Answer: Roberto has 2 DIMES and 6 NICKELS.
Step-by-step explanation:
<em><u>Equation 1:</u></em> 2 * 10 = 20 cents (Dimes)
<em><u>Equation 2:</u></em> 6 * 5 = 30 cents (Nickels)
<em> </em><u><em>Solution:</em></u><em> </em>30 + 20 = 50 cents
Step-by-step explanation:
![\dfrac{w}{3}6\qquad\text{divide both sides by 3}\\\\\dfrac{3w}{3}>\dfrac{6}{3}\\\\w>2\\\\](https://tex.z-dn.net/?f=%5Cdfrac%7Bw%7D%7B3%7D%3C1%5Cqquad%5Ctext%7Bmultiply%20both%20sides%20by%203%7D%5C%5C%5C%5C3%5C%21%5C%21%5C%21%5C%21%5Cdiagup%5Ccdot%5Cdfrac%7Bw%7D%7B3%5C%21%5C%21%5C%21%5C%21%5Cdiagup%7D%3C3%5Ccdot1%5C%5C%5C%5Cw%3C3%5C%5C%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%3D%5C%5C3w%2B5%3E11%5Cqquad%5Ctext%7Bsubtract%205%20from%20both%20sides%7D%5C%5C%5C%5C3w%2B5-5%3E11-5%5C%5C%5C%5C3w%3E6%5Cqquad%5Ctext%7Bdivide%20both%20sides%20by%203%7D%5C%5C%5C%5C%5Cdfrac%7B3w%7D%7B3%7D%3E%5Cdfrac%7B6%7D%7B3%7D%5C%5C%5C%5Cw%3E2%5C%5C%5C%5C)
![\text{If is}\ \bold{OR},\ \text{then}:\\\\w2\Rightarrow w\in\mathbb{R}\ /\text{any real number/}\\\\\text{If there is a mistake, and it should be}\ \bold{AND},\ \text{then}:\\\\w2\Rightarrow 2](https://tex.z-dn.net/?f=%5Ctext%7BIf%20is%7D%5C%20%5Cbold%7BOR%7D%2C%5C%20%5Ctext%7Bthen%7D%3A%5C%5C%5C%5Cw%3C3%5C%20or%5C%20w%3E2%5CRightarrow%20w%5Cin%5Cmathbb%7BR%7D%5C%20%2F%5Ctext%7Bany%20real%20number%2F%7D%5C%5C%5C%5C%5Ctext%7BIf%20there%20is%20a%20mistake%2C%20and%20it%20should%20be%7D%5C%20%5Cbold%7BAND%7D%2C%5C%20%5Ctext%7Bthen%7D%3A%5C%5C%5C%5Cw%3C3%5C%20and%5C%20w%3E2%5CRightarrow%202%3Cw%3C3%5Cto%20w%5Cin%282%3B%5C%203%29)
Answer:
1.282, -0.5244,...
Step-by-step explanation:
We know that Z is a standard normal variate with mean =0, and std dev =1
a) z-score separates the highest 10% from the rest of the scores
= 90th percentile = 1.282
b) z-score separates the lowest 30% from the rest of the scores
= 30th percentile = -0.5244
c) z-score separates the lowest 40% from the rest of the scores
= 40th percentile = -0.2533
d) z-score separates the lowest 20% from the rest of the score
=20th percentile = -0.8416
Answer:
x=-9
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-8-(-6))/(-9-(-9))
m=(-8+6)/(-9+9)
m=-2/0
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x=-9