Lisa records the number of miles that each of her parents drove each day last week. Her results are shown in the table below.

What is the answer too -6/7 x 3/8 hurry quickly please

snow_lady [41]

just multiply the numerators together and denomenators together

-6*3=-18

7*8=56

-18/56

8 0

3 years ago

Alan is arranging 3 different stuffed toys in a row on a shelf. Create a sample space for the arrangement of a teddy bear (T), a

belka [17]

Answer:

In the row, we will have 3 positions.

first position

second position

third position.

Let's use the notation:

(1, 2, 3)

to describe the first, second and third positions respectively.

If we can put 3 elements there (a teddy bear (T), a kitten (K), and an elephant (E))

The sample space will be all the possible elements of the form (1, 2, 3)

For example, the element where the teddy bear is in the first position, the kitten is in the second position, and the elephant is in the third position can be written as:

(T, K, E)

And because a single toy can not be in two different positions, the elements like (T, T, T) are not allowed, so the sample space will be the set of the permutations of:

(T, K, E)

(So we just reorder these elements in all the possible different ways)

That set is:

(T, K, E); (T, E, K); (E, T, K); (E, K, T); (K, T, E), (K, E, T)

Then the sample space will be:

S = {(T, K, E); (T, E, K); (E, T, K); (E, K, T); (K, T, E), (K, E, T)}

A space defined by these 6 elements.

3 0

3 years ago

A figure is a quadrilateral if and only if it is a polygon; biconditional true or false

Afina-wow [57]

I think the correct answer is false. A figure is not only a quadrilateral if and only if it is a polygon. A polygon can have three or more sides. A polygon is a plane figure that is bounded by a finite chain of straight line segments closing in a loop to form a closed chain or circuit

8 0

3 years ago

Given the directrix of y = 6 and focus of (0, 4), which is the equation of the parabola?

krok68 [10]

$y = \frac{1}{24} x^{2}$

Step-by-step explanation:

Since directrix is a horizontal line, this is a regular vertical parabola, where the x part is squared. The equation of a vertical parabola is:

(x - h)² = 4p(y - k)

where,

(h,k) are the coordinates of the vertex

p = distance from the vertex to the focus

So, we need to find out h, k and p and plug those values :

We know that the vertex of a parabola is halfway between focus and the directrix . We know the focus (0,4) and directrix y = 6 therefore, vertex (h,k) = (0, 0)

Now, p = distance from the vertex to the focus

= distance from the (0,0) to the (0,4)

= 4

Plug all the values in equation:

$(x-0)^{2} = 4(4)(y-0)\\x^{2} = 24y$