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alexandr1967 [171]
3 years ago
11

What is the multiplicative inverse of the sum of 1/3 + 1/5 ? Express in simplest form

Mathematics
1 answer:
Dima020 [189]3 years ago
5 0
\frac{8}{15}

My Work/Reasoning:
First we find the sum of 1/3 and 1/5. \frac{1}{3} + \frac{1}{5} = \frac{5}{15} + \frac{3}{15} = \frac{8}{15}
Then, we find the multiplicative inverse, I guess it's also known as the reciprocal. \frac{8}{15} turns into \frac{15}{8}
Finally, we simplify. \frac{15}{8}=1 \frac{7}{8}
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The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mea
Archy [21]

Answer:

Step-by-step explanation:

Given data:

\mu = 473

standard deviation is \sigma=  28

As distribution is normal in shape and values are symmetrical

The standard deviation rule says that 95% of observation lies between the second standard deviation of the mean

so, approximately only 5% of observation lies outside the interval and normal shape is symmetric. hence approximately 0.15% of observation lies above the interval

             = \mu + 2\times \sigma

             = 473 + 2\times 28 = 529

almost 0.15% of students spent more amount is 529

6 0
3 years ago
Use the graphs to solve the simultaneous linear equations
Delicious77 [7]

Answer:

x = 2 and y = 5

Step-by-step explanation:

Given the simultaneous linear equations

y = 2x + 1 and x + y = 7

We are to find the  value of x and y;

Substitute 1 into 2

From 2;

x+y = 7

x+2x+1 = 7

3x+1 = 7

3x = 7-1

3x = 6

x = 6/3

x = 2

Recall that y = 2x+1

y = 2(2) + 1

y = 4+1

y = 5

Hence the solution from the graph will be the point where the line cuts the x axis and this will be at x = 2 and y = 5

4 0
2 years ago
What is the missing number
just olya [345]
8 is the missing number
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8 0
3 years ago
Find the area of triangle DEF with vertices D(-1,2), E(3,-2) and F(-2,-2).*
Veronika [31]

Answer:

<em>The area of the triangle DEF is 10.</em>

Step-by-step explanation:

<u>Area of a Triangle:</u>

A triangle of base B and height H (both must be perpendicular) has an area of:

\displaystyle A=\frac{BH}{2}

The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.

This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:

B=3-(-2)=3+2=5

Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.

H=2-(-2)=4

With these two values, we calculate the area:

\displaystyle A=\frac{5*4}{2}=10

The area of the triangle DEF is 10.

4 0
3 years ago
What is the line through the points (2,3) and (19,17)
hammer [34]

Answer:

y-3=14/17(x-2)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(17-3)/(19-2)

m=14/17

y-y1=m(x-x1)

y-3=14/17(x-2)

3 0
3 years ago
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