Answer:
0.18 ; 0.1875 ; No
Step-by-step explanation:
Let:
Person making the order = P
Other person = O
Gift wrapping = w
P(p) = 0.7 ; P(O) = 0.3 ; p(w|O) = 0.60 ; P(w|P) = 0.10
What is the probability that a randomly selected order will be a gift wrapped and sent to a person other than the person making the order?
Using the relation :
P(W|O) = P(WnO) / P(O)
P(WnO) = P(W|O) * P(O)
P(WnO) = 0.60 * 0.3 = 0.18
b. What is the probability that a randomly selected order will be gift wrapped?
P(W) = P(W|O) * P(O) + P(W|P) * P(P)
P(W) = (0.60 * 0.3) + (0.1 * 0.7)
P(W) = 0.18 + 0.07
P(W) = 0.1875
c. Is gift wrapping independent of the destination of the gifts? Justify your response statistically
No.
For independent events the occurrence of A does not impact the occurrence if the other.
Answer:
1/2
Step-by-step explanation:
y = 1/2x - 1/3
This is written in the form y = mx+b where m is the slope and b is the y intercept.
The slope is 1/2 and the y intercept is -1/3
<h2>The height of the rocket increases for some time and then decreases for some time.</h2>
The height from the ground increases from 4 to 26, then decreases from 26 to 0.
Why the others are wrong.
A. The height of the rocket changes at a constant rate for the entire time.
The graph is a curve. This means the rate is not constant. If it were constant, the graph would be linear - a straight line.
C. The height of the rocket remains constant for some time.
The graph is a curve. This means the rate is not constant. If it were constant, the graph would be linear - a straight line.
D. The height of the rocket decreases for some time and then increases for some time.
This implies the graph decreases first then increases. However, the rocket will increase, then decrease.
Answer:
180°
Step-by-step explanation:
The sum of angles in any triangle is 180°
Answer: ![10\ cm^3](https://tex.z-dn.net/?f=10%5C%20cm%5E3)
Step-by-step explanation:
Given
The surface area of a rectangular prism is ![34\ cm^2](https://tex.z-dn.net/?f=34%5C%20cm%5E2)
Width of prism ![w=1\ cm](https://tex.z-dn.net/?f=w%3D1%5C%20cm)
Length of prism ![l=2\ cm](https://tex.z-dn.net/?f=l%3D2%5C%20cm)
height of prism ![h=x\ cm](https://tex.z-dn.net/?f=h%3Dx%5C%20cm)
Surface area is given by
![S.A.=2[lw+wh+hl]](https://tex.z-dn.net/?f=S.A.%3D2%5Blw%2Bwh%2Bhl%5D)
Put values
![34=2[2\times 1+1\times x+2x]\\17=2+3x\\15=3x\\x=5\ cm](https://tex.z-dn.net/?f=34%3D2%5B2%5Ctimes%201%2B1%5Ctimes%20x%2B2x%5D%5C%5C17%3D2%2B3x%5C%5C15%3D3x%5C%5Cx%3D5%5C%20cm)
Now, the volume of Prism is given by
![V=l\times w\times h](https://tex.z-dn.net/?f=V%3Dl%5Ctimes%20w%5Ctimes%20h)
![\Rightarrow V=2\times1\times 5=10\ cm^3](https://tex.z-dn.net/?f=%5CRightarrow%20V%3D2%5Ctimes1%5Ctimes%205%3D10%5C%20cm%5E3)