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madam [21]
3 years ago
6

Combine like terms.

Mathematics
1 answer:
frosja888 [35]3 years ago
5 0
<span>Combine like terms 1-5</span><span><span>
1)0.5<span>x^4</span></span>+<span>10.5
2)5</span></span><span>x+4
3)</span>6a^2+16
4)<span>4z^3</span>+<span>5<span>z^2</span></span>+<span>z
5)</span>p+4

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12percent of what number is 45
Molodets [167]
45 / 0.12 = 375
Answer: 375
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3 years ago
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a bag contains eleven counters. five are white. a counter is taken out the bag and is not replaced. a second counter is taken ou
Fed [463]

Answer:

\displaystyle P(A)=\frac{6}{11}

Step-by-step explanation:

<u>Probabilities</u>

The question describes an event where two counters are taken out of a bag that originally contains 11 counters, 5 of which are white.

Let's call W to the event of picking a white counter in any of the two extractions, and N when the counter is not white. The sample space of the random experience is

\Omega=\{WW,WN,NW,NN\}

We are required to compute the probability that only one of the counters is white. It means that the favorable options are

A=\{WN,NW\}

Let's calculate both probabilities separately. At first, there are 11 counters, and 5 of them are white. Thus the probability of picking a white counter is

\displaystyle \frac{5}{11}

Once a white counter is out, there are only 4 of them and 10 counters in total. The probability to pick a non-white counter is now

\displaystyle \frac{6}{10}

Thus the option WN has the probability

\displaystyle P(WN)=\frac{5}{11}\cdot \frac{6}{10}=\frac{30}{110}=\frac{3}{11}

Now for the second option NW. The initial probability to pick a non-white counter is

\displaystyle \frac{6}{11}

The probability to pick a white counter is

\displaystyle \frac{5}{10}

Thus the option NW has the probability

\displaystyle P(NW)=\frac{6}{11}\cdot \frac{5}{10}=\frac{30}{110}=\frac{3}{11}

The total probability of event A is the sum of both

\displaystyle P(A)=\frac{3}{11}+\frac{3}{11}=\frac{6}{11}

\boxed{\displaystyle P(A)=\frac{6}{11}}

7 0
2 years ago
How many distinguishable 11 letter​ "words" can be formed using the letters in MISSISSIPPI​?
SCORPION-xisa [38]
This is given by the multinomial coefficient:

\dbinom{11}{1,4,4,2}=\dfrac{11!}{1!4!4!2!}=34650

If you're not familiar with the multinomial coefficient, you may be able to see it more clearly if you count the number of possible combinations taking each distinct letter n times, where n is the number of times it shows up in the original word.

\underbrace{\dbinom{11}1}_{\text{M}}\underbrace{\dbinom{10}4}_{\text{I}}\underbrace{\dbinom64}_{\text{S}}\underbrace{\dbinom22}_{\text{P}}=\dfrac{11!}{1!10!}\dfrac{10!}{4!6!}\dfrac{6!}{4!2!}\dfrac{2!}{2!0!}=\dfrac{11!}{1!4!4!2!}
4 0
3 years ago
If (angle)A and (angle)B are supplementary, and m(angle)A = 57°, what is m(angle)B?
Sedbober [7]

Answer:

123°

Step-by-step explanation:

Supplementary angles add up to be 180 degrees.

This means angles A and B will add up to be 180 degrees.

We can find the measure of angle B by subtracting 57 from 180

180 - 57

= 123

So, the measure of angle B is 123 degrees

7 0
2 years ago
THIS HOMEWORK IS SO HARD WALLAHI CAN SOMEONE HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
Lubov Fominskaja [6]

Answer:

may be 5 I'm not a 100%sure

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3 years ago
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