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Sati [7]
2 years ago
15

Find the constant of proportionality (r) in the equation y = rx

Mathematics
1 answer:
Sonja [21]2 years ago
4 0

Answer:

r = \frac{1}{9}

Step-by-step explanation:

Put some values into the equation and solve for r.

5 = r45\\r = 5/45 = \frac{1}{9 }

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xz_007 [3.2K]

Answer:

b. cosx + 6 sinx

Step-by-step explanation:

\frac{d}{dx} ( sinx - 6 cos \: x) \\  \\  = \frac{d}{dx}  sinx  - 6\frac{d}{dx}   cos \: x \\  \\  = cos \: x - 6( - sin \: x) \\  \\  = cos \: x + 6 \: sin \: x

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3 years ago
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Casey ran out of time while taking a multiple-choice test and plans to guess on the last 101010 questions. Each question has 555
Soloha48 [4]

Answer:

There is a 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is correct, or it is 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.

In which  is the number of different combinatios of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem we have that:

There are four questions, so n = 4.

Each question has 5 options, one of which is correct. So  

What is the probability that he answers exactly 1 question correctly in the last 4 questions?

This is  

There is a 40.96% probability that he answers exactly 1 question correctly in the last 4 questions.

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3 years ago
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For a field trip 9 students rode in cars and the rest filled three busses. How many students were in each bus if 99 students wer
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Answer: 30 students per bus

Step-by-step explanation: 99-9=90

90/3=30

30 students per bus

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3 years ago
How do i do this i'm really confused it's nothing i've done before
laila [671]
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Step-by-step explanation:

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