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Scilla [17]
3 years ago
10

If cos 0 = 3/radical 22 and angle 0 is in Quadrant I, what is the exact value of tan 20 in

Mathematics
2 answers:
Sloan [31]3 years ago
6 0

Answer:

tan θ = (√13)/3

Step-by-step explanation:

cosθ = 3/√22 = adj/hyp

third side of triangle has dimension

c = √((√22)² - 3²) = √13

tan θ = opp/adj = (√13)/3

Greeley [361]3 years ago
6 0

A

​−3  

11

​  

Step-by-step explanation:

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The body temperatures of a group of healthy adults have a bell-shaped distribution with a mean of 98.35°F and a standard deviati
DochEvi [55]

Answer:

a) 99.97%

b) 65%

Step-by-step explanation:

• 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

• 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ.

• 99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ.

Mean of 98.35°F and a standard deviation of 0.64°F.

a. What is the approximate percentage of healthy adults with body temperatures within 3 standard deviations of the mean, or between 96.43°F and 100.27°F?

μ - 3σ

98.35 - 3(0.64)

= 96.43°F

μ + 3σ.

98.35 + 3(0.64)

= 100.27°F

The approximate percentage of healthy adults with body temperatures is 99.97%

b. What is the approximate percentage of healthy adults with body temperatures between 97 .71°F and 98.99°F?

within 1 standard deviation from the mean - that means between μ - σ and μ + σ.

μ - σ

98.35 - (0.64)

= 97.71°F

μ + σ.

98.35 + (0.64)

= 98.99°F

Therefore, the approximate percentage of healthy adults with body temperatures between 97.71°F and 98.99°F is 65%

4 0
3 years ago
Solve the inequality -d ≥ 0.5
Mariulka [41]

Answer:

d ≤ -0.5

Step-by-step explanation:

Multiply each term by -1

8 0
3 years ago
claudia is making a gelatin desseert for a party.She plans on making 12 servings for every 5 people.If each pan claudia uses to
prisoha [69]
First we need to find the total amount of servings needed.

(x2) 12 servings/5 people (x2)
        24 servings/10 people

Now we can find the amount of pans needed

24 servings/8 servings (1 pan)
=3 pans

She needs at least 3 pans
5 0
3 years ago
Question 1 (1 point)
svlad2 [7]

Answer:

9π units²

Step-by-step explanation:

To obtain an exact answer, use π, not an approximation such as 3.14.

A = πr² is the appropriate formula.

Here,

A = (3)^2·π units², or 9π units²

8 0
2 years ago
Read 2 more answers
Which statement regarding the interior and exterior angles of a triangle is always true?
faust18 [17]

A: an exterior angle is supplementary to the adjacent interior angle.

3 0
2 years ago
Read 2 more answers
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