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tamaranim1 [39]
2 years ago
10

A number is 42,300 when multiplied by 10. Find the product of this number and 500.

Mathematics
1 answer:
UkoKoshka [18]2 years ago
3 0
The question is Algebraically 10(a number) = 42,300. Find (a number) x 500.

You are almost correct. You take 42,300 and divide by 10, but then you take the solution of that, 4,230, and multiply that solution by 500 to get the final answer of 2,115,000
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Which triangle is similar to ΔJKL? ΔJKM, ΔMKL, ΔKML, ΔLJK.
kirill [66]
The answer would be ΔKML because the right angle of ΔKML is in the same place as <span>ΔJKL</span>
7 0
2 years ago
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The point (1, 4) lies on a circle that is centered at (1, 1). Which statements are correct? Check all that apply.
Semenov [28]

the circle's radius is 3 units

the point (- 2, 1 ) lies on the circle

the equation of a circle in standard form is

(x - a)² + (y - b)² = r²

where (a, b) are the coordinates of the centre and r is the radius

the radius is the distance from the centre to the point (1, 4 ) on the circle

using (1, 4) and (1,1) in the distance formula, then

r = √(1 - 1 )² + (1 - 4)² = √(0 + 9) =√9 = 3 ⇒ r² = 9

(x - 1 )² + (y - 1 )² = 9 ← equation of circle

substitute the given points into the equation and if equation is true then they lie on the circle

(- 2, 1 ) : (- 2 - 1 )² + (1 - 1 )² = 9 + 0 = 9 ← true

Hence (- 2, 1 ) lies on the circle

(3, 3 ) : (3 - 1 )² + (3 - 1 )² = 4 + 4 = 8 ≠ 9

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6 0
2 years ago
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Last year your professor wanted to study the pattern in class grades. The following table contains a sample of grades collected
Maslowich

Answer:

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

Step-by-step explanation:

<u>Mean:-</u>

The mean (average) is found by adding all of the numbers together and dividing by the number of items and it is denoted by x⁻

                                                                                                                           mean =  \frac{64+80+75+98+75}{5}

mean (x⁻ ) = 78.4

The mean of the given data = 78.4

<u>Median:</u>

The median is found by ordering the set from lowest to highest and finding the exact middle.

64 ,75, 80, 98

The middle term of the given data set = \frac{75+80}{2} =77.5

<u>Mode :</u>

The mode is the most common repeated number in a data set.

64 ,75, 75, 80, 98

in data the most common number = 75

<u>Conclusion</u>:-

mean = 78.4

median = 77.5

mode = 75

This is Right - skewed (positive skewness) distribution

   

8 0
1 year ago
What is the ratio of the area of sector ABC to the area of sector DBE?
shusha [124]

We have to find the" ratio of the area of sector ABC to the area of sector DBE".

Now,

the general formula for the area of sector is

Area of sector= 1/2 r²θ

where r is the radius and θ is the central angle in radian.


180°= π rad

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Now ratio,

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7 0
2 years ago
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koban [17]

Answer:

d. r/12 = 3

Step-by-step explanation:

r = 3(12)

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5 0
1 year ago
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