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3 years ago

Michael estimated his mass as 8 kg is his estimate reasonable

1 answer:

5 0

You'll need to know how 1 kg relates to the more familiar Kg:

1 Kg = approx. 2.2 lb.

Convert 8 Kg into lb. and then ask yourself whether the resulting weight, in lb., is reasonable for a male high school student.

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A detergent company periodically tests its products for variations in the fill weight. To do this, the company uses x-bar and R

maw [93]

Answer:

10.9361

Step-by-step explanation:

The lower control limit for xbar chart is

xdoublebar-A2(Rbar)

We are given that A2=0.308.

xdoublebar=sumxbar/k

Rbar=sumR/k

xbar R

5.8 0.42

6.1 0.38

16.02 0.08

15.95 0.15

16.12 0.42

6.18 0.23

5.87 0.36

16.2 0.4

Xdoublebar=(5.8+6.1+16.02+15.95+16.12+6.18+5.87+16.2)/8

Xdoublebar=88.24/8

Xdoublebar=11.03

Rbar=(0.42+0.38+0.08+0.15+0.42+0.23+0.36+0.4)/8

Rbar=2.44/8

Rbar=0.305

The lower control limit for the x-bar chart is

LCL=xdoublebar-A2(Rbar)

LCL=11.03-0.308*0.305

LCL=11.03-0.0939

LCL=10.9361

8 0

3 years ago

El ancho de un rectángulo es 15 pies menos que

Karolina [17]

Answer:

II. Longitud, L = 70 metros.

I. Ancho = 55 metros.

Step-by-step explanation:

Deje que la longitud del rectángulo sea L.

Deje que el ancho del rectángulo sea W.

Dados los siguientes datos;

Perímetro del rectángulo = 250 m

Traduciendo el problema verbal a una expresión algebraica, tenemos;

W = L - 15

Matemáticamente, el perímetro de un rectángulo viene dado por la fórmula;

P = 2 (largo + ancho)

250 = 2 (L + L - 15)

250 = 2 (2L - 15)

250 = 4L - 30

4L = 250 + 30

4L = 280

L = 280/4

Longitud, L = 70 m

Para encontrar el ancho;

W = L - 15

W = 70 - 15

Ancho = 55 m

3 0

3 years ago

A contractor is calculating the number of decorative stones for a new rectangular patio. The bids always include a count for the

babunello [35]

Answer:

The number of edge stones needed has a constant rate of change, but the number of stones for the center does not.

Step-by-step explanation:

The complete question is shown in the picture attached below.

Two functions E(x) and C(x) are given in the table along with some of the function values. We have to identify if any of these functions show constant rate of change or not.

By constant rate of change we mean that the slope is constant or in other words, a linear relationship is shown by the function. For a Linear function, the first differences of the function values are same.

By first differences we mean the difference between two consecutive output values. We can see that difference between consecutive input values is constant i.e. 1. If the difference between consecutive output values of any of the functions is same, then that function will be a Linear Function and, therefore, the rate of change for that function will be constant.

Lets analyze E(x) first. The output values are:

34, 52, 70 and 88

The difference between consecutive output values is:

18, 18 and 18

Since, this difference is constant, we can conclude that E(x) is a Linear function with a constant rate of change.

Now lets analyze C(x). The output values are:

62, 133, 260 and 435

The difference between consecutive output values is:

71, 127 and 175

Since, the differences are not constant, C(x) is not a Linear Function and , therefore, the rate of change of C(x) is not constant.

Conclusion:

The number of edge stones which is represented by E(x) has a constant rate of change, but the number of stones for center which is represented by C(x) does not have constant rate of change. This makes the first option our correct answer.