85% of a number is added to 24, the result is the same number find the number.

A company manufacturing oil seals wants to establish X and R control charts on the process. There are 25 preliminary samples of

alisha [4.7K]

Answer:

A ) i) X control chart : upper limit = 50.475, lower limit = 49.825

ii) R control chart : upper limit = 1.191, lower limit = 0

Step-by-step explanation:

A) Finding the control limits

grand sample mean = 1253.75 / 25 = 50.15

mean range = 14.08 / 25 = 0.5632

Based on X control CHART

The upper control limit ( UCL ) =

grand sample mean + A2* mean range ) = 50.15 + 0.577(0.5632) = 50.475

The lower control limit (LCL)=

grand sample mean - A2 * mean range = 50.15 - 0.577(0.5632) = 49.825

Based on R control charts

The upper limit = D4 * mean range = 2.114 * 0.5632 = 1.191

The lower control limit = D3 * mean range = 0 * 0.5632 = 0

B) estimate the process mean and standard deviation

estimated process mean = 50.15 = grand sample mean

standard deviation = mean range / d2 = 0.5632 / 2.326 = 0.2421

note d2 is obtained from control table

6 0

2 years ago

Word problem for (2t+5)-t=26

SCORPION-xisa [38]

For this case we must pose a verbal problem equivalent to the following expression:

$(2t + 5) -t = 26$

So, we have:

$(2t + 5):$ The sum of double a number plus five.

We propose the expression:

A number subtracted from the sum of double the same number plus five equals twenty-six.

Answer:

A number subtracted from the sum of double the same number plus five equals twenty-six.

4 0

2 years ago

Read 2 more answers

Which function is the inverse of f Superscript negative 1 Baseline (x) = negative one-half x minus three-halves?

aleksley [76]

I think the answer would be f-1(x)= 1/2x-3/2

4 0

2 years ago

Read 2 more answers

A football player kicks a football downfield. The height of the football increases until it reaches a maximum height of 15 yards

tino4ka555 [31]

Answer:

kick 1 has travelled 15 + 15 = 30 yards before hitting the ground

so kick 2 travels 25 + 25 = 50 yards before hitting the ground

first kick reached 8 yards and 2nd kick reached 20 yards

Step-by-step explanation:

1st kick travelled 15 yards to reach maximum height of 8 yards

so, it has travelled 15 + 15 = 30 yards before hitting the ground

2nd kick is given by the equation

y (x) = -0.032x(x - 50)

$y = 1.6 x - 0.032x^2$

we know that maximum height occurs is given as

$x = -\frac{b}{2a}$

$y = - \frac{1.6}{2( - 0.032)} = 25$

and maximum height is

$y = 1.6(25) - 0.032 (25)^2$

y = 20

so kick 2 travels 25 + 25 = 50 yards before hitting the ground

first kick reached 8 yards and 2nd kick reached 20 yards

6 0

2 years ago

a jogger runs 218 meters eastward then 72 meters westard then 62 meters eastward and finally 184 meters westward. For this motio

iris [78.8K]

Answer:

Total distance = 536 m

Total displacement = 24 m

Step-by-step explanation:

Distance and Displacement

A moving object constantly travels for some distance at defined periods of time. The total moved distance is the sum of each individual distance the object traveled. It can be written as:

dtotal=d1+d2+d3+...+dn

This sum is obtained independently of the direction the object moves.

The displacement only takes into consideration the initial and final points of the path defined by the object in its moving. The displacement, unlike distance, is a vectorial magnitude and can be even zero if the object starts and ends the movement at the same point.

For the question at hand, it's not known if the requirement is about the distance or the displacement, so we will compute both.

To compute the distance, we just add all the distances:

dtotal= 218 m + 72 m + 62 m + 184 m = 536 m

To compute the displacement, we must establish a positive direction as desired. Let's choose the east as the positive direction. Any movement eastward is considered positive and any movement westward is negative. We mentioned the displacement is a vector, but since we only have movement in the x-axis, we can only manage the signs. Thus, the total displacement is:

xtotal = 218 m - 72 m + 62 m -- 184 m = 24 m

Since the result is positive, the jogger stopped 24 meters eastward form the original point.

4 0

2 years ago

85% of a number is added to 24, the result is the same number find the number. ​

85% of a number is added to 24, the result is the same number find the number.