The Pennington and Williams family each went on road trips this summer. Their mileage is shown in the graph

Which of the following could not be points on the unit circle?

NemiM [27]

A. √(0.8^2) + (0.6^2) = √1 = 1 => OK

b.(-2/3,√ 5/3) = √(-2/3)^2 + 5/9) = √(4/9 +5/9) = √1 = 1 => OK

c.(√ 3/2, 1/3) = √(3/4 + 1/9) < 1 => it is inside the unit circle

d.(1,1) = √(1 + 1) = √2 > 1 => NO. This point is beyond the limits of the unit circle.

4 0

3 years ago

Read 2 more answers

What is the definition of the cosine ratio of an acute angle of a triangle?

Liula [17]

Answer:

I think the answer is the last one

adjacent side / hypotenuse

7 0

3 years ago

Which is the graph of y = _0.4x? A. B. C. D.

cestrela7 [59]

Y = -0.4x

1) It is a straight line
2) I passes through the origin (0,0), because the y-intercpet is 0.
3) The slope is negative, so it passes throuh II and III quadrants
4) The magnitude of the slope = 0.4
4) The angle of the line with the negative side of the x-axis is that whose tan is 0.4 => angle = 21.8 °

With all that information you can identify the graph, given that you didn't include the options.

8 0

3 years ago

A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while

bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = Number of bottles in the sample that are not within specification.

The above situation can be represented through binomial distribution;

$P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....$