Answer:
x ≤ 1
Step-by-step explanation:
8 + 4x 12
4x 12 - 8
4x ≥ 4
Dividing both sides by 4 gives;
x ≤ 1
natalie uses a 15% off coupon when she buys a camera the original price off the camera is 45.00 how much money does natalie save
1 answer:
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Answer:
the length of PQ is equal to the length of P'Q'
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Translation is the movement of a point either up, down, right or left. Translation is a type of rigid transformation. Rigid transformation is a transformation in which both the image and pre-image have the same shape and size. types of rigid transformation are rotation, reflection and translation.
Quadrilateral PQRS is translated to the left by 4 units to obtain another quadrilateral P᾿Q᾿R᾿S᾿. Since translation is a rigid transformation, the shape and size of PQRS is the same as that of P'Q'R'S. Hence the length of PQ is equal to the length of P'Q'.
Answer:
The probability that a light bulb of that brand lasts between 1175 hr and 1610 hr is 0.8524.
Step-by-step explanation:
Given : Suppose a brand of light bulbs is normally distributed, with a mean life of 1400 hr and a standard deviation of 150 hr.
To find : The probability that a light bulb of that brand lasts between 1175 hr and 1610 hr ?
Solution :
Applying z-score formula,
where, is population mean
is standard deviation
For x=1175 hour,
For x=1610 hour,
The required probability is,
Using z table, the values are
The probability that a light bulb of that brand lasts between 1175 hr and 1610 hr is 0.8524.