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2 years ago

Instructions: Find the missing length indicated. 400 144 X

Mathematics

1 answer:

Zarrin [17]2 years ago

4 0

The missing side of a right triangle x is 24 units.

<h3>How to find side of a right angle triangle?</h3>

A right triangle has one of its angles as 90 degrees. The side of a right angle triangle can be found using trigonometric ratios.

The side x can be found using similar triangle ratios,

Hence,

x / 400 = 144 / x

cross multiply

x × x = 400 × 144

x² = 57600

square root both sides

√x² = √57600

x = 240

Therefore, the value of x in the right triangle is 240 units.

learn more on right triangle here: brainly.com/question/14324872

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What is 3x-2y=24 in slope intercept form??

elixir [45]

Answer: 3x-2y=24 in slope intercept form is $y=\frac{2}{3}x -12$

The graph of the equation is in the attachment

Step-by-step explanation: Slope intercept form is y = mx + b

m is the slope b is the y-intercept x is the "input" in the equation y is the "output" or the y-value in the graph for a given x-value.

You need to rearrange the standard form to slope-intercept to isolate y on the left side of the equation.

3x - 2y = 24 Standard form. Subtract 3x from both sides.

-2y = -3x + 24 divide both sides by -2

-2y/-2 = -3x/-2 + 24/-2 . Simplify.

y = 3x/2 - 12 .

To clarify the slope as a fraction

$y=\frac{2}{3}x -12$

4 0

2 years ago

A stadium has 49000 seats. Seats sell for $25 in section A, $20 in section B, and $15 in section C. The number of seats in secti

eimsori [14]

Answer:

A stadium has 49000 seats.

Seats sell for $25 in Section A, z

$20 in Section B,-------------------x seats

$15 in Section C. ------------------y seats

(x+y)=z

25(x+y)+20x+15y=1052000

25x+25y+20x+15y=1052000

45x+40y=1052000

9x+8y=210400------------------1

2x+2y=49000

Step-by-step explanation:

4 0

3 years ago

Let X1 and X2 be two random variables following Binomial distribution Bin(n1,p) and Bin(n2,p), respectively. Assume that X1 and

ryzh [129]

Answer:

a) X1+X2 have distribution Bi(n1+n2, p)

P(X1+X2 = 1 | X2 = 0) = np(1-p)ⁿ¹⁻¹

P(X1+X2 = 1| X2 = 1) = (1-p)ⁿ¹

P(X1 + X2 = 1) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹

Step-by-step explanation:

Since both variables are independent but they have the same probability parameter, you can interpret that like if the experiment that models each try in both variables is the same. When you sum both random variables toguether, what you obtain as a result is the total amount of success in n1+n2 tries of the same experiment, thus X1+X2 have distribution Bi(n1+n2, p).

Note that, if X2 = k, then X1+X2 = 1 is equivalent to X1 = 1-k. Since X1 and X2 are independent, then P(X1+X2 = 1| X2 = K) = P(X1=1-k|X2=k) = P(X1 = 1-k).

If k = 0, then this probability is equal to P(X1 = 1) = np(1-p)ⁿ¹⁻¹

If k = 1, then it is equal to P(X1 = 0) = (1-p)ⁿ¹

Thus,

P(X1+X2 = 1) = P(X1+X2 = 1| X2 = 1) * P(X2=1) + P(X1+X2 = 1| X2 = 0) * P(X2 = 0) = (1-p)ⁿ¹ * np(1-p)ⁿ²⁻¹+ (1-p)ⁿ²*np(1-p)ⁿ¹-¹

4 0

3 years ago

What is (40x33)+(4)x4??<br> Good luck

MrRa [10]

Answer:

1336

PLZ let me know if im wrong!!!

5 0

2 years ago

There are 60 minutes in one hour and

ch4aika [34]

Answer:

20m/h is equal to 29.33ft/s

3 0

2 years ago