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Naily [24]
3 years ago
8

Please help really confused on all

Mathematics
1 answer:
ollegr [7]3 years ago
5 0
\left \{ {{x - y = 1.50} \atop {40x + 40y = 940}} \right.  
 \\ \\
*x - y = 1.50

x = 1.50 + y

*40x + 40y = 940
40 (1.50 + y) + 40y = 940
60 + 40y +40y = 940
60 + 80y = 940
80y = 940 - 60
80y = 880
y = 880/80
y = 11

*
x - y = 1.50
x - 11 = 1.50
x = 1.50 + 11
x = 12.5

x=DAVID
Y=PETER
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Answer:

(a) mean = 377.5ml. standard deviation = 4.33

(b) 0.333

(c) 384.25 ml

Step-by-step explanation:

(a)The mean:

\mu = \frac{385 + 370}{2} = 377.5 ml

The standard deviation:

\sigma = \frac{385 - 370}{\sqrt{12}} = 4.33

(b)

P(x < 375) = \frac{375 - 370}{385 - 370} = \frac{1}{3} \approx 0.333

(c)P(x > m) = 0.95

\frac{m - 370}{385 - 370} = 0.95

m - 370 = 14.25

m = 384.25ml

So the volumn of shampoo should be 384.25ml to exceed 95% of containers.

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3 years ago
Fran swims at a speed of 2.8 mph in still water. The Lazy River flows at a speed of 0.8 mph. How long will it take Fran to swim
Elis [28]

Answer:

1.49 hrs or 1 hr and 30 minutes approximately

Step-by-step explanation:

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so if he go up 4m then the horizontal length has to be 1.143 because 1.143/4 = 0.286.

now we find the distance between frans initial positon and final position. to find it we use pythagoras theorem.

\sqrt{(4^2 + 1.143^2)} =4.160 miles

to find the time divide distance traveled by speed;

4.160/2.8 = 1.49 hrs

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