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Mekhanik [1.2K]
3 years ago
15

8x(3x+4) distributive property rewrite each expression in equivalent form

Mathematics
2 answers:
Morgarella [4.7K]3 years ago
3 0
24x^2+32x is going to be when you distribute the 8x into the parentheses.
attashe74 [19]3 years ago
3 0
Start by distributing the 8x to get (8x)(3x) + (8x)(4). 8 times 3 equals 24 and x times x equals x^2, so 8x times 3x equals 24x^2. 8 times 4 equals 32, so 8x times 4 equals 32x. Therefore, 8x(3x+4) equals 24x^2 + 32x.
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There were 80 runners to start a race. In the first half of the race, 1/4 of them dropped out. In the second half of the race, 2
IgorLugansk [536]

Answer:

36 runners finished the race.

Step-by-step explanation:

In the first half of the race, 1/4 of them dropped, so we need to calculate 1/4 of 80:

(1/4) * 80 = 80/4 = 20

If 20 runners dropped out, now we have 80 - 20 = 60 runners.

Then, in the second half, 2/5 of the remaining runners dropped out, so:

(2/5) * 60 = 2*60/5 = 120/5 = 24

If 24 runners dropped out, now we have 60 - 24 = 36 runners.

So, 36 runners finished the race.

7 0
3 years ago
What is 1042 divided by 45?
Daniel [21]
1042 / 45 
=23.15

You should be able to do that with a calculator though.
4 0
2 years ago
Read 2 more answers
For a fair coin, suppose you toss the coin 100 times.
Natasha_Volkova [10]

Using the normal distribution, it is found that there is a 0.0005 = 0.05% probability of getting more than 66 heads.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
  • The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with \mu = np, \sigma = \sqrt{np(1-p)}.

For the binomial distribution, the parameters are given as follows:

n = 100, p = 0.5.

Hence the mean and the standard deviation of the approximation are given as follows:

  • \mu = np = 100(0.5) = 50.
  • \sigma = \sqrt{np(1-p)} = \sqrt{100(0.5)(0.5)} = 5

Using continuity correction, the probability of getting more than 66 heads is P(X > 66 + 0.5) = P(X > 66.5), which is <u>one subtracted by the p-value of Z when X = 66.5</u>.

Z = \frac{X - \mu}{\sigma}

Z = \frac{66.5 - 50}{5}

Z = 3.3

Z = 3.3 has a p-value of 0.9995.

1 - 0.9995 = 0.0005.

0.0005 = 0.05%

More can be learned about the normal distribution at brainly.com/question/4079902

#SPJ1

6 0
1 year ago
Pepe tenía dinero ahorrado en su alcancia pero le retiró $75 para comprar un jugete. Ahora tiene $250 en su alcancia ¿Cuánto din
gregori [183]
El tenia $325

$250+$75=$325

Espero q te ayude :)
4 0
3 years ago
In a speed race there are markers every 0.8 miles.If the course is 36 miles long,how many markers will be placed along the route
Masja [62]
36 divided by 0.8 = 45
45 makers will be placed along the route
8 0
3 years ago
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