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3 years ago

5

Three unbiased coins are tosses simultaneously. X represents the number of tails obtained. Calculate the probability of each of

the elements of X

1 answer:

blsea [12.9K]3 years ago

8 0

The probability is

7/8

good luck

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What is the equation of the line, in slope-intercept form, that passes through the point (0,7) and is perpendicular to the line

Alex Ar [27]

A line perpendicular to another occurs at the negative reciprocal of the slope of the original line. Why this is, I can further explain in the comments if you're interested. What is a reciprocal though? a reciprocal, if you're unfamiliar, is just the flipped form of it.

As an example, the negative reciprocal of 1/4 is -4/1. I multiplied 1/4 by a negative, and flipped the fraction.

So, what would the negative reciprocal of 3 be? well, you can imagine 3 to be 3/1 to help. so we multiply it by a negative, which gives us -3/1, and then we flip it, giving us -1/3. This is the slope of our unknown line. Because of this, we can mark out...well all of them haha. You need to double check your question and answers provided. With the info you've given me, none of your answers are correct. Let me know what happened if you can! if not, I would question your teacher, cause they messed up somewhere haha.

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2 years ago

Use the equation of the circle centered at the origin and

Serggg [28]

Answer:

Step-by-step explanation:

The standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$

If we are given x and y as 0 and 5 respectively, and we are also told that the center is (0, 0), our h and k are both 0. Filling in x, y, h, and k we can find the radius. So let's do that:

$(0-0)^2+(5-0)^2=r^2$ and

$0^2+5^2=r^2$ so

$r^2=25$ Our circle's equation is

$x^2+y^2=25$

Since the point in question, (4, 4), lies in the first quadrant, we will concentrate on that quadrant only. To fall within the circle, we can set up an inequality and test the point (4, 4). If it lies ON the circle then the equality would be true. Let's try that first:

$4^2+4^2=25$

Obviously, 16 + 16 does not equal 25, so that point (4, 4) does not lie ON the circle. In fact from that statement alone, we can determine that the point lies outside the circle because

$4^2+4^2>25$

If the inequality < were true then the point would lie inside.

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3 years ago

WILL MARK BRILLIANT!!! I need help ASAP

Rashid [163]

Answer:

Step-by-step explanation:

Charging by the quarter mile is for purpose of making that particular taxi service seem cheaper than the others when they post a per mile charge. If this taxi company is charging .50 per 1/4 mile, they are charging $2 per mile. So we will base our equation on the per mile charge, not the per quarter-mile charge. If x is the number of mile driven (our uknown), and we have a flat fee of $2.50 regardless of how many miles we are driven, the cost function in terms of miles is

C(x) = 2x + 2.50

If we are driven 5 miles, then

C(5) = 2(5) + 2.50 so

C(5) = 10 + 2.50 and

C(5) = $12.50

It would cost $12.50 to be driven 5 miles

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2 years ago

A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the

Vinvika [58]

Answer:

The dimensions that give the minimum surface area are:

Length = 14cm

width = 14cm

height = 14cm

And the minimum surface is:

S = 1,176 cm^2

Step-by-step explanation:

A regular rectangular prism has the measures: length L, width W and height H.

The volume of this prism is:

V = L*W*H

The surface of this prism is:

S = 2*(L*W + H*L + H*W)

If the base of the prism is a square, then we have L = W

Then the equations become:

V = L*L*H = L^2*H

S = 2*(L^2 + 2*H*L)

We know that the volume of the figure is 2744 cm^3

Then:

V = 2744 cm^3 = H*(L^2)

In this equation, we can isolate H.

H = (2744 cm^3)/(L^2)

Now we can replace this on the surface equation:

S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))

S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

This is equal to zero when:

0 = 2*(2*L) - 4*(2744 cm^3)/L^2

0 = 4*L*L^2 - 4*(2744 cm^3)

4*(2744 cm^3) = 4*L^3

2744 cm^3 = L^3

∛(2744 cm^3) = L = 14cm

Then the length of the base that minimizes the surface is L = 14.

Then we have:

H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm

Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

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2 years ago

Find the area of the parallelogram shown below.<br> 5<br> 4<br> square units

alina1380 [7]

Length times width and that will get you an answer

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2 years ago