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2 years ago

Which is the mode of this data? 12, 19, 22, 17, 15, 18, 15, 14, 16

Mathematics

1 answer:

Snezhnost [94]2 years ago

4 0

Answer: 15
REMEMBER: The mode is the value that appears most frequently in a data set.

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Write an equation for a parabola in which the set of all points in the plane are equidistant from the focus and line F(-6,0); x=

Bogdan [553]

Step-by-step explanation:

Since we have a vertical directrix, the equation of the parabola is

$(y - k) {}^{2} = 4p(x - h)$

Where p is the distance from the vertex to the directrix.

or the distance from the vertex to the focus.

Since we have a sideways parabola, let use the point for the directrix is (-6,0). So let find the midpoint of (-6,0) and (6,0). That would be our vertex.

$\frac{ - 6 + 6)}{2} = 0$

$\frac{0 + 0}{2} = 0$

So our vertex is (0,0).

So our equation become

${y}^{2} = 4px$

The distance from the focus and directrix is 6.

So p=6.

${y}^{2} = 24x$

So p is 6.

Since p is 6,

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

3 0

1 year ago

A carton of paper is priced at $27.00 now. If the paper goes on sale for 25% off the current price, what will be the sale price

BigorU [14]

I think the answer would be $33.75.

8 0

2 years ago

The height of a trapezoid is 8 in. And its area is 96 in2. One base of the trapezoid is 6 inches longer than the other base. Wha

Vsevolod [243]

Answer:

The lengths of the bases are 9 inches and 15 inches.

Step-by-step explanation:

The area of trapezoid is

$=\frac12(\textrm{ sum of parallel sides})\times height$

Given that the height of a trapezoid is 8 in. and its area is 96 in².

Assume the bases of the trapezoid be b₁ and b₂.

Since one base of the trapezoid 6 in. longer than the other.

Let, b₁=b₂+6

The area of the trapezoid is

$=\frac 12 (b_1+b_2)\times8$ in²

$=\frac12 (b_2+6+b_2)\times 8$ in²

$=\frac12(2b_2+6)\times8$ in²

According to the problem,

$\frac12(2b_2+6)\times8 =96$

$\Rightarrow 2b_2+6=\frac{96\times 2}{8}$ [ Multiplying $\frac28$ ]

$\Rightarrow 2b_2+6=24$

$\Rightarrow 2b_2=24-6$

$\Rightarrow 2b_2=18$

$\Rightarrow b_2=\frac{18}{2}$

$\Rightarrow b_2=9$

Then, $b_1=b_2+6$

=9+6

=15 in

The lengths of the bases are 9 inches and 15 inches.

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3 years ago

What is 5 1/12 -3 5/12?

lara [203]

Answer:

the answer is -5/6 hope this helps

7 0

3 years ago

One leg of a right triangle measures 15 m and the hypotenuse measures 17 m. What is the measure of the other leg?

wolverine [178]

15^2+x^2=17^2
225+x^2=289
289-225=64
x^2=64
x=8

6 0

3 years ago

Read 2 more answers