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2 years ago

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 m2 – 100 = –99
proof
m2 – 100 =(m – 10)(m + 10)
for eg. m=1, (-9)(11)= –99

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