What is the Greatest Common Multiple of 10 and 12

Mathematics

2 answers:

horsena [70]3 years ago

7 0

2 is the answer! :)

Hope this helps

Dima020 [189]3 years ago

4 0

The answer is 2..................

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What is the value of y = 3x -1 when x is equal to 4?

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melamori03 [73]

A) Garage A = 3x
Garage B = 2x + 2
b) 2x + 2 = 3x
x = 2
c) the solution, 2, means the number of hour which both garages would have the equal amount of cost. In this case, in 2 hours, they would be equal in cost.

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2 years ago

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A group of students weighs 500 US pennies. They find that the pennies have normally distributed weights with a mean of 3.1g and

inysia [295]

Question 1

probability between 2.8 and 3.3

The graph of the normal distribution is shown in the diagram below. We first need to standardise the value of X=2.8 and value X=3.3. Standardising X is just another word for finding z-score

z-score for X = 2.8
$z= \frac{2.8-3.1}{0.41} =-0.73$ (the negative answer shows the position of X = 2.8 on the left of mean which has z-score of 0)

z-score for X = 3.3
$z= \frac{3.3-3.1}{0.41}=0.49$

The probability of the value between z=-0.73 and z=0.49 is given by
P(Z<0.49) - P(Z<-0.73)

P(Z<0.49) = 0.9879
P(Z< -0.73) = 0.2327 (if you only have z-table that read to the left of positive value z, read the value of Z<0.73 then subtract answer from one)

A screenshot of z-table that allows reading of negative value is shown on the second diagram

P(Z<0.49) - P(Z<-0.73) = 0.9879 - 0.2327 = 0.7552 = 75.52%

Question 2
Probability between X=2.11 and X=3.5

z-score for X=2.11
$z= \frac{2.11-3.1}{0.41}=-2.41$

z-score for X=3.5
$z= \frac{3.5-3.1}{0.41} =0.98$

the probability of P(Z<-2.41) < z < P(Z<0.98) is given by
P(Z<0.98) - P(Z<-2.41) = 0.8365 - 0.0080 = 0.8285 = 82.85%

Question 3
Probability less than X=2.96

z-score of X=2.96
$z= \frac{2.96-3.1}{0.41}=-0.34$
P(Z<-0.34) = 0.3669 = 36.69%

Question 4
Probability more than X=3.4
$z= \frac{3.4-3.1}{0.41}=0.73$
P(Z>0.73) = 1 - P(Z<0.73) = 1-0.7673=0.2327 = 23.27%