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3 years ago

A variable that can be discrete or continuous is

Mathematics

2 answers:

ivann1987 [24]3 years ago

5 0

Answer:

A random variable can be discrete or continuous. A discrete random variable X has a countable number of possible values.p explanation:

Example: Let X represent the sum of two dice.

zubka84 [21]3 years ago

3 0

17 give or take a few lemons

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The area of a right triangle is sixty square centimetres. Its base is one centimetre less than twice its height. If the base and

NemiM [27]

Answer:

5. None of the above

Step-by-step explanation:

We have this information:

A = 60 cm2

b = 2*h - 1

Let's find out b and h:

The equation of the are of a triangle is A = (b*h)/2, if we replace it with our information, we have

$60 = ((2*h - 1) * h)/2\\ 120 = 2*h^2 - h\\ 0 = 2*h^2 - h - 120$

Let's find h with the quadratic formula:

$\fbox {Quadratic formula:} \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$h = \frac{-(-1)\pm\sqrt{(-1)^2-4*2*(-120)}}{2*2} = \frac{1\pm\sqrt{961}}{4} = \frac{1\pm\ 31}{4}$

h = 8 or h = -7.5

But h represents the height of the triangle, so it has to be a positive number, that's h = 8.

If we replace this in the equation we had for b, we have that b = 2*8 - 1 = 15.

Now we can calculate the hypotenuse with the Pythagorean equation

$\fbox {Pythagorean equation:}$ <em>The square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the two legs (the two sides that meet at a right angle). </em>

The base and the height are our legs. We will use "H" for the hypotenuse

$H^2 = b^2 + h^2 = 15^2 + 8^2 = 289\\ H = \sqrt {289} = 17$

H = 17

If we decrease the base and the height by 2 centimeters, we have

b' = 15 - 2 = 13 and h' = 8 - 2 = 6

With this, let's calculate the new hypotenuse:

$H'^2 = b'^2 + h'^2 = 13^2 + 6^2 = 205\\ H' = \sqrt {205} \approx 14.3$

$H' \approx 14.3$

So, the hypotenuse decreases $H - H' \approx 17 - 14.3 = 2.7$

3 0

3 years ago

C. Tan k=31/24<br> D. Cos k= 31/24

lubasha [3.4K]

Hello!

The sin of D would be the opposite side divided by the hypotenuse. As we have no hypotenuse length, neither A or D would work, as the cosine also involves the hypotenuse.

The tangent is the opposite divided by the adjacent. This would be, in terms of D, 24/31. This does not match our option.

In terms of K, the tangent is 31/24.

Therefore, our answer is C) tanK= 31/24

I hope this helps!

7 0

4 years ago

A grocery store sells a bag of 7 oranges for $2.80. What is the unit cost?

Elanso [62]

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .

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6 0

3 years ago

Read 2 more answers

*NEED HELP??!!! The regression equation y = 3.648 • 1.182x approximates the cost to go on a safari, y, given the number of years

Ghella [55]

Answer:

D) $9.95

Corrected question;

! The regression equation y = 3.648 • 1.182^x approximates the cost to go on a safari, y, given the number of years since it opened in 2005, x. Which is the best estimate for the cost of a vehicle to drive through the safari in 2011?

Step-by-step explanation:

Given;

The regression equation

y = 3.648 • 1.182^x

Where;

x = number of years since it opened in 2005

y = the cost to go on a safari

For this case;

x at 2011 = 2011 - 2005

x = 6 years

Substituting into the regression equation;

y = 3.648 × 1.182^(6)

y = 9.948547753694156132352

y = $9.95

7 0

3 years ago

Help me with this! i’ll give brainliest

Nady [450]

Answer: 2; 6; 10; 14

Step-by-step explanation:

multiply the s values by 4 the add 2

example: 4(0)+2=2

7 0

3 years ago

A variable that can be discrete or continuous is​

A variable that can be discrete or continuous is