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3 years ago

A right rectangular prism has a volume of

Mathematics

1 answer:

777dan777 [17]3 years ago

4 0

Answer:

3x, 2x + 5, and x - 3

Step-by-step explanation:

Since the given figure is a 3-dimensional shape, we know that there must be three zeroes.

Our equation is:

6x³ - 3x² - 45x

First, we can factor out an x:

x (6x² - 3x - 45)

From here, we can see that by factoring out a 3:

3x (2x² - x - 15)

Now, after completing the square and factoring:

3x (2x + 5) (x - 3)

These are our three expressions.

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A town recently dismissed 9 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of ag

raketka [301]

Answer: 0.1340

Step-by-step explanation:

The binomial distribution formula is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of x successes out of n trials, p is the probability of success on a particular trial.

Given : The number of employees over 50 years of age =7

The probability of employees over 50 years of age = $\dfrac{7}{7+15}=0.318$

Number of dismissed employees : n= 9

Now, the required probability will be :

$P(x =1)=^{9}C_1(0.318)^{1}(1-0.318)^{9-1}\\\\=(9)(0.318)(1-0.318)^{8}=0.133950588714\approx0.1340$

Thus, the probability that exactly 1 employee was over 50 = 0.1340

3 0

3 years ago

A candy bar box is in the shape of a triangular prism the volume of the box is 2400 cubic centimeters part A: what is the height

Whitepunk [10]

The volume of a triangular prism is the "area of a triangle" times the "thickness."
The area of a triangle is (base times height) over 2.
V = ((b*h)/2)*T
Given V = 2400 cu. cm, b = 16 cm, T = 20 cm, and h is unknown,
h = (2V)/(bL) = (2*2400)/(16*20) = 15 cm

Note that the given 17 cm in the picture is useless.

3 0

3 years ago

Which set or ordered pairs represents y as a unction Or X!

Zepler [3.9K]

A relation is said to be a function when every element in the domain has one and only one distinct image in the co- domain.

In the first three options , one single element in domain has more than one image.

(-2,3), (-2, 2), (-2, 1), (-2, 0)

here -2 as an element in the domain has 3,2,1,0 has image-----> so not a function

(10, 15), (5, 1), (10, 6), (6, 10)

Here 10 , an element in the domain has 15,6 as image-----> so not a function

(-11, 2), (3,8), (3, 2), (2, 2)

Here 3, as an element in the domain has 8 and 2 as image-----> so not a function

So, OPTION D

(1,6), (2, 5), (10, 5), (-17, 8)

7 0

2 years ago

Helpppppppppppppppppp

harkovskaia [24]

Answer:

Answer choice B

Step-by-step explanation:

When you factor the equation, 12 only has 6x2 to equal the -12x. This means that you'll factor it into (3x-6)(x-2). When you set either of these equal to 0, the x value is 2.

8 0

3 years ago

The value of 2x + 2y, for x = 7 and y = 3, is 50.<br><br> True<br> False

Lilit [14]

2x+2y =50
2(7)+ 2(3)=50
14+6 =50
20=/=50

This is false because when you substitute the variables with their numbers and then multiply and add, your answer does not equal 50

5 0

3 years ago

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