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djverab [1.8K]
3 years ago
5

If a menu has a choice of 4 appetizers, 5 main courses, and 5 desserts, how many dinners are possible if each includes one appet

izer, one main course, and one dessert?
Mathematics
1 answer:
emmasim [6.3K]3 years ago
3 0
Only 4 dinners are possible.
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In an Algebra II class with 135 students, the final exam scores have a mean of 72.3 and standard deviation 6.5. The exams on the
gregori [183]
Population = 135 students
Mean score = 72.3
Standard deviation of the scores = 6.5

Part (a): Students from 2SD and 3SD above the mean
2SD below and above the mean includes 95% of the population while 3SD includes 99.7% of the population.
95% of population = 0.95*135 ≈ 129 students
99.7% of population = 0.997*135 ≈ 135 students

Therefore, number of students from 2SD to 3SD above and below the bean = 135 - 129 = 6 students.
In this regard, Students between 2SD and 3SD above the mean = 6/2 = 3 students

Part (b): Students who scored between 65.8 and 72.3
The first step is to calculate Z values
That is,
Z = (mean-X)/SD
Z at 65.8 = (72.3-65.8)/6.5 = 1
Z at 72.3 = (72.3-72.3)/6.5 = 0
Second step is to find the percentages at the Z values from Z table.
That is,
Percentage of population at Z(65.8) = 0.8413 = 84.13%
Percentage of population at (Z(72.3) = 0.5 = 50%
Third step is to calculate number of students at each percentage.
That is,
At 84.13%, number of students = 0.8413*135 ≈ 114
At 50%, number of students = 0.5*135 ≈ 68

Therefore, students who scored between 65.8 and 72.3 = 114-68 = 46 students
4 0
3 years ago
PLEASE HELP ME !I NEED IT
Shalnov [3]

Answer:

B

Step-by-step explanation:

3 0
3 years ago
Evaluate the numericial expression (32 - 20) ÷ 4
SashulF [63]

Answer:

3

Step-by-step explanation:

(32-20)÷4

solve perentisis first

(12)÷4

now divide

=3

3 0
2 years ago
Read 2 more answers
5a - 9 + a = 9
Ne4ueva [31]

Answer:

a = 3

Step-by-step explanation:

1) Simplify 5a - 9 + a to 6a - 9.

6a - 9 = 9

2) Add 9 to both sides.

6a = 9 + 9

3) Simplify 9 + 9 to 18.

6a = 18

4) Divide both sides by 6.

a =  \frac{18}{6}

5) Simplify 18/6 to 3.

a = 3

Therefor, the answer is, a = 3.

7 0
2 years ago
James earns $5.15/hour. What equation shows the relationship between his hour wage (g), his weekly wage (w), and hours worked pe
LenKa [72]
5.15 x 3=15.45 /3===5.15
8 0
3 years ago
Read 2 more answers
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