Answer: Choice C
x/w and z/(y+v)
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Explanation:
All answer choices have that first fraction with a denominator of w. This implies that AB = w is the hypotenuse. This only applies to triangle ABD.
Focus on triangle ABD. It has an opposite leg of AD = x, when the reference angle is ABD (or angle B for short).
So we can say sin(ABD) = opposite/hypotenuse = AD/AB = x/w
x/w is one of the answers
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Also note how y+v is the same for each denominator in the second fraction. y+v is the hypotenuse of triangle ABC. When the reference angle is ABD (aka angle ABC), the opposite side of this same triangle is AX = z
Therefore,
sin(ABD) = sin(ABC) = opp/hyp = AC/BC = z/(y+v)
z/(y+v) is the other answer
Side note: triangle ACD is not used at all.
Replace x with 3 and solve:
10 x 5^3
Simplify:
10 x 125 = 1250
Answer: y = 1250
The slope is 4 and the y-intercept is 
Step-by-step explanation:
The general form of a linear equation is Ax + By + C = 0, where
- A is the coefficient of x
- B is the coefficient of y
- C is the numerical term
- A, B, and C are integers
- The slope of the line =

- The y-intercept =

∵ The linear equation is 0 = 2 - 3y + 12x
- Switch the two sides and arrange the terms as the general
form above
∴ 12x - 3y + 3 = 0
∴ A = 12
∴ B = -3
∴ C = 2
∵ The slope of the line = 
- Substitute A by 12 and B by -3
∴ The slope of the line = 
∴ The slope of the line = 4
∵ The y-intercept = 
- Substitute C by 2 and B by -3
∴ The y-intercept = 
∴ The y-intercept = 
The slope is 4 and the y-intercept is 
Learn more:
You can learn more about the linear equation in brainly.com/question/4819659
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Answer:
Yes, evidence shows that the cream will improve the skin of more than 40% of women over the age of 50 in 0.01 significance level.
Step-by-step explanation:
We need to make a hypothesis test.
Let p be the proportion of women who used cream report skin improvement.
: p=0.4
: p<0.4
To test the hypothesis, we need to calculate z-score of the sample mean and compare its probability with the significance level.
z=
where
- p(s) is the sample proportion of women reported improvement (0.5)
- p is the proportion assumed under null hypothesis. (0.4)
- N is the sample size (70)
Putting the numbers:
z=
≈ 1.71
And P(z<1.71) ≈ 0.955. Since 0.955>0.01 we fail to reject the null hypothesis that the cream will improve the skin of more than 40% of women.