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3 years ago

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Mathematics

1 answer:

3241004551 [841]3 years ago

7 0

Answer:

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Find the value of x.

hjlf

Answer:

x = 14

Step-by-step explanation:

Since they are similar triangles, their sides are proportional

12 : 15 :: 8 : x - 4

Product of extremes = Product of means

12 × ( x- 4 ) = 15 × 8

12x -48 = 120

12x = 120 + 48

12x = 168

x = 168/12

x = 14

6 0

3 years ago

Calculate the ROI, given the following: Andrew invested $20,000 in mutual funds and received a sum of $35,000 at the end of the

Dennis_Churaev [7]

We are given with an initial deposit of $20,000 and a future worth of <span>$35,000. In this case, we are asked for the return of income (ROI) of the investment. in this case, we assume the number of years equal to 1. hence,

</span>$35,000 = <span>$20,000* (1+i) ^1
</span>i or ROI then is equal to 0.75

3 0

3 years ago

Read 2 more answers

Factor completely: 4x^3 - 36x

ivanzaharov [21]

You would take out a 4x out of both terms because this is a common factor
4x^3-36x
4x(x^2-9)
and then you would notice that (x^2-9) is a difference of squares, so that factors out too
4x(x-3)(x+3)
that is all you can factor! hope this helps

3 0

3 years ago

Read 2 more answers

TOY has coordinates T (-3, 4), O (-4, 1) and Y (-2, 3). a translation maps point T to T' (-1, 1). find the coordinates of O' and

NeX [460]

Answer:

Answer: The correct option is (A) O' (−2, −2); Y' (0, 0).

Step-by-step explanation: Given that the co-ordinates of the vertices of ΔTOY are T(−3, 4), O (−4, 1), and Y (−2, 3). A translation maps point T to T' (−1, 1).

We are to find the co-ordinates of the points O' and Y'.

The given transformation from T to T' is

T(−3, 4) ⇒ T' (−1, 1).

Let, (−3 + x, 4 + y) = (-1, 1).

So,

and

That is, the transformation rule is

(a, b) ⇒ (a+2, b-3).

Therefore,

co-ordinates of O' are (-4+2, 1-3) = (-2, -2),

and

co-ordinates of Y' are (-2+2, 3-3) = (0, 0).

Thus, the required co-ordinates of O' and Y' are (-2, -2) and (0, 0) respectively.

Option (A) is correct.

8 0

3 years ago

2. An online bookstore sells both print books and e-books (books in an electronic format). Customers can pay with either a gift

Fudgin [204]

Answer:

a.0.12

b. Dependent

Step-by-step explanation:

a. The two events mentioned here are " print book is purchases" and "customer using gift card". P(P)=0.6 and P(C)=0.2. we have to calculate the probability of print book selection for purchase and payment is made through gift card i.e. P(P∩C). P(P∩C)=P(P)*P(C)=0.6*0.2=0.12.

b. If P(A∩B)=P(A)*P(B), then the two events are independent. Here in the given situation two independent variables are "purchase of e-book" and "payment made using gift card"

P(E)=0.4

P(G)=0.2

P(E and G)=P(E∩G)=0.1

P(E)*P(G)=0.4*0.2=0.08 that is not equal to 0.1. So, the two events "e-book is purchased" and "Payment made by customer using gift card" are not independent.

5 0

4 years ago