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3 years ago

Is -2/3 a rational number

Mathematics

2 answers:

Gelneren [198K]3 years ago

7 0

Answer:

yes it is rational, as it can be expressed in the form p/q where p=-2 and q=3

Step-by-step explanation:

kondor19780726 [428]3 years ago

3 0

Answer:

A number with no fractional parts is a rational number.

-2/3 is 0.666... converted to a decimal.

So, the answer is no, it is not a decimal.

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Fiesta28 [93]

Answer:

the angle is 90 degrees

Step-by-step explanation:

its asking you for the angle

6 0

3 years ago

Human visual inspection of solder joints on printed circuit boards can be very subjective. Part of the problem stems from the nu

olga_2 [115]

Answer:

The probability that the selected joint was judged to be defective by neither of the two inspectors is $P(A' n B' ) = 0.8855$

The probability that the selected joint was judged to be defective by inspector B but not by inspector A is $P(A' n B) =0.0403$

Step-by-step explanation:

From the question we are told that

The sample size is $n_s = 10000$

The number of outcome for inspector A is $n__{A}} = 742$

The number of outcome for inspector B is $n__{B}} = 745$

The number of joints judged defective by both inspector is $n(A u B) = 1145$

The the probability that the selected joint was judged to be defective by neither of the two inspectors is mathematically represented as

$P(A' n B' ) = 1 - P(A u B)$

Now

$P(A\ u \ B) = \frac{n(Au B)}{n_s }$

substituting values

$P(A\ u \ B) = \frac{1145}{ 10 000 }$

$P(A' n B' ) = 1 - \frac{1145}{10 000}$

$P(A' n B' ) = 0.8855$

the probability that the selected joint was judged to be defective by inspector B but not by inspector A is mathematically represented as

$P(A' n B) = P(A \ u \ B) -P(A)$

Now

$P(A) = \frac{n__{A}}{n_s}$

substituting values

$P(A) = \frac{742}{10 000}$

$P(A' n B) = \frac{1145}{10 000} - \frac{742}{10 000}$

$P(A' n B) =0.0403$

7 0

3 years ago

The number of oranges purchased varies directly as the price of the oranges. If 11 oranges cost $2.35, what is the cost of 18 or

lara31 [8.8K]

Answer:

If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.

Step-by-step explanation:

We have,

The number of oranges purchased varies directly as the price of the oranges.

If the cost of 11 oranges is $2.35.

It is required to find the cost of 18 oranges.

As their is direct relation between number and oranges and price.

So,

The cost of 1 orange is $ $\dfrac{2.35}{11}$ .

For finding the cost of 18 oranges, multiply 18 by $ $\dfrac{2.35}{11}$ such that,

$C=18\times \dfrac{2.35}{11}\\\\C=3.84$

So, If 11 oranges cost $2.35, then the cost of 18 oranges is $3.84.

4 0

3 years ago

By which rule are these triangles congruent?<br> A) AAS <br> B) ASA <br> C) SAS <br> D) SSS

Veronika [31]

Answer:

the answer is c)SAS

Step-by-step explanation:

as the sides are already given and and both angles will be equal as vertically opposite angles (VOA)are always equal.

3 0

3 years ago

Eight subtracted from 4 times a number is equal to 4 less than 6 times the number.

butalik [34]

$8-4 \cdot x=4-6\cdot x \\\\ 8-4x=4-6x \\\\ -4x+6x=4-8 \\\\ 2x=-4 \ \ \ |:2 \\\\ \boxed{x=-2}$

5 0

2 years ago