Three teachers equally shared StartFraction 4 Over 5 EndFraction of a flat of paper that was donated to the school. What fraction of the flat of paper did each teacher receive? StartFraction 4 Over 45 EndFraction of the flat StartFraction 4 Over 15 EndFraction of the flat StartFraction 14 Over 45 EndFraction of the flat StartFraction 12 Over 15 EndFraction of the flat

Complete Question

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 12%. There is only a 52% chance that she will find a tutor at such short notice

a What is the probability that Christine fails the course

b Christine ends up failing the course. What is the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability

Answer:

a

   [tex]P(F) =   0.264[/tex]

b

[tex]P(T | F ) = 0.23636 [/tex]

Step-by-step explanation:

From the question we are told that

The probability that Christine will fail the course if she does not have a tutor is [tex]P(F| T') = 0.42[/tex]

The probability that Christine will fail the course if she has a tutor is [tex]P(F| T) = 0.12[/tex]

The probability that she will find a tutor is [tex]P(T) = 0.52[/tex]

Generally the probability that she will not find a tutor is

[tex]P(T') = 1 - 0.52[/tex]

=> [tex]P(T') = 0.48[/tex]

Generally the probability of failing the course is

[tex]P(F) = P(F \ n \ T) + P(F \ n \ T')[/tex]

=> [tex]P(F) = P(F| T) * P(T) + P(A | T') * P(T')[/tex]

=> [tex]P(F) = 0.12 * 0.52 + 0.42* 0.48[/tex]

=> [tex]P(F) = 0.264[/tex]

Generally if Christine ends up failing the course the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability is mathematically represented as

[tex]P(T | F ) = \frac{ P(F | T) * P(T)}{ P(F)}[/tex]

=> [tex]P(T | F ) = \frac{ 0.12 * 0.52}{ 0.264}[/tex]

=> [tex]P(T | F ) = 0.23636 [/tex]

Answer:

its 1,456,000

Step-by-step explanation:

first you multiply 200 times 5280 and add 4000 if thats right uon

Answer:

DA FA WERE ARE THE QUESTIONS?????????

Step-by-step explanation:

Answer:

3,600/60

Step-by-step explanation:

Answer:

Here you go

Step-by-step explanation:

The first term is,  9e2  its coefficient is  9 .

The middle term is,  +30e  its coefficient is  30 .

The last term, "the constant", is  +25

Step-1 : Multiply the coefficient of the first term by the constant   9 • 25 = 225

Step-2 : Find two factors of  225  whose sum equals the coefficient of the middle term, which is   30 .

     15    +    15    =    30    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  15  and  15

                    9e2 + 15e + 15e + 25

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3e • (3e+5)

             Add up the last 2 terms, pulling out common factors :

                   5 • (3e+5)

Step-5 : Add up the four terms of step 4 :

                   (3e+5)  •  (3e+5)

            Which is the desired factorization

A part of the question is missing which is;

What is the minimum duration for which an apartment remained empty for the company to update the kitchen appliances? Round to the nearest whole number.

Answer:

133 days

Step-by-step explanation:

We are given;

Population mean; μ = 85 days Population standard deviation; σ = 29 days

significance level; α = 5% = 0.05

Critical value of z at significance level of 0.05 = 1.645

Now, formula for z-score is;

z = (x - μ)/σ

Where x is the minimum duration for which an apartment remained empty for the company to update the kitchen appliances.

