MATHEMATICS
HIGH SCHOOL

Answer: TRUE IS THE CORRECT ANSWER

HIGH SCHOOL

How many positive integers less than 10,000 are such that the product of their digits is 210?

210=1*2*3*5*7=1*6*5*7 (2*3 =6)

Those are the only sets of numbers that can be used (any other combination of factors will have two digit answers).

Numbers using 2,5,3,7 = 4! = 4 x 3 x 2 = 24

Numbers using 5,6,7,1 = 4! = 4 x 3 x 2 = 24

Numbers using 5,6,7 = 3! = 3 x 2 = 6

24+24+6 = 54

COLLEGE

A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of 30 thousand miles and a standard deviation of 10 thousand miles. complete parts (a) through (c) below. a. nbsp what proportion of trucks can be expected to travel between 18 and 30 thousand miles in a year?

To solve this problem, we have to make use of the z statistic. The formula for z score is:

z = (x – u) / s

where x is the sample value = 18,000 to 30,000, u is the sample mean = 30,000, and s is the standard deviation = 10,000

at x = 18,000

z = (18,000 – 30,000) / 10,000 = - 1.2

at x = 30,000

z = (30,000 – 30,000) / 10,000 = 0

So find for the P at values of z = -1,2 and z = 0.

P (z = - 1.2) = 0.1151

P (z = 0) = 0.5000

The proportion in between is the difference:

P (18,000 < x < 30,000) = 0.5000 – 0.1151 = 0.3849

So about 38.49% can be expected to travel 18,000 to 30,000 miles in a year

HIGH SCHOOL

Alan is putting weed killer on a field to get it ready for planting. the directions on the can say to use 4/5 of a quart for each acre of land. how much weed killer will alan need for two fields one that is 22 1/2 acres and one is that 38 1/4 acres?

If you would like to know how much weed killer will Alan need for two fields, you can calculate this using the following steps:

two fields: 22 1/2 acres + 38 1/4 acres = 45/2 + 153/4 = 90/4 + 153/4 = 243/4 = 60.75 acres

4/5 of a quart = 0.8 quart ... 1 acre of land

x quarts = ? ... 60.75 acres of land

0.8 * 60.75 = 1 * x

x = 0.8 * 60.75

x = 48.6 quarts

The correct result would be 48.6 quarts of weed killer.

two fields: 22 1/2 acres + 38 1/4 acres = 45/2 + 153/4 = 90/4 + 153/4 = 243/4 = 60.75 acres

4/5 of a quart = 0.8 quart ... 1 acre of land

x quarts = ? ... 60.75 acres of land

0.8 * 60.75 = 1 * x

x = 0.8 * 60.75

x = 48.6 quarts

The correct result would be 48.6 quarts of weed killer.

Answer:

48 3/5

Step-by-step explanation:

MIDDLE SCHOOL

A triangle has 2 angles that each measure 84°.

What kind of triangle is it?

Answer:

The answer is acute triangle

[ Answer ]

[ Explanation ]

Angle One - 84°

Angle Two - 84°

84° + 84° = 168°

Obtuse Angle: An Angle That Is Greater Than 90° And Less Than 180°

Isosceles Triangle: The Two Angles On The Bottom Are The Same Length.

168° is 70 more than 90, and 12 less than 180.