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Setler79 [48]
3 years ago
5

Solve for x. 2x + 16 = 3(x - 9) A) -43 B) -25 C) 0 D) 43

Mathematics
1 answer:
sergiy2304 [10]3 years ago
4 0

Answer:

x = 43

Step-by-step explanation:

2x + 16 = 3(x - 9)

2x + 16 = 3x - 27

2x - 16 = 3x -27 (-16)

2x = 3x -43

2x (-3x) = -43

-1x or -x

-x = -43

-43/ -x = 43

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3 years ago
assume the probability of having a boy or a girl is the same. what is the probability of have a boy then a girl then another gir
NNADVOKAT [17]

Answer:

\dfrac{1}{8}

Step-by-step explanation:

If the probability of having a boy or a girl is the same, then

the probability of having a boy = a probability of having a girl = 1/2.

Let B denote boy and G denote the girl.

The sample space of having three children is:

BBB, BBG, BGB, GBB, BGG, GBG, GGB, GGG.

The probabilities of each of those events is

Pr(BBB)=Pr(BBG)=Pr(BGB)=Pr(GBB)=\\ \\=Pr(BGG)=Pr(GBG)=Pr(GGB)=Pr(GGG)=\\ \\=\dfrac{1}{2}\cdot \dfrac{1}{2}\cdot \dfrac{1}{2}=\dfrac{1}{8}.

5 0
4 years ago
A cubic yard of topsoil weighs 4,128 pounds.About how many 50-pound bags can you fill with one cubic yard of topsoil?
algol [13]
4128 divided by 50. The answer is the number of bags
6 0
3 years ago
64% of US adults have very little confidence in newspapers you randomly select 10 US adults find the probability that the number
9966 [12]

Answer:

A) 0.1636

B) 0.7292

C) 0.0305

Step-by-step explanation:

This is a binomial probability distribution question that follows;

P(X = x) = nCx × p^(x) × q^(n - x)

In this case, p = 64% = 0.64

q = 1 - p = 1 - 0.64 = 0.36

Thus;

A) P(exactly 5) = P(5) = 10C5 × 0.64^(5) × 0.36^(10 - 5) = 0.1636

B) P(at least 6) = P(x ≥ 6) = P(6) + P(7) + P(8) + P(9) + P(10)

P(6) = 10C6 × (0.64^(6)) × (0.36^(10 - 6)) = 0.2424

P(7) = 10C7 × (0.64^(7)) × (0.36^(10 - 7)) = 0.2462

P(8) = 10C8 × (0.64^(8)) × (0.36^(10 - 8)) = 0.1642

P(9) = 10C9 × (0.64^(9)) × (0.36^(10 - 9)) = 0.0649

P(10) = 10C10 × (0.64^(10)) × (0.36^(10 - 10)) = 0.0115

Thus;

P(x ≥ 6) = 0.2424 + 0.2462 + 0.1642 + 0.0649 + 0.0115

P(x ≥ 6) = 0.7292

C) P(x < 4) = P(0) + P(1) + P(2) + P(3)

From online binomial probability calculator, we have;

P(x < 4) = 0.0305

5 0
3 years ago
Karen, Dan, and Carlos served a total of 89 orders on Monday at the school cafeteria. Dan served 4 times as many orders as Carlo
Delvig [45]

Answer:

carlos served 16 times dan served 64 times and karen served 9 times

Step-by-step explanation:

im just going to say 16 + 64 + 9 = 89

7 0
2 years ago
Read 2 more answers
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