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Rzqust [24]
2 years ago
7

Find bc to the nearest tenth

Mathematics
1 answer:
egoroff_w [7]2 years ago
6 0

Answer:

BC ≈ 3.3

Step-by-step explanation:

Using the tangent ratio in the right triangle.

tan A = \frac{opposite}{adjacent} , that is

tan20° = \frac{BC}{AB} = \frac{BC}{9} ( multiply both sides by 9 )

9 × tan20° = BC , then

BC ≈ 3.3 ( to the nearest tenth )

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A boiler has five identical relief valves. The probability that any particular valve will open on demand is 0.93. Assume indepen
noname [10]

Answer:

There is a 99.99998% probability that at least one valve opens.

Step-by-step explanation:

For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that 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 combinatios 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.

In this problem we have that:

n = 5, p = 0.93

Calculate P(at least one valve opens).

This is P(X \geq 1)

Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:

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

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

So

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

P(X = 0) = C_{5,0}.(0.93)^{0}.(0.07)^{5} = 0.0000016807

Finally

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0000016807 = 0.9999983193

There is a 99.99998% probability that at least one valve opens.

5 0
2 years ago
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Look at the graph below measuring the speed of a truck and answers the following 2 question.
NemiM [27]
X would be equal to time and y be equal to distance

The y axis would be measuring distance and the x axis would be measuring time. Another name for a speed graph is the distance time graph. The y axis would be measuring the distance covered by the truck in meters and the x axis would be for the time it takes to reach that distance in second.



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4 0
3 years ago
Help me pls its due soon
RoseWind [281]

Answer:

do you mean in simplist form?? if so...

Step-by-step explanation:

5/7=5/7

2/6=1/3

7 0
3 years ago
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Please help!! I need to get this! Brainliest For Right Anwser!
Doss [256]

Answer:

Data set A best fit by the regression line.

7 0
3 years ago
A store owner had 225 suits. At the end of a sale he had sold 4/5 of them. How many suits were left?
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The store owner sold 4/5 of the suitces. That means 1/5 of the suitcases are left. Multiple 225 to 1/5

225* \frac{1}{5} =  \frac{225}{1}* \frac{1}{5} = \frac{225*1}{1*5} = \frac{225}{5} =45

There are 45 suitcases left
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3 years ago
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