easy khan academy math. please answer asap

Answer:

The final price to be paid after the 2% discount has been made will be $ 16,645.30.

Step-by-step explanation:

Since there is a 2% discount on the price of the Honda Shadow in the event that the dealer pays Honda within 15 days, and that after a rebate the price of the vehicle is $ 16,985, to obtain the value of the discount and the final amount to be paid must be calculated as follows:

16,985 x 2/100 = X

33,970 / 100 = X

339.70 = X

Thus, the discount to be made will be $ 339.70, with which the final price to be paid after the 2% discount has been made will be $ 16,645.30.

Answer:

Expected Value of $2:

Expected Value of $2:

Win, 0.3333 x $3 = $1

Plus

Loss, 0.6667 x -$2 = -$1.33

Expected value = ($0.33)

Step-by-step explanation:

Probability of a win = 2/6 = 0.3333

Probability of a loss = 4/6 = 0.6667

Expected Value of $2:

Win, 0.3333 x $3 = $1

Plus

Loss, 0.6667 x -$2 = -$1.33

Expected value = ($0.33)

The casino game player's expected value is computed by multiplying each of the possible outcomes by the likelihood (probability) of each outcome and then adding up the values.  The sum of the values is the expected value, which amounts to a loss of $0.33.

Answer:

[tex]\large \boxed{\text{5.29 s}}[/tex]

Step-by-step explanation:

The appropriate free fall equation is  

y = v₀t + ½gt²

Data:

v₀ = 0

g = 32.17 ft·s⁻²

Calculation:

[tex]\begin{array}{rcl}450 &=& v_{0}t + \dfrac{1}{2}gt^{2}\\\\& = & 0 \times t + \dfrac{1}{2}\times 32.17t^{2}\\\\& = & 16.08t^2\\t^{2}& = & \dfrac{450}{16.08}\\\\& = & 27.97\\t & = & \textbf{5.29 s}\\\end{array}\\\text{It took $\large \boxed{\textbf{5.29 s}}$ for the phone to reach the ground.}[/tex]

Complete Question

The standard deviation of samples from supplier A is 0.4582, while the standard deviation of samples from supplier B is 0.3358. Which supplier would you be likely to choose based on these data and why?

1 Supplier A, as their standard deviation is higher and, thus easier to fit into our production line

2 Supplier B, as their standard deviation is higher and, thus, easier to fit into our production line

3 supplier B, as their standard deviation is lower and, thus, easier to fit into our production line

4 Supplier A, as their standard deviation is lower and, thus, easier to fit into our production line

Answer:

Option 3 is  correct

Step-by-step explanation:

From the question we are told that

     The  standard deviation of A is  [tex]\sigma_a = 0.4582[/tex]

      The  standard deviation of B is  [tex]\sigma _b = 0.3358[/tex]

Generally standard deviation defines the deviation element of a data set with respect to the mean of the set

So sample  it mean that samples from A deviates more from it mean(the standard value) than the samples from B so the best supplier to chose is B

Answer:

3x^2 + 50x - 70 = 0

b = 50

Step-by-step explanation:

0.3x^2 + 5x - 7 = 0

Multiply both sides by 10 to get rid of the decimal coefficient.

3x^2 + 50x - 70 = 0

b = 50

Answer:

1,880.82

Step-by-step explanation:

Answer:

A. (1, -2)

Step-by-step explanation:

We can substitute the variables of x and y into the inequality of [tex]y < -|x|[/tex].

Let's start with A, -2 being y and 1 being x.

[tex]-2 < - |1|[/tex]

The absolute value of 1 is 1, and negating that gets us -1.

[tex]-2 < -1[/tex]

Indeed, -2 is less than -1! So A is a solution to the inequality.

Let's test the rest of them, just in case.

For B:

[tex]-1 < -|1|[/tex]

Absolute value of 1 is 1, negating it is -1.

[tex]-1<-1[/tex]

-1 is EQUAL to -1, not less than it, so is not a solution to the inequality.

Let's try C.

[tex]0 < -|1|[/tex]

Absolute value of 1 is 1, negating it is -1.

[tex]0 < -1[/tex]

0 is GREATER than -1, so that is not a solution to the inequality.

