Martin has 5/6 of a pizza. Liam has 4 times as much pizza as Martin

Answer: 0.1289

Step-by-step explanation:

Given: The proportion of students absent on Mondays at a large university.:

Sample size:

Mean:

Standard deviation =

Let x represent a binomial variable.

Referencing the standard normal distribution table,

(1)

Z score for normal distribution:-

For x=4

For x=3

Thus, from (1)

Consequently, the likelihood of four students being absent =

The complete question reads:

Peter created two rays, AC and AP, sharing a common vertex at point A. Which of the following statements

might accurately describe Peter's drawing?

I. AC and AP are parallel.

II. PAC represents an angle.

III. AC and AP are at right angles.

A. I and II

B. II and III

C. I and III

D. I, II, and III

Answer:

Option B: II & III

Step-by-step explanation:

We know Peter has drawn rays AC and AP.

Since the point A is shared as the endpoint, it indicates an angular relationship at this common point.

This angle could potentially be 90°, suggesting that rays AC and AP may be perpendicular.

Thus, the valid statements that characterize his drawing are: II & III.

Answer: 12 days

Step-by-step explanation:

Distance = speed x time

2214.50 = 21.14 / t

t = 2214.50 / 21.14 = 104.75 hours

By cycling 9 hours each day, it will take

104.75 / 9 = 11.64 = 12 days

ANSWER:

(-5, 0.5) serves as a solution for the equations x – 4y = –7, 0.2x + 2y = 0.

SOLUTION:

We start with the two equations: x – 4y = -7 → (1)

And 0.2x + 2y = 0 → (2)

We will verify if (-5, 0.5) is a solution.

To do this, we will resolve both equations.

Let’s multiply equation (2) by 2 to facilitate the cancellation of y terms.

This transforms equation (2) into:

0.4x + 4y = 0 → (3)

Now, combine equations (1) and (3), leading to:

1.4x + 0 = -7

Next, input the x value into (2)

0.2(-5) + 2y = 0

-1 + 2y = 0

2y = 1

y = 0.5

Thus, the result for the equations is (-5, 0.5).

Therefore, (-5, 0.5) is the solution to the equations.