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nevsk [136]
3 years ago
10

Suppose that the probabilities that an answer can be found on Google is .95, on Answers is .92, and on both Web sites is .874. A

re the possibilities of finding the answer on the two Web sites independent? a) Yes, because (.95)(.92) = .874 b) No, because (.95)(.92) = .874 c) Yes, because .95 > .92 > .874 d) No, because .5(.95+.92) ≠ .874 e) Cannot be answered with this information
Mathematics
1 answer:
Assoli18 [71]3 years ago
5 0

Answer:

The correct option is

a) Yes, because (0.95)(0.92) = 0.874

Step-by-step explanation:

An event is independent if the following condition is satisfied

P(A\bigcap B)= P(A)P(B)

Therefore, since the the probability that the answer can be found in Google = 0.95 and the probability that the answer can be found in Answers = 0.92

The probability that the answer can be found on both websites,  

P(A\bigcap B) = 0.874

We check, P(A) × P(B) = 0.95×0.92 = 0.874 = P(A\bigcap B) = 0.874

Therefore, the possibilities of finding the event on the two websites is independent.

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Look at the graph of x2 - 4x + 4. What is the vertex?
lara31 [8.8K]

Answer:

The formula for the vertex of the parabola is -b/a. Plugging this in we get         -(-4)/1 or 4.

6 0
2 years ago
A sporting goods sold 2.5 times as many football as basketball last year drag footballs to represent the number of football sold
arlik [135]

Answer:

<em>5 footballs were sold for every 2 basketballs sold.</em>

Step-by-step explanation:

2.5 times as many football as basketball was sold last year

This can be represented as

1 basket ball sold = 2.5 footballs sold

for every 2 basketball sold, number of football sold = 2.5 x 2 = <em>5 footballs</em>

4 0
3 years ago
Someone please help with this.​
morpeh [17]

Answer:

8.2

Step-by-step explanation:

7 0
3 years ago
An open top rectangular box is to be made from a rectangular piece of metal that is 3cm wide and 8cm long by cutting a square fr
Tanzania [10]

Answer:

x  = 0.67 cm

Step-by-step explanation:

Let call  " x " the length of the side of the square to cut from each corner

then the sides of the future box would be

L = 8 - 2x       and   D = 3 - 2x

The volume of the box is:

V = L*D*x

And such volume as function of x is

V(x)  = ( 8 - 2x ) * ( 3 - 2x ) * x     ⇒  V(x)  = ( 24 - 16x - 6x + 4x²) * x

V(x)  =  4x³ - 22x² + 24x

Taking derivatives on both sides of the equation we get:

V´(x) = 12x² - 44x + 24

Then    V´(x) = 0       ⇒   12x² - 44x + 24 = 0    ⇒  3x² -  11x + 6 = 0

We got a second degree equation solving for x

x₁,₂  = [11 ± √ 121 - 72 ] / 6

x₁  = ( 11 + 7 ) / 6         x₁  =  3   we dismiss this solution since according to problem statement  one side would become negative

Then

x₂  =  (  11 - 7 ) / 6    ⇒    x₂  =  4/6      ⇒   x₂  =  0.67 cm

As the second drivative is smaller than 0 then there is a maximun in that point

V´´(x)  = 12x - 44  < 0

Sides of the box

L = 8 - 2x    ⇒  L = 8 - 2*(0.67)   ⇒  L  = 8  - 1.34    ⇒  L = 6.66 cm

D = 3 - 2x   ⇒   D = 3 - 2* (0.67) ⇒  D = 3 - 1.34    ⇒   D = 1.66 cm

Heigh  =  x  = 0.67 cm

V(max) = 6.66*1.66*0.67

V(max) = 7.41 cm³

5 0
3 years ago
Triangle ABC had vertices A(0,0),B(3,3),C(6,0). Write the equation of the line containing the altitude AR.
rjkz [21]

The answer is y = x

good luck!!

7 0
3 years ago
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