Use the table to answer the question.
Outcomes 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?
A- 0.24
B- 0.45
C- 0.72
D- 0.28
The consonants in the spinner are K, N, and D. The total frequency for these outcomes is 120+105+135=360. Therefore, the probability of getting a consonant on one spin is 360/500=0.72.
Answer: C- 0.72
Well, Xavier must really love spinning things! Let's do some calculations to find the answer.
The total number of outcomes is the sum of the frequencies: 120 + 140 + 105 + 135 = 500.
Since we want to know the probability of landing on a consonant, we need to find the total frequency of consonants. From the table, we can see that the frequencies for K and N are 120 and 105 respectively. Therefore, the total frequency of consonants is 120 + 105 = 225.
To find the probability of getting a consonant, we divide the frequency of consonants by the total number of outcomes: 225 / 500 = 0.45.
So, the approximate probability that the spinner will stop on a consonant on the next spin is approximately 0.45.
Therefore, the answer is B- 0.45.
I hope you get a spin full of consonants! Keep the vowels at bay!
To find the approximate probability that the spinner will stop on a consonant on the next spin, we need to sum the frequencies of the consonants (K, N, D) and divide it by the total number of spins.
The frequency of the consonants is 120 + 105 + 135 = 360.
The total number of spins is 500.
Therefore, the approximate probability is 360/500 = 0.72.
So, the answer is C- 0.72.
To find the approximate probability that the spinner will stop on a consonant on the next spin, we need to determine the total number of possible outcomes and the number of outcomes that count as consonants.
Looking at the table, the frequencies for the outcomes "K," "N," and "D" represent the number of times the spinner landed on a consonant. To find the total number of possible outcomes, we sum up these frequencies:
Total number of possible outcomes = Frequency of K + Frequency of N + Frequency of D
= 120 + 105 + 135
= 360
So, there are 360 possible outcomes.
Now, let's find the number of outcomes that count as consonants, which is the sum of the frequencies of "K," "N," and "D":
Number of outcomes that count as consonants = Frequency of K + Frequency of N + Frequency of D
= 120 + 105 + 135
= 360
So, there are also 360 outcomes that count as consonants.
Finally, we can calculate the approximate probability of getting a consonant on the next spin by dividing the number of outcomes that count as consonants by the total number of possible outcomes:
Approximate probability = Number of outcomes that count as consonants / Total number of possible outcomes
= 360 / 360
= 1
However, probability is typically expressed as a decimal or fraction between 0 and 1. So we need to divide the numerator and the denominator of the probability by the number of spins to get a decimal representation:
Approximate probability = Number of outcomes that count as consonants / Total number of possible outcomes / Number of spins
= 360 / 360 / 500
≈ 0.72
Therefore, the approximate probability that the spinner will stop on a consonant on the next spin is approximately 0.72.
The answer to the question is C- 0.72.