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3 years ago

Solve for the variable in the proportion below. Type the number only. Your answer should be a whole number.

Mathematics

1 answer:

lilavasa [31]3 years ago

5 0

2/4 = 5/x <=>

2x = 5*4 <=>

2x = 20 <=>

x = 20/2 <=>

x = 10

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Brianna is going to the amusement park, where she has to pay a set price of

Ronch [10]

Im pretty sure the answer is A but if not then it is C

This is bcuz B doesn’t make sense because the graph doesn’t say anything close to 100 rides and D doesn’t make sense either.

Hope this helped.

3 0

3 years ago

¼ x = 12 i need help plz thanks

AlladinOne [14]

Answer:

Step-by-step explanation:

1/4 x = 12

x = 4*12

x=48

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3 years ago

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According to national data, 5.1% of burglaries are cleared with arrests. A new detective is assigned to six different burglaries

blagie [28]

Answer:

26.95% probability that at least one of them is cleared with an arrest

Step-by-step explanation:

For each burglary, there are only two possible outcomes. Either it is cleared, or it is not. The probability of a burglary being cleared is independent of other burglaries. 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.

5.1% of burglaries are cleared with arrests.

This means that $p = 0.051$

A new detective is assigned to six different burglaries.

This means that $n = 6$

What is the probability that at least one of them is cleared with an arrest?

Either none are cleared, or at least one is. The sum of the probabilities of these events is 100% = 1. So

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

We want $P(X \geq 1)$

Then

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

In which

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

$P(X = 0) = C_{6,0}.(0.051)^{0}.(0.949)^{6} = 0.7305$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.7305 = 0.2695$

26.95% probability that at least one of them is cleared with an arrest

8 0

3 years ago

Solve the system of linear equations by substitution

Elodia [21]

X= 5y + 1

-2x + 9y = -1

-2(5y + 1) + 9y = -1

-10y - 2 + 9y = -1

-y - 2 = -1

-y = 1

y = -1

x + 5 = 1

x = -4

(-4, -1)

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3 years ago

Which is equivalent to 216 1/3 3 6 36 72

pickupchik [31]

Answer:

the correct option is d) 72

Step-by-step explanation:

The given expression is $216\times \frac{1}{3}$

first multiply numerator and then solve the fraction

$216\times \frac{1}{3}=\frac{216}{3}$

$=\frac{216}{3}$

solve the fraction,

$=72$

∴The equivalent expression of $216\times \frac{1}{3}$ is 72

Hence, the correct option is d) 72

8 0

4 years ago

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