20)
For which values of x is the inequality 3(1 + x) < x + 6 true?
0 & 1
2 & 3
4&5
6 & 7

0 & 1

Step-by-step explanation:

3(1 + x) < x + 6

Distribute

3x+3 < x+6

Subtract x from each side

3x+3-x < x+6-x

2x+3 <6

Subtract 3 from each side

2x+3-3 <6-3

2x <3

Divide each side by 2

2x/2 <3/2

x <3/2

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

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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