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2 years ago

Which statement is an example of the distributive property?

Mathematics

1 answer:

Alex777 [14]2 years ago

4 0

Answer:

3(2+15)= 3(2) + 3(15)

Step-by-step explanation:

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Sanjay picked p peaches. Zach picked 17 times as many peaches as Sanjay. Write an expression that shows how many peaches Zach pi

oksano4ka [1.4K]

Answer:

17p

Step-by-step explanation:

Since you don't know how much Sanjay picked you can only explain as a variable. So just put 17 next to p which is 17*p

5 0

2 years ago

Please help me with this question!!

quester [9]

Answer:

Step-by-step explanation:

a1 = 6

a2 = 10

a3 = 14

The next member of the sequence is 4 more than the current sequence. Therefore d = 4

a1 = 6

d = 4

n = 13

an = a1 + (n - 1)*d

an = 6 + (n - 1)*4

a_13 = 6 + 12*4

a_13 = 6 + 48

a_13 = 54

8 0

2 years ago

nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep

Arlecino [84]

Answer:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=30, p=0.05)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

For this case we want this probability:

$P(X \geq 2)$

And we can use the complement rule and we got:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

3 0

2 years ago

13. f(x) = -x + 4x^3 -2

Oksi-84 [34.3K]

Answer:

x = 5

Step-by-step explanation:

7 0

2 years ago

A student’s work to simplify and combine radicals is shown below. Select the statement which best applies to the sample mathemat

jeka94

Your answer is incorrect. You forgot to get the square root of 25 and 4. Answer should be 16√2

we can only subtract radicals that are the same. At first glance, 4√50 - 2√8 are not the same, so they are not likely to be subtracted. However, each radical can still be simplified.

4 √50 = 4 √25 * 2 = 4 * 5 √2 = 20 √2
2 √8 = 2 √4 * 2 = 2 * 2 √2 = 4 √2

Now that the radicals are the same. then you can subtract the numbers.

20 √2 - 4 √2 = 16√2

4 0

2 years ago