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Paul [167]
3 years ago
11

Calculate the mean given the frequency table

Mathematics
1 answer:
DaniilM [7]3 years ago
8 0

Answer:

~15.55 is the mean.

Step-by-step explanation:

The class of frequency is given as 0-9, 10-19 and 20-29.

First of all, let us taken middle value of class:

\dfrac{0+9}{2} = 4.5

\dfrac{10+9}{2} = 14.5

\dfrac{20+9}{2} = 24.5

Formula for mean:

\text{Mean = } \dfrac{\sum (m \times f)}{\sum f}

where f is the frequency

and m is the mean value calculated in above step (4.5, 14.5 and 24.5)

The frequencies are given as:

4.5 -  24

14.5 - 20

24.5 - 32

Putting the values in above formula:

Mean = \dfrac{4.5\times 24+14.5\times 20 +24.5\times 32}{24+20+32}\\\Rightarrow \dfrac{108+290+784}{76}\\\Rightarrow \dfrac{1182}{76} \\\Rightarrow 15.55

Please refer to the attached image that contains the table for calculation of mean.

So, mean = ~15.55

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Water is leaking out of an inverted conical tank at a rate of 6800.0 cubic centimeters per min at the same time that water is be
m_a_m_a [10]

Answer:

6.82 mt^3/min

Step-by-step explanation:

By congruence of triangles, the radius r of the cone base when its height is 1 meter satisfies the relation

r/1 = 2.5/6

(See picture attached)

So, r = 0.4166 meters when the water is 1 meter high.

The volume of a cone with radius of the base = R is given by

V=\frac{\pi R^2h}{3}

So, the volume of water when it is 1 meter high is

V=\frac{\pi* 0.(4166)^2}{3}=0.1817\;mt^3

One minute later, the height of the water is 1 meter + 30 centimeters = 1.30 mt

The radius now satisfies

r/1.3 = 2.5/6

and now the radius of the base is

r = 0.5416 mt

and the new volume of water is 0.3071\;mt^3

So, the water is raising at a speed of

0.3071-0.1871 = 0.12 mt^3/min

This speed equals the difference between the water being pumped and the water leaking,

So,  

<em>0.12 = Speed of water being pumped -6.8  </em>

and

Speed of water being pumped = 6.8+0.12 = 6.82 mt^3/min

8 0
2 years ago
How do you write -63.6-5 in a simpler form
lys-0071 [83]

Answer:

-68.6

Step-by-step explanation:

subtracting a negative from a negative is addition.

6 0
3 years ago
Can any kind soul help me ASAP!​
CaHeK987 [17]

Answer:

Hope it helps u

Step-by-step explanation:

As we know that ,

Mean = sum of the terms/ numbers of terms

But here grouped data is given so , we use the formula

Mean=∑[f. m]/ ∑f

where f is frequency and m is mid point of each height ,

Now first we have to find the mid point of each interval, where

midpoint of each interval = (lower boundary + upper boundary)/2

m1=(150+154)/2 = 152

m2=(155+159)/2= 157,now found other by same formula, for each interval

m3= 162

m4= 167

m5=172    Now we find the midpoint of each interval ,so now

∑[f. m]=f1*m1+f2*m2+f3*m3+f4*m4+f5*m5

now putting the values of each frequency for given interval and midpoint of each interval we will get,

∑[f. m]=456+942+1296+167*x+344 = 167*x+3038

Now find,

∑f=f1+f2+f3+f4+f5

∑f=19+x

Now we have,

∑[f. m]=167*x+3038

∑f=19+x

also given mean height=161.6 cm

putt these values in above equation we get,

161.6=\frac{167*x+3038}{19+x}

now solve this ,

161.6(19+x)=167*x+3038

3070.4+161.6*x=167*x+3038

3070.4-3038=167*x-161.6*x

32.4=5.4*x

x=32.4/5.4

<h2>x=6   Ans........</h2>

3 0
3 years ago
•the total amount paid for the initial deposit and 6 months of rent is the same at all three apartment complex, $5150
Anarel [89]
Initial dep for A = $200
for A, B, C :
initial dep  + 6 (monthly rent) = $5150

For A:
$200 + 6(monthly rent A) = $5150
monthly rent A = (5150 - 200) / 6 = $825
For B:
monthly rent B = monthly rent A - $25 =  $800 
initial dep  B  +  6(800) = 5150
initial dep B = 5150 - 4800 = $350
For C:
initial dep C = initial dep B + $150 = $500 
$500 + 6(monthly rent C) = 5150
monthly rent C = (5150 - 500) / 6 = $775
7 0
2 years ago
How do I solve these????
spin [16.1K]

#10


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#11


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7 0
2 years ago
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