.18406

= 0.1841

$36 is the price after the discount but before tax.

percentage, a relative value indicating hundredth parts of any quantity.

Given that the store was offering a 10% discount.

The price on the tag was $40

We have to find the price after the discount but before tax,

The discount is 10% of $40, which is:

0.1 x $40 = $4

So the discounted price is:

$40 - $4 = $36

Hence, $36 is the price after the discount but before tax.

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Answer:

7.55 inches

Step-by-step explanation:

Add the two values together:

0.75 + 6.8 = 7.55

The combined length of Jackie's ribbons is 7.55 inches!

Answer:

He spent ⅓ of the time on the remaining three questions.

Step-by-step explanation:

Let's first figure out what the question gives us, and what we need to find.

Given:

Test - 2 hours, 5 questions

Candidate - 80 minutes, 2 questions

Find:

Fraction of time he spent on remaining three questions

Start by finding the fraction of time that he spent on the first two questions.

Set up an unit converter to convert two hours to minutes.

[tex]2$ hours($\frac{60\text{ minutes}}{1 \text{ hour}})=2\cdot 60\text{ minutes}=120$ minutes[/tex]

Let "x" represent the fraction of time the candidate spent on the first two questions...

[tex]x=\frac{\text{Amount of Time spent on First Two Questions}}{\text{Total Time}}\\x=\frac{80\text{ minutes}}{120\text{ minutes}}[/tex]

[tex]x=\frac{80}{120}[/tex]

[tex]x=\frac{8}{12}[/tex]

[tex]x=\frac{2}{3}[/tex]

Let "y" represent the fraction of time the candidate spent on the remaining three questions...

[tex]y=1-\text{Fraction of Time spent on First Two Questions}\\y=1-\frac{2}{3}\\[/tex]

[tex]y=\frac{3}{3}-\frac{2}{3}\\[/tex]

[tex]y=\frac{1}{3}[/tex]

He spent ⅓ of the time on the remaining three questions.

Answer:

ok sure wait

Step-by-step explanation: