12 divided by 8 into a mixed number

Answers

Answer 1

Answer: Hi there, to turn a fraction into a mixed number we divide the numerator by the denominator, write down the whole number, and then right down the remainder. In this case, we divide the numerator which is 12 and 8 which is the denominator which is 8, 12 divided by 8 equals 1.5, 1 will be the whole number, 4 will be the numerator, and 8 will be the denominator. So, we get 1 4/8. Therefore, 12/8 as a mixed number is 1 4/8.

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Prove-: sin5A = 5cos^4 A sinA - 10cos^2 A sin^3 A + sin^5 A

Answers

$A=x\n\nsin5x=5cos^4xsinx-10cos^2xsin^3x+sin^5x\n\nL=sin(3x+2x)=sin3xcos2x+sin2xcos3x=(*)\n-------------------------------\nsin3x=sin(2x+x)=sin2xcosx+sinxcos2x\n=2sinxcosxcosx+sinx(cos^2x-sin^2x)\n=2sinxcos^2x+sinxcos^2x-sin^3x=3sinxcos^2x-sin^3x\n-------------------------------$

$sin3xcos2x=(3sinxcos^2x-sin^3x)(cos^2x-sin^2x)\n=3sinxcos^4x-3sin^3xcos^2x-sin^3xcos^2x+sin^5x\n=3sinxcos^4x-4sin^3xcos^2x+sin^5x\n-------------------------------$

$cos3x=cos(2x+x)=cos2xcosx-sin2xsinx\n=cosx(cos^2x-sin^2x)-2sinxcosxsinx\n=cos^3x-sin^2xcosx-2sin^2xcosx=cos^3x-3sin^2xcosx\n-------------------------------$

$sin2xcos3x=2sinxcosx(cos^3x-3sin^2xcosx)\n=2sinxcos^4x-6sin^3xcos^2x\n-------------------------------$

$(*)=3sinxcos^4x-4sin^3xcos^2x+sin^5x+2sinxcos^4x-6sin^3xcos^2x\n\n=5sinxcos^4x-10sin^3xcos^2x+sin^5x=R$

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Solve for d.5d+2(2-d)=3(1+d)+1
a)no solution
b)d=4
c)infinitely many solutions
d)d=-3

Answers

5d + 2(2 - d) = 3(1 + d) + 1
5d + 2(2) - 2(d) = 3(1) + 3(d) + 1
5d + 4 - 2d = 3 + 3d + 1
5d - 2d + 4 = 3d + 3 + 1
3d + 4 = 3d + 4
-3d    -3d
   4 = 4
   d = 0

$5d+2(2-d)=3(1+d)+1 \n 5d+4-2d=3+3d+1 \n 3d+4=3d+4 \n 0=0 \n \boxed{C.\ Infinitely\ many\ solutions}$

Solve photo question. Mathematics again.

Answers

The point slope formula is m = $(y2-y1)/(x2-x1)$
Or y₂-y₁ = m (x₂-x₁)
m is slope
Given point: (8, -4)
Slope: $-(5)/(6)$

Substitute:
y₂-(-4) = $- (5)/(6)$ (x₂ - 8)
(minus minus = plus)
y₂ + 4 = $-(5)/(6)$ (x₂ - 8)

The last option is the answer.

McDonald's sell milkshakes in two sizes a small milkshake contains 300ml and a large milkshake contains 2/3 more, how much does a large milkshake contain?

Answers

1/3 is 3/3 so 300/3 is 100 so 2/3 is 200 ml more so it holds 500 ml

22. The sampling distribution of refers to: (a) the distribution of the various sample sizes which might be used in a given study (b) the distribution of the different possible values of the sample mean together with their respective probabilities of occurrence (c) the distribution of the values of the items in the population (d) the distribution of the values of the items actually selected in a given sample (e) none of the above

Answers

Answer:

Option b

Step-by-step explanation:

As per central limit theorem, we know that if we draw a number of samples randomly from the population the sample mean for all the mean of samples will follow a normal distribution provided large samples are drawn.

The distribution which the sample mean follows is called the sampling distribution.

The distribution of various sample sizes will not follow any distribution. Hence I option wrong.

Distribution of values in the population are parameters and they do not follow any distribution. Option d , the values of the items selected will not follow any distribution

Only correct option is

(b) the distribution of the different possible values of the sample mean together with their respective probabilities of occurrence

If I have a table of cups of flour and cookies and you multiply the number of cups of flour to get the number of cookies which is x and y