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bogdanovich [222]
3 years ago
5

Fill in the blanks to make true number sentences. 1 3/5 = __ : __

Mathematics
1 answer:
arsen [322]3 years ago
6 0

Answer:

1 6/10

Step-by-step explanation:

you should first turn this fraction into a improper fraction

1 3/5= 8/5

now you multiply the denominator and the numerator by the same number, in this case i am using 2

8/5 times 2/2= 16/10 or 1 6/10  

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Help please. this doesn't make sense ​
saveliy_v [14]

Answer:

a = 39.2650873379cm

b = 11.5529459767cm

Step-by-step explanation:

a - Use the area of a triangle equation -  1/2 * a * b * Sin(C)

1/2 * 8 * 10 * Sin(79) = 39.2650873379cm

b - Use the cosine rule - c^2 = a^2 + b^2 - (2 * a * b * Sin(C)

64 + 100 - (2 * 8 * 10 * Cos(79)) = 133.4705607398

c = square root of 6.9396506484 = 11.5529459767cm

Put to however many significant figures / decimal places required.

:)

5 0
2 years ago
Choose the correct answer to classify each equation or situation below as exponential growth or decay.
inn [45]

Answer:

Exponential Decay

Step-by-step explanation:

Because 7/8 is less than 1, it is exponential decay

5 0
3 years ago
The diameter of a particle of contamination (in micrometers) is modeled with the probability density function f(x)= 2/x^3 for x
natulia [17]

Answer:

a) 0.96

b) 0.016

c) 0.018

d) 0.982

e) x = 2

Step-by-step explanation:

We are given with the Probability density function f(x)= 2/x^3 where x > 1.

<em>Firstly we will calculate the general probability that of P(a < X < b) </em>

       P(a < X < b) =  \int_{a}^{b} \frac{2}{x^{3}} dx = 2\int_{a}^{b} x^{-3} dx

                            = 2[ \frac{x^{-3+1} }{-3+1}]^{b}_a   dx    { Because \int_{a}^{b} x^{n} dx = [ \frac{x^{n+1} }{n+1}]^{b}_a }

                            = 2[ \frac{x^{-2} }{-2}]^{b}_a = \frac{2}{-2} [ x^{-2} ]^{b}_a

                            = -1 [ b^{-2} - a^{-2}  ] = \frac{1}{a^{2} } - \frac{1}{b^{2} }

a) Now P(X < 5) = P(1 < X < 5)  {because x > 1 }

     Comparing with general probability we get,

     P(1 < X < 5) = \frac{1}{1^{2} } - \frac{1}{5^{2} } = 1 - \frac{1}{25} = 0.96 .

b) P(X > 8) = P(8 < X < ∞) = 1/8^{2} - 1/∞ = 1/64 - 0 = 0.016

c) P(6 < X < 10) = \frac{1}{6^{2} } - \frac{1}{10^{2} } = \frac{1}{36} - \frac{1}{100 } = 0.018 .

d) P(x < 6 or X > 10) = P(1 < X < 6) + P(10 < X < ∞)

                                = (\frac{1}{1^{2} } - \frac{1}{6^{2} }) + (1/10^{2} - 1/∞) = 1 - 1/36 + 1/100 + 0 = 0.982

e) We have to find x such that P(X < x) = 0.75 ;

               ⇒  P(1 < X < x) = 0.75

               ⇒  \frac{1}{1^{2} } - \frac{1}{x^{2} } = 0.75

               ⇒  \frac{1} {x^{2} } = 1 - 0.75 = 0.25

               ⇒  x^{2} = \frac{1}{0.25}   ⇒ x^{2} = 4 ⇒ x = 2  

Therefore, value of x such that P(X < x) = 0.75 is 2.

8 0
3 years ago
Which numbers are solutions to the equation 30=x2
GaryK [48]

Answer:

x = +√30

Step-by-step explanation:

Please write 30 = x squared as 30 = x^2.

If x^2 = 30, there are two solutions:  x = +√30 and x = -√30.

Several possible answers are given.    x=30−−√ is closest to the correct one, but must be written as x = √30.  Please ask someone how to find the "√" operator in Brainly.  Or, just write "sqrt(      )" instead.

6 0
3 years ago
A scientist makes $150,000 per year. She deposits 5% of her yearly income in a travel savings account. How much money should she
frez [133]

Answer:

the answer is $7,500.00 or 7500

plz mark me as brainly

Step-by-step explanation:

3 0
3 years ago
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