1.645 = (x - 85)/29

(1.645 × 29) = x - 85

47.705 = x - 85

x = 85 + 47.705

x = 132.705

x ≈ 133 days

Answer: 37 days

Step-by-step explanation:

Answer:

$14.25

Step-by-step explanation:

12 x 0.45 = 5.4

8.40-5.40=3

3 is the flat fee

3+(0.45 x 25) = 14.25

Answer:

$14.25

Step-by-step explanation:

8.40 = .45(12) + b

8.40 = 5.4 + b

b = 3

b = .45(25) + 3

b = 11.25 + 3

b = 14.25

Answer:

first option

Step-by-step explanation:

the area of a rectangle is

base*height

[tex]Purple=(3)\times(a)\\\\=3a\\\\\\Green=(\frac{1}{2})\times(3)\\\\=\frac{3}{2}\\\\\\Red=1\times a\\\\=a\\\\\\Yellow=\frac{1}{2}\times 1\\\\=\frac{1}{2}[/tex]

so the sum is

[tex]\Sigma A=3a+a+\frac{3}{2}+\frac{1}{2}[/tex]

which is the first option

The expression for the area of the poster is written as the sum of the areas of each colored section is 3a + a + 3 1/2 + 1/2

Area of a rectangle = length × width

Purple color:

Area = length × width

= 3 × a

= 3a

Red color:

Area = length × width

= 1 × a

= a

Green color:

Area = length × width

= 3 × 1/2

= 3 1/2

Yellow color:

Area = length × width

= 1 × 1/2

= 1/2

Sum of the areas = purple + red + green + yellow

= 3a + a + 3 1/2 + 1/2

Therefore, expression for the area of the poster is written as the sum of the areas of each colored section is 3a + a + 3 1/2 + 1/2

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x = 3, y² = -5x -12, x² + y² =81. are all not functions. the others are functions.

Step-by-step explanation:

I just did it

A function assigns the values. The correct options are C and E.

A function assigns the value of each element of one set to the other specific element of another set.

An equation is said to be a function if for each different value of x(input) it should give a different output. Therefore, for different inputs of x, the value of the output y should be different and unique. Also, the values if the equation produces the same output for two values of x it also said to be a function.

A.)

x = 3, since for every value of x the value is 3, which is not possible. Hence, this is not a function.

B.)

x² + y² = 81

For the given equation if the value of x is given as 0, the value of y will be,

x² + y² = 81

0² + y² = 81

y² = 81

y = ±√81

y = -9, 9

Hence, this can not be a function.

C.) y = -x + 11

For the given equation if the value of x is kept anything the value of y will be different. Thus, this is a function.

D.)

y² = -5x - 12

For the given equation if the value of x is given as less than -2.4, there will be two values of y. Thus, the given equation is not a function.

E.)

y = 2x² - 6x + 4

The given function will return will the same value of y for 2 different values of x. Hence, this is a function.

F.)

y = -7

Since the given equation can only have the value of y as 7. Therefore, it is not a function.

Hence, the equations that are a function are y = -x + 11 and  y = 2x² - 6x + 4.

Learn more about Function:

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Answer:

a. m<C = 50 deg

b. m<G = 125 deg

c. m<K = 75 deg

Step-by-step explanation:

a.

Look at the two lines marked parallel with 2 marks each.

Angle C and angle 50 deg are alternate interior angles of 2 parallel lines cut by a transversal That makes angle C congruent to the 50-deg angle.

Answer: m<C = 50 deg

b.

Angle G is vertical to thh 125-deg angle. Vertical angles are congruent, so m<G = 125 deg

Answer: m<G = 125 deg

c.

Look at the two lines marked parallel with one mark each.

Angles e and c are corresponding angles, so they are congruent.

m<E = m<C = 50 deg

The 125 deg angle and angle F are a linear pair, so their measures add up to 180.

f + 125 = 180

m<F = 55 deg

Angles E, F and K are the interior angles of a triangle, so their measures add up to 180 deg.

e + f + k = 180

50 + 55 + k = 180

k = 75

m<K = 75 deg

Answer:

B

Step-by-step explanation:

b.

It snows 2 inches every hour so for x hours it will be x×2 inches

The equation:  y = 2x

So for x hours we have 2x inches of snow

c.

x = 24, so y = 2×24 = 48

It will fall 48 inches of snow

Answer:

y = -3/4x - 6

Step-by-step explanation:

Use y-intercept (0, -6) and slope -3/4 and put into y=mx+b form to solve for b

Remember that m is also known as slope!

