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nadya68 [22]
1 year ago
10

An instructor asked her students how much time (to the nearest hour) they spent studying for the midterm. The data are displayed

in the following histogram: What percentage of students study 2 or more hours for the midterm? % Round your answer to the nearest whole number
Mathematics
1 answer:
BARSIC [14]1 year ago
8 0

Based on the data displayed in the histogram, the percentage of students who study 2 or more hours for the midterm is 88%.

<h3>What percentage study 2 hours or more?</h3>

First, find the number of students studying:

= 3 + 9 + 6 + 3 + 2 + 1 + 1

= 25

The number of students studying 2 or more hours for the exam are:

= 9 + 6 + 3 + 2 + 1 + 1

= 22 students

The percentage studying for two hours or more is:

= 22 / 25

= 88%

Find out more on percentages at brainly.com/question/25567167.

#SPJ1

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Given that u =&lt; 2,12 &gt;, and z =&lt; -7,5 &gt;
swat32

Using the dot product:

For any vector x, we have

||x|| = √(x • x)

This means that

||w|| = √(w • w)

… = √((u + z) • (u + z))

… = √((u • u) + (u • z) + (z • u) + (z • z))

… = √(||u||² + 2 (u • z) + ||z||²)

We have

u = ⟨2, 12⟩   ⇒   ||u|| = √(2² + 12²) = 2√37

z = ⟨-7, 5⟩   ⇒   ||z|| = √((-7)² + 5²) = √74

u • z = ⟨2, 12⟩ • ⟨-7, 5⟩ = -14 + 60 = 46

and so

||w|| = √((2√37)² + 2•46 + (√74)²)

… = √(4•37 + 2•46 + 74)

… = √314 ≈ 17.720

Alternatively, without mentioning the dot product,

w = u + z = ⟨2, 12⟩ + ⟨-7, 5⟩ = ⟨-5, 17⟩

and so

||w|| = √((-5)² + 17²) = √314 ≈ 17.720

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837 divided by 36 equals 23.25

1650 divided by 55 equals 30

5634 divided by 18 equals 313

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