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ratelena [41]
3 years ago
14

The average ice skate size of customers at an ice rink with 200 patrons is 9.5. Assume the data is normally distributed. If the

standard deviation of this data is 0.5, how many patrons have a skate size of 10.5 or larger?
Mathematics
1 answer:
maksim [4K]3 years ago
3 0
Only about 2.28% of the skates will be size 10.5 or larger.

To answer this question, we need to find the z-score of the shoe size and look that up on a normal distribution table.

(10.5 - 9.5) / 0.5 = 2

Using the table, only about 2.28% of the values are larger than a z-score of 2.
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Please help me thank yu
MakcuM [25]
-7.1-3.2 extract the negative sign and then add the negative numbers -(7.1+3.2)  your answer would be -10.3
8 0
3 years ago
Read 2 more answers
X^3-3x^2=0<br> Write in quadratic form
Reptile [31]

Answer:

x=0,3

Step-by-step explanation:

3 0
2 years ago
A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and
Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.​

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

Hypotenuse^2=Base^2+Perpendicular^2

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

(9.85)^2=x^2+(x+5)^2

97.0225=x^2+x^2+10x+25

0=2x^2+10x+25-97.0225

0=2x^2+10x-72.0225

Here, a=2, b=10,c=-72.0225. Using the quadratic formula, we get

x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}

x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}

x=\dfrac{-10\pm \sqrt{676.18}}{4}

Approximating the value, we get

x=\dfrac{-10\pm 26}{4}

x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}

x=\dfrac{16}{4},\dfrac{-36}{4}

x=4,-9

Distance cannot be negative so x\neq -9.

Now we have x=4

x+5=4+5

x+5=9

Therefore, the base is 4 m and the height is 9 m.

5 0
3 years ago
In the diagram, AC is a diameter of the circle with center 0. If m ZACB = 50°, what is ZBAC?
Snowcat [4.5K]

Answer:

40degrees

Step-by-step explanation:

Find the diagram attached

Since the triangle ina semi circle is a right angle, hence <B = 90degrees

Also frm the diagram

<A + <B + <C = 180

<A + 90 + 50 = 180

<A + 140 = 180

<A  = 180 - 140

<A = 40degrees

Hence the measure if m<BAC is 40degrees

7 0
3 years ago
An architect wants an artistic flair to the house he is building, so he designs windows that are three fourths of a circle in sh
larisa86 [58]

The amount of rim needed for each window is 141.4 in

<h3>How to find the length of the outer rim?</h3>

Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.

<h3>What is an arc?</h3>

An arc is part of section of the circumference of a circle

<h3>What is the length of an arc?</h3>

So, length of arc, L = Ф/360 × 2πR where

  • Ф = central angle of arc and
  • R = radius of circle.

Gven that for the window rim

  • Ф = angle of the rim = 270° and
  • R = radius of the rim = 30 in

Substituting the values of the variables into the equation for L, we have

L = Ф/360 × 2πR

L = 270°/360° × 2π × 30 in

L = 3/4 × 2π × 30 in

L = 3/2 × π × 30 in

L = 3 × π × 15 in

L = 45π in

L = 141.37 in

L ≅ 141.4 in

So, the amount of rim needed for each window is 141.4 in

Learn more about length of an arc here:

brainly.com/question/8402454

#SPJ1

7 0
2 years ago
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