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Scorpion4ik [409]
3 years ago
15

A cylindrical container of height 28 cm and diameter 18 cm is filled with water. The water is then poured into another container

with a rectangular base of length 27 cm and width 11 cm. Calculate the depth (height) of the water in the rectangular container. [Take pi to be 22 over 7]​
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
6 0

Step-by-step explanation:

then poured into another container with a rectangular base of length 27 cm and width 11 cm. Calculate the depth (height) of the water in the rectangular container

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How many ml of a 20% acid mixture and a 80% acid mixture should be mixed to get 120ml of a 35% acid mixture?
shutvik [7]

Answer:

Volume of Mixture A =90 ml

Volume of Mixture B =30 ml

Step-by-step explanation:

Let say, Mixture A + Mixture B = Mixture C

Volume of Mixture A is x

Volume of Mixture B is y

So, Volume of Mixture C is x+y = 120 ml

Now, Acid contain in Mixture A is 20% =0.2x

Acid contain in Mixture B is 80% =0.8y

Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42

Now, we know that,

Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C

∴ 0.2x+0.8y=42

∴ 2x+8y=420

We get two linear equations

2x+8y=420 and x+y = 120

Solving above equation...

∴ x=120-y

Replacing x value in 2x+8y=420

∴ 2(120-y)+8y=420

∴ 240-2y+8y=420

∴ 6y=180

∴ y=30

Replacing y value in any equation

∴ x=120-y=120-30=90

∴ x=90

Thus,

Volume of Mixture A is x=90 ml

Volume of Mixture B is y=30 ml

3 0
3 years ago
Construct an explicit rule in function notation for the arithmetic sequence represented in the table. Then determine the value o
strojnjashka [21]

Answer:

After 11 weeks, Darnell′s savings account will have a total of $8,360.

Step-by-step explanation:

The data provided is as follows:

   n:    1        2       3        4

f (n): 260   360   460   560  

Consider the data for f (n).

The series f (n) follows an arithmetic sequence with a common difference of 100 and first term as 260.

The nth term of an arithmetic sequence is:

a_{n}=\frac{n}{2}[2a+(n-1)d]

Compute the value of f (11) as follows:

f(11)=\frac{11}{2}[(2\times260)+(11-1)\times 100]

        =5.5\times[520+1000]\\\\=5.5\times 1520\\\\=8360

Thus, after 11 weeks, Darnell′s savings account will have a total of $8,360.

5 0
3 years ago
g If the economy improves, a certain stock stock will have a return of 23.4 percent. If the economy declines, the stock will hav
dusya [7]

Answer:

E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%

Now we can find the second central moment with this formula:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965

And the variance is given by:

Var(X) = E(X^2) - [E(X)]^2

And replacing we got:

Var(X) = 413.5965 -(11.759)^2 =275.5105

And finally the deviation would be:

Sd(X) = \sqrt{275.5105}= 16.599 \%

Step-by-step explanation:

We can define the random variable of interest X as the return from a stock and we know the following conditions:

X_1 = 23.4 , P(X_1) =0.67 represent the result if the economy improves

X_2 = -11.9 , P(X_1) =0.33 represent the result if we have a recession

We want to find the standard deviation for the returns on the stock. We need to begin finding the mean with this formula:

E(X) = \sum_{i=1}^n X_i P(X_i)

And replacing the data given we got:

E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%

Now we can find the second central moment with this formula:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965

And the variance is given by:

Var(X) = E(X^2) - [E(X)]^2

And replacing we got:

Var(X) = 413.5965 -(11.759)^2 =275.5105

And finally the deviation would be:

Sd(X) = \sqrt{275.5105}= 16.599 \%

7 0
3 years ago
Which could be the area of the base of the triangular prism?
Likurg_2 [28]

Answer:

c - 12ft

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which is a better buy—100 sheets of binder paper at $2.50, or 150 sheets at $3.50?
VikaD [51]

Answer:

150 sheets is the better buy.

Step-by-step explanation:

Cost of each sheet when buying 100 = $2.50 / 100 = $0.0250'

If you buy 150 cost per sheet =  $3.50 / 150 = $0.0233.....

So buying 150 sheets is the better buy.

4 0
3 years ago
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