A letter in the word ACCEL is chosen. What is the theoretical probability of choosing a C?

Answers

Answer 1

Answer:

Answer:

there are 5 letters in all and 2 c's.. 2/5 2 out of every 5 times

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Find x
(4x - 3) – ( x + 5) = 3(10 - x)
please.....

Answers

Answer: 19/3

Step-by-step explanation:

$4x+3-x-5=30-3x\n\n3x-8=30-3x\n\n6x-8=30\n\n6x=38\n\nx=(19)/(3)$

The larger leg of a right triangle is 3cm longer than its smaller leg. The hypotenuse is 6cm longer than the smaller leg. how many centimeters long is the smaller leg please explain how you got it

Answers

$b=a+3\n c=a+6\n a^2+b^2=c^2\n\n a^2+(a+3)^2=(a+6)^2\n a^2+a^2+6a+9=a^2+12a+36\n a^2-6a-27=0\n a^2-9a+3a-27=0\n a(a-9)+3(a-9)=0\n (a+3)(a-9)=0\n a=-3 \vee a=9\n$

The length can't be negative, so the answer is 9 cm.

Let the smaller leg be x.

Thus, larger leg = 3 +x
Thus, hypotenuse = 6 + x

Applying pythagoras theorum ;

$(6+x)^2 = x^2 + (3+x)^2 \n \n or, 6^2 + 12x + x^2 = 3^2 + 6x + x^2 \n \n i.e., 36 + 12x = 9 + 6x \n \n =>6x = 45 \n \n => x = 9$

Thus, the length of smaller peg is 9 cm.

when a measurement in inches is converted to centimeters, will the number of centimeters be greater or less than the number of inches? Explain

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greater because a centimeter is smaller than an inch.

Find the amplitude, period, and phase shift of the function defined by:
y=3-2cos(3x+pi)

Answers

This is a sinusoidal wave with an amplitude of 2 , riding on a constant value of 3 .
The 3 isn't part of the function's amplitude ... the function wiggles between 2 under it
and 2 over it.

The period of the function is the change in 'x' that adds (2 pi) to the angle.

When x=0, the angle is pi

When the angle is (3 pi) . . .

3 pi = 3x + pi
2 pi = 3x
x = 2/3 pi The period of the function is 2/3 pi .

When x=0, the function is cos(pi) rather than cos(0).
So the function is a cosine with a phase shift of +pi.
It could also be described as a sine with a phase shift of -pi/2 or +3pi/2 .

What is the slope of the
points (4, -2) and (-4, -4)?

Answers

Answer:

= 1/4

Step-by-step explanation:

We can find the slope given two points by using the following formula

m = (y2-y1)/(x2-x1)

= (-4 - -2)/(-4 -4)

= (-4+2)/(-4-4)

= -2/-8

= 1/4

Answer:

I think the slope is 1/4

Step-by-step explanation:

if you use the slope equation y1-y2/x1-x2, then you get (-2 - -4)/(4 - -4), which is 2/8, which is 1/4

Complete the equation a^1/2×a___=a

Answers

When adding functions with the same base you simply add the exponents so:
$a^(1/2)*a^(x) = a^(1)$
$(1)/(2)+x = 1$
$x = (1)/(2)$

Thus to finish the equation you would say $a^(1/2)$

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