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Elis [28]
3 years ago
14

Which of the following shows no correlation between the independent and dependent variables

Mathematics
1 answer:
tresset_1 [31]3 years ago
6 0

Answer:

C

Step-by-step explanation:

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Expand the given power using the Binomial Theorem. (10k – m)5
agasfer [191]

Answer:

(10k - m)^{5}=100000k-50000k^{4}m+10000k^{3}m^{2}-1000k^{2}m^{3}+50km^{4}-m^{5}

Step-by-step explanation:

* Lets explain how to solve the problem

- The rule of expand the binomial is:

(a+b)^{n}=(a)^{n}+nC1(a)^{n-1}(b)+nC2(a)^{n-2}(b)^{2}+nC3(a)^{n-3}(b)^{3}+...............+(b)^{5}

∵ The binomial is (10k-m)^{5}

∴ a = 10k , b = -m and n = 5

∴ (10k-m)^{5}=(10k)^{5}+5C1(10k)^{4}(-m)+5C2(10k)^{3}(-m)^{2}+5C3(10k)^{2}(-m)^{3}+5C4(10k)^{1} (-m)^{4}+5C5(10k)^{0}(-m)^{5}

∵ 5C1 = 5

∵ 5C2 = 10

∵ 5C3 = 10

∵ 5C4 = 5

∵ 5C5 = 1

∴ (10k-m)^{5}=100000k^{5}+(5)(10000)k^{4}(-m)+(10)(1000)k^{3}(m^{2})+(10)(100)k^{2}(-m^{3})+5(10k)^{1} (m^{4})+(10k)^{0}(-m^{5})

∴ (10k-m)^{5}=100000k^{5}-50000)k^{4}m+10000k^{3}m^{2}-1000k^{2}m^{3}+50km^{4}-m^{5}

5 0
3 years ago
type the correct answer in the box. if the measure of angle θis 7⁢π6. the equivalent measurement in degrees is °.
Travka [436]

If the measure of an angle "θ" is 7⁢(π/6), then it's equivalent measurement in degrees is 210°.

As per question statement, we have an angle "θ" whose measurement in radians is 7⁢(π/6). We have to convert this radians into its equivalent measurement in degrees. Thus, to solve this question, we will have need to know the relation between radians and degrees, which goes as,

("π" Radian = 180°).

Then, we will apply unitary method to our provided data and use the above-mentioned relation to obtain our desired answer, i.e.,

π Radian = 180°,

then, 7π Radian = (180*7)°,

Then, 7⁢(π/6) Radian = \frac{(180*7)}{6} =(30*7)=210°.

  • Radian: This is an unit of angle, equal to an angle at the center of a circle whose arc is equal in length to the radius.
  • Degrees: This is another unit of measurement of angles, one unit of this being equal to one three-hundred-and-sixtieth of the circumference of a circle.

To learn more about Radians and Degrees, click on the link below.

brainly.com/question/9045738

#SPJ4

8 0
1 year ago
In a dilation, the ratio of the length of a side on the image to the length of its corresponding side on the pre-image is called
frozen [14]
B scale factor
that shuld b d answer
5 0
3 years ago
(4,5);y=3/2x+3 write an equation of the line that passes through the given point that is parallel to the given line
Aleonysh [2.5K]

Answer:

2x-3/y-5/37=0

Step-by-step explanation:

here, given equation of line is

y=3/2x+3

or,y(2x+3)=3

or,2x+3=3/y

or,2x-3/y+3=0...eqn(i)

equation of any line parallel to line (i) is

2x-3/y+k=0.. eqn(ii)

since, the line passes through (4,5)[replacing x=4 and y=5 in eqn(ii), we get]

2*4-3/5+k=0

or,8-3/5+k=0

or,40-3/5+k=0

or,k=-5/37

substituting the value of k=-5/37 in eqn(ii)

2x-3/y-5/37=0 is the required equation of line.

3 0
3 years ago
A person purchased a leather jacket that was marked down by 40%. if the sale price of the jacket was $101.79, what was its origi
Rama09 [41]
The original price was $142.50. What I did was that I added 40% with $101.79 which was the sales price. With the 40% the person saved $40.71.

Hope this helps : )*****
5 0
3 years ago
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