you need to buy new soil for your garden. find the area of the garden. use the dimensions show in the picture.

a.) 95 square meters
47.25 square meters
190 square meters
57.25 square meters

A) 95m²

Step-by-step explanation:

Since the garden is in the shape of a triangle, use the formula for area of a triangle. A = bh/2 or A = 1/2 bh

"A" is for area.

"b" is for base.

"h" is for height.

The area of a triangle is base times height divided by two or half times base times height. Dividing by 2 and multiplying by 1/2 are the same.

The base of the garden is 19m and the height is 10m. The height is always perpendicular (90°) to the base and meet the vertex opposite to the base.

b = 19m

h = 10m

Substitute (replace) the variables in the formula with the values.

A = bh/2

A = (19m)(10m)/2    Multiply 19m and 10m. Don't forget to multiply the units.

A = (190m²)/2         Divide by 2.

A = 95m²             Area of garden

When you multiply numbers with units, multiply the numbers, then multiply the units. Add the exponents for the units. The exponent for meters is 1, and 1 + 1 = 2. (m X m = m²)

Therefore, the area of the garden is 95 square meters.

26 is 33.33% of 78

step-by-step explanation:

26 is what percent of 78?

26 is p% of 78

equation: y = p% * x

solving our equation for p

p% = y/x

p% = 26/78

p = 0.3333

convert decimal to percent:

p% = 0.3333 * 100 = 33.33%

irst, find the z score of a score of 80. this is given by the formula z = (x-u)/o, where x is the score, u is the mean, and o is the standard deviation. this gives

z = (80-78)/12 = 1/6 = .1667

now, find what percentile a z score of 1/6 correlates to in the normal distribution.

a z score of 1/6 = .1667 is equivalent to the 56.36th percentile of the distribution. so the probability a score is over this is 1-.5636 = .4364

the mean of a sample mean is equal to the original mean. however, the standard deviation of a sample mean is equal to the original standard deviation divided by the square root of n (sample size). so the new standard deviation is 12/sqrt(16) = 3.

the new z score is 80-78/3 = 2/3 = .667. this is equivalent to the 74.86th percentile. so the probability that the mean will be greater than this score is 1-.7486 = .2514.