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melamori03 [73]
2 years ago
10

The following graphs have a scale assigned to them: The area of each grid

Mathematics
1 answer:
dezoksy [38]2 years ago
6 0

The graphs that are density curves for a continuous random variable are: Graph A, C, D and E.

<h3>How to determine the density curves?</h3>

In Geometry, the area of the density curves for a continuous random variable must always be equal to one (1). Thus, we would test this rule in each of the curves:

Area A = (1 × 5 + 1 × 3 + 1 × 2) × 0.1

Area A = 10 × 0.1

Area A = 1 sq. units (True).

For curve B, we have:

Area B = (3 × 3) × 0.1

Area B = 9 × 0.1

Area B = 0.9 sq. units (False).

For curve C, we have:

Area C = (3 × 4 - 2 × 1) × 0.1

Area C = 10 × 0.1

Area C = 1 sq. units (False).

For curve D, we have:

Area D = (1 × 4 + 1 × 3 + 1 × 2 + 1 × 1) × 0.1

Area D = 10 × 0.1

Area D = 1 sq. units (True).

For curve E, we have:

Area E = (1/2 × 4 × 5) × 0.1

Area E = 10 × 0.1

Area E = 1 sq. units (True).

Read more on density curves here: brainly.com/question/26559908

#SPJ1

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Answer:

V=5\sqrt{3}\ m^3

Step-by-step explanation:

we know that

The volume of a trough is equal to

V=BL

where

B is the area of equilateral triangle

L is the length of a trough

step 1

Find the area of  equilateral triangle B

The area of a equilateral triangle applying the law of sines is equal to

B=\frac{1}{2} b^{2} sin(60\°)

where

b=2\ m

sin(60\°)=\frac{\sqrt{3}}{2}

substitute

B=\frac{1}{2}(2)^{2} (\frac{\sqrt{3}}{2})

B=\sqrt{3}\ m^{2}

step 2

Find the volume of a trough

V=BL

we have

B=\sqrt{3}\ m^{2}

L=5\ m

substitute

V=(\sqrt{3})(5)

V=5\sqrt{3}\ m^3

3 0
3 years ago
Find the domain of the function:
makkiz [27]

Answer: OPTION C.

Step-by-step explanation:

1. The domain of the function given in the problem are all those values for which the function that is in the denomiantor is different from zero, because the division by 0 is not allowed.

2. You can make the denominator equal to zero and solve it, as you can see below:

x^{3}-2x^{2}+x=0\\x(x^{2}-2x+1)=0\\x(x-1)(x-1)=0\\x=0\\x=1

3. Therefore, the domain is:

(-∞,0)U(0,1)U(1,∞)

8 0
3 years ago
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2) A pair of jeans costs $80. The store is having a sale for 30% off. What would
Viefleur [7K]

Answer:

$56

Step-by-step explanation:

$80 x .3 = $24

$80 - $24 = $56

You can also do $80 x .7 = $56.

Hope that helps!

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3 years ago
Order these from greatest to least: 1/8; 0.14; 1/5; 13%
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1/5, 0.14, 13%, 1/8, it requires me to have more characters in the answer...
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Loretta invested $1000 in a simple interest account yielding 5% paid annually. In 2 years, she will have $1100 in her account. F
Vlad1618 [11]

Answer: $1100 will represent the amount after 2 years at the rate of 5%.

Step-by-step explanation:

Since we have given that

Principal amount = $1000

Rate of interest = 5%

Time period = 2 years

As we know the formula for "Simple Interest ":

Interest=\frac{P\times R\times T}{100}\\\\Interest=\frac{1000\times 5\times 2}{100}\\\\Interest=\$10

And we know that

Amount=Principal+Interest\\\\Amount=1000+100\\\\Amount=\$1100

So, $1100 will represent the amount after 2 years at the rate of 5%.

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