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vlabodo [156]
2 years ago
12

The volume of sphere Q is 150% more than the volume of sphere P the volume of sphere R is 50% more than the volume of sphere Q F

ind the volume of sphere P as a fraction of the volume of sphere R
Mathematics
1 answer:
vazorg [7]2 years ago
8 0

Answer:

1/3.75

Step-by-step explanation:

Let:

Volume of sphere P = x

Volume Sphere Q = x + 150/100x

Volume of Q = x + 1.5x = 2.5x

Volume of R is 50% more than Q

Volume of R = (100 + 50)% of 2.5x

Volume of R = 150/100 * 2.5x

Volume of R = 1.5 * 2.5x = 3.75x

Volume of sphere P as a fraction of sphere R ;

Volume of P / volume of R

x / 3.75x

= 1/3.75

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In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer . Roy answered all t
katovenus [111]

Answer:

20 questions

Step-by-step explanation:

Given

Correct \Marks= +5

Incorrect\ Marks= -2

Score\ Obtained = 30

Number\ of\ correct\ answers = 10

Required

Number of questions answered

First, we need to get the total correct marks obtained by Roy

This is calculated by multiplying the correct marks by number of correct answers

Total = +5 * 10

Total = +50\ marks

Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy

Incorrect = Scores\ Obtained - Total

Incorrect = 30 - (+50)

Open bracket

Incorrect = 30 - 50

Incorrect = -20

Divide this by -2 to get the number of incorrect answers

Incorrect\ Answers = \frac{-20}{-2}

Incorrect\ Answers = 10

Add this to the number of correct answers to give the total number of question answered

Total = Correct\ Answers + Incorrect\ Answers

Total = 10 + 10

Total = 20

<em>Hence, Roy answered a total of 20 questions</em>

3 0
3 years ago
Can it be concluded that if there is a 50% chance of contracting a communicable disease through contact with an infected person,
crimeas [40]

Answer:

No it cannot be concluded.

Step-by-step explanation:

The probability of getting the disease in the first attempt is 50%

The probability of getting the disease in the second attempt is 50%

Thus the probability of getting the disease in either of the turns is 50%+50%=100% (which may seem to be true)

BUT

The probability of not  getting the disease in the first attempt is 50%

The probability of not getting the disease in the second attempt is 50%

Thus the probability of not getting the disease in either of the turns is 50%+50%=100% (which is also true for this case)

Thus the probability of getting the disease in either of the 2 contacts is still 50%

4 0
3 years ago
Two identical rubber balls are dropped from different heights. Ball 1 is dropped from a height of 196 feet, and ball 2 is droppe
Anon25 [30]
H1 (t) = 196 - 16 t-squared. / / / H2 (t) = 271-16t-squared. / / / In each function, 't' is the number of seconds after that ball is dropped. / / / Each function is only true until the first time that H=0, that is, until the first bounce. Each function becomes very complicated after that, and we would need more information in order to write it.
5 0
3 years ago
F(x) 3x^4-4x^2-3<br> Is this function odd?
Karo-lina-s [1.5K]

Answer:

No.

Step-by-step explanation:

f(x) = 3x^4-4x^2-3

If a function is odd then  f(-x) = -f(x) for all values of x.

Here f(-x) = 3(-x)^4 - 4(-x)^2 - 3

= 3x^4 - 4x^2 - 3

So f(-x) = f(x) which makes it even.

8 0
2 years ago
Albertson's found that the demand for Coke products varies inversely as the price of the product. When the price of a Coke produ
romanna [79]

Answer:

859

Step-by-step explanation:

The demand for Coke products varies inversely as the price of Cole products.

Mathematically:

D α 1/p

Where D = demand, p = price of coke product

D = k/p

Where k = constant of proportionality.

Let us find k.

k = D * p

When Demand, D, is 1250, price, p, is $2.75:

=> k = 1250 * 2.75

k = $3437.5

Now, when price, p, is $4, the demand will be:

D = 3437.5/4

D = 859.375 = 859 (rounding to whole number)

The demand for the product is 859 when the price is $4.

8 0
3 years ago
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