Volunteers were 3/4 finished with the walkathon when they reached the 4 1/2 kilometer mark.How long was the walkathon

Find tan if sin theta= 1/4 and falls in Quadrant 2.

7nadin3 [17]

If sinα=1/4 and it is in q2 it means that the x coordinate is negative.

The triangle has a height of one and a hypotenuse of 4 so:

x=-√(4^2-1)

x=-√15

so tanα=-1/√15

tanα=-√(1/15)

tanα≈ -0.258

6 0

2 years ago

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I got two more pls answer

polet [3.4K]

Answer:

33.) = 4

34.) = 2

35.) = 6

36.) = 6

37.) = 91

38.) = 35

39.) = 4

40.) = 28

41.) = 18

42.) = (-6)

Step-by-step explanation:

(10 + 6) ÷ [(9 – 5) × (5 – 4)²]

(16) ÷ (4) × (1)²

16/4 = 4

Thus, The answer is 4

(3² × 2) ÷ (5 + 8 – 5 + 1)

(9 × 2) ÷ (9)

18/9 = 2

Thus, The answer is 2

6² ÷ {2 + 5 – [9 – (6 + 2)]}

6² ÷ [2 + 5 – (9 – 8)]

36 ÷ [2 + 5 – (1)]

36 ÷ 7 – 1

36/6 = 6

Thus, The answer is 6

(3 × 3 × 2) ÷ (4 – 1)

18/3 = 6

Thus, The answer is 6

4 × 3 × 10 – 4² – (10 + 3)

120 – 16 – 13

120 – 29 = 91

Thus, The answer is 91

5 × [(22 – 1) × 2] ÷ (8 + 2 – 4)

5 × [(21) × 2] ÷ (6)

5 × 42 ÷ 6

5 × 7 = 35

Thus, The answer is 35

-2 × 4 ÷ [2 + (-4) – (-4)] – 4

-8 ÷ (2 – 4 + 4) – 4

-8 ÷ 2 – 4

-8/-2 = 8/2 = 4

Thus, The answer is 4

-4(-1 + 2) × 4 – 2 + (-1)

-4 × (1) × 4 – 2 – 1

(-4) × (-7) = 28

Thus, The answer is 28

-3 – (-3 × 3) + 6 × 2

-3 – (-9) + 12

-3 + 9 + 12

6 + 12 = 18

Thus, The answer is 18

6 – {3² + [3 × (-1)²]}

6 – [9 + (3 × 1)]

6 – (9 + 3)

6 – 12 = -6

Thus, The answer is (-6)

<u>-TheUnknownScientist 72</u>

7 0

2 years ago

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Please help me with my question<br> Thank you <br> :))BRAINLIEST AVAILABLE

lara [203]

P=4πlr²
r²=P/4πl
r=√(P/4πl)= 1/2*(√(P/πl)
Answer is A

4 0

3 years ago

Jeb just turned 18 years old. He spent 4/9 of his life living in

nignag [31]

Answer:

8

Step-by-step explanation:

4/9 of 18 is 8

8 0

2 years ago

A certain kind of sheet metal has, on average, 3 defects per 18 square feet. Assuming a Poisson distribution, find the probabili

Fofino [41]

Answer:

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

In this problem, we have that:

3 defects per 18 square feet.

So for 31 square feet, we have to solve a rule of three

3 defects - 18 square feet

x defects - 31 square feet

$18x = 3*31$

$x = \frac{31*3}{18}$

$x = 5.17$

So $\mu = 5.17$

Assuming a Poisson distribution, find the probability that a 31 square foot metal sheet has at least 4 defects.

Either it has three or less defects, or it has at least 4 defects. The sum of the probabilities of these events is decimal 1.

So

$P(X \leq 3) + P(X \geq 4) = 1$

We want $P(X \geq 4)$

So

$P(X \geq 4) = 1 - P(X \leq 3)$

In which

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 0) = \frac{e^{-5.17}*(5.17)^{0}}{(0)!} = 0.0057$

$P(X = 1) = \frac{e^{-5.17}*(5.17)^{1}}{(1)!} = 0.0294$

$P(X = 2) = \frac{e^{-5.17}*(5.17)^{2}}{(2)!} = 0.0760$

$P(X = 3) = \frac{e^{-5.17}*(5.17)^{3}}{(3)!} = 0.1309$

So

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0057 + 0.0294 + 0.0760 + 0.1309 = 0.242$

Finally

$P(X \geq 4) = 1 - P(X \leq 3) = 1 - 0.242 = 0.758$

75.8% probability that a 31 square foot metal sheet has at least 4 defects.

8 0

3 years ago