Hope this helped!

1 means that he is present, 0 means that he is not.

True means that they can open.

[tex]\begin{array}{cccccccccccc} \text{X} &&& \text{Y} &&& \text{Z} &&& \text{True} \\1 &&& 1 &&& 1&&& 1 \\ 1 &&& 1 &&& 0&&&1 \\ 0 &&& 1 &&& 1&&&0 \\ 1 &&& 0 &&& 1&&&1 \\ 0&&& 1 &&& 0&&&0 \\ 0 &&& 0 &&& 1&&&0 \\ 1 &&& 0 &&& 0&&&0 \\ 0 &&& 0 &&& 0&&&0 \\ \end{array}[/tex]

Answer:

police

Step-by-step explanation:

=========================================

Work Shown:

1.5/3 = 31.5/x

1.5x = 3*31.5  cross multiply

1.5x = 94.5

x = 94.5/1.5  dividing both sides by 1.5

x = 63

-----------

An alternative equation to solve is

1.5/31.5 = 3/x

1.5x = 31.5*3

1.5x = 94.5

The remainder of the steps are the same as in the previous section above.

Answer: There will be no real solutions

Explanation: If the discriminant (the part under the radical in the numerator of the quadratic equation) is less than 0, there are no real solutions. If positive, there will be two real solutions. If 0, there will be one.

Answer:

-38

Step-by-step explanation:

it's subtracting 7 everytime, and -31-7=-38

Answer:

third option

Step-by-step explanation:

We just have to calculate 2x² - 4x - (x² + 6x). 2x² - x² = x² and -4x - 6x = -10x so the answer is x² - 10x.

Answer:

x^2-10x

Step-by-step explanation:

f(x)-g(x)

(2x^2-4x)-(x^2+6x)

carry through the negative

2x^2-4x-x^2-6x

x^2-10x

Answer:

B. [tex] -3x [/tex]

Step-by-step explanation:

In algebra, a term could be a single negative or positive number (constant), a variable or a variable with a coefficient. It could also be 2 variables multiplied together.

The algebraic expression [tex] -3x - 7(x + 4) [/tex] , can be expanded and expressed as:

[tex] -3x - 7(x) -7(+4) [/tex]

[tex] -3x - 7x - 28 [/tex]

The three terms are: [tex]-3x, - 7x, -28[/tex]

Therefore, from the given answer choices, the term that is a term in the expression, [tex] -3x - 7(x + 4) [/tex] , is B. [tex] -3x [/tex]

Answer:

False.

Step-by-step explanation:

This is NOT an example of a binomial random variable, because a binomial random variable can only have TWO possible outcomes: success or failure. In the case of rolling a die, there are SIX possible outcomes: 1, 2, 3, 4, 5, or 6.

So, rolling a 6-sided die and counting the number of each outcome that occurs is NOT a binomial random variable.

Hope this helps!

The given statement "Rolling a 6-sided die and counting the number of each outcome that occurs" is false.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

The given statement "Rolling a 6-sided die and counting the number of each outcome that occurs" is not an example of the binomial random variable. This is because the binomial random variable can only have two possible outcomes, which is not true in the case of a die that had six faces and six outcomes for each through.

Although if the probability is needed to be calculated for the same digit occurring or not it can be calculated using the binomial random variable.

Hence, The given statement "Rolling a 6-sided die and counting the number of each outcome that occurs" is false.

Learn more about Binomial Distribution:

https://brainly.com/question/14565246

#SPJ5

Answer:

Step-by-step explanation:

2.8 kilometers farther. Subtract 12.1km for Winchester and 9.3 for Stamford to get 2.8 kilometers.

Answer:

It is a well formed formula

Step-by-step explanation:

1 - p,q,r are well formed formulas.

2 - [tex]p \ \lor \ q[/tex]  is a well formed formula as well.

3 - [tex]\neg r[/tex] is a well formula as well

4 - [tex](\ p \ \lor \ q) \ \land \ \neg r[/tex] is a well formula as well.

Answer:

75

Step-by-step explanation:

x = 75°

yes x = 75°(OPPOSITE ANGLES ARE EQUAL)

..

