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Elden [556K]
3 years ago
15

Mrs. Summers polled the students in her 7th and 8th grade classes to determine the number of pets each student has at home. The

results for her 7th grade class are shown in the dot plot below.
How many students are in Mrs. Summers' 7th grade class?
What percentage of the students have at least one pet at home? Round to the nearest percent.
Calculate the mean (rounded to the nearest tenth), median, and mode of the data represented on this dot plot.

Mathematics
2 answers:
Burka [1]3 years ago
8 0

Answer:

There are 32 kids in Mrs. Summers's class. The percentage is 5.30% of kids have one pet. 6 kids have one pet in Mrs. Summer's class.  

                                          I hope this helps :)

Step-by-step explanation:  There are 32 students in the 7th grade/Number of pets

Step-by-step explanation:

Just count all of the x's

vodka [1.7K]3 years ago
4 0

1. There are thirty two students in Mrs. Summers' 7th grade class.

2. 5.30% of the students have at least one pet at home.

3. The mean rounded to the nearest tenth is 4.6, the median is 5, and the mode of the data represented on this dot plot is 7.

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Answer:

<em></em>f(x) = 63000(0.97)^x<em></em>

<em></em>

Step-by-step explanation:

Given

f(0) = 63000 ---x = 0, in 2012

f(5) = 54100 -- x = 5, in 2017

Required

Select all possible equations

Because there is a reduction in the population, as time increases; the rate must be less than 1.

An exponential function is represented as:

f(x) = ab^x

Where

b = rate

rate > 1 in options (a) and (b) i.e. 1.03

This implies that (a) and (b) cannot be true

For option (c), we have:

f(x) = 63000(0.97)^x

Set x = 0

f(0) = 63000(0.97)^0 = 63000*1=63000\\

Set x = 5

f(5) = 63000(0.97)^5 = 63000*0.8587=54098.1 \approx 54100

<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>

For option (d), we have:

f(x) = 52477(0.97)^x

Set x = 0

f(0) = 52477(0.97)^0 - 52477* 1 = 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

For option (e), we have:

f(x) = 63000(0.97)^\frac{1}{5x}

Set x = 0

f(0) = 63000(0.97)^\frac{1}{5*0} = 63000(0.97)^\frac{1}{0} =undefined

<em>This is false because the f(x) is not undefined at x = 0</em>

For option (f), we have:

f(x) = 52477(0.97)^{5x

Set x = 0

f(0) = 52477(0.97)^{5*0} = 52477(0.97)^0 =52477*1= 52477

<em>This is false because the calculated value of f(0) does not correspond to the given value</em>

<em>From the computations above, only (c) </em>f(x) = 63000(0.97)^x<em> is true</em>

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