A line segment has endpoints at (2, -3) and (5,-3). What is the equation of the perpendicular bisector of the line segment?

Lara wants to inscribe a square in a circle using only a compass and straightedge. She will first construct a circle and locate

Mamont248 [21]

In Step 2, Lara did not ensure that the second diamter was perpendicualr to the first diameter she drew.

The correct steps should be:

Step 1: Use the straightedge to draw a diameter of the circle. Label the points at which the diameter touches the circle as A and B.

Step 2: Draw a second diameter perpendicular to the first diameter. Label the points at which the second diameter touches the circle as C and D.

Step 3: Join the end points of the two diameters to form a square.

4 0

4 years ago

In a simple random sample of 300 boards from this shipment, 12 fall outside these specifications. Calculate the lower confidence

Lyrx [107]

Answer:

The 95% confidence interval for the percentage of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

In a random sample of 300 boards the number of boards that fall outside the specification is 12.

Compute the sample proportion of boards that fall outside the specification in this sample as follows:

$\hat p =\frac{12}{300}=0.04$

The (1 - α)% confidence interval for population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The critical value of z for 95% confidence level is,

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

*Use a z-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)$

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

6 0

3 years ago

Simplify this expression (7)(2x-5)

ruslelena [56]

14x-35 is answer I think

6 0

2 years ago

How many times the size of 0.81 is 810

MAXImum [283]

Answer:

810 is 100 times the size of 0.81

8 0

3 years ago

In timara math class there are, 12 boys and 15 girls which of the following in the ratio to boys and girls in timaras math class

tiny-mole [99]

Answer:

4:5

Step-by-step explanation:

If there are 12 boys and 15 girls, the ratio of boys to girls will be 12:15.

However, this can be simplified by dividing each number by 3. This can be done since both 12 and 15 are divisible by 3.

12:15

= 4:5

So, the ratio of boys to girls in Timara's class is 4:5

7 0

3 years ago