QUESTION 1 The Childhood Autism Rating Scales (CARS), for the population at large, has a mean of 33. A social worker is interested in knowing whether a new
therapy technique employed with Autistic Children lowers their scores on the CARS. She takes a random sample of 11 children with Autism, has them
undergo the new therapy technique for three months, and finds their scores to be the following on the CARS: 32.01, 33.22. 30.99, 31.64, 33, 32.50,
33.67.33.11, 31.54, 31.99.32. Test the null hypothesis at the .01 level of significance.
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option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

i think the amount would be $140.62

60 for the first and 130 for the second

step-by-step explanation: