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Nata [24]
2 years ago
10

The table shows the results of a survey of 200 people attending a hockey

Mathematics
1 answer:
NNADVOKAT [17]2 years ago
3 0

Answer:

11375

Step-by-step explanation:

From the table :

Proportion of people who bought program :

Total number of items bought = (68 + 19 + 22 + 91) = 200

Number of programs = 91

Proportion of programs = 91 / 200 = 0.455

Of 25000 attendees ; expectd number of program sale :

0.455 * 25000 = 11375

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If a rectangle measures 21 centimeters by 28 centimeters what is the length in centimeters of the diagonal of the rectangle
SOVA2 [1]

Answer:

35cm

Step-by-step explanation:

Given data

Length= 21cm

Width= 28cm

Diagonal= ???

Applying Pythagoras theorem

D^2= L^2+W^2

D^2= 21^2+28^2

D^2= 441+784

D^2= 1225

D= √1225

D= 35cm

Hence the diagonal is 35cm

4 0
3 years ago
The spherical balloon is inflated at the rate of 10 m³/sec. Find the rate at which the surface area is increasing when the radiu
rjkz [21]

The balloon has a volume V dependent on its radius r:

V(r)=\dfrac43\pi r^3

Differentiating with respect to time t gives

\dfrac{\mathrm dV}{\mathrm dt}=4\pi r^2\dfrac{\mathrm dr}{\mathrm dt}

If the volume is increasing at a rate of 10 cubic m/s, then at the moment the radius is 3 m, it is increasing at a rate of

10\dfrac{\mathrm m^3}{\mathrm s}=4\pi (3\,\mathrm m)^2\dfrac{\mathrm dr}{\mathrm dt}\implies\dfrac{\mathrm dr}{\mathrm dt}=\dfrac5{18\pi}\dfrac{\rm m}{\rm s}

The surface area of the balloon is

S(r)=4\pi r^2

and differentiating gives

\dfrac{\mathrm dS}{\mathrm dt}=8\pi r\dfrac{\mathrm dr}{\mathrm dt}

so that at the moment the radius is 3 m, its area is increasing at a rate of

\dfrac{\mathrm dS}{\mathrm dt}=8\pi(3\,\mathrm m)\left(\dfrac5{18\pi}\dfrac{\rm m}{\rm s}\right)=\dfrac{20}3\dfrac{\mathrm m^2}{\rm s}

4 0
3 years ago
We have 3 broken glasses for every 500.Write this as a fraction and as a percent
Irina-Kira [14]
Number of broken glasses / total glasses = 3/500 = 0.006 = 0.6%
6 0
3 years ago
Two numbers are 10 units away in different directions from their midpoint, m, on a number line. The product of the numbers is –9
irinina [24]
In my opinion the answer is <span>m2 – 100 = –99
proof
</span>m2 – 100 =<span>(m – 10)(m + 10)
for eg. m=1, </span>(-9)(11)= <span>–99</span>
4 0
3 years ago
Read 2 more answers
5 divided by 3 1/3 I forgot how to do it and just redoing it
3241004551 [841]

Answer:

3/2

Step-by-step explanation:

   Write out the following:

               5              1                      

           ----------- = --------- = 3/2

             5 1/3          2/3                      

7 0
3 years ago
Read 2 more answers
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