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LuckyWell [14K]
3 years ago
13

Please help! What’s the greatest common factor?? (#10)

Mathematics
1 answer:
pochemuha3 years ago
4 0

(x-1)(x-2)^2-(x-1)^2(x+2)\\\\=\boxed{(x-1)(x-2)}(x-2)-(x-1)\boxed{(x-1)(x+2)}\\\\=(x-1)(x-2)[(x-2)-(x-1)]\\\\Answer:\ (x-1)(x-2)=x^2-3x+2

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You pull a Queen (any of 4 suits) out of 52-card deck. I pull a pair of grey socks from the 12 -pair pack. There are 3 pairs of
nignag [31]

Answer: The probability of pulling a Queen has a smaller chance of happening.

Step-by-step explanation: In a 52-card deck, you have 4 Queens altogether belonging to each of the four suits. If you pull a card at random out of a complete pack, the probability of picking a Queen would be as follows;

P(Q) = Number of required outcomes/Number of all possible outcomes

P(Q) = 4/52

P(Q) = 1/13

P(Q) = 0.07692 or 7.69%

Also in a 12-pair pack of socks, you have 3 pairs with the color grey. The probability of picking a pair of grey socks at random is given as follows;

P(G) = Number of required outcomes/Number of all possible outcomes

P(G) = 3/12

P(G) = 1/4

P(G) = 0.25 or 25%

Therefore the probability of pulling a Queen has a 7.69% chance of happening and thats a lower chance.

4 0
3 years ago
Jim and Stephanie just got married and are thinking about changing their health care insurance plans to be more affordable. Curr
insens350 [35]

Answer:

Option B is correct.

Stephanie should add Jim to her health care plan.

Step-by-step explanation:

Let's take the options one by one.

Option 1

If Jim's employers insure him and his wife.

Jim’s employer pays 42% of his $378 monthly premium. His insurance plan will also pay for 23% of the $345 premium for additional beneficiaries.

It means Jim will pay (0.58 of $378) for himself plus (0.73 of $345) for his wife.

Amount Jim pays = (0.58 × 378) + (0.73 × 345) = $471.09

Option 2

If Stephanie's employers insure both of them.

Stephanie’s employer pays 35% of her $298 monthly premium but offers to pay an extra 10% of her premium for each beneficiary Stephanie adds to her plan. Her employer would then pay 30% of the $349 premium for each additional beneficiary.

It means Stephanie would pay (0.65 of $298) she'll pay for herself plus (0.70 of $349) she'll pay for her husband minus (10% of $298) that her company wants to pay out of the insurance fee of any of her additional beneficiary.

Amount Stephanie will pay = (0.65 × 298) + (0.70 × 349) - (0.10 × 298) = $408.2

Option 3

If each of them does an insurance plan with their respective employers

Jim’s employer pays 42% of his $378 monthly premium.

Stephanie’s employer pays 35% of her $298 monthly premium

Jim would pay (0.58 × $378) for himself = $219.24

Stephanie would pay (0.65 × $298) for herself = $193.7

Total they would pay in this option = $219.24 + $193.7 = $412.94

Of all the three options, the option that minimizes their expenses is when Stephanie insures herself and Jim with her employers for a total cost of $408.2 compared to a total cost of $471.09 if Jim insures the two of them with his employers or $412.94 if they respectively insure each other with their respective employers.

Hope this Helps!!!

7 0
4 years ago
Find the area under the standard normal distribution curve between z = 0 and z = 2.16.
Vladimir79 [104]

do you have a z table chart to look at?

 find Z= 0 should show that z=0 = 0.500

and z=2.16 = 0.9846

 subtract them

0.9846-0.500 = 0.4846 is the area

7 0
4 years ago
All the following are equivalent to 2(2a + b ) +8, except ______.
Arlecino [84]

Answer:

Except 4(a+b+2)

Step-by-step explanation:

It's 4a+4b+8 when expand

6 0
3 years ago
In a certain apartment building the ratio of tenants to cars is 3:5. if there are 30 tenants, how many cars are there?
Fittoniya [83]

Answer:

I want to say 50 cars

Step-by-step explanation:

If i am correct, there are more cars than people overall:

tenants to cars

3:5

so when you have 30 tenants you can multiply the cars by ten because that is what you did on the other side.

6 0
4 years ago
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