Answer:

3057.6 cm³

Step-by-step explanation:

You have a cylinder and a rectangular prism.  Solve for the area of each separately.

Cylinder

The formula for volume of a cylinder is V = πr²h.  The radius is 7, and the height is 7.

V = πr²h

V = π(7)²(7)

V = π(49)(7)

V = 343π

V = 1077.57 cm³

Rectangular Prism

The formula for volume of a rectangular prism is V = lwh.  The length is 20, the width is 11, and the height is 9.

V = lwh

V = (20)(11)(9)

V = (220)(9)

V = 1980 cm³

Add the areas of the two shapes.

1077.57 cm³ + 1980 cm³ = 3057.57 cm³

Round to the nearest tenth.

3057.57 cm³ ≈ 3057.6 cm³

Answer:

176 mm

Step-by-step explanation:

The circumference of a circle is the perimeter of a circle (length of a circle). The circumference of a circle is given as:

Circumference (C) = 2πr = πd, where d is the diameter

The circumference of a circle with diameter 7 mm is:

C = πd = 22/7(7) = 22 mm

The length of the paper to round the cylindrical pencil is the same as the perimeter of the pencil which is 22 mm.

To round the pencil 8 times, the length of the paper needed = 8 × 22 mm = 176 mm

Answer:

14π or 43.96

Step-by-step explanation:

C = 2πr and we know that r = 7 so C = 14π or 43.96.

Answer:

1 is 1.

2 is 2.

3 is 3. (this is not a joke, keep going)

4 is -1/3.

5 is -1/2.

6 is -1/4.

7 is -5/3.

8 is -4/15, if you meant that the points are (8,10) and (-7,14). You might have typed wrong.

9 is -1/4.

10 is 1/3. Take a look at it. It goes up by 1 and it goes over 3. 1 divided by 3 is 1/3.

11 is 1. It rises 2 and goes across by 2. 2 divided by 2 is 1.

12 is -3/4, because it goes down 3 and over 4.

13 is -3/2. Do you see why?

14 is 1. It's super easy, since it only goes up 1 and over 1.

15 is easy. You have to figure this one out, but I'll give you a hint. It goes down by 3 .

Answer:

c. $50.37

Step-by-step explanation:

Close price was $56.11 and net change was $5.74. so subtract the net change from the close to get yesterday's price.

Answer:

c.50.37

Step-by-step explanation:

Amplitude:4

Equation of Midline: 2

Period of function:3

Function shifted left:0.5

Function shifted up: 2

From the graphed cosine function we are given, we have;

1) Amplitude = 4

2) Equation of midline; m = 2

3) Period of the function = 3π

4) The function shifted 0.5 units left.

5) The function shifted 2 units up.

Read more; https://brainly.com/question/16280305

Answer:

A road with a pitch of 1 in 8 is steeper.

Step-by-step explanation:

Let us convert these to the same units so that we can better compare them.

[tex]\frac{1}{8} = 0.125[/tex]

0.125=12.5 %

As 12.5% is greater than 12%, the road with a pitch of 1 in 8 will be steeper.

Answer:

56 number of ways

Step-by-step explanation:

This question is a combination question since it involves selection.

Generally, if r objects are to be selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

If a manager receives 8 applications for a specific position and wants to narrow it down to 5, the number of ways he can do this is 8C5

8C5 = 8!/(8-5)!5!

= 8!/3!5!

= 8*7*6*5!/3*2*5!

= 8*7*6/3*2

= 8*7

= 56 number of ways.

This means that the manager can rank 5 applications in 56 number of ways

The number of ways that can she rank 5 applications should be 6720.

Since A manager receives 8 applications for a specific position. She wants to narrow it down to 5.

So here we do apply the permutation here:

[tex]= 8!\div 5!3! \times 5!\div 0!\\\\= 8\times 7\times 6\times 5\times 4[/tex]

= 6720

Hence, The number of ways that can she rank 5 applications should be 6720.

