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3 years ago

How much larger is 6" than 5 3/8"

1 answer:

8 0

We convert 5 3/8 to a mixed number and will be equal to 43/8 and 6/1 we multiply it by 48 to be 288/48 and 43/8 multiply numerator and denominator by 6 to get 258/48 and then we subtract we will get 5/8 which is 0.628 and that would be the answer.

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Find an expression which represents the sum of (-8x+7y)(−8x+7y) and (2x-2y)(2x−2y) in simplest terms.

Yakvenalex [24]

Answer:

(-8x+7y)(−8x+7y)+(2x-2y)(2x−2y)= simplified - 68x^2+53y^2−120xy

I hope this helps ! <3

Step-by-step explanation:

3 0

2 years ago

The tortoise and the hare are in a road race to defend the honor of their breed. the tortoise crawls the entire 1000. m distance

jolli1 [7]

<span>The tortoise crawls the whole 1000 m at 0.2 m/s, therefore, you must divide the distance by the rate of travel to find the time it took to complete the race. This gives us a time of 5,000 seconds to crawl the thousand meters. The hare runs the first 200 meters at 2 m/s, meaning that takes 100 seconds. The last 800 meters divided by the speed of 3 m/s gives us a time of 266 seconds. These two numbers must be added to the hare's rest time, converted from 1.3 hours into seconds by multiplying that number by 60 (for minutes in an hour) then 60 again (for seconds in a minute). 1.3 hours is equal to 4680 seconds. Therefore, the whole race took the hare 5,046 seconds, making it slightly slower than the hare, who finished in 5,000 seconds flat.</span>

5 0

3 years ago

The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m

Mazyrski [523]

Answer:

The probability that the instrument does not fail in an 8-hour shift is $P(X=0) \approx 0.8659$

The probability of at least 1 failure in a 24-hour day is $P(X\geq 1 )\approx 0.3508$

Step-by-step explanation:

The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:

$P(X)=\frac{e^{-\mu}\mu^x}{x!}$

Let X be the number of failures of a testing instrument.

We know that the mean $\mu = 0.018$ failures per hour.

(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:

For an 8-hour shift, the mean is $\mu=8\cdot 0.018=0.144$

$P(X=0)=\frac{e^{-0.144}0.144^0}{0!}\\\\P(X=0) \approx 0.8659$

(b) To find the probability of at least 1 failure in a 24-hour day, you need to:

For a 24-hour day, the mean is $\mu=24\cdot 0.018=0.432$

$P(X\geq 1 )=1-P(X=0)\\\\P(X\geq 1 )=1-\frac{e^{-0.432}0.432^0}{0!}\\\\P(X\geq 1 )\approx 0.3508$

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3 years ago

Find the measure of Angle C. thanks!!

spin [16.1K]

Answer:

Use the formula for the trapeze

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

find x. assume that segments that appear tangent are tangent. please help need answer and how to do it.

Pavlova-9 [17]

Triangle ABC is a right triangle, meaning we can use the Pythagorean Theorem to find x.
The formula for the Pythagorean Theorem is:
$a = \sqrt{ {b}^{2} + {c}^{2} }$
where a is the hypotenuse, and b and c are the legs.
In this problem, we have the vertical leg as 16, the horizontal leg as x, and the hypotenuse as 20. Therefore, we can say that
$a = 20 \\ b = 16 \\ c = x$
Therefore, we can plug into the formula to find x: $a = \sqrt{ {b}^{2} + {x}^{2} } \\ {a}^{2} = { \sqrt{ {b}^{2} + {x}^{2} } }^{2} \\ {a}^{2} = {b}^{2} + {x}^{2} \\ {a}^{2} - {b}^{2} = {x}^{2}$
We first change the variable c to x and square both sides of the equation. Then we subtract b^2 from both sides.
${x}^{2} = {a}^{2} - {b}^{2} \\ \sqrt{ {x}^{2} } = \sqrt{ {a}^{2} - {b}^{2} } \\ x = \sqrt{ {a}^{2} - {b}^{2} }$
We square root each side to find the variable answer for x. Then we plug in the numbers: $x = \sqrt{ {(20)}^{2} - {(16)}^{2} } \\ x = \sqrt{400 - 256} \\ x = \sqrt{144} \\ x = 12$
We find that x = 12. The answer is A. 12.

3 0

3 years ago