Answer:
Quantitative
Discrete
Ratio
Step-by-step explanation:
The number of days traveled by randomly selected employees is a quantitative variable because it can be presented meaningful numerical form and further the number of days traveled by randomly selected employees are discrete because the number of days can be counted. Now, the level of measurement for the variable "number of days traveled by employees" is ratio scale because it has a meaningful zero. Meaningful zero in this case will means that none of the day is spent on travelling.
HI I JUST DID THE FIRST ONE . SORRY I CAN'T ANSWER THE 5TH AND6th IT'S HARD
A transformation is rigid if the original shape remains the same shape and size after the transformation.
Flipping a pancake:
After it is flipped, the pancake should stay the same size and shape, so it is a rigid motion and it is a rotation.
Deflating an air mattress:
Deflating a mattress changes its size, so the transformation is not rigid. This is called a dilation.
Moving a clock's minute hand:
Moving the minute hand does not change the hand's size or shape so the transformation is rigid. This transformation is a combination of a translation and a rotation. The translation is what moves the hand around the center of the clock, and the rotation is what changes the direction of the hand.
Enlarging a photo:
Enlarging a photo changes the photo's size, so this transformation is not rigid. This is called dilation.
Putting a golf ball:
Putting does not change the size or shape of a golf ball, so this transformation is rigid. Putting a golf ball both rotates and moves the ball, so the transformation is rotation and translation.
Looking in a car's rear view mirror:
Assuming the car is moving relative to something behind it(because otherwise there would be no transformation), As things come closer to the back of the car, they would appear larger in the mirror, and as things move away from the back of the car, they would appear smaller in the mirror. Because the size changes when looking at the mirror, this is not a rigid transformation and is called dilation.
Answer:
5.4 > x > 2.8
Step-by-step explanation:
Sum of two sides is always greater than the third side
Case1 :
4.1 + 1.3 > x
5.4 > x
Case2:
4.1 + x > 1.3 or 1.3 + x > 4.1
x > 1.3 - 4.1 or x > 4.1 - 1.3
x > - 2.8 or x > 2.8
Note that it is obvious x is not -ve so neglect -2.8. x > 2.8
Hence,
5.4 > x > 2.8
