Is this the right answer?

Mathematics

1 answer:

DIA [1.3K]2 years ago

7 0

Let me work it out real quick i’am not sure yet

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In the diagram below. C is an equal distance to A and B.

Fynjy0 [20]

Answer:

C(50;-20)

Step-by-step explanation:

The question is asking for the midpoint of the line.

The triangle is formed by placing a line directly from the y-axis to the x-axis.

The midpoint theorem is[ (x1+x2)/2 ; (y1+y2)/2 ].

your coordinates at A is (0;-40), because the x value is 0 on the line as shown in the diagram above point A.

Your coordinates for B are (100;0)

C[(x1+x2)/2 ; (y1+y2)/2 ]

C [(0+100)/2 ; (-40+0)/2 ]

C[ 100/2 ; -40/2]

C (50 ; -20)

7 0

1 year ago

The polygons in each pair are similar find the scale factor smaller figure to the larger

GrogVix [38]

Answer:

Smaller Figure 3

Larger Figure 5

Scale factor = 15/25 = 3/5

3 0

2 years ago

Casey rented a college astronomy textbook from an online bookstore. The 6-month rental fee for the textbook was $85. There was a

Free_Kalibri [48]

Answer: $95.20

Step-by-step explanation:

3 0

2 years ago

The time for a professor to grade an exam is normally distributed with a mean of 16.3 minutes and a standard deviation of 4.2 mi

dem82 [27]

Answer:

62.17% probability that a randomly selected exam will require more than 15 minutes to grade

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 16.3, \sigma = 4.2$