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uranmaximum [27]

2 years ago

11

The augmented matrix of a consistent system of five equa- tions in seven unknowns has rank equal to three. How many parameters a

re needed to specify all solutions?

1 answer:

dangina [55]2 years ago

5 0

Answer:

It is necessary four parameters.

Step-by-step explanation:

Since the augmented matrix of the consistent system has rank equal to three then the number of free variables is (number of unknows)-rank then there are 7-3=4 free variables. This means that are necessary four parameter to specify all solutions.

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in a wood there are 420 silver birch trees, 160 oak tees and 300 wild cherry trees. what is the percentage of the oak trees give

elena-14-01-66 [18.8K]

Answer:

18.2%

Step-by-step explanation:

The total number of trees in the wood = 420 + 160 + 300

= 880 trees

∴ The percentage of the oak trees = $\frac{160}{880} * \frac{100}{1}$

= $\frac{2 * 100}{11}$ %

= $\frac{200}{11}$ %

= 18.181818...%

In 1 decimal place = 18.2%

Hope this helps!!

8 0

2 years ago

100% probability. the probability of an event is 1 (or 100%) if and only if the event can never occur.

Ierofanga [76]

True us the answer too your question.

8 0

3 years ago

Katerina is a botanist studying the production of pears by two types of pear trees. she noticed that Type A trees produced 20 pe

Ronch [10]

Answer:

120 pears

Step-by-step explanation:

Let the number of pears produced by Type B be x

Number of pears produced by type A=144

According to question

Type A produce 20% more pears than B

x+ x ×20%= 144

x+x× $\frac{20}{100}$ = 144

$\frac{100x+20x}{100}$ = 144

$\frac{120x}{100}$ =144

x= 144× $\frac{100}{120}$

x=120 pears

Hence, Number of pears produced by B= 120 pears

Hence, the correct answer is 120 pears

5 0

2 years ago

The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of

weqwewe [10]

Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of D is five-halves the measure of Y. Find the measure of each angle of the deck.

Answer:

$\angle G = \angle Y = 51.43 ^{\circ}$

$\angle D = \angle R = 128.57 ^{\circ}$

Step-by-step explanation:

Given

Shape: Parallelogram DGRY

Dimension: $\angle D = \frac{5}{2}\angle Y$

Required

Find the measure of each angle

D and R are opposite sides & G and Y are also opposite sides.

So, we have:

$\angle D = \angle R = \frac{5}{2}\angle Y$

and

$\angle G = \angle Y$

The sum of angles is given as:

$\angle D + \angle G + \angle R + \angle Y=360^{\circ}$

Substitute values for $\angle D, \angle G \ \& \angle R$

$\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}$

Take LCM

$\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}$

$\frac{14\angle Y}{2}= 360^{\circ}$

Multiply both sides by $\frac{2}{14}$

$\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}$

$\angle Y= 360^{\circ} * \frac{2}{14}$

$\angle Y= \frac{ 360^{\circ} *2}{14}$

$\angle Y= \frac{720^{\circ}}{14}$

$\angle Y= 51.43 ^{\circ}$

So:

$\angle G = \angle Y = 51.43 ^{\circ}$

$\angle D = \frac{5}{2}\angle Y$

$\angle D = \frac{5}{2} * 51.43^{\circ}$

$\angle D = \frac{5* 51.43^{\circ}}{2}$

$\angle D = \frac{257.15^{\circ}}{2}$

$\angle D = 128.57 ^{\circ}$

Hence:

$\angle D = \angle R = 128.57 ^{\circ}$

8 0

2 years ago

find two numbers that equal 11,000 when added together, but also equal 3,000 when subtracted from each other

amm1812

Answer:

4000 and 7000

Step-by-step explanation:

8 0

2 years ago