Aperson who claims to be psychic says that the probability, p, that he can correctly predict the outcome of the value of of a card drawn from a deck of cards in another room is greater than 1 divided by 13, the value that applies with random guessing. if we want to test this claim, we could use the data from an experiment in which he predicts the outcomes for n trials. state hypotheses for a significance test, letting the alternative hypothesis reflect the psychic's claim.

The required null and alternative hypothesis are and .

Step-by-step explanation:

Consider the provided information.

A person who claims to be psychic says that the probability, p, that he can correctly predict the outcome of the value of a card drawn from a deck of cards in another room is greater than 1/13, the value that applies with random guessing.

To test this claim we need to use the data from an experiment in which he predicts the outcomes for n trials.

Since, alternative hypothesis represents the effect and null hypothesis represents no effect,

Therefore null hypothesis will be: The person can predict outcome of the value of a card drawn in another room 1/13.  

The alternative hypothesis will be the person can predict outcome of the value of card is greater than 1/3.  

Hence, the required null and alternative hypothesis are and .

a) 0.25x times 3. (could be wrong on equation.)

b) 2.25 pound of dark chocolate. (can i eat all the chocolate? plz? anyway, again, could be wrong, but i hope im right. all the chocolate together should be 5.25 pounds)

have a good day!

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be