Question

CAN SOMEONE HELP ME WITH THESE 50 POINTS

A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.

spinner divided evenly into eight sections with three colored blue, one colored orange, two colored purple, and two colored yellow

Determine P(not yellow) if the spinner is spun once.

75%
37.5%
25%
12.5%

Question 2

Spin a spinner with three equal sections colored red, white, and blue. What is P(yellow)?

33%
0%
100%
66%

Question 3

A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.


Number of hours Total number of students
0 1
1 3
2 2
3 5
4 9
5 7
6 3

Determine the probability that a student studied for 1 hour.
1.0
0.9
0.3
0.1

Question 4

When tossing a two-sided, fair coin with one side colored yellow and the other side colored green, determine P(yellow).

yellow over green
green over yellow
2
one half

Question 5

When given a set of cards laying face down that spell M, A, T, H, I, S, F, U, N, determine the probability of randomly drawing a consonant.

six thirds
six tenths
two thirds
two ninths

Question 6

When rolling a fair, eight-sided number cube, determine P(number greater than 2).

0.25
0.50
0.66
0.75

Question 7
Joseph has a bag filled with 2 red, 4 green, 10 yellow, and 9 purple marbles. Determine P(not purple) when choosing one marble from the bag.

64%
36%
24%
8%

Answer 1

1. 75%

2. 0%

3. 0.1

4. one half

5. six tenths

6. 0.75

7. 64%

Step-by-step explanation:Answer 1:

The spinner has a total of 8 sections, out of which there are 2 yellow sections. Therefore, the probability of not getting a yellow section when the spinner is spun once is 6/8 or 3/4, which is equal to 75%.

Answer 2:

The spinner has only three sections and none of them is colored yellow. Therefore, the probability of getting a yellow section when the spinner is spun once is 0%.

Answer 3:

The total number of students surveyed is:

1 + 3 + 2 + 5 + 9 + 7 + 3 = 30

The number of students who studied for 1 hour is 3. Therefore, the probability of a student studying for 1 hour is 3/30, which simplifies to 1/10 or 0.1.

Answer 4:

Since the coin is fair and has one side colored yellow and the other side colored green, the probability of getting a yellow side when the coin is tossed is 1/2 or one half.

Answer 5:

The set of cards has 10 letters, out of which 4 are vowels (A, I, U). Therefore, the number of consonants in the set is 10 - 4 = 6. The probability of drawing a consonant is therefore 6/10, which simplifies to 3/5 or 0.6.

Answer 6:

The number cube has 8 sides, numbered 1 through 8. The probability of getting a number greater than 2 is the same as the probability of getting any number from 3 to 8. There are 6 such numbers out of 8 total numbers, so the probability is 6/8 or 3/4, which is equal to 0.75.

Answer 7:

The total number of marbles in the bag is:

2 + 4 + 10 + 9 = 25

The number of marbles that are not purple is:

2 + 4 + 10 = 16

Therefore, the probability of not getting a purple marble when one marble is chosen from the bag is 16/25, which is equal to 64%.