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2 years ago

What is the distance between the coordinates (5,5) and (7,2)? Round your

Mathematics

2 answers:

sergey [27]2 years ago

4 0

Answer:

3.61 Units

Step-by-step explanation:

Zarrin [17]2 years ago

4 0

Answer:

D = 3.6

Step-by-step explanation:

Distance Formula = $\sqrt{(x2-x1)^2+(y2-y1)^2}$

D = $\sqrt{(7-5)^2+(2-5)^2}$

D = $\sqrt{(2)^2+(-3)^2}$

D = $\sqrt{4+9}$

D = $\sqrt{13}$

D = 3.6

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Find the size of the angle <br> 3<br> x<br> .

AlexFokin [52]

Answer:

Given - Two angles measures 2x and 3x

To find - size of 3x

Solution -

2x + 3x = 360° ( Make reflex angle )

5x = 360°

x = 360/5

x = 72°

3x = 3 * 72 = 216°

8 0

2 years ago

Suppose a bag contains many marbles, 54% of which are purple. You draw 5 marbles from the bag with replacement.

dolphi86 [110]

Part A

Use the binomial probability distribution formula.

p = 0.54 = probability of getting a purple marble

n = 5 = sample size

x = 2 = number of purple we want to get

$P(x) = \frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}\\\\P(2) = \frac{5!}{2!(5-2)!}*0.54^2*(1-0.54)^{5-2}\\\\P(2) = 10*0.54^2*0.46^3\\\\P(2) = 0.283831776\\\\$

The $\frac{n!}{x!(n-x)!}$ portion is from the nCr combination formula. The exclamation marks indicate a factorial.

Alternatively, you could use Pascal's Triangle for that portion.

<h3>Answer: 0.283831776</h3>

This decimal value is exact. Round it however you need to.

============================================================

Part B

To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.

n*p = 5*0.54 = 2.7

<h3>Answer: 2.7</h3>

6 0

1 year ago

Walt is mixing fruit punch for a party. He combines 1 gallon 2 quarts 3 pints of orange juice,1 gallon 3 quarts 7 pints of pinea

Ann [662]

6.625 Gallons, 26.5 Quarts, or 53 Pints this is the answer

8 0

2 years ago

On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, ne

Mrrafil [7]

<h3>Answer: Choice C. (1,0)</h3>

============================================================

Explanation:

Point H is at (-2,2) and J is at (4,-2)

Focusing on the x coordinates, the midpoint is (x1+x2)/2 = (-2+4)/2 = 1.

The y coordinates have a midpoint of (y1+y2)/2 = (2+(-2))/2 = 0.

The midpoint is at (1,0). That's why the answer is choice C.

--------------------------

This next section is optional.

Points I and K are located at (4,3) and (-2,-3) respectively

Averaging the x coordinates gets us (x1+x2)/2 = (4+(-2))/2 = 1

Doing the same for the y coordinates gets us (y1+y2)/2 = (3+(-3))/2 = 0

We end up with the same midpoint (1,0)

The midpoint being the same for both diagonals proves that each diagonal is bisected, ie cut in half.

3 0

2 years ago

If the length of side a is 12 centimeters, m∠B = 36°, and m∠C = 75°, what is the length of side b? Round your response to two de

Alex73 [517]

The length of b<span> is determined to be 7.56 centimeters.

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5 0

3 years ago