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lesantik [10]
3 years ago
12

Simplify the product using the Distributive Property (a - 4)(a - 1)

Mathematics
2 answers:
Arlecino [84]3 years ago
7 0
Hope this helped .......................

Verizon [17]3 years ago
7 0

Answer: a²-5a+4

Step-by-step explanation:

When brackets are next to each other in algebra it means to multiply.

So,

a×a=a²

a×-1=-a (in algebra, you don't write -1a you would just write -a)

-4×a=-4a

-4×-1=+4

So then you would write it like this:

a²-a-4a+4

Then you would simplify it:

a²-5a+4

Hope this helps :)

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Mr. jones has two children. the older child is a girl. what is the probability that both children are girls?
allsm [11]
Since we already know that the older child is a girl (a 100% chance to be a girl), there must be a 50% chance that the other child is a girl. Therefore, the probability that both children are girls is 50%.
Hope this helps!
3 0
3 years ago
For what values of x is the area of the rectangle greater than the perimeter?
soldier1979 [14.2K]
Area = 7(x + 2) = 7x + 14
Perimeter = 2(7 + x + 2) = 2(9 + x) = 18 + 2x
7x + 14 > 18 + 2x
7x - 2x > 18 - 14
5x > 4
x > 4/5
4 0
3 years ago
A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects
Allisa [31]

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let <em>X</em> denote the number of green candies.

The probability of green candies is, <em>p</em> = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, <em>n</em> = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable <em>X</em> follows a binomial distribution with parameter <em>n</em> = 30 and <em>p</em> = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

                                       = 0.17228 + 0.17946 + 0.15328

                                       = 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

7 0
3 years ago
the probability that Jenya receives spam email is 4%.if she receives 520 email in a week about how much will be spam
wariber [46]
520*.04=20.8, or closer to 21 spam emails.
6 0
3 years ago
Using the following triangle, what is the cosine of angle B?
stealth61 [152]

Hello!

To find cosine, use the formula cos = adjacent / hypotenuse.

According to angle B, adjacent of angle B is side A, and the hypotenuse is side c because the hypotenuse is always opposite the right angle.

Therefore, the cosine of angle B is a/c.

3 0
3 years ago
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