Dan mows 1/4 of his grandmother's lawn and uses 1/2 gallon of gas. what fraction of the lawn can dan mow per gallon?
(a) 1/8
(b) 1/6
(c) 1/2
(d) 3/4

of the grandmother's lawn Dan can mow per gallon.

Option C

Solution:

Given that, mowing uses gallon of gas.

To find: The fraction of the lawn can Dan mow per gallon

According to unitary method,

gallon of gas is required to mow of lawn that is

Therefore, 1 gallon of gas will be required to mow

Therefore, one gallon will be enough to mow of lawn.

Unitary method:

The unitary method is a technique to solve a problem by finding the value of a single unit first, and then finding the required value by multiplying the single unit value. In essence, this method is used to find the value of a unit from the value of a multiple, and hence the value of a multiple.

2nd one in the first row is correct

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: