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3 years ago

6(1+×)=12 what is the answer

Mathematics

2 answers:

kodGreya [7K]3 years ago

4 0

Answer:

x=1

Step-by-step explanation:

you would do 6 times one and 6 times x which would make 6+6x=12. 12-6=6

6x=6 divide both by six you get x=1

liraira [26]3 years ago

4 0

Answer:

$\boxed{\bold{x=1}}$

Step By Step Explanation:

Divide both sides by 6

$\bold{\frac{6\left(1+x\right)}{6}=\frac{12}{6}}$

Simplify

$\bold{1+x=2}$

Subtract 1 from both sides

$\bold{1+x-1=2-1}$

Simplify

$\bold{x=1}$

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A survey reports that the probability a person has blue eyes is 0.10. Assume that 4 people are randomly selected at Miramar Coll

marissa [1.9K]

Answer:

0.344 = 34.4% probability that at least 1 of them have blue eyes.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they have blue eyes, or they have not. The probability of a person having blue eyes is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

A survey reports that the probability a person has blue eyes is 0.10.

This means that $p = 0.1$

4 people are randomly selected at Miramar College

This means that $n = 4$

Find the probability that at least 1 of them have blue eyes.

Either none of them have blue eyes, or at least one do. The sum of the probabilities of these events is decimal 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . So

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{4,0}.(0.1)^{0}.(0.9)^{4} = 0.656$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.656 = 0.344$

0.344 = 34.4% probability that at least 1 of them have blue eyes.

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3 years ago

The width of a rectangle is 5 feet, and the diagonal is 8 feet. Which is the area of the rectangle? (Round to nearest hundredth.

oee [108]

$The \ formula \ for \ the \ area \ of \ a \ rectangle \ is: \\\\A=l\cdot w\\ where \ l \ is \ the \ length, \ w \ is \ the \ width \\\\ w = 5 \feet , \\ diagonal: \ d= 8 \ feet \\ \\ apply \ the \ Pythagorean \ Theorem:$

$d^2=w^2+l^2 \\ \\l^2=d^2-w^2\\\\l^2=8^2-5^2\\\\l^2=64-25\\\\l^2=39$

$l=\sqrt{39}\\\\l \approx 6.244998 \ feet\\\\A= 6.244998 * 5= 31.22499\approx 31.23 \ feet^2$

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3 years ago

6(1+×)=12 what is the answer​

6(1+×)=12 what is the answer