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Bumek [7]
3 years ago
14

Use the given minimum and maximum data​ entries, and the number of​ classes, to find the class​ width, the lower class​ limits,

and the upper class limits. minimumequals8​, maximumequals82​, 6 classes
Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer:

Step-by-step explanation:

Given that minimum is 8 and maximum equals 82

Range = 84-8 = 76

No of classes =6

Class width = 76/6 ~13

But not given whether variable is discrete or continuous.

If discrete, we have classes as

8-20, 21-33, 34-46, 47-59, 60-72, 73-85

If continuous, we have classes as

8 to <21

21 to <34

and ... ending 73-<86

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Analyze the diagram below and complete the instructions that follow. Find the area of QRS.
11Alexandr11 [23.1K]

<u>Answer-</u>

<em>The area of QRS is </em><em>238.7</em><em> sq units.</em>

<u>Solution-</u>

According to properties of supplementary angles,

m\angle R+124=180\\\\m\angle Q+132=180

So,

\Rightarrow m\angle R=180-124=56,\ m\angle Q=180-132=48

As the sum of measurement of all the angles in a triangle is 180, so

\Rightarrow m\angle S+m\angle R+m\angle Q=180

\Rightarrow m\angle S=180-m\angle R-m\angle Q

\Rightarrow m\angle S=180-56-48=76

Then the area of the triangle will be,

\text{Area}=\dfrac{1}{2}qr\sin S

=\dfrac{1}{2}\times 21\times 23.43\times \sin 76

=238.7\text{sq.units}

8 0
3 years ago
The ratio of boys to girls in home room is 2:3. If there are 8 boys how many girls are there .
Serhud [2]

Answer:

12 girls

Step-by-step explanation:

multiply 8 by 3/2 to get 12.

6 0
3 years ago
Read 2 more answers
2. Based on the table below, determine the exponential function being used. Use x as your variable. Then, evaluate this expressi
Ostrovityanka [42]

Answer:

y=5^{x}\\y=5^{7}=78125

Step-by-step explanation:

y = a^{x}, a=5\\y=5^{x}\\y=5^{0}=1\\y=5^{1}=5\\y=5^{2}=25\\y=5^{3}=125\\and\\y=5^{7} = 78125

4 0
3 years ago
Which is smaller-21/35, 7/5​
Paladinen [302]

Answer:

-21/35

Step-by-step explanation:

So, 7/5 is a postive number, since it doesn't have a negative - sign in front of it. On the other hand, -21/35 does. Knowing this, we can conclude that -21/35 is smaller than 7/5.

If you want another way of thinking about it, just guessing, what is 7/5? Well, 7 is bigger than 5, so it must be at least 1. On the other hand, with -21/35, the -21 doesnt look like its bigger than 35, so it must be smaller than 1.

Answer:

<u>-21/35 is smaller than 7/5 </u>

<u></u>

<u>Ti⊂k∫∈s ω∅∅p</u>

3 0
3 years ago
Read 2 more answers
What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?
Sati [7]

<u>Answer-</u>

<em>The coordinates of the orthocenter of △JKL is (-4, 8)</em>

<u>Solution-</u>

The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

For a right angle triangle, the vertex at the right angle is the orthocentre of the triangle.

Here we are given the three vertices of the triangle are  J(-4,-1), K(-4,8) and L(2,8)

If the triangle JKL satisfies Pythagoras Theorem, then triangle JKL will be a right angle triangle.

Applying distance formula we get,

JK^2= (-4+4)^2+ (8+1)^2=0+81=81\\\\KL^2= (-4-2)^2+ (8-8)^2=36+0=36\\\\JL^2= (-4-2)^2+(8+1)^2=36+81=117

As,

\Rightarrow 117=81+36

\Rightarrow JL^2=JK^2+KL^2

\Rightarrow \text{JKL is a right angle triangle}

\Rightarrow \angle K=90^{\circ}

Therefore, the vertex at K (-4, 8) is the orthocentre.

3 0
3 years ago
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