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Shkiper50 [21]
2 years ago
4

Fiona recorded the number of miles she biked each day last week as shown below. 4, 7, 4, 10, 5 The mean is given by m = 6. Which

equation shows the variance for the number of miles Fiona biked last week?
Mathematics
2 answers:
lukranit [14]2 years ago
6 0

The answer to this question is D) a^2= (4-6)^2+(7-6) etc.

STatiana [176]2 years ago
3 0
Given that the mean of the equation is given by:
m=6
the variance is given by the formula:
[∑(x-m)²]/(n-1)
∑(x-m)²=[(4-6)²+(7-6)²+(4-6)²+(10-6)²+(5-6)²]=26
hence the expression will be:
26/(n-1)
where n=5, the number of times she ran

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Jesse has a storage container in the shape of a right rectangular prism. The volume of the container is 43.875 cubic meters, the
AVprozaik [17]
All you have to do is divide the volume of the container (43.875) by 5 (length) and 3.9 (width) because the formula for the volume of a rectangular prism is V=lwh. So the answer/height of the storage container is 2.25 meters
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2 years ago
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Given: Quadrilateral ABCD is a kite.
Leni [432]

Answer:


Step-by-step explanation:

One

The definition of a kite.

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Perpendicular. The diagonals meet at right angles

Three

I don't know if the term is still used, but when I first learned this material (many years ago) we called it the reflexive property.

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In a group of students 25% are enrolled in physics, 23% in sociology, 17% in chemistry, 14% in political science, 12% in anthrop
saveliy_v [14]
Notice that 25+23+17+14+12+9=100, so among these students there are no 2 studying 2 subjects.

The probabilities of selecting students studying a certain subject are as follows

P(physics)=25/100
P(chemistry)=17/100
P(maths)=9/100

P(sociology)=23/100
P(political sciences)=14/100
P(anthropology)=12/100

since all the sets are disjoint, that is there are no common elements, and since all the students in consideration are enrolled in one these 6 subjects:


P(physics)+P(chemistry)+P(maths)+P(sociology)+P(political sciences)
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P(a)=P(sociology)+P(political sciences)+P(anthropology)+P(physics)

thus 

P(a')=1-P(a)=P(chemistry)+P(maths)=17/100+9/100=26/100=0.26


Answer: 0.26

8 0
2 years ago
The diagram shows the cross section of a cylindrical pipe with water lying in the bottom.
disa [49]
Hey 

So my brother posted this on Yahoo 
Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth. A right-angled triangle is formed. Length of side to the water-surface is 5 cm, the hypot is 7 cm. 

<span>What you do now is the following: </span>

<span>Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7) </span>

<span>So θ is approx 44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8° </span>

<span>The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram. </span>

<span>Shaded area ≃ 88.8/360*area of circle - ½*7*7*sin88.8° </span>
<span>= 88.8/360*π*7² - 24.5*sin 88.8° </span>
<span>≃ 13.5 cm² </span>
<span>(using area of ∆ = ½.a.b.sin C for the triangle) </span>



<span>b) </span>

<span>volume of water = cross-sectional area * length </span>
<span>≃ 13.5 * 30 cm³ </span>
<span>≃ 404 cm³</span>

Hoped it Helped
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2 years ago
A school principal wants to determine which subject the 800 students in his school like best.
timofeeve [1]
The answer is c. a selection of 80 students in the school
6 0
2 years ago
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