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mario62 [17]
4 years ago
12

The probability is 0.36 that the amount spent on a randomly selected child will be between what two value equidistant from the m

ean?
Mathematics
1 answer:
erastova [34]4 years ago
4 0

Assuming a standard normal distribution, the positive value of interest will be that corresponding to the 50 + 36/2 = 68th percentile. A suitable probability calculator will give that value as 0.46770.


The values that are within ±0.46770 standard deviations from the mean will have a probability of 0.36.

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find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (1, -8)
frutty [35]

Answer:

cosФ = \frac{1}{\sqrt{65}} , sinФ = -\frac{8}{\sqrt{65}} , tanФ = -8, secФ = \sqrt{65} , cscФ = -\frac{\sqrt{65}}{8} , cotФ = -\frac{1}{8}

Step-by-step explanation:

If a point (x, y) lies on the terminal side of angle Ф in standard position, then the six trigonometry functions are:

  1. cosФ = \frac{x}{r}
  2. sinФ = \frac{y}{r}
  3. tanФ = \frac{y}{x}
  4. secФ = \frac{r}{x}
  5. cscФ = \frac{r}{y}
  6. cotФ = \frac{x}{y}
  • Where r = \sqrt{x^{2}+y^{2} } (the length of the terminal side from the origin to point (x, y)
  • You should find the quadrant of (x, y) to adjust the sign of each function

∵ Point (1, -8) lies on the terminal side of angle Ф in standard position

∵ x is positive and y is negative

→ That means the point lies on the 4th quadrant

∴ Angle Ф is on the 4th quadrant

∵ In the 4th quadrant cosФ and secФ only have positive values

∴ sinФ, secФ, tanФ, and cotФ have negative values

→ let us find r

∵ r = \sqrt{x^{2}+y^{2} }

∵ x = 1 and y = -8

∴ r = \sqrt{x} \sqrt{(1)^{2}+(-8)^{2}}=\sqrt{1+64}=\sqrt{65}

→ Use the rules above to find the six trigonometric functions of Ф

∵ cosФ = \frac{x}{r}

∴ cosФ = \frac{1}{\sqrt{65}}

∵ sinФ = \frac{y}{r}

∴ sinФ = -\frac{8}{\sqrt{65}}

∵ tanФ = \frac{y}{x}

∴ tanФ = -\frac{8}{1} = -8

∵ secФ = \frac{r}{x}

∴ secФ = \frac{\sqrt{65}}{1} = \sqrt{65}

∵ cscФ = \frac{r}{y}

∴ cscФ = -\frac{\sqrt{65}}{8}

∵ cotФ = \frac{x}{y}

∴ cotФ = -\frac{1}{8}    

8 0
3 years ago
What is the value of f(4) + f(7)
tatyana61 [14]
Is there more to this problem? By saying f(4), you'd be inputting a 4 for every variable x. There is not enough info here to answer the question.
7 0
4 years ago
(3 x 10) x 8 = x(10 x 8)
yaroslaw [1]

Answer:

Here you go

Step-by-step explanation:

(3 x 10) x 8 = x(10 x 8)

What you do the distributive property so multiply 3x10 and you get 30 and multiply by 8 you get 240 so one side is solved. Now multiply 10x8 you get 80 and remember to multiply the variable x so you get 80x=240 now divide 80 both sides and you will get 3 as your total answer

5 0
3 years ago
Read 2 more answers
Find the missing term of the following sequence.<br> . . .-34,____, 77, . .
allsm [11]

Answer:

21.5

Step-by-step explanation:

Just find the find the difference between 34 and 77 (even though 34 is a negative) then half the answer.

6 0
3 years ago
A circle’s diameter is 22 inches. What is the circle’s circumference
alina1380 [7]

Answer:

69.12 in, or 22pi in terms of pi

Step-by-step explanation:

Circumference of circle formula: 2piR

Radius of 22 in diameter is 11 in

So, 2pi(11) is about 69.12 in

8 0
3 years ago
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