Calculate the following percentage A) $200 of $410

The quantity a varies directly with b and c and inversely with d. The quantity d is tripled. Which of the following must be true

Vinvika [58]

Lets name the quantity Q
$Q=k* \frac{b*c}{d} 

When quantity d is tripled, we get




$
$Q=k \frac{b*c}{3d} 

To be the relationship the same, we see that we need to$ $
multiply /numerator / by /3 


$ $Q = k \frac{3bc}{3d} 

So the answer should be 
"The product of c and b must be tripled."$

8 0

2 years ago

Which two equations represent a nonlinear function?

irina [24]

Answer: See below.

Step-by-step explanation:

The formatting is likely incorrect for these two options:

y=(x−1)2, and

y = ( x − − 1 ) 2

I'll assume they were meant to be:

y=(x−1)^2, and

y = ( x + 1 )^2

In this case they would be non-linear, since y depends on the value of $x^{2}$

Use a "^" sign to indicate raised to a power: x^2 means $x^{2}$ .

y=(x−1)2 means y = 2x - 2

y=(x−1)^2 means y = $(x-1)^{2}$

8 0

2 years ago

If copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a yea

Natasha2012 [34]

Answer:

$P(Atleast\ 1) = 0.9999992$

Step-by-step explanation:

Given

$p = 3\%$ --- rate of hard disk drives failure

$n = 4$ --- number of hard disk drives

See comment for complete question

Required

$P(Atleast\ 1)$

First, calculate the probability that the none of the 4 selected is working;

$P(none) = p^4$

$P(none) = (3\%)^4$

$P(none) = (0.03)^4$

Using the complement rule, the probability that at least 1 is working is:

$P(Atleast\ 1) = 1 - P(none)$

This gives:

$P(Atleast\ 1) = 1 - 0.03^4$

$P(Atleast\ 1) = 0.9999992$

5 0

2 years ago

Consider a small ferry that can accommodate cars and buses. The toll for cars is $3, and the toll for buses is $10. Let X and Y

harina [27]

Answer:

Expected revenue from the single trip is $ 13.14

Step-by-step explanation:

y

p(x,y) 0 1 2 g(x)

x 0 0.025 0.015 0.010 0.05

1 0.050 0.030 0.020 0.1

2 0.115 0.075 0.050 0.24

3 0.150 0.090 0.060 0.3

4 0.100 0.060 0.040 0.2

h(y) 0.325 0.27 0.18

E (x+Y) = E(X) +E(Y)

E(X)= ∑ xi g(x)i

= ( 0*0.05) + (1*0.1) + (2* 0.24) + (3*0.3) + (4*0.2)

= 0 + 0.1+ 0.48 + 0.9+0.8

=2.28

E(Y)= ∑yi h(y)

= (0* 0.325) + (1*0.27) + (2*0.18)

= 0 +0.27+ 0.36

= 0.63

E (x+Y) = E(X) +E(Y)

= 2.28 + 0.63

= 2.91

But the equation is 3x+ 10y

E(3x+ 10y)= 3E(x) + 10 E(y)

= 3(2.28) + 10 (0.63)

= 6.84 +6.3

= 13.14

Expected revenue from the single trip is $ 13.14

5 0

2 years ago

Write the expression of polynomial a given the roots:

Liono4ka [1.6K]

Answer:

So it looks like the given zeros are 2i and -3. We have to work backwards.

x = -3 and x = 2i

For -3, we know that out factored form before would have been x + 3

For 2i, that means we took the square root of negative number because it is imaginary. So that means out factored for x2 + 4

So if we put these together:

(x2 + 4)(x + 3) = x3 + 3x2 + 4x + 12

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4 0

2 years ago

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