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3 years ago

- (For 10 points!)

Mathematics

2 answers:

katrin [286]3 years ago

7 0

Answer:

The probability of picking 1 red candle followed by another red candle is 16.66%.

Step-by-step explanation:

Since Alfred draws candles randomly from a pack containing 4 colored candles of the same shape and size, and there are 2 red candles, 1 green candle, and 1 blue candle, and he draws 1 candle and then draws another candle without replacing the first one, to find the probability of picking 1 red candle followed by another red candle, the following calculation must be performed:

2/4 x 1/3 = X

0.5 x 0.333 = X

0.16666 = X

Therefore, the probability of picking 1 red candle followed by another red candle is 16.66%.

kondor19780726 [428]3 years ago

3 0

Answer:

1/6

Step-by-step explanation:

2/4 x 1/3 = 1/6

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Y=1/4x−2y=−2x+3 help solve problem.

8_murik_8 [283]

Answer:

(x, y) = (2 2/9, -1 4/9)

Step-by-step explanation:

Equate the values of y and solve for x.

1/4x -2 = -2x +3

(2 1/4)x = 5 . . . . . . . . add 2+2x to both sides

x = 20/9 = 2 2/9 . . . multiply by 4/9

y = -2(2 2/9) +3 = -4 4/9 +3 . . . . substitute for x in the second equation

y = -1 4/9

The solution is x = 2 2/9, y = -1 4/9.

7 0

3 years ago

2. Suppose over several years of offering AP Statistics, a high school finds that final exam scores are normally distributed wit

nirvana33 [79]

Answer:

By the Central Limit Theorem, the mean is 78, the standard deviation is $s = \frac{6}{\sqrt{n}}$ and the shape is approximately normal.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 78 and a standard deviation of 6

This means that $\mu = 78, \sigma = 6$

Samples of n:

This means that the standard deviation is:

$s = \frac{\sigma}{\sqrt{n}} = \frac{6}{\sqrt{n}}$

What are the mean, standard deviation, and shape of the distribution of x-bar for n?

By the Central Limit Theorem, the mean is 78, the standard deviation is $s = \frac{6}{\sqrt{n}}$ and the shape is approximately normal.

6 0

3 years ago

Which graph represents the function f(x))=2•(1/3)^x

prisoha [69]

Answer:

The one in the right top hand corner. It shows one arrow pointing up and one to the right.

Step-by-step explanation:

I can't really explain it.

5 0

2 years ago

What is four hundred twenty-eight and forty-six hundredths written in standard form? 5th grade

Akimi4 [234]

Answer:

4.2846*10^2

Step-by-step explanation:

428.46

4.2846*10^2 hopefully

6 0

3 years ago

If M is the midpoint of XY, find the coordinates of X if M(-3, -1) and Y(-8, 6) A. (2.5, -5.5) B. (-5.5, 2.5) C. (0, 0) D. (2, -

nadezda [96]

Answer:

(2, -8)

Step-by-step explanation:

(x, y)=(-3, -1)

(x1+x2)/2=-3,

(y2+y2)/2=-1,

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

(x1+x2)/2=-3

(y1+y2)/2=-1

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

x1-8=-6

x1=2

----------

y1+6=-2

y1=-8

(2, -8)

6 0

3 years ago