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mamaluj [8]
4 years ago
8

Simplify the expression by combining like terms if possible. If not possible select already simplified. 4a^2+2a+4a^2-5

Mathematics
1 answer:
vichka [17]4 years ago
8 0
So the expression is: 4 a^{2} + 2a + 4 a^{2} - 5

You can combine like terms, which are terms that contain the same variables raised to the same power. That means you can combine the two 4 a^{2}. 4 a^{2} + 4 a^{2} = 8 a^{2} The other terms can't be combined.

Your final answer should be 8 a^{2} +2a-5.
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52% of all Americans are home owners. If 45 Americans are randomly selected, find the probability that a. Exactly 21 of them are
Nataly [62]

Answer:

0.0918 ; 0.6277 ; 0.6064; 0.5055

Step-by-step explanation:

Given that :

Proportion of home owners : p = 0.52

Number of trials = 45

Using binomial distribution formula :

P(x =x) = nCr * p^x * (1 - p)^(n-x)

A.) probability that exactly 21 are homeowners :

P(x = 21) = 45C21 * 0.52^21 * (1 - 0.52)^(45 - 21)

P(x = 21) = 45C21 * 0.52^21 * 0.48^24

P(x = 21) = 3773655750150 * 0.52^21 * 0.48^24

P(x = 21) = 0.0918

b. At most 24 of them are are home

Using the binomial probability to save computation time.

P(x ≤ 24) = p(0) + p(1) +.... + p(24)

P(x ≤ 24) = 0.6277

C.) At least 23 of them are home owners.

P(x ≥ 23) = p(23) + p(24) +... + p(45)

P(x ≥ 23) = 0.6064

d. Between 20 and 24 (including 20 and 24) of them are home owners.

P(20 ≤ x ≤ 24) = p(20) + p(21) + p(22) + p(23) + p(24)

P(20 ≤ x ≤ 24) = 0.0711 + 0.0918 + 0.1084 + 0.1175 + 0.1167

P(20 ≤ x ≤ 24) = 0.5055

8 0
3 years ago
Como acho a classe de equivalência de 5/9 e 7/13
Brilliant_brown [7]

A) 5/9 = 10/18

b)7/13 = 14/26

4 0
3 years ago
How many zeroes are in the product of 40 x 107?
N76 [4]

Answer:

There's one 0.

Step-by-step explanation:

Because I multiplied it and there's only one 0.

4 0
3 years ago
Read 2 more answers
Solve for x
sesenic [268]

Answer:

18/5

Step-by-step explanation:

8 0
3 years ago
What is 96-4.5y-3.2y=5.6y+42.80<br><br> PLEASE HELP!!!!
Lady_Fox [76]
You want to combine like terms. so -4.5y-3.2y=-7.7. so no it’ll look like 96-7.7y=5.6y+42.80.
no you’ll bring 96 to the other side so now it’s
-7.7y=5.6y-53.20
now you’ll bring 5.6y to the other side. -13.30y=-53.20. you want the variable by itself so do -13.30 divided by both sides

6 0
3 years ago
Read 2 more answers
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