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balandron [24]
3 years ago
12

What is one tenth of 24

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
6 0
So,

One tenth of 24 is the same as this:
\frac{1}{10} *  \frac{24}{1}

Multiply
\frac{24}{10}\ or\  \frac{12}{5}\ or\ 2 \frac{2}{5}\ or\ 2.4
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Use the GCF to factor 28x + 42.<br> HELLP PLS
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The following graph shows a proportional relationship.
elena-s [515]

Answer:

The constant of proportionality is thus 1

Step-by-step explanation:

Note that the green line passes through (6, 6) and has a y-intercept of 0.  Thus, the equation of the line is y = (6/6)x + 0, or y = x, or y = 1x.

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fair coin is tossed three times. What is the probability that all three tosses land on heads,given that:(a) the first toss lands
maxonik [38]

Answer:

(a) The probability that all three tosses land on heads given that the 1st toss lands on Heads is \frac{1}{4}.

(b) The probability that all three tosses land on heads given that at least one toss lands on heads is \frac{1}{7}.

Step-by-step explanation:

The sample space of tossing 3 coins is:

S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} = 8 outcomes.

(a)

The sample space such that the 1st toss lands on Heads is:

S₁ = {HHH, HHT, HTH, HTT} = 4 outcomes.

The probability that all three tosses land on heads given that the 1st toss lands on Heads is:

P (3 Heads | 1st toss is Heads) = \frac{P(3\ Heads\ \cap \ 1st\ toss\ is\ Heads)}{P(1st\ toss\ is\ Heads)}

                                                  =\frac{\frac{1}{4} }{\frac{4}{8} } \\=\frac{1}{8}\times \frac{8}{4}\\  =\frac{1}{4}

Thus, the probability that all three tosses land on heads given that the 1st toss lands on Heads is \frac{1}{4}.

(b)

The sample space such that at least one toss lands on heads is:

S₂ = {HHH, HHT, HTH, THH, HTT, THT, TTH} = 7 outcomes

The probability that all three tosses land on heads given that at least one toss lands on heads is,

P (3 Heads | At least 1 Heads) =\frac{P(3\ Heads\ \cap\  At\ least\ 1\ Heads)}{P( At\ least\ 1\ Heads)}

                                                  =\frac{\frac{1}{7} }{\frac{7}{8} } \\=\frac{1}{8}\times \frac{8}{7}\\  =\frac{1}{7}

Thus, the probability that all three tosses land on heads given that at least one toss lands on heads is \frac{1}{7}.

4 0
3 years ago
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