Mason worked at the water

6 ft 2 in. = _____ ft

kati45 [8]

Answer:

6.2 ft

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Tell whether the sequence is arithmetic. Justify your answer. If the sequence is arithmetic, write a recursive

navik [9.2K]

Answer:

The explicit formula

$a_n = 3 +0.25 (n-1)$

The recursive formula

$a_1 = 3$ for $n=1$

$a_n = a_ {(n-1)} +0.25$ if $n>1$

Step-by-step explanation:

If a sequence is arithmetical then the difference between any of its consecutive terms will be constant

3, 3.25, 3.5, 3.75,

$3.25-3 = 0.25\\\\3.5-3.25 = 0.25\\\\3.75 -3.5 = 0.25$

The difference between the consecutive terms remains constant so the sequence is arithmetic.

The explicit formula for an arithmetic sequence is:

$a_n = a_1 + d (n-1)$

Where d is the constant difference between the terms.

$d = 0.25$

$a_1$ is the first term of the sequence.

$a_1 = 3$

So

$a_n = 3 +0.25 (n-1)$

Finally, the recursive formula is:

$a_1 = 3\\\\a_n = a_ {(n-1)} +0.25$

8 0

3 years ago

What is the absolute value of 6.57?

Liono4ka [1.6K]

Answer: it should just be 6.57

Step-by-step explanation:

5 0

3 years ago

The taxiways and runways of a major airport are carefully monitored to expedite takeoffs and landings and to prevent collisions.

tatyana61 [14]

Answer:

18.04% probability that exactly 3 serious deviations and incursions will occur at LAX in a randomly selected year

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

Suppose the mean number of deviations and incursions per year at the Los Angeles International Airport (LAX) is 2.

This means that $\mu = 2$

Find the probability that exactly 3 serious deviations and incursions will occur at LAX in a randomly selected year

This is P(X = 3).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 3) = \frac{e^{-2}*2^{3}}{(3)!} = 0.1804$

18.04% probability that exactly 3 serious deviations and incursions will occur at LAX in a randomly selected year

4 0

3 years ago

Line BC has an equation of a line Y equals 2X +3 and F has an equation of a line Y equals -1/2 x+4 these two equations represent

Masja [62]

Answer:

Lines BC and F represent perpendicular lines

Step-by-step explanation:

we have

$y=2x+3$

the slope of the line BC is $m=2$

$y=-(1/2)x+4$

the slope of the line F is $m=-1/2$

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

so

$m1*m2=-1$

we have

$m1=2$ -----> slope line BC

$m2=-1/2$ -----> slope line F

Find the product of their slopes

$(2)(-1/2)=-1$

therefore

Lines BC and F represent perpendicular lines

6 0

3 years ago