Learn more about ways here: https://brainly.com/question/18988173

Answer:

Step-by-step explanation:

121212121211212 its B

Answer:

answer is B

Step-by-step explanation:

Answer:

[tex]P ( t ) = \frac{9100.024}{1 + 55.875e^-^1^.^1^3^5^0^6^*^t}[/tex]

Step-by-step explanation:

Solution:-

- We are given a logistic growth model of the fish population cultured. The logistic growth of fish population is modeled by the following equation:

                         [tex]P ( t ) = \frac{c}{1 + 55.875e^-^ 1^.^1^3^5^0^6^t}[/tex]

Where,        c: the constant to be evaluated.

- We are given the initial conditions for the model where at t = 0. The initial population was given to be:

t = 0 ,              Po = 160

                       N ( carrying capacity ) = 9100

- After a year, t = 1. The population was tripled from the initial value. That is P ( 1 ) = Po*3 = 160*3 = 480.

- We will use the given logistic model and set P ( 1 ) = 480 and determine the constant ( c ) as follows:

                           [tex]P ( 1 ) = \frac{c}{1 + 55.875e^-^ 1^.^1^3^5^0^6^*^1} = 480\\\\c = 480* [ 1 + 55.875e^-^ 1^.^1^3^5^0^6]\\\\c = 9100.024[/tex]

- The complete model can be written as:

                            [tex]P ( t ) = \frac{9100.024}{1 + 55.875e^-^1^.^1^3^5^0^6^*^t}[/tex]

Answer:

6. 156.6 cm

7. 687.7’

Step-by-step explanation:

45 cm and 150 cm are the legs of one triangle.

The longest side is the hypotenuse.

Apply Pythagorean theorem, since the two triangles are right triangles.

a² + b² = c²

a and b are the legs, c is the hypotenuse.

45² + 150² = c²

24525 = c²

√24525 = c

c = 156.604597634...

c ≈ 156.6

Brain hang-glided from a 520’ high cliff. He landed 450’ away from the base of the cliff. Create a right triangle and apply Pythagorean theorem. The distance he travelled is the hypotenuse of the triangle. The 520’ and 450’ are the legs.

a² + b² = c²

450² + 520² = c²

c² = 472900

c = √472900

c = 687.677249878...

c ≈ 687.7

Answer: 6) =approx 156.60 cm

7) =approx 687.68'

Step-by-step explanation:

6.  Let the shortest side of the triangle is AB=45 cm ( ∡A=90° so ABCD  is a rectangle). The middle side AD=150 cm.  The longest side is BD

The length of BD can be calculated using Phitagore theorem  because triangle BAD ia right angle.

BD=sqrt(AD²+AB²)=sqrt(2025+22500)=approx 156.60 cm

7. So we can create the model of the situation described in this problem.

The model is right-angle triangle ABC  with side AB=520'  ,side AC=450', right angle is A. So we have to find the length of side BC .

BC is hypotenuse of triangle ABC. We can find it  using Phitagore theorem again.

BC=sqrt(AC²+AB²)=sqrt(450²+520²)=sqrt(472900)=approx 687.68'

Answer:

[tex]\huge\boxed{x=\dfrac{5}{4}}[/tex]

Step-by-step explanation:

[tex]\left(\dfrac{1}{2}\right)^{x-1}=2^{3x-4}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\\left(2^{-1}\right)^{x-1}=2^{3x-4}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\2^{(-1)(x-1)}=2^{3x-4}\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\2^{(-1)(x)+(-1)(-1)}=2^{3x-4}\\\\2^{-x+1}=2^{3x-4}\iff-x+1=3x-4\qquad\text{subtract 1 from both sides}\\\\-x+1-1=3x-4-1\\\\-x=3x-5\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\-x-3x=3x-3x-5\\\\-4x=-5\qquad\text{divide both sides by (-4)}[/tex]

[tex]\dfrac{-4x}{-4}=\dfrac{-5}{-4}\\\\x=\dfrac{5}{4}[/tex]

Answer:

  17

Step-by-step explanation:

A graphing calculator is useful for writing a linear equation from a table of values. The one shown below says the table can be represented by the equation ...

  y = 2x -3

The graph of the two equations shows the solution is (10, 17).

  The y-value of the solution is 17.

Answer:

17 is correct

Step-by-step explanation: