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Whitepunk [10]
3 years ago
6

A zucchini plant in Darnell’s garden was 10 centimeters tall when it was first planted. Since then, it has grown approximately 0

.5 centimeter per day.
a. Write a rule to describe the function.
b. After how many days will the zucchini plant be 18.5 centimeters tall?


A. h(d) = 0.5d + 10; 17 days


B. h(d) = 10d + 0.5; 1.1 days


C. h(d) = \frac{d}{0.5}+10; 4 days


D. h(d) = 0.5d; 37 days
Mathematics
1 answer:
Mariulka [41]3 years ago
6 0

Answer:

Let's start with part B. if it was originally 10 cm tall and it goes up 0.5 cm. each day, then we know that to go up one cm it needs two days. With that information we can say that 8*2 = 16. So it needs 17 days to go up 8.5 cm which would make it 18.5 cm tall.

Step-by-step explanation:

f(x) = 0.5x + 10

0.5x + 10 = 18.5

0.5x = 18.5 - 10

0.5x = 8.5

x = 8.5/0.5

x = 17 days

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Answer:

He drove 63 miles in one day

Step-by-step explanation:

151.2/2.4=63

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3 years ago
A candy jar contains flavored jelly beans. There are 7 orange, 9 cherry, 3 lemon, 15 licorice, and 6 blueberry. Find the probabi
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Answer: 0.046

Step-by-step explanation:

From the question,

orange jelly beans= 7

Cherry jelly beans =9

Lemon jelly beans = 3

Licorice jelly beans = 15

Blueberry jelly beans = 6

Total jelly beans = 40

The probability of choosing the first cherry jelly beans will be = 9/40

After the first one is chosen, there'll be 8 cherry jelly beans and total of 39 left. The probability of choosing the second one will be = 8/39

The probability of choosing two cherry jelly beans in a row will be:

= 9/40 × 8/39

= 72/1560

= 0.046

4 0
3 years ago
Explain how System 1 becomes equivalent to System 2.
Nostrana [21]

Answer:

\left\{\begin{array}{ccc}(A+L)x+(B+M)y=C+N\\Ax+By=C\end{array}\right

<h3>A.The first equation in System 2 is the sum of the equations in System 1. The second equation in System 2 is the first equation in System 1.</h3>

Step-by-step explanation:

\underline{+\left\{\begin{array}{ccc}Ax+By=C\\Lx+My=N\end{array}\right}\qquad\text{add both sides of the equations}\\(Ax+Lx)+(By+My)=C+N\qquad\text{distributive}\\(A+L)x+(B+M)y=C+N

5 0
3 years ago
Read 2 more answers
The distribution of weekly salaries at a large company is right skewed with a mean of $1000 and a standard deviation of $350. Wh
Shtirlitz [24]

Answer:

68.76% probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 50 employees will be at most $50

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation, which is also called standard error s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 1000, \sigma = 350, n = 50, s = \frac{350}{\sqrt{50}} = 49.5

What is the probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 50 employees will be at most $50

This is the pvalue of Z when X = 1000+50 = 1050 subtracted by the pvalue of Z when X = 1000-50 = 950. So

X = 1050

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

By the Central Limit Theorem

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

Z = \frac{1050-1000}{49.5}

Z = 1.01

Z = 1.01 has a pvalue of 0.8438

X = 950

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

Z = \frac{950-1000}{49.5}

Z = -1.01

Z = -1.01 has a pvalue of 0.1562

0.8438 - 0.1562 = 0.6876

68.76% probability that the sampling error made in estimating the mean weekly salary for all employees of the company by the mean of a random sample of weekly salaries of 50 employees will be at most $50

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2 years ago
A student downloads 5 music files to a portable MP3 player. In how many different orders can the songs be played?
statuscvo [17]
<em>25 different ways </em>( the answer )

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or

<em>Example : </em>

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