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Natasha_Volkova [10]
3 years ago
11

Andre and Priya are tracking the number of steps they walk. Andre records that he can walk 6000 steps in 50 minutes. Priya write

s the equation y=118x, where y is the number of steps and x is the number of minutes she walks, to describe her step rate. This week, Andre and Priya each walk for a total of 5 hours. Who walks more steps?
Mathematics
1 answer:
Bogdan [553]3 years ago
7 0

Let's start by calculating the number of steps Andre walked. He recorded that he can walk 6000 steps in 50 minutes, which means that he can walk 6000/50=120 steps per minute. 5 hours = 5*60 = 300 minutes. So Andre has walked 120 * 300 = 36 000 steps.

Priya writes the equation y=118x in which y is the number of steps and x is the number of minutes. As already stated, 5 hours = 300 minutes. So x = 300. We replace x by its value and we get y = 118x = 118*300 = 35400 steps.

36000>34500 so Andre has walked more steps than Priya.

Hope this helps! :)

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3 years ago
What’s the value of x for the parallelogram shown???!!! Please help!
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3 years ago
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The length of a rectangle is 20 units more than its width. The area of the rectangle is x4−100.
Mice21 [21]

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1. x^2-10 because the area expression can be rewritten as (x^2-10)(x^2+10)which equals (x^2-10)((x^2-10)+20).

Step-by-step explanation:

Area of the rectangle =(x^4-100)

x^4-100=(x^2)^2-10^2\\$Applying difference of two squares: a^2-b^2=(a-b)(a+b)\\(x^2)^2-10^2=(x^2-10)(x^2+10)

Since the length of a rectangle is 20 units more than its width.

Width: x^2-10\\Length=x^2+10=x^2-10+20

The correct option is therefore 1.

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4 years ago
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Consider a picnic. if you want to buy enough hot dogs and buns without having any left over, you need to balance the number of p
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Since we're looking for the smallest common multiple between 8 and 10, we can use the method shown below to compute for the least common multiple. 

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5 0
3 years ago
An electronic product contains 40 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the
neonofarm [45]

Answer:

There is a 33.10% probability that there is at least one defective integrated circuit.

Step-by-step explanation:

For either integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. This means that we can solve this problem using the binomial probability distribution.

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}.\pi^{x}.(1-\pi)^{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.

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And \pi is the probability of X happening.

In this problem

The electonic product contains 40 integrated circuits, so n = 40.

The probability that any integrated circuit is defective is 0.01, so \pi = 0.01

What is the probability that there is at least one defective integrated circuit?

Either there is at least one defective integrated circuit, that is probability P(X > 0), or there are no defective integrated circuits, that is probability P(X = 0). The sum of these probabilities is decimal 1. We want to find P(X>0).

P(X > 0) + P(X = 0) = 1

P(X > 0) = 1 - P(X = 0)

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

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There is a 33.10% probability that there is at least one defective integrated circuit.

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