People who get angry easily tend to have more heart disease. That is the conclusion of a study that followed a random sample of 12,986 adults for about four years. All subjects were free of heart disease at the beginning of the study. The subjects took the Spielberger Trait Anger Scale test, which measures how prone a person is to sudden anger. Displayed are data for the 8474 people in the sample who had normal blood pressure. CHD stands for "coronary heart disease," which includes people who had heart attacks and those who needed medical treatment for heart disease CHD No CHD Total Low anger 53 3057 3110 Moderate anger 110 4621 4731 High anger 27 606 633 Total 190 8284 8474 To access the complete data set, click the link for your preferred software format: Excel Minitab JMP SPSS TI R Mac-TXT PC-TXT CSV CrunchIt! Does the data support the study's conclusion about the relationship between anger and heart disease? STATE: Is the level of anger associated with coronary heart disease (CHD)? PLAN: The chi-square tests the null hypothesis, "There is no relationship between anger level and coronary heart disease (CHD" SOLVE: Check the conditionsl for inference. Obtain the test statistic and the test P-value. Are the conditions for using the chi-square test met? A) Yes, the sample is random (with each individual recorded in only one cell of the two-way table) and the expected counts are all large enough (greater than 5).
B) Yes, the sample is random and the sample size is large enough to overcome any potential lack of Normality (greater than 40)
C) Yes, the sample is random (with each individual recorded in only one cell of the two-way table) and the observed counts are all large enough (greater than 5).
D) No, at least one assumption of the chi-square test is not met.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

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

y=3n + 1

step-by-step explanation:

this is wrong because it says the second number is one less and i added one instead

a

step-by-step explanation:

when a number is between two straight lines it means the absolute value.

to find absolute value you need to know how many numbers is that number away from 0.

when finding absolute value the number will always come out positive

so absolute value of -3 is 3

absolute value of 3/2 is 3/2

absolute value of -2 is 2

absolute value of 3.5 is 3.5

absolute value of -1 is 1

now put these numbers in order:

a)   |-1|, |3/2|, |-2|, |-3|, |3.5|