(Problem for Questions 17 - 19). Research has shown that when children and adolescents have contact with peers of a different race or ethnicity, this decreases the likelihood of racial/ethnic discrimination (Pettigrew & Tropp, 2008). In a study my colleagues and I conducted we examined the extent to which children had friendships with peers of a different race or ethnicity and whether that increased the likelihood to intervene when a peer was being bullied because of their race or ethnicity. So in a sample of early adolescents we measured how many friendships with peers of different races or ethnicity participants had (on a scale of 1 = none to 4 = Many) and how likely they were to say something to their classmates who were bullying another classmate because of their race and ethnicity (on a scale of 1 = Really not likely to 6 = really likely). Here is data from a subsample of participants: Friendship contact Likelihood of Intervention 5 4 6 4 3 2 1 6 4 5 6 5

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Q: Solve equation.   -4 | 2x + 1 | + 12 = 0

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Q: solve #3, g and h

A: g):Consider the function h(x) = x5/3 -5x2/3.The first derivative of the function with respect to x…

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A: Here we have , to write in interval notation,  x2+5x>24

Q: 8) 2 . 1 1 X - 3

A: Simplification

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A: a. The given equation is

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A: Given:  Let I=∫02∫04-y2∫02-y z dx dz dy To Find: To evaluate the given triple integration.

Q: Solve. Give solution(s) as exact value(s). x4 - 4x3 + 4x2 + 36x - 45 = 0

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A: Given equation is : 312=300+300e-0.08x To find the value of x.

Q: Solve for a. c = ab

A: Given: c=ab

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Q: 6. Solve the equation for x. V3x+2-3/2x-2 C. 8 a. 15 15 d. 8 b. x- 3

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Q: 4х +1 Зx + 2х 1 3х +2 | 8 a.

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A: Given that : The equation is xx+ 8 + 2x + 3 = 2x + 56x2 + 11x + 24 .

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.