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lilavasa [31]
3 years ago
14

Read the following word phrases and select the correct algebraic expression.

Mathematics
1 answer:
eimsori [14]3 years ago
5 0

Answer:

  • Division
  • Multiplication

Step-by-step explanation:

4.3 split into a certain equal number  

  • This is ÷ mark, split means division

The product of -0.003 and a number

  • This is × mark, product means multiplication
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dexar [7]
Keep change flip that's all you gat to do
5 0
4 years ago
Find a1, for the given geometric series. Round to the nearest hundredth if necessary. Sn= 86,830, r= 2.2, n=4
larisa86 [58]

Answer:

4,646.30

Step-by-step explanation:

The sum of n terms of geometric sequence can be calculated using formula

S_n=\dfrac{a_1(1-r^n)}{1-r}

In your case,

S_n=86,830\\ \\r=2.2\\ \\n=4\\ \\a_1=?

Substitute into the formula:

S_4=\dfrac{a_1(1-2.2^4)}{1-2.2}\\ \\86,830=\dfrac{a_1(1-23.4256)}{-1.2}\\ \\-104,196=a_1(-22.4256)\\ \\22.4256a_1=104,196\\ \\a_1=\dfrac{104,196}{22.4256}\approx 4,646.30

5 0
4 years ago
How many lines of symmetry does a isosceles trapezoid have? Guys sorry for disturbing and thanks for help!!
Rus_ich [418]

One line of symmetry an isosceles trapezoid has
6 0
3 years ago
Read 2 more answers
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
3 years ago
Find the number if 5/6 of it is 55.
kow [346]

Answer:

The unknown number is 66.

Step-by-step explanation:

We know that we need to find the number that is 55 when calculated as 5/6 or the whole number. First, we must divide 55 by 5.

55 ÷ 5 = 11

This means that 1/6 of the unknown number is 11.

Now, let's multiply 11 by 6.

11 x 6 = 66

Therefore, the unknown number is 66.

Hope this helps! :)

6 0
3 years ago
Read 2 more answers
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