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oee [108]
2 years ago
8

Megan and Suzanne each have a plant. They track the growth of their plants for four weeks. Whose plant grew at a faster rate, an

d what was the rate? Suzanne’s at 2 inches per week Suzanne’s at 1.5 inches per week Megan’s at 3 inches per week Megan’s at 2.5 inches per week

Mathematics
2 answers:
wlad13 [49]2 years ago
4 0
In science, rate is a<span> quantity measured with respect to another measured quantity. For the data given, we get the rate of each by calculating the slope. We do as follows:

Megan's rate = 12 - 4.5 / 4 -1 = 2.5 inches per week
Suzanne's rate = 11 - 5 / 4-1 = 0.5 inches per week

Therefore, the plant that grew at a faster rate would be </span><span>Megan’s at 2.5 inches per week.</span>
Veronika [31]2 years ago
3 0
Hello there. 

answer: 2.5 inches per week.
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The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options. On a coordin
34kurt

Answer:

On a coordinate plane, a parabola opens down

has a vertex at (negative 0.5, 6.75)

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The domain is all real numbers

Step-by-step explanation:

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2 years ago
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Jessica and Martha each have a bag of cookies with unequal quantities. They have 30 cookies total between the two of them. Each
sergiy2304 [10]

Answer:

Part 1) The inequality that describes the relationship between the number of cookies each one of them has is x^{2} -30x+224\geq 0

Part 2) Jessica has at least 2 cookies more than Martha

Step-by-step explanation:

Part 1) Find the inequality that describes the relationship between the number of cookies each one of them has

Let

x----> the number of cookies when Jessica started

30-x ----> the number of cookies when Martha started

we know that

Each of them ate 6 cookies from their bag

so

The cookies left in each bag are

(x-6)  ----> Jessica

and (30-x-6)=(24-x) ---> Martha

The product is equal to (x-6)(24-x)

The product of the number of cookies left in each bag is not more than 80.

so

(x-6)(24-x)\leq 80\\ \\24x-x^{2}-144+6x\leq 80\\ \\-x^{2} +30x-144-80\leq 0\\ \\-x^{2} +30x-224\leq 0

Multiply by -1 both sides

x^{2} -30x+224\geq 0

Part 2) Solve the quadratic equation

x^{2} -30x+224\geq 0

Solve by graphing

The solution is x=16 cookies

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(30-x)=30-16=14 cookies

therefore

The number of cookies when Jessica started was 16 cookies

The number of cookies when Martha started was 14 cookies

The number of cookies left in each bag  is equal to

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5 0
2 years ago
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the time taken by a student to the university has been shown to be normally distributed with mean of 16 minutes and standard dev
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Answer:

a) 2.84% probability that he is late for his first lecture.

b) 5.112 days

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When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 16, \sigma = 2.1

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This is the probability that he takes more than 20 minutes to walk, which is 1 subtracted by the pvalue of Z when X = 20. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{20 - 16}{2.1}

Z = 1.905

Z = 1.905 has a pvalue of 0.9716

1 - 0.9716 = 0.0284

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b. Find the number of days per year he is likely to be late for his first lecture.

Each day, 2.84% probability that he is late for his first lecture.

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Now we add these two equations together to get:

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Now we can plug in our answer for x to find y.  I am going to use the first equation, but you could use either.

$105.30 + 14y = $250.90.  Subtract $105.30 from both sides --> 14y = $145.60 divide by 14 --> y = $10.40

Now we know that she makes $8.10 per hour on the week days, and $10.40 per hour on the weekends.  Subtracting 8.1 from 10.4, we figure out that she makes $2.30 more per hour on the weekends than week days.
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2 years ago
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Answer:

Slope = rise / run

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= -0.008

4 0
2 years ago
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