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3 years ago

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Karen read 20 pages of her book in a half hour. If she reads for 3 hours at the same rate , about how many pages of her book can

Karen read?

2 answers:

Anarel [89]3 years ago

6 0

Karen can read 120 pages in three hours

Sindrei [870]3 years ago

3 0

If Karen reads for 3 hours at 20 pages per half hour (40 pages per hour). She will have read 120 pages within 3 hours

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In 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachusetts, USA) were able to com

PtichkaEL [24]

Answer:

The probability that exactly 97 of them finished the marathon is 0.221.

Step-by-step explanation:

We are given that in 2019, approximately 97.4% of all the runners who started the Boston Marathon were able to complete the 42.2 km race.

100 runners are chosen at random.

The above situation can be represented through the binomial distribution;

$P(X = x) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x = 0,1,2,3,......$

where, n = number of trials(or samples) taken = 100 runners

r = number of success = exactly 97

p = probability of success which in our question is the probability

that runners finished the marathon, i.e; p = 0.974

So, X ~ Binom(n = 100, p = 0.974)

Now, the probability that exactly 97 of them finished the marathon is given by = P(X = 97)

P(X = 97) = $\binom{100}{97} \times 0.974^{97} \times (1-0.974)^{100-97}$

= $161700 \times 0.974^{97} \times 0.026^{3}$

= 0.221

Hence, the required probability is 0.221.

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3 years ago

Divide x^3-3x^2-10x+24 by x-2

melisa1 [442]

You can do this using synthetic division, which is the easiest way. If x - 2 = 0, then x = 2. That 2 will go outside the "box" and the leading coefficients of the terms in the polynomial will go inside the "box". 2 (1 -3 -10 24). Bring down the first number, the 1. Multiply that 1 by the 2 to get 2. Put that 2 up under the -3 and add to get -1. Multiply that -1 by the 2 to get -2. Put that =-2 up under the -10 and add to get -12. Multiply that -12 by the 2 to get -24. Put the -24 up under the 24 and add to get 0. That means that x - 2 is a factor of the polynomial. What's left, the bolded numbers, are the coefficients of a new polynomial that is one degree less than the polynomial you started with. In other words, when we divide your polynomial by x-2, you get $x^2-x-12$ .

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padilas [110]

1) $\overline{UP}$

2) $\overline{UP} \cong \overline{UP}$

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4) $\overline{PR}$

5) $\triangle OUP \cong \triangle RUP$ by SSS

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Bob plays a game at the school fair. He starts with 0 points. He gets 25 throws

kolbaska11 [484]

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