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3 years ago

I need help with the volume, tsa and x please

Mathematics

1 answer:

Marizza181 [45]3 years ago

4 0

Answer:

Volume = 42 units^2

x = 5 units

Total Surface Area = 96 units

Step-by-step explanation:

Volume

V = bh, where b = 1/2 * 3 * 4 and h = 7,

= 6 * 7 = 42 units^2

You can solve for this variable by using the pythagorean theorem;

a^2 + b^2 = c^2, where a = 3 and b = 4,

9 + 16 = x^2

= 25 = x^2

= x = 5 units

Total Surface Area

You can solve this by multiplying the perimeter of the base (3 + 4 + 5) by the height and adding that to two times the area of the base:

7 * (3 + 4 + 5) + 2(1/2*3*4)

= 7*12 + 12

= 96 units

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Explanation:
If you plug in the numbers 6= -3(-2)
That would equal 6 = 6

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3 years ago

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3 years ago

What is the rate of change for the linear function f(x)=-2x-5 over any interval?

julia-pushkina [17]

To solve this problem you must apply the proccedure shown below:

1. By definition, the rate of change of a linear function is the slope of the line and it is constant. Based on this, you must find the slope of the given function.

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3 years ago

What is the mean of Variable A? Express answer to one decimal place.

Juli2301 [7.4K]

Variable A - horizontal axis ⇒ x
Variable B - vertical axis ⇒ y

points (x, y)
A B
1) 2 , 2
2) 2 , 8
3) 4 , 3
4) 5 , 1
5) 6 , 3
6) 7 , 5
7) 8 , 6
8) 9 , 2

Mean of Variable A.
(2 + 2 + 4 + 5 + 6 + 7 + 8 + 9) ÷ 8 = 43 ÷ 8 = 5.375 OR 5.40

Mean is the average value of the data set. Add all the numbers in the data set and divide its sum by its count.

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3 years ago

There are 25 pens in a container on your desk. Among them, 20 will write well but 5 have defective ink cartridges. You will sele

n200080 [17]

Answer:

3.33% probability that both pens are defective.

Step-by-step explanation:

The pens are chosen without replacement, so we use the hypergeometric distribution to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

2 defective, so x = 2.

25 pens, so N = 25.

Two pens will be selected, so n = 2.

5 are defective, so k = 5.

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 2) = h(2,25,2,5) = \frac{C_{5,2}*C_{20,0}}{C_{25,2}} = 0.0333$

3.33% probability that both pens are defective.

5 0

3 years ago