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3 years ago

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a bag contains 9 green marbles, 3 red marbles, and 8 blue marbles. one marble is taken from the bag and put back after checking

its color. a second marble is then taken out. what is the probability that the first is blue and the second green?

1 answer:

grin007 [14]3 years ago

5 0

Answer:

17÷ 20 is the probability that the first is blue and the second is green

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9/11 - 1/2 in it's simplest form

Murrr4er [49]

Answer:

7/22

Step-by-step explanation:

Step 1: <u>Define/explain.</u>

To subtract fractions with different denominators, you must first find the least common denominator (LCM).

You can do this by listing the multiples of each denominator.

Step 2: <u>Solve.</u>

11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22

22 is the LCM.

Now, we change the fractions to where they both have denominators of 22.

**REMEMBER: WHICHEVER NUMBER YOU MULTIPLY THE DENOMINATOR BY, YOU MULTIPLY IT BY THE NUMERATOR AS WELL!!**

$9/11*2/2=18/22$

$1/2*11/11=11/22$

Now, subtract as normal.

$18/22-11/22=7/22$

$7/22 (simplified).$

Step 3: <u>Conclude.</u>

Therefore, 9/11 - 1/2 = 7/22.

5 0

3 years ago

An administrator at a local high school wants to investigate whether there is an association between the grade level of a studen

Nataliya [291]

Answer:

c.

Step-by-step explanation:

The following is how the p-value should be interpreted:

The probability of getting the test statistics value at least as intense as it might have been acquired during the test, assuming the null hypothesis is true, is considered as the p-value.

Null hypothesis

$\mathbf{H_o :}$ A student's grade level has no bearing or association on how they commute to school.

Alternative hypothesis;

$\mathbf{H_1: }$ There is a link between a student's grade level and the way they get to school.

The test statistic's value is 14.63, and the p-value is 0.2636.

As a result, the p-value is interpreted as that of option c in the question.

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3 years ago

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In circle O, what is m∠MAJ? °

mr_godi [17]

See the attached figure.

m ∠KAJ = 170° & m ∠LAM = 80°

We should know that :

m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°

∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)

∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°

But : m ∠KAL = m ∠MAJ ⇒⇒⇒ <u>Opposite angles.</u>

∴ m ∠MAJ + m ∠MAJ = 110°

∴ 2 * m ∠MAJ = 110°

∴ m ∠MAJ = 110° ÷ 2 = 55°

<u>So, the answer is : m ∠MAJ = 55°</u>

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3 years ago

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sergey [27]

It will be around 1.6metres

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