-6=(-3/4 * 0) + b

b= -6

y= -3/4x - 6

Answer:

58.5

Step-by-step explanation:

hope it helps :)

Answer:

9⁹

Step-by-step explanation:

Hi there !

9⁴ ₓ 9⁵ = 9⁴⁺⁵ = 9⁹

Good luck !

Answer:

1) Find the measure of each angle.

The measure of each angle = 63° and 27°

2) Which equation below accurately translates the sentence and could be used to find the measure of each angle?

a) 2x + 9 = 90 - x

Step-by-step explanation:

1) Find the measure of each angle.

Two Angles are Complementary when they add up to 90 degrees (a Right Angle)

Mathematically this is represented as:

x° + y° = 90°

From the above question, we are told that:

The measure of an angle is 9 more than twice its complement.

Let the complement of an angle be represented by x

And its measure of an angle be represented by y

Hence,

y = 2× x+ 9

y =(2x + 9)°

x° + y° = 90°

Substitute 2y + 9 for x

x + 2x + 9 = 90

Collect like terms

x + 2x = 90 - 9

3x = 81

Divide both sides by 3

3x/3 = 81/3

x = 27°

We find y(measure of the angle)

x + y = 90

27 + y = 90

y = 90 - 27

y = 63°

Therefore, the measure of each angle is given as:

Measure of an angle = 63°

Complement of an angle = 27°

2) Which equation below accurately translates the sentence and could be used to find the measure of each angle?

a)2x + 9 = 90 - x

b) x + 9 = 2(x - 90)

c) x = 9 + 2(90 - x)

d) 2x = (x - 90) + 9

Option a) is the correct option

Answer:

b 5.75%

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

Use PEMDAS

[tex]\frac 2 3 * -6 * 5\\\frac 2 3*-30\\\frac {-60}{3}\\-20[/tex]

Answer:

[tex](1)\; G(x)=2(x-14)^2+6[/tex]

Step-by-step explanation:

Assuming, right and up are positive directions.

The given parent function, [tex]f(x)=x^2[/tex]

Let [tex]f_1(x)[/tex] be the function when the parent function is stretched by a scale factor of 2.

So, [tex]f_1(x)=2f(x)[/tex]

[tex]\Rightarrow f_1(x)=2x^2[/tex]

Let [tex]f_2(x)[/tex] be the function when [tex]f_1(x)[/tex] is translated [tex]14[/tex] units right.

So, [tex]f_2(x)=f_1(x-14)[/tex]

[tex]\Rightarrow f_2(x)=2(x-14)^2[/tex]

Again, let [tex]f_3(x)[/tex] be the function when [tex]f_2(x)[/tex] is translated 4 units up.

So, [tex]f_3(x)=f_2(x)+6[/tex]

[tex]\Rightarrow f_3(x)=2(x-14)^2+6[/tex]

So, the resulting function, [tex]f_3(x)=G(x)=2(x-14)^2+6[/tex].

Hence, option (1) is correct.

Answer:

0.0008228 to standard form =

8.228 x 10^-4

Answer:

-7.5 US$

Step-by-step explanation:

that's how i got it =)

Answer: The answer is B

Step-by-step explanation:

Answer:

$1.67

Step-by-step explanation:

6 divided by $3.60 = $1.67

Answer:

3 - x ≥ 9

Step-by-step explanation:

At least in inequality means greater than or equal to (≥)

Difference in mathematics means subtraction

The difference between a number x and 3

3 - x

is at least nine

3 - x ≥ 9

The inequality for the sentence is

3 - x ≥ 9

Answer:

-12

Step-by-step explanation:

Substitute x for 3

6(3-5)

Simplify in the parenthesis

6(-2)

multiply

-12

Answer:

The answer is 3,166.7

Step-by-step explanation:

2,000*9.5 = 19,000

19,000/6 = 3,166.6666

Answer:

X = 25, Angles are 65 degrees

Step-by-step explanation:

3x-10 = x+40

2x=50

x=25