MATHEMATICS
COLLEGE

Answer:

Answer:

...the size tolerance controls both the measurements or dimensions of a piece, and the size.

Step-by-step explanation:

However, dimensional tolerance controls neither the shape, nor the position, nor the orientation of the elements to which said tolerance applies. In manufacturing, geometric irregularities occur that can affect the shape, position or orientation of the different elements of the pieces. An applied dimensional tolerance, for example, has an effect on the parallelism and flatness of that piece.

MIDDLE SCHOOL

Find all possible answers and check your solutions.Solve equation. a. |x| = 7 b. |2x| = 32

c. |x+7| = 10 d. |x| = 53.1

A.

lxl=7

x=7 x=-7 (Take two cases, one as the others side negative and the other as positive)

B.

l2xl=32

2x=32 2x=-32

x=16 x=-16

C.

lx+7l=10

x+7=10 x+7=-10

x=3 x=-17

D.

lxl=53.1

x=53.1 x=-53.1

lxl=7

x=7 x=-7 (Take two cases, one as the others side negative and the other as positive)

B.

l2xl=32

2x=32 2x=-32

x=16 x=-16

C.

lx+7l=10

x+7=10 x+7=-10

x=3 x=-17

D.

lxl=53.1

x=53.1 x=-53.1

A. x=7,-7

Verification: l7l=7 l-7l=7

b. l2xl=32

/2 /2

lxl=16,-16

Verification: l2(16)l=32 l2(-16)l=32

l32l=32 l-32l=32

32=32

c. lx+7l=10

-7 -7

lxl=3

Verification: l3+7l=10

l10l=10

d. lxl=53.1,-53.1

Verification: l53.1l=53.1 l-53.1l=53.1

53.1=53.1

HOPE THIS HELPS!!!

Verification: l7l=7 l-7l=7

b. l2xl=32

/2 /2

lxl=16,-16

Verification: l2(16)l=32 l2(-16)l=32

l32l=32 l-32l=32

32=32

c. lx+7l=10

-7 -7

lxl=3

Verification: l3+7l=10

l10l=10

d. lxl=53.1,-53.1

Verification: l53.1l=53.1 l-53.1l=53.1

53.1=53.1

HOPE THIS HELPS!!!

MIDDLE SCHOOL

Find the equation f(x) = a(x - h)2 + k for a parabola containing point (3, 6) and having (1, -2) as a vertex. What is the standard form of the equation?

f(x) = 2 -4x

Step-by-step explanation:

Step 1 :

Given, f(x) = a(x - h)2 + k

Point on the parabola is (3, 6)

Vertex (h,k) = (1,-2)

Step 2:

Substituting the vertex in the equation we have,

f(x) = a(x-1)2 -2

Substituting the point (3,6) in this we have,

6 = a(3-1)2 - 2 => 6 = 4a -2

=> 4a = 8 => a = 2

Step 3 :

Substituting the value for a and the vertex in the given equation we have

f(x) = 2(x-1)2 -2 = 2(x2 - 2x + 1) -2 = 2x2 - 4x

=> f(x) = 2 -4x which is the standard form

COLLEGE

The heights of women aged 20 to 29 are approximately normal with mean 64 inches and standard deviation 2.7 inches. Men the same age have mean height 69.3 inches with standard deviation 2.8 inches. a) What is the z-scores for a woman 6 feet tall? b) What is the z-scores for a man 6 feet tall? c) What information do the z-scores give that the actual heights do not? d) What percent of men are shorter than 5 feet, 5 inches tall? e) What percent of women are over 6 feet, 1 inch tall? f) Find the interquartile range for the height of women aged 20-29.

Answer:

Step-by-step explanation:

X - Heights of women aged 20 to 29: X is N(64, 2.7)

Y - Heights of men aged 20 to 29: X is N(69.3, 2.8)

a) X=6'=72"

Z=

b) Y = 72"

z=

c) 72' women can be taken as very tall but men moderately taller than average

d) Y

Almost 0% can be taken

f) IQR =Q3-Q1

Z scores =

MIDDLE SCHOOL

What is 127,034 rounded to the nearest ten thousand

127,034 rounded to the nearest ten thousands is 130,000.