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3 years ago

40-50-60Work out2 × 1/7 -1 2/5Give your answer in its simplest form.

Mathematics

1 answer:

MAVERICK [17]3 years ago

5 0

Answer:

the simplest form of the given expression is $-1\frac{4}{35}$

Step-by-step explanation:

Given;

$2 \times \frac{1}{7} - 1\frac{2}{5}$

The above expression can be simplified as follows;

$2 \times \frac{1}{7} - 1\frac{2}{5} \\\\=\frac{2}{7} - \frac{7}{5} \\\\= l.c.m \ of \ 7 \ and \ 5 \ is \ 35\\\\= \frac{5(2) - 7(7)}{35} \\\\= \frac{10 - 49}{35} \\\\= -\frac{39}{35} \\\\= - 1\frac{4}{35}$

Therefore, the simplest form of the given expression is $-1\frac{4}{35}$

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Find the area of equilateral triangle with side a.

marishachu [46]

Answer:

$\frac{\sqrt{3} }{4} a^2$

Step-by-step explanation:

To find the area of an equilateral triangle, we can apply a formula.

$A=\frac{\sqrt{3} }{4} s^2$

$A= area\\s=side \: length$

The side length is given a.

Plug a in the formula as the side length.

$A=\frac{\sqrt{3} }{4} a^2$

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3 years ago

A vehicle arriving at an intersection can turn right, turn left, or continue straight ahead. The experiment consists of observin

Temka [501]

Answer:

a) Sample space (S) = {TR, TL, Cs}

b) Pr(Vehicle Turns) = 2/3.

Step-by-step explanation:

a) By sample space (S) we mean the list all possible outcome of an event. From the illustration in the question, only three (3) outcome is possible:

i) Vehicle Turn Right (TR)

ii) Vehicle Turn Left (TL)

iii) Continue Straight ahead (Cs)

And since the experiment consists of observing the movement of a single vehicle through the intersection, then, the sample space (S) is:

==> {TR, TL, Cs}

b) Since we are assuming that all sample points are equally likely, it imply that they have equal probability of occurring. And by probability:

Pr(TR) = 1/3

Pr(TL) = 1/3

Pr(Cs) = 1/3

Meanwhile, the question wants us to find the probability that the vehicle turns. This means, the vehicle turning either right or left. Thus;

Pr(vehicle turns) = Pr(TR) or Pr(TL) = Pr(TR) + Pr(TL)

Pr(vehicle turns) = (1/3) + (1/3) = 2/3

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3 years ago

PLEASE HELp!

NISA [10]

Answer:

B. 37

Step-by-step explanation:

You first find the median of the entire set which is 46. Then find the median of the lower half of the set which is 27. Then find the median of higher part of the data set which is 64. Then you do 64-27=37.

Hope that helped a little bit :)

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4 years ago

A distance AB is observed repeatedly using the same equipment and procedures, and the results, in meters, are listed below: 67.4

skad [1K]

Answer:

a) $\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

b) The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

Step-by-step explanation:

For this case we have the following dataset:

67.401, 67.400, 67.402, 67.396, 67.406, 67.401, 67.396, 67.401, 67.405, and 67.404

Part a: Determine the most probable value.

For this case the most probably value would be the sample mean given by this formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got:

$\bar X =\frac{67.401+67.400+67.402+67.396+67.406+67.401+67.396+67.401+67.405+67.404}{10}=67.401$

Part b: Determine the standard deviation

The sample deviation is calculated from the following formula:

$s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And for this case after replace the values and with the sample mean already calculated we got:

$s=0.0036$

If we assume that the data represent a population then the standard deviation would be given by:

$\sigma=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n}}$

And then the deviation would be:

$\sigma =0.00319$

3 0

4 years ago

40-50-60Work out2 × 1/7 -1 2/5Give your answer in its simplest form.​

40-50-60Work out2 × 1/7 -1 2/5Give your answer in its simplest form.