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Use the table to answer the question.

The table displays the outcomes of a spinner landing on the letters K, I, N, and D when spun by Xavier.
Outcome K I N D
Frequency 120 140 105 135
A spinner is divided into 4 sections labeled as K
, I
, N
, D
. Xavier reproduced the wheel and uses a computer to simulate the outcomes of 500 spins. What is the approximate probability that the spinner will stop on a consonant on the next spin?

(1 point)
Responses

0.28
0.28

0.72
0.72

0.24
0.24

0.45

1 answer

To find the approximate probability that the spinner will stop on a consonant, we first need to identify which letters are consonants. In this case, K and D are consonants, while I and N are vowels.

From the table, we can see the frequencies of each outcome:

  • K: 120
  • I: 140
  • N: 105
  • D: 135

Now, we can calculate the total frequency:

Total frequency = 120 + 140 + 105 + 135 = 500

Next, we find the total frequency for the consonants:

Total frequency for consonants (K and D) = 120 + 135 = 255

Now, we can calculate the probability of spinning a consonant:

Probability of consonant = (Total frequency for consonants) / (Total frequency) = 255 / 500

Calculating the fraction:

\( 255 / 500 = 0.51 \)

Since none of the provided options match 0.51, there seems to be a discrepancy. However, based on the correct method of calculating the probability of landing on a consonant, this is how you would arrive at it.

Make sure to check the data and options given or they might not represent the situation accurately.