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Studentka2010 [4]
3 years ago
11

what is the width of a rectangular prism that has a volume of 138.24 cubic inches, a height of 9.6 inches, and a length of 3.2 i

nches? Round to the nearest tenth.
Mathematics
1 answer:
e-lub [12.9K]3 years ago
6 0

Answer:

18 square inches.

Step-by-step explanation:

If the volume V = 144 cubic inches, and V = length*width*height,

then 144 cubic inches = length*width*8 inches

and length*width = 144/8 square inches = 18 square inches.

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Find the distance between the points given. (-3, -4) and (0, 0)
melomori [17]
The distance between the points is 5
8 0
3 years ago
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a line is perpendicular to y=-2x+5 and intersects the point (-4,2). what is the equation of this perpendicular line?
german

Answer:

y = 1/2x + 4

Step-by-step explanation:

If the line is perpendicular to y = -2x + 5 then the new line has a slope of 1/2.

So solve for b: using y = mx + b

2 = 1/2(-4) + b

2 = -2 + b

4 = b

Put it all together

y = 1/2x + 4

6 0
2 years ago
Does square root of 162 = square root of 81 and square root of 81 added
madam [21]
No.
.. √162 = (√2)*(√81)
.. √81 +√81 = 2√81 = √324

Square root is a non-linear function. sqrt(a +b) ≠ sqrt(a) +sqrt(b)
5 0
3 years ago
According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries
blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

5.1% of burglaries are cleared with arrests.

This means that p = 0.051

A new detective is assigned to six different burglaries.

This means that n = 6

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

P(X = 0) + P(X \geq 1) = 1

We want P(X \geq 1)

Then

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695

26.95% probability that at least one of them is cleared with an arrest

8 0
2 years ago
PLS HELP THIS IS LAST OF MY POINTS AND RUNNING OUT OF TIME. ANSWER ONLY IF U KNOW MATH.
ipn [44]

Answer:

using y=mx +c

c=0

m=y2-y2/x2-x1

m=16-0/2-0

m=8

y=8x+0

y=8x

hope that helped

if yes give me brainliest and if no draw my attention by hitting the comment section

7 0
2 years ago
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