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2 years ago

What is the mode of this data set?

Mathematics

2 answers:

earnstyle [38]2 years ago

7 0

12 the mode is 12 because It occurs the most

lesantik [10]2 years ago

5 0

Answer: 12

Explanation:
Mode is the number repeated the most.

Number of times each number is repeated-
11-1
12-3
13-2
14-2

Therefore seeing as 12 is repeated the most at 3 times it’s the mode.

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Trigonometric identitie

erik [133]

There are many forms, one of them is
sinθ cosθ - sin²θ

are there choices for this question?

4 0

4 years ago

Circle O has a circumference of 44 what is the length of the diameter

DerKrebs [107]

Answer:

Step-by-step explanation:

2πr=44

2×22/7×r=44

r=44×7/44=7

diameter=2×7=14

3 0

3 years ago

The circumference of a sphere was measured to be 90 cm with a possible error of 0.5 cm.

Akimi4 [234]

Answer:

Error in the sphere's surface: 29 $cm^2$ and relative error in surface measure: 0.011

Error in the sphere's volume: 205 $cm^3$ and relative error in the volume measure: 0.017

Step-by-step explanation:

(a)

The measured length (l) of the circumference is 90 cm with an error of 0.5 cm, that is:

$l=2\,\pi\,R=90\,cm\\R=\frac{90}{2\,\pi} \,cm=\frac{45}{\pi} \,cm=14.3239\,\,cm$

and with regards to the error:

$dl=0.5 \, cm\\dl=2\,\pi\,dR\\dR=\frac{dl}{2\,\pi} =\frac{1}{4\,\pi} cm = 0.0796\,cm$

then when we use the formula for the sphere's surface, we get:

$S=4\,\pi\,R^2\\dS=4\,\pi\,2\,R\,(dR)\\dS=8\,\,\pi\.(\frac{45}{\pi} \,\,cm)\,(\frac{1}{4\pi}\,cm) =\frac{90}{\pi} \,\,cm^2\approx \,29\,cm^2$

Then the relative error in the surface is:

$\frac{dS}{S} =\frac{90/\pi}{4\,\pi\,R^2} =\frac{1}{90} =0.011$

(b)

Use the formula for the volume of the sphere:

$V=\frac{4\,\pi}{3} R^3\\dV=\frac{4\,\pi}{3}\,3\,R^2\,(dR)=4\,\pi\,R^2\,(\frac{1}{4\pi}) \,cm=(\frac{45}{\pi})^2 \,\,cm^3\approx 205\,\,cm^3$

Then the relative error in the volume is:

$\frac{dV}{V} =\frac{205}{12310.5} \approx 0.017$

3 0

3 years ago

Find an equation of the line(-2,-9) and(-7,-3)

andriy [413]

Answer:

The required equation is 6x+5y+57=0.

3 0

3 years ago

A square with sides of x + 2 and an equilateral triangle with sides of length 2x have equal perimeters.x =124

Maksim231197 [3]

P square=P triangle equilateral
4(x+2)=3*2x
4x+4*2=6x
4x+8=6x
6x-4x=8
2x=8
x=8/2
x=4

6 0

3 years ago