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4 years ago

Solve the System x/3 + 4y/3=100 & 3x-4y=100

Mathematics

1 answer:

fenix001 [56]4 years ago

8 0

Can you write it out and send a picture?

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A defunct website listed the "average" annual income for Florida as $35,031. What is the role of the term average in statisti

ahrayia [7]

Answer:

For this case the average is an statistic unbiased for the population parameter $\mu$

And the average is calculated with the following formula:

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

Where n represent the sample size

N represent the population size, and X the observations for this case the annual income.

This statistic is an unbiased estimator of the population mean since $E(\bar X) = \mu$

After calculate the average they got:

$\bar X= 35031$

And we can use the term "sample mean" instead of the average, and is a measure of central tendency for the data

Step-by-step explanation:

For this case the average is an statistic unbiased for the population parameter $\mu$

And the average is calculated with the following formula:

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

Where n represent the sample size

N represent the population size, and X the observations for this case the annual income.

This statistic is an unbiased estimator of the population mean since $E(\bar X) = \mu$

After calculate the average they got:

$\bar X= 35031$

And we can use the term "sample mean" instead of the average, and is a measure of central tendency for the data

6 0

4 years ago

Work out the size of angle A

TEA [102]

Answer:

The measure of A is 93

Step-by-step explanation:

Here, we want to get the measure of angle A

we can start by getting the measure of angle C

Mathematically, we can use sine rule

It states that the ratio of the length of a side of a triangle and the sine of the angle it faces is constant

So to get C, we have the following;

9/sin 38 = 11/sin C

sin C = 11sin 38/9

sin C = 0.7525

C = sin^-1(0.7525)

C = 48.80

This is approximately 49

To get A,

we know that if we added the measure of interior angles of a triangle, the addition is 180 degrees

Thus, we have it that:

38 + 49 + A = 180

A = 180-38-49

A = 93

6 0

3 years ago

A water tank is 5/6 full. When 30 litres of water are removed from the tank, the tank is 4/5 full. How much water does the tank

Archy [21]

Answer:

900 L

Step-by-step explanation:

Let x be the number of litres when the tank is full.

Then 5/6 x - 30 = 4/5 x

Solve this by converting to /30:

25/30 x - 30 = 24/30 x

1/30 x = 30

x = 30*30 = 900

6 0

3 years ago

(LOOK AT IMAGE)

ddd [48]

Answer: 9

Step-by-step explanation:

The interior angle of the 8-sided polygon is

$\frac{180(8-2)}{8}=135^{\circ}$

The interior angle of the 10-sided polygon is

$\frac{180(10-2)}{10}=144^{\circ}$

Taking the difference, we get $b=9^{\circ}$

8 0

2 years ago

2x – 3y = 18<br> Solve for y.

Nataly [62]

Answer:

y= -6+2/3x

Step-by-step explanation:

2x-3y=18

Minus the 2x from both sides

-3y=18-2x

Then divide both sides by -1

-3y÷-1=18÷-1 -2x÷-1

Lastly divide both sides by 3

3y÷3= -18÷3+2x÷3

7 0

3 years ago