Apsychologist obtains a random sample of 2020 mothers in the first trimester of their pregnancy. the mothers are asked to play mozart in the house at least 30 minutes each day until they give birth. after 5 years, the child is administered an iq test. it is known that iqs are normally distributed with a mean of 100. if the iqs of the 2020 children in the study result in a sample mean of 104.3and sample standard deviation of 14, is there evidence that the children have higher iqs? use the alpha equals 0.05α level of significance.

What expression is equivalent to 1/2(2+3x-6)

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.

Aclassmate thinks that solving a system by graphing gives an exact answer when the lines appear to cross at a grid point, but only an approximate answer when they don't. explain why this isn't true.