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3 years ago

Need help what are the classifications of each system

Mathematics

1 answer:

ratelena [41]3 years ago

5 0

You can graph them on Desmos, then use this attachment to find out the classification.

In the first system, they're the same line and have infinitely many solutions, therefore the answer is consistent, dependent.

In the second system, they're parallel lines with no solution, therefore the answer is inconsistent.

In the third system, they intersect and they have one solution, therefore the answer is consistent, independent.

In the fourth system, they're the same line and have infinitely many solutions, therefore the answer is consistent, dependent.

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The access code for a garage door consists of three digits. Each digit can be any number from 1 through 5, and each digit can b

Papessa [141]

Answer:

(a) 125

$(b) \dfrac{1}{125}$

$(c) \dfrac{124}{125}$

Step-by-step explanation:

We are given that access code consists of 3 digits.

Each digit can be any digit through 1 to 5 and can be repeated.

Now, this problem is equivalent to the problem that we have to find:

The number of 3 digit numbers that can be formed using the digits 1 to 5 with repetition allowed.

(a) We have 3 places here, unit's, ten's and hundred's places respectively and each of the 3 places have 5 possibilities (any digit allowed with repetition).

So, total number of access codes possible:

$5\times 5 \times 5 = 125$

(b) Suppose, an access code is randomly selected, what is the probability that it will be correct.

Formula for probability of an event E can be observed as:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, only 1 code is correct, so

Number of favorable cases = 1

Total number of cases = 125

So, required probability:

$P(E) = \dfrac{1}{125}$

$P(\overline E) = 1-P(E)\\\Rightarrow P(\overline E) = 1-\dfrac{1}{125}\\\Rightarrow P(\overline E) = \dfrac{125-1}{125}\\\Rightarrow P(\overline E) = \dfrac{124}{125}$

So, the answers are:

(a) 125

$(b) \dfrac{1}{125}$

$(c) \dfrac{124}{125}$

7 0

3 years ago

Plz awnser because Aleks is dumb

Black_prince [1.1K]

Since you know it's a square, you also know that all the sides are 3 2/3. So to find area you multiply, so 3 2/3 x 3 2/3. An easy way to do this is convert it to a mixed number (11/3) and then multiply:
11/3 x 11/3 = 121/9

8 0

3 years ago

alaska has a land area of about 1,700,000 square kliometers. florida has a land area .1 the size of alaska. what is the land are

kherson [118]

Given:
land area of Alaska: 1,700,000 square kilometers
land area of Florida: 0.10 of Alaska

To find the land area of Florida, we multiply its decimal to the land area of Alaska

1,700,000 sq. km * 0.10 = 170,000 square kilometers.

The land area of Florida is 170,000 square kilometers. It is equal to 0.10 or 10% of the land area of Alaska.<span />

8 0

3 years ago

Read 2 more answers

A website charges the same shipping fee on every order

Irina18 [472]

Answer:

. ....

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

A baseball collector took inventory of all of his baseball cards along with the value of each card. The box plot represents the

love history [14]

Answer: less than 25%

Step-by-step explanation:

The box plot can be read as follows:

The first black dot is the minimum value.

The first half of the rectangle is the lower quartile.

The line that separates the two rectangles is the median.

The second half of the rectangle is the upper quartile

The final point is the maximum.

Knowing that each quartile represents about the 25% of the elements for the set, we can see that both lower and upper quartile (and the 25% of the elements that come after the upper quartile) cost more than $45.

Then we know that at least the (25% + 25% + 25%) = 75% of the cards in the collection cost more than $45.

And we also have elements that are not in the lower quartile that cost more than $45, but we can not determine the percentage that they represent.

So we can only conclude that more than the 75% of the collection costs more than $45.

Now we want to know the percentage of the baseball cards valued at less than $45.

So if more than 75% is valued at more than $45.

Then less than 25% is valued at less than $25.

8 0

2 years ago