8. Perform the indicated goodness-of-fit test.
In studying the occurrence of particular genetic characteristics, the following sample data were
obtained. At the 0.05 significance level, test the claim that the characteristics occur with the same
frequency. Select the correct conclusion about the null hypothesis,
Characteristic
Frequency
A B C D E F
28 30 45 48 38 39
OFail to reject the null hypothesis. There is not sufficient evidence to warrant Rejection of the claim
that the characteristics occur with the same frequency.
OReject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that
the characteristics occur with the same frequency.
OReject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the
characteristics occur with the same frequency.
OFail to reject the null hypothesis. There is sufficient evidence to warrant Rejection of the claim that
the characteristics occur with the same frequency.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

i those same problems in math and dont know how to do them

pi or 3.14159265359 is an irratinal decimal

the linear relationship that represents a variation in direct proportion is the linear function that varies according to the numbers of its domain, for example the cost of producing x number of items can be represented in direct proportion by f (x) = mx + b, where m is the constant of proportionality, x the number of articles produced and b the fixed cost