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Darina [25.2K]
2 years ago
13

Scores on a test are normally distributed with a mean of 63.2 and a standard deviation of 11.7. Find

net/?f=P_%7B81%7D" id="TexFormula1" title="P_{81}" alt="P_{81}" align="absmiddle" class="latex-formula"> , which separates the bottom 81% from the top 19%.
Mathematics
1 answer:
mina [271]2 years ago
5 0

P81 = Mean + z * Standard deviation , Where Z is critical value at 81% confidence level.

= 63.2 + 0.8779 * 11.7 ( Z critical value calculated from Z table)

= 73.47

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I don't know what to do I'm very confused ​
finlep [7]

Answer:

x = 33.8°

Step-by-step explanation:

The resulting diagram we have is a right triangle. To find x, apply trigonometric function.

Reference angle = x

Opposite = 116

Adjacent = 173

Apply TOA:

Tan x = Opp/Adj

tan (x) = \frac{116}{173}

x = tan^{-1}(\frac{116}{173})

x = tan^{-1}(\frac{116}{173})

x = 33.8° (nearest tenth)

7 0
2 years ago
Please help!! I need all I can get!!
LuckyWell [14K]

Answer:

x = 13

Step-by-step explanation:

6x + 14 + 4x - 8 + 2x + 18 = 180  {Angle sum property of tiangle}

6x + 4x + 2x + 14 - 8 +18 = 180 {Combine like terms}

                         12x + 24 = 180 {Subtract 18 from both sides}

                                  12x = 180 - 24

                                  12x = 156       {Divide both sides by 12}

                                     x = 156/12

x = 13

3 0
3 years ago
Hector is flying a kite. He has let out 86 feet
Kaylis [27]

Answer:

Hector's kite is 61.84 feet from the ground.

Step-by-step explanation:

The angle of elevation of the kite is 42°15’30” when converted to decimals, it is 42.258333^{0} ≅ 42.26^{0}

Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,

Sin θ = \frac{opposite}{hypotenus}

Sin 42.26^{0} = \frac{x}{86}

⇒ x = 86 x Sin 42.26^{0}

      = 86 x 0.6725

     = 57.835

x ≅ 57.84 feet

The height of Hector's kite from the ground = x + 4

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                                   = 61.84 feet

7 0
3 years ago
Find two consecutive integers whose sum is 93. (Show work)
kenny6666 [7]

You are looking for three consecutive integers whose sum is 93. First, divide 93 by 3 and get 31. Go one above 31 and one below. You get 30, 31 and 32 which sum to 93.

5 0
3 years ago
PLEASE HELP.
Jet001 [13]

Answer:3/2

Step-by-step explanation:

6 0
3 years ago
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