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USPshnik [31]
3 years ago
8

Mrs. Sawyer estimates that a quiz will take students no fewer than 11 minutes but no more than 41 minutes to complete. She allot

s 1 minute for passing out the papers and instructions and then students will complete a 20-question quiz. Which compound inequality represents x, the average amount of time a student spends on each question?
Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
7 0
11 ≤ 1 + 20x ≤ 41
11 is less than or equal to 1+20x is less than or equal to 41
nikklg [1K]3 years ago
3 0

Answer:

The inequality is given as:

11 ≤ 1+20 x ≤41

Step-by-step explanation:

Let 'x' represents the average amount of time a student spends on each question.

Now we are given that:

Mrs. Sawyer estimates that a quiz will take students no fewer than 11 minutes that means the total time has to be greater than or equal to 11 minutes.

also we are given that it will take no more than 41 minutes to complete.

i.e. the total time has to be less than or equal to 41 min.

Now She allots 1 minute for passing out the papers and instructions and then students will complete a 20-question quiz.

that means the inequality is given as:

11 ≤ 1+20 x ≤ 41

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A positive integer from one to six is to be chosen by casting a die. Thus the elements c of the sample space C are 1, 2, 3, 4, 5
Alex_Xolod [135]

Answer with Step-by-step explanation:

We are given that six integers 1,2,3,4,5 and 6.

We are given that sample space

C={1,2,3,4,5,6}

Probability of each element=\frac{1}{6}

We have to find that P(C_1),P(C_2),P(C_1\cap C_2) \;and\; P(C_1\cup C_2)

Total number of elements=6

C_1={1,2,3,4}

Number of elements in C_1=4

P(E)=\frac{number\;of\;favorable \;cases}{Total;number \;of\;cases}

Using the formula

P(C_1)=\frac{4}{6}=\frac{2}{3}

C_2={3,4,5,6}

Number of elements in C_2=4

P(C_2)=\frac{4}{6}=\frac{2}{3}

C_1\cap C_2={3,4}

Number of elements in (C_1\cap C_2)=2

P(C_1\cap C_2)=\frac{2}{6}=\frac{1}{3}

C_1\cup C_2={1,2,3,4,5,6}

P(C_1\cup C_2)=\frac{6}{6}=1

4 0
3 years ago
294 students went on a field trip. Five buses were filled and 14 students travelled in cars. How many students were in each bus?
Irina-Kira [14]

Answer:

294 - 14 = 280 ÷ 5 = 56

In conclusion, there were 56 Students in each Bus.

3 0
2 years ago
Amy went to the grocery store and purchased 4 apples, 5 oranges, and 2 bananas. What is the ratio of the number of oranges she p
Lubov Fominskaja [6]

Answer:

5:11

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
PLEASE HELP AND QUICK
3241004551 [841]
I think it is 70 but not sure
8 0
2 years ago
Please help, I will mark brainliest.
Bess [88]

Answer:

Step-by-step explanation:

Total number of students who roller skated = 80

Number of students who roller skated with laser tag = 39

Number of students who roller skated with no laser tag = 80 - 39 = 41

Therefore, percentage of students who roller skated with no laser tag = \frac{41}{154}\times 100 = 27%

Since, number of students who played laser tag = 85

Percentage of students who played laser tag = \frac{85}{154}\times 100 = 55%

Total number of students who played no laser tag = 45% of 154 = 69

Number of students with no roller skates and no laser tag = 69 - 41 = 28

Percentage of students with no roller skates and no laser tag = \frac{28}{154}\times 100        

                                                                                                       = 18%

Percentage of students who played with no rollers skates = (30 + 18)%

                                                                                                 = 48%

                                  Laser tag                 No laser tag                Total

Roller skate                     25%                           27%                      52%

No Roller skate               30%                           18%                      48%

Total                                55%                           45%                      100%

7 0
3 years ago
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