Apsychologist is investigating the hypothesis that children who grow up as the only child in the household are more introvert than those who grow up in larger families. a sample of n = 30 only children (ie, who do not have siblings) is obtained and each child is given a standardized personality test. lower scores on this test indicate more introvert personality. for the general population, scores follow n(μ=50, σ=15). but the mean of these 30 only children is x = 40 .

is there enough evidence that suggests those who do not have siblings are more introvert than those who have siblings? carry out a hypothesis test using α = 0.10 .
(a) state the null hypothesis and alternative hypothesis.
(b) calculate the p-value. show your steps.
(c) what is your decision regarding the two hypotheses?

so firstly, we need to isolate the y variables to be able to solve these inequalities. firstly, add 0.5x on both sides of the first inequality and subtract 1.5x on both sides of the second inequality:

now since the slope is positive for the first inequality, this means that the line going upwards belongs to the first inequality, and the line going downwards belongs to the second inequality.

next, since y ≥ in the first inequality, this means that the shaded region will be above the first inequality's line, thus shading regions a and b.

next, since y ≤ in the second inequality, this means that the shaded region is going to be below this line, thus shading regions a and c.

since both lines shade region a, this means that region a is the solution.

step-by-step explanation:

mark brainliest!

are ya tryin to ask something or is this a statement

answer:

at time x=0 we have 1000, at time x=1 we have 2000, at time x=2 we have 4000.  

so that's an initial value of 1000 and a ratio of 2,

y = 1000 (2^x)

hope this !

hello there!

i believe the answer is

(cot2+1)/sec2=cot2

    csc2/sec2=cot2

  (1/sin2)/(1/cos2)=cot2

  (1/sin2)(cos2/1)=cot2

  cos2/sin2=cot2

  (1/tan2)=cot2

  (cot2)=(cot2)

hope this !

hyperz ^_^