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White raven [17]
3 years ago
12

If the cos 30Á = square root 3 over 2, then the sin 60Á = _____.

Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0
For the given question above, if the cos <span>30Á = square root 3 over 2, then the sin 60Á = square root over 2. Square root over 2 is the correct answer because they are just complimentary. I hope this answer helps. Looking forward to help you again.</span>
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Exhibit B: A restaurant has tracked the number of meals served at lunch over the last four weeks. The data shows little in terms
Mekhanik [1.2K]

Answer:

Option E is correct.

The expected number of meals expected to be served on Wednesday in week 5 = 74.2

Step-by-step Explanation:

We will use the data from the four weeks to obtain the fraction of total days that number of meals served at lunch on a Wednesday take and then subsequently check the expected number of meals served at lunch the next Wednesday.

Week

Day 1 2 3 4 | Total

Sunday 40 35 39 43 | 157

Monday 54 55 51 59 | 219

Tuesday 61 60 65 64 | 250

Wednesday 72 77 78 69 | 296

Thursday 89 80 81 79 | 329

Friday 91 90 99 95 | 375

Saturday 80 82 81 83 | 326

Total number of meals served at lunch over the 4 weeks = (157+219+250+296+329+375+326) = 1952

Total number of meals served at lunch on Wednesdays over the 4 weeks = 296

Fraction of total number of meals served at lunch over four weeks that were served on Wednesdays = (296/1952) = 0.1516393443

Total number of meals expected to be served in week 5 = 490

Number of meals expected to be served on Wednesday in week 5 = 0.1516393443 × 490 = 74.3

Checking the options,

74.3 ≈ 74.2

Hence, the expected number of meals expected to be served on Wednesday in week 5 = 74.2

Hope this Helps!!!

8 0
2 years ago
A circle has a diameter of 21 meters. What is the circumference of the circle? Use 22/7 for ∏.
bogdanovich [222]

Answer:

66

Step-by-step explanation:

The diameter of the circle is 21. The formula for circumference is pie*radius*2. We don't have the radius but the diameter is just double the radius so just don't multiply by 2. 21 x 22 = 462. 46s divided by 7 is 66. Enjoy your answer :D

3 0
2 years ago
A 25-foot ladder is leaned against a wall. If the base of the ladder is 7 feet from the wall, how high up the wall will the ladd
GenaCL600 [577]

Answer:

24ft

Step-by-step explanation:

Pythagorean Theorem!!

a^2 + b^2 = c^2

------------------------

In this case, the ladder is c, and the base is b.

------------------------

Plug the numbers in the formula.

a^2 + 7^2 = 25^2

------------------------

Solve.

a^2 + 49 = 625

a^2 -49 = 625 - 49

a^2 = 576

\sqrt{a^2} = \sqrt{576}

a = 24

8 0
3 years ago
In a high school graduating class of 128 students, 52 are on the honor roll. Of these, 48 are going on to college; of the other
olga nikolaevna [1]

Answer:

a. 0.8125

b. 0.1875

c. 0.03125

Step-by-step explanation:

from the information given, we can come up with the following data

Total No of students =128

Total Nos of students going to college = 48+56=104

Total Nos of students not going to college and on the honor roll= 52-48=4

a. To determine the probability of students going to college we have

P(going to college) = (total number of students going to college)/total number of students

P(going to college) = 104/128

P(going to college) = 0.8125

b. To determine the probability of students not going to college, we use the rule that says total probability is 1, hence

Pr(not going to college)=1-Pr(going to college)

Pr(not going to college)=1-0.8125

Pr(not going to college)=0.1875

c. To determine the probability of students NOT going to college  and on the pay roll we have

Pr = (Total Number of students not going to college and on the honor roll)/total number of students

Pr=4/128

Pr=0.03125

7 0
3 years ago
Donovan brought 5 1/2 kilograms of flour $8.25
VashaNatasha [74]
A. True, 33/4 × 2/11 = 1,5$
b. False, 8.25÷5.5= 1.5$/kg
c) True
8 0
3 years ago
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