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Fantom [35]
3 years ago
5

which of the following best describe the blue line in the image below A. The line constructed through point P that is parallel t

o line AB B. The line constructed through point P that is perpendicular to line AB C. The line constructed through point P that intersects line AB at two different points

Mathematics
1 answer:
lesya692 [45]3 years ago
8 0

Answer:

Option B.

Step-by-step explanation:

Option A. "The line constructed through point P that is parallel to line B."

     Since parallel lines never intersect each other, a line intersecting line AB at point P will not be parallel.

Therefore, Option (A) is incorrect.

Option (B). "The line constructed through point P that is perpendicular to line AB."

    Since the angle between line AB and a line constructed through point P has been given as 90°, line through point P will be perpendicular to AB.

Therefore, Option (B) is the answer.

Option C. "The line constructed through point P that intersects line AB at two different points."

    Since, two perpendicular lines intersect each other at only one point, the line constructed from point P will not intersect line AB at two different points.

Therefore, Option C is not correct.

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Assume that the significance level is alpha equals 0.01. Use the given information to find the​ P-value and the critical​ value(
Aleksandr-060686 [28]

Answer:  0.1010052

Step-by-step explanation:

Given : Significance level : \alpha=0.01

Alternative hypothesis : H_1:\ p\neq\dfrac{3}{4}

The test statistic value : z=-1.64

Since , the alternative hypothesis is two-tailed, so the test is a two-tailed test.

Using standard normal distribution table for z, we have

The P-value of two-tailed test will be :-

2P(z>|-1.64|)=2P(z>1.64)\\\\=2(1-P(z\leq1.64))\\\\=2(1-0.9494974)\\\\=0.1010052

Hence, the P-value = 0.1010052

6 0
3 years ago
Find the dimensions of the box described.
Rina8888 [55]

The dimensions of the box are 6 inches, 12 inches and 10 inches

Step-by-step explanation:

There is a box, with dimensions length, width and height

  • The length is twice as long as the width
  • The height is 4 inches greater than the width
  • The volume is 720 cubic inches

We need to find its dimensions

Assume that the width of the box is x

∵ The width of the box is x

∵ The length is twice as long as the width

- Twice means times 2

∴ The length of the box = 2(x) = 2x

∵ The height is 4 inches greater than the width

- 4 inches greater means add 4

∴ The height of the box = x + 4

∵ The volume of the box = length × width × height

∵ length = 2x , width = x , height = x + 4

∴ The volume of the box = (2x) × (x) × (x + 4)

∵ (2x) × (x) = 2x²

∵ 2x²(x + 4) = (2x²)(x) + (2x²)(4) = 2x³ + 8x²

∴ The volume of the box = 2x³ + 8x²

∵ The volume of the box is 720 inches³

∴ 2x³ + 8x = 720

- Subtract 720 from both sides

∴ 2x³ + 8x² - 720 = 0

- Use your calculator to solve the equation and find the value of x

∴ x = 6

∴ The width of the box = 6 inches

∴ The length of the box = 2(6) = 12 inches

∴ The height of the box = 6 + 4 = 10 inches

The dimensions of the box are 6 inches, 12 inches and 10 inches

Learn more:

You can learn more about volume in brainly.com/question/12497249

#LearnwithBrainly

5 0
4 years ago
Which of the following graphs shows the solution for the inequality. y-4>2(x+2)
Crazy boy [7]

Answer:

C.

Step-by-step explanation:

First, isolate the y:

y-4>2(x+2)

y-4>2x+4

y>2x+8

First, since there is no "equal to", we can ignore B and D since their lines are shaded.

Since the y is greater than, we need to pick the graph that is shaded above the line.

The answer is C as the shaded portion is above the graph and the graph is dotted.

7 0
3 years ago
Do anyone know the answers ?
Strike441 [17]

Answer:

If you can take a better pic or put a link it would easier to see.

Step-by-step explanation:

We can not see pic clearly

6 0
3 years ago
Despite reports that dark chocolate is beneficial to the heart, suppose that 47% of adults still prefer milk chocolate to dark c
liberstina [14]

Answer:

Step-by-step explanation:

Download docx
5 0
3 years ago
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