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3 years ago

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A balloon is floating above a lake and a sunken canoe is below the surface of the lake. The balloon's vertical position is 12 me

ters and the canoe's is -4.8 meters. The equation 12 + d = -4.8 represents this situation.

1 answer:

geniusboy [140]3 years ago

5 0

Answer:

4.8x345+338283

Step-by-step explanation:

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Plz plz plz HELP!

ch4aika [34]

Answer:

y=11x

Step-by-step explanation:

ΔX = 2 – 1 = 1

ΔY = 22 – 11 = 11

5 0

2 years ago

How could the fact 36/6=6 help you estimate the quotient of 364,573/64?

butalik [34]

Because when you round 364,573 to the nearest thousand , you get 360,000 and when you round 64 , you get 60 and if you take away the zeros, the equation is basically 36÷6

6 0

3 years ago

According to the National Bridge Inspection Standard (NBIS), public bridges over 20 feet in length must be inspected and rated e

slamgirl [31]

Answer:

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Step-by-step explanation:

For each bridge, there are only two possible outcomes. Either it has rating of 4 or below, or it does not. The probability of a bridge being rated 4 or below is independent from other bridges. So we use the binomial probability distribution to solve this problem.

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.

For the year 2020, the engineers forecast that 9% of all major Denver bridges will have ratings of 4 or below.

This means that $p = 0.09$

Use the forecast to find the probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Either less than 4 have a rating of 4 or below, or at least 4 does. The sum of the probabilities of these events is 1.

So

$P(X < 4) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

So

$P(X \geq 4) = 1 - P(X < 4)$

In which

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

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

$P(X = 0) = C_{12,0}.(0.09)^{0}.(0.91)^{12} = 0.3225$

$P(X = 1) = C_{12,1}.(0.09)^{1}.(0.91)^{11} = 0.3827$

$P(X = 2) = C_{12,2}.(0.09)^{2}.(0.91)^{10} = 0.2082$

$P(X = 3) = C_{12,3}.(0.09)^{3}.(0.91)^{9} = 0.0686$

$P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3225 + 0.3827 + 0.2082 + 0.0686 = 0.982$

Finally

$P(X \geq 4) = 1 - P(X < 4) = 1 - 0.982 = 0.0180$

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

6 0

2 years ago

Evaluate the expression 24x - 13y for x = 3 and y = 2 i need help

Vesna [10]

Answer:

46

Step-by-step explanation:

You need just substitute values of x and y, and calculate.

24x - 13y = 24*3 - 13*2 = 72 - 26 = 46

3 0

3 years ago

Every delivery order from a pizzeria has a delivery charge of $1.50. How many dollars b is the total bill for a delivery of one

Charra [1.4K]

Answer:

p+1.50=b

Step-by-step explanation:

Hope it helps (;

7 0

3 years ago