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Mekhanik [1.2K]
4 years ago
14

Answer the questions below

Mathematics
2 answers:
vaieri [72.5K]4 years ago
8 0

Answer:

mean= 50

median = 40

mode 95

Step-by-step explanation:

Put the numbers in order from smallest to largest

7,12,13,40,88,95,95

The mean is adding up all the numbers and dividing by the number of numbers

(7+12+13+40+88+95+95)/7

350/7 = 50

The median is the middle number

7/2 = 3.5

Round up so the 4th number is the median

40 is the median

The mode is the most often which is 95 since is appears twice

Ksivusya [100]4 years ago
6 0

Let's put them from least to greatest:

7, 12, 13, (40), 88, 95, 95

The median would be the number in the middle, therefore it's 40.

To get the mean, add them all together and you'll get 350. There are 7 numbers, do 350 divided by 7 and you'll get 50.

The mode mode would be 95. The mode is 95 because there's more than one of the same number.

Hope this helps!

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use this website. It saves lives

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3 years ago
c) If an initial investment of $ 35,000 grows to $257,000 in 15 years, what annual interest rate, continuously compounded, was e
castortr0y [4]

Answer: 13.29%

Step-by-step explanation:

The formula to calculate the compound amount (compounded continuously) is given by :-

A=Pe^{rt}, where P is the principal amount , r is the rate of interest ( in decimal) and t is the time period.

Given : P= $ 35,000 , A=  $257,000 and t=15 years

To find : r , we substitute all the values in the above formula , we get

257000=(35000)e^{15r}\\\\\Rightarrow\ e^{15r}=\dfrac{257000}{35000}\\\\\Rightarrow\ e^{15r}=7.3428

Taking natural log on both the sides , we get

15r=\ln(7.3428)\\\\\Rightarrow\ 15r=1.9937\\\\\Rightarrow\ r=\dfrac{1.9937}{15}0.132913333333\approx0.1329=13.29\%

Hence, the annual interest rate = 13.29%

6 0
4 years ago
The number of species of coastal dune plants in australia decreases as the latitude, in °s, increases. There are 34 species at 1
Bas_tet [7]

We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.

Further we know that there are 34 species at 11°s and 26 species at 44°s.

We can express the given information at two ordered pairs as shown below:

(n,l)=(11,34)\text{ and }(n,l)=(44,26)

Let us find slope of the line through these points:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{26-34}{44-11}=\frac{-8}{33}=-0.2424

Therefore, we can write the equation of line in slope intercept form as:

n=-0.2424l+b

Where b is the y intercept, and we can find its value using one of the two points.

34=-0.2424(11)+b\\34=-2.67+b\\b=34+2.67=36.67

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n=-0.2424l+36.67

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4 years ago
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Step-by-step explanation:

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3 years ago
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164 less than the product of 82 and a number is 738.
Katen [24]
The unknown number would be 11

738 + 164 = 902
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3 years ago
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