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N76 [4]
3 years ago
12

What is the area of the figure down below

Mathematics
1 answer:
kogti [31]3 years ago
3 0

68


Explanation:

So to get this answer you need to split it into smaller shapes. We already have the squares so we know that 3*3 is 9 and then we double that because there are two of them.

So, so far we have 18+x

We need to take the middle shape and split it into two trapezoids.

The area for trapezoids is T=(a+b/2)h

So T= (3+7/2)5
T= 5*5=25
And then we would double that because there are two of them so 50 and then fill it in for x
18+50= 68 is the area of the figure.
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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
4 years ago
A solution is heated from 0°C to 100°C. Between 0°C and 50°C, the rate of temperature increase is 1.5°C/min. Between 50°C and 10
muminat

Answer:

0.6 °C/min

Step-by-step explanation:

The relationship between rates and movement is ...

time = distance/speed

Here, the "distance" is measured in °C, and the "speed" is the rate of change of temperature.

For the first half of the heating, the time required is ...

(50°C -0°C)/(1.5 °C/min) = 50/(3/2) min = 100/3 min

For the second half of the heating, the time required is ...

(100°C -50°C)/(4/10 °C/min) = 50/(4/10) = 125 min

Then the total time is ...

((100/3) +125) min = (475/3) min

And the average rate of temperature increase is ...

total temperature change / total time

= (100°C -0°C)/(475/3 min) = 300/475 °C/min = 12/19 °C/min ≈ 0.6 °C/min

4 0
3 years ago
Evaluate the given expression. 5 P 2
Mamont248 [21]

Answer:

20

Step-by-step explanation:

nPr = n!/(n-r)!

5P2 = 5!/(5-2)!

= 5!/3!

= 5×4×3!/3!

= 5×4

= 20

7 0
3 years ago
274,389,451,379 rounded to the nearest hundred​
Mama L [17]
Rounded to the nearest hundred would be 274,389,451,400
8 0
3 years ago
The grass in jamie yard grew 16 centimeters in 10 days. it growing at a constant rate how many days did the grass to grow 1 cent
Leto [7]
16 cm -10 days
1 cm --- x days

x=1*10/16=5/8=0.625 days
6 0
3 years ago
Read 2 more answers
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