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3 years ago

How many solutions does the following equation have?

Mathematics

1 answer:

Tom [10]3 years ago

3 0

Answer:

Answer choice D, Infinitely many solutions.

Step-by-step explanation:

6x-24=6x-24

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A rectangle is 14 inches long and 4 inches wide. A smaller, similar rectangle is 2 inches wide. To the nearest inch, what is the

const2013 [10]

Answer:

7 inches

Step-by-step explanation:

The ratio of width to length of the known rectangle is 4 : 14 and this simplifies to 2 : 7.

The smaller similar rectangle will have the same ratio of 2 :7.

This can also be looked at another way. The second value in the ratio is 7/2 of the first value in the ratio and the first value is 2/7 of the second value.

Example:

7/2 * 2 = 7

Example:

2/7 * 7 = 2

8 0

3 years ago

Find the distance between (-1,-2) and (8,9)

Rom4ik [11]

Answer:

$\sqrt{202}$ units or 14.2 units (rounded to the nearest tenth)

Step-by-step explanation:

To find the distance between a pair of two points, use the distance formula $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ . Substitute the x and y values of (-1,-2) and (8,9) into the formula and simplify:

$d = \sqrt{(-1-8)^2+(-2-9)^2} \\d = \sqrt{(-9)^2+(-11)^2} \\d = \sqrt{81+121} \\d= \sqrt{202}$

So, as an exact answer, the distance is $\sqrt{202}$ units.

(To find the decimal approximate of that answer, enter it into a calculator. This would make the decimal approximate 14.2 units, when rounded to the nearest tenth.)

7 0

3 years ago

Read 2 more answers

4.) The time X (minutes) for a lab assistant to prepare the equipment for a certain experiment is believed to have a uniform dis

Jet001 [13]

Answer:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

And using the cumulative distribution function we got:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

The probability that preparation is within 2 minutes of the mean time is 0.134

Step-by-step explanation:

For this case we define the following random variable X= (minutes) for a lab assistant to prepare the equipment for a certain experiment , and the distribution for X is given by:

$X \sim Unif (a= 20, b =50)$

The cumulative distribution function is given by:

$F(x) = \frac{x-a}{b-a} , a \leq X \leq b$

The expected value is given by:

$E(X) = \frac{a+b}{2} = \frac{20+50}{2}=35$

And we want to find the following probability:

$P(35-2 < X 35+2) = P(33< X< 37)$

And we can find this probability on this way:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

And using the cumulative distribution function we got:

$P(35-2 < X 35+2) = P(33< X< 37)= P(X$

The probability that preparation is within 2 minutes of the mean time is 0.134

8 0

3 years ago

What is the purpose of properties? for math<br><br><br> 20 points HELP ASAP!!!!!!!!

iren [92.7K]

Answer:

Remembering the properties of numbers is important because you use them consistently in pre-calculus. The properties aren't often used by name in pre-calculus, but you're supposed to know when you need to utilize them.

6 0

2 years ago

Haley who is 5ft tall, is flying a kite on 100ft of string how high is the kite

iris [78.8K]

The kite is 105 feet in the air

5 0

2 years ago

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