14. 5
15. 2
16. -10
17. -3
18. 1
19. -20
1110 minutes it would take her to eat that many hot dogs...and man is she a fast eater.
10•12= 120
so 120 is your answer
Answer:
(1-33/100)x and 0.67x
Step-by-step explanation:
33% is 33 out of 100, or 33/100. Since the new recipe has 33%, or 33/100, less sodium, this means we take x, the amount in the old soup, and subtract 33/100 from it:
1 - 33/100 would represent the percent of sodium remaining, and x is the original amount, giving us (1-33/100)x.
If we write this percent as a decimal, we get 0.33. Taking this away from 100%, which is written in decimal form as 1, we get
1 - 0.33 = 0.67
Now we multiply this by the original amount of sodium, x:
0.67x
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}