On a number line where would 9/10 be located ?

Which inequality represents the sentence below? Two more than a number is less than 14. 2 + n less-than-or-equal-to 14 2 + n les

Romashka [77]

Answer: 2 + n less-than 14

Or 2 + n < 14

Step-by-step explanation:

Let n = number

Two more than a number is less than 14

n + 2 < 14

Or 2 + n < 14 which is the same as

2 + n less-than 14

7 0

3 years ago

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Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon

Leviafan [203]

Answer: 0.82 miles per gallon

Step-by-step explanation:

Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.

The results are :45 44 43 44 45 44 43

The formula to find the standard deviation is given by :-

$\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}$

First we find mean of the given data ,

$\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44$

Now,

${\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2$

$=1+1+1+1=4$

Now, standard deviation of the above results will be :-

$\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82$

Hence, the standard deviation of these results = 0.82 miles per gallon

8 0

3 years ago

A pack of 100 wolves on a remote island are suffering from a new disease. Let W(t) be the number of sick wolves at time t. Suppo

Olin [163]

Answer:

$b)\,\frac{dW}{dt}=kt\sqrt{W}, \,W(0)=10$

Step-by-step explanation:

Initial number of sick wolves = W(0) = 10

At time t, no. of sick wolves = W(t)

Given that disease is spreading at a rate proportional to the product of the time elapsed and the square root of the number of sick wolves:

$\frac{dW}{dt}=kt\sqrt{W}$

Mathematical model of above case is:

$\frac{dW}{dt}=kt\sqrt{W}, \,W(0)=10$

5 0

3 years ago

Solve for x and y 2x+3xi+2y=28+9i

vova2212 [387]

X = 6iy-4y+83-66i/13
y= 14+9i/2-x-3xi/2

5 0

3 years ago

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Find and interpret the mean absolute deviation of the data.

Zinaida [17]

Answer:

The mean absolute deviation is 4

Interpertation: The average distance between each data value and the mean is 4 which is the variation in the data set so you can understand how "spread out" each data point is from each other

Step-by-step explanation:

The mean absolute deviation is a measure of how much a data set varies.

<em>Step 1: Compute the mean</em>

mean = the sum of all the terms / number of terms

mean = 94 + 86 + 95 + 99 + 88 + 90 / 6

= 552 / 6

= 92

The mean is 92

<em>Step 2: Finding the absolute deviation</em>

You would take each number in the data set and subtract it from the mean, take the absolute value. After you take the sum of the absolute data values

= |94 - 92| + |86 - 92| + |95 - 92| + |99 - 92| + |88 - 92| + |90 - 92|

= |2| + |- 6| + |3| + |7| + |- 4| + |- 2|

= 2 + 6 + 3 + 7 + 4 + 2

= 24

To find the mean absolute deviation you divided the sum by total number of terms...

24/6 = 4

The average (mean) is equal to the sum of all the data values divided by the count of values in the data set (which was step 1)

Let me know if you have any questions !

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3 0

2 years ago