(8c+2a)(4+b)
(8c)(4)+(8c)(b)+(2a)(4)+(2a)(b)
32c+8bc+8a+2ab
2ab+8bc+8a+32c
Answer:
Diameter is 11cm, and the radius is 5.5
Step-by-step explanation:
To get the radius, just divide the size of the circle by 2
Diameter is the same size as the circle
Answer:
Yes there is sufficient evidence.
Null hypothesis; H_o ; μ = 445
Alternative hypothesis; H_o ; μ ≠ 445
Step-by-step explanation:
The null hypothesis states that there is no difference in the test which is denoted by H_o. However, the sign of null hypothesis is denoted by the signs of = or ≥ or ≤.
Meanwhile, the alternative hypothesis is one that defers from the null hypothesis. This therefore implies a significant difference in the test. Thus, the signs of alternative hypothesis is denoted by; < or > or ≠.
Now, the question we have is a two tailed test. Thus;
The null hypothesis is;
bag filling machine works correctly at the 445 gram setting which is;
H_o ; μ = 445
The alternative hypothesis is;
bag filling machine works incorrectly at the 445 gram setting which is;
H_o ; μ ≠ 445
Answer:
steps below
Step-by-step explanation:
<u>(x , y)</u> --> (y , -x) rotated 270 degrees counterclockwise
(y , -x) --> (x , -y) reflected across the line y= -x
(x , -y) --> <u>(-x , -y)</u> reflected across the y axis
║
(x , y) --> (-x , -y) rotating (x, y) 180 degrees
Answer:
<em>The length of the actual ship is 125 meters.</em>
Step-by-step explanation:
<u>Scaling</u>
Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling for example, when representing geographic locations on a map.
A model ship is built to a scale of 1 cm: 5 m. This means that each centimeter of the model represents an actual length of 5 m.
The length of the model is 25 cm, thus the real ship has a length of 25*5 = 125 m.
The length of the actual ship is 125 meters.