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STALIN [3.7K]
3 years ago
5

Chapter 15 probability

Mathematics
1 answer:
denpristay [2]3 years ago
4 0
What do you mean by that? 
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How much will it cost to carpet a rectangular room measuring 13.4 m by 24 m if carpeting costs​ $24.99 per square​ meter?
brilliants [131]

Answer:

$8036.784

Step-by-step explanation:

It is easy

The area of carpet is 13.4×24=321.6sq meter

Now, for 1 sq. meter the cost is $24.99

So for 321.6sq.meters, 321.6×24.99

=$8036.784

6 0
3 years ago
If the consumer price index changes from 125 in september to 150 in october, what is the rate of inflation?
allochka39001 [22]
The rate of inflation is analogous to the percent difference of the original to the new price. Thus, its formula is written as:

Rate of Inflation = [New price - Base price]/Base Price * 100
Rate of inflation = (150 - 125)/125 * 100 = 20%

<em>So, the answer is A.</em>
4 0
3 years ago
Read 2 more answers
Is x greater than, less than, or equal to 151°
Vitek1552 [10]

Answer:

less than

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
given y&gt;0 and dy/dx=(3x^2+4x)/yif the point (1,√10) is on the graph relating x and y, then what is y when x=0
jonny [76]
\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{3x^2+4x}y\iff y\,\mathrm dy=(3x^2+4x)\,\mathrm dx
\implies\displaystyle\int y\,\mathrm dy=\int(3x^2+4x)\,\mathrm dx
\implies \dfrac12y^2=x^3+2x^2+C

When x=1 you have y=\sqrt{10}, so

\dfrac12(\sqrt{10})^2=1^3+2(1)^2+C\implies 5=1+2+C\implies C=2

and so the particular solution to the ODE is

\dfrac12y^2=x^3+2x^2+2

Then when x=0, you get

\dfrac12y^2=0^3+2(0)^2+2=2
\implies y^2=4
\implies y=2

where we omitted the negative root because it's given that y>0.
4 0
3 years ago
What is the perimeter P of △DEF to the nearest whole number?
schepotkina [342]

Answer:

perimeter of ΔDEF  ≈ 32

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the steps below:

First, we will find the length of the side of the triangle DE and FF

To find the length DE, we will use the sine rule

angle E  = 49 degrees

e= DF = 10

angle F = 42 degrees

f= DE =?

we can now insert the values into the formula

=  

cross-multiply

f sin 49° = 10 sin 42°

Divide both-side by sin 49°

f = 10 sin 42° / sin 49°

f≈8.866

which implies DE ≈8.866

We will now proceed to find side EF

To do that we need to find angle D

angle D + angle E + angle F = 180°  (sum of interior angle)

angle D + 49° + 42° = 180°

angle D + 91° = 180°

angle D= 180° - 91°

angle D = 89°

Using the sine rule to find the side EF

angle E = 49 degrees

e= DF = 10

ange D = 89 degrees

d= EF = ?

we can now proceed to insert the values into the formula

=  

cross-multiply

d sin 49° = 10 sin 89°

divide both-side of the equation by sin 49°

d= 10 sin 89°/sin 49°

d≈13.248

This implies that length EF = 13.248

perimeter of ΔDEF = length DE + length EF + length DF

                                  =13.248   +  8.866  + 10

                                   =32.144

                                    ≈ 32 to the nearest whole number

perimeter of ΔDEF  ≈ 32

6 0
3 years ago
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