Rachel buys 1.5 pounds of grapes. She eats 0.3 of that amount on Tuesday and 0.2 of that amount on Wednesday. How many pounds of
1 answer:
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Step-by-step explanation:
6 customers per hour (given mean)
Pdf is given by:
Pdf:
for
a)
&\text { c) }\\
&P(8<X<15)\\
&\begin{array}{l}
=P(X<15)-P(X<8) \\
=(1-\exp (-15 / \beta))-(1-\exp (-8 / \beta)) \\
=\exp (-8 / \beta)-\exp (-15 / \beta) \\
=e^{-0.8}-e^{-1.5} \\
=0.449329-0.22313 \approx 0.226199 \approx 0.2262 \\
\quad P(8<X<15)=0.2262
\end{array}
\end{aligned}
\begin{aligned}
&\text { d) }\\
&\begin{array}{l}
P(14<X<22) \\
=P(X<22)-P(X<14) \\
=(1-\exp (-22 / \beta))-(1-\exp (-14 / \beta)) \\
=\exp (-14 / \beta)-\exp (-22 / \beta) \\
=e^{-1.4}-e^{-2.2} \\
=0.246597-0.110803 \approx 0.135794 \approx 0.1358 \\
P(X<14 \cup X>22)=1-P(14<X<22)=1-0.1358=0.8642 \\
P(X<14 \cup X>22)=0.8642
\end{array}
\end{aligned}
Answer:
21). WX = 10
22). VW = 22
23). WY = 20
24). VX = 32
25). WZ = 30
26). VY = 42
Step-by-step explanation:
In the figure attached,
V, W, X, Y and Z are collinear.
VZ = 52, XZ = 20 and WX = XY = YZ
21). Since XZ = 20
XY + YZ = 20
WX + WX = 20 [Since, XY = WX = YZ]
2(WX) = 20
WX = 10
22). VZ = VW + WX + XY + YZ = 52
VW + 3(YZ) = 52 [Since, WX = XY = YZ]
VW + = 52
VW + = 52
VW = 52 - 30 = 22
23). WY = WX + XY
= 2(WX)
= 20
24). VX = VW + WX
= 22 + 10
= 32
25). WZ = 3(WX)
= 30
26). VY = VZ - YZ
= 52 - 10
= 42