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ikadub [295]
2 years ago
10

Which cannot be a value of 0 ? Help pls

Mathematics
1 answer:
Rasek [7]2 years ago
5 0

Answer:

B.

Step-by-step explanation:

Since i is in the denominator, if i = 0, then the result will be undefined. Therefore, B cannot be a value of θ.

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an artificial lake is in the shape of a rectangle and has an area of 9/20 square mile. the width of the lake is 1/5 the length o
Gnom [1K]
X=length
y=width
Area (rectangle)=length x width
we suggest this system of  equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2   it does not validate
x₂=3/2    ⇒y=x/5=(3/2)/5=3/10

The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles

to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒  3/10 miles=(3/2) /5 miles

7 0
3 years ago
It takes 120 unit cubes to completely fill a rectangular prism. the prism is 10 units cubes high
love history [14]

Answer:

<u>12</u>

Step-by-step explanation:

Well, I am pretty sure you are looking for the length.

Since area = length x width, I would say that you could divide as well.

120 = 10 x <u>12</u>

I am pretty sure the length is <u>12.</u>

<u></u>

:)

4 0
2 years ago
A square pyramid has a surface area of 175 square inches. the square base has side lengths of 5 inches. find the slant height of
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4k 4 4 or my dhmxd.uu.cdul,dyulf
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Rachel bought 48 ounces of nuts. how much is this in pounds
lyudmila [28]
The answer is 3 pounds
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8 0
3 years ago
Read 2 more answers
A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 8 insects is exposed to the insecticide in
xeze [42]

Answer:

19.77% probability that exactly one insect will survive

Step-by-step explanation:

For each insect, there are only two possible outcomes. Either they survive, or they do not. The probability of an insect surviving is independent of other insects. 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.

A certain insecticide kills 70% of all insects in laboratory experiments

So 100 - 70 = 30% survive, which means that p = 0.3

A sample of 8 insects is exposed to the insecticide in a particular experiment.

This means that n = 8

What is the probability that exactly one insect will survive?

This is P(X = 1).

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

P(X = 1) = C_{8,1}.(0.3)^{1}.(0.7)^{7} = 0.1977

19.77% probability that exactly one insect will survive

6 0
3 years ago
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