What is the missing leg length

36 km

Step-by-step explanation:

This is a right triangle so we can use Pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse

27^2+ b^2 = 45^2

729+b^2 =2025

Subtract 729 from each side

729-729+b^2 =2025-729

b^2 =1296

Take the square root of each side

b =sqrt(1296)

b=36

36

Step-by-step explanation:

a2+b2=c2

a2+27^2=45^2

a2+729=2025

a2=1296

then square root that number to get

a=36

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation:

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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