Given:

Uniform distribution of length of classes between 45.0 to 55.0 minutes.

To determine the probability of selecting a class that runs between 51.5 to 51.75 minutes, find the median of the given upper and lower limit first:

45+55/2 = 50

So the highest number of instances is 50-minute class. If the probability of 50 is 0.5, then the probability of length of class between 51.5 to 51.75 minutes is near 0.5, approximately 0.45.

3 0

3 years ago

Simplify 5+ W equals eight

shepuryov [24]

Answer:

Step-by-step explanation:

5+3=8

8-5=w

3 0

3 years ago

A farmer raises only ducks and pigs. There are 55 animals in all on his farm, and 146 legs.

nordsb [41]

Answer:

Number of ducks = 37

Number of pigs = 18

Step-by-step explanation:

Let,

x be the number of ducks

y be the number of pigs

According to given statement;

x+y=55 Eqn 1

2x+4y=146 Eqn 2 (As ducks will have 2 legs and pigs will have 4)

Multiplying Eqn 1 by 2

2(x+y=55)

2x+2y=110 Eqn 3

Subtracting Eqn 3 from Eqn 2

(2x+4y)-(2x+2y)=146-110

2x+4y-2x-2y=36

2y=36

Dividing both sides by 2

$\frac{2y}{2}=\frac{36}{2}\\y=18$

Putting y=18 in Eqn 1

x+18=55

x = 55-18

x = 37

Hence,

Number of ducks = 37

Number of pigs = 18

8 0

3 years ago

Help -9x + 3.0 > 6.6 Group of answer choices x 0.4 x 2.4

Y_Kistochka [10]

Answer:

x 0.4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

3 0

3 years ago