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DedPeter [7]
2 years ago
10

Point 6 is on line segment FH. Given FG=8 and GH=11, determine length FH

Mathematics
1 answer:
Pie2 years ago
7 0

Answer:

GH = 20

Step-by-step explanation:

We have that

FH = FG + GH ← substitute values

4x + 8 = x + 5x

4x + 8 = 6x ( subtract 4x from both sides )

8 = 2x ( divide both sides by 2 )

4 = x

Hence GH = 5x = 5 × 4 = 20GH = 20

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Two faces of a six-sided die are painted red, two are painted blue, and two are painted yellow. The die is rolled three times, a
Keith_Richards [23]

Answer:

(a) 4/9

(b) 19/27

Step-by-step explanation:

The probability of each die turning up red or not turning red are:

P(R) =\frac{2}{6}= \frac{1}{3}\\P(O) =\frac{4}{6}= \frac{2}{3}

(a). Exactly one face up is red.

The odds of only the first die being red are:

P(A=R) =\frac{1}{3} *\frac{2}{3}* \frac{2}{3} \\P(1=R) =\frac{4}{27}

The same odds are valid for only the second or only the third die being red. Therefore, the probability that exactly one die turns up red is:

P(R=1) = 3*\frac{4}{27}\\P(R=1) = \frac{4}{9}

(b). At least one face up is red.

The probability that at least one die turns up red is the sum of the probabilities of exactly one (found in the previous item), two or all dice turning up red.

Following the same logic as in the previous item, the probability that exactly two dice turn up red is:

P(R=2) = 3*(\frac{1}{3}*\frac{1}{3}*\frac{2}{3})\\P(R=2) = \frac{2}{9}

The probability that all die turn up red is:

P(R=3) = \frac{1}{3}*\frac{1}{3}*\frac{1}{3}\\P(R=3)=\frac{1}{27}

Thus, the probability that at least one die turns up red is:

P= P(R=1)+P(R=2)+P(R=3) = \frac{4}{9}+\frac{2}{9}+\frac{1}{27}\\P=\frac{19}{27}

4 0
3 years ago
PLS ANSWER QUICKLY Write the absolute value equations in the form of |x-b|=c (where b is a number and c can be either a number o
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Answer:

uh so all I know is that for d the answer is |a-0|=1/2 if you go to rsm because on the right side of the numberline there is an <em>a</em>

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Step-by-step explanation:

4 0
3 years ago
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marshall27 [118]

Answer:

Step-by-step explanation:

Change g(n) to y

y = 2n - 2

2y - 2 = n

2y = n + 2

y = (n + 2)/2

g^-1(n) = 1/2n + 1

solution is B

7 0
3 years ago
What two mixed numbers between 3 and 4 have a product between 9 and 12
madreJ [45]
Here's an answer: 

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Step-by-step explanation:

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