Answer:
0.0125
Step-by-step explanation:
The P-value can be calculated by using excel function T.DIST.RT(2.968,6).
Right tail is used in the function because our alternative hypothesis has greater than sign (>) whereas 2.968 represent test statistic value and 6 represents degree of freedom. The resultant p-value from excel function is 0.0125.
Or if we use t- distribution right tail area table, we see that 6 for degree of freedom the value in table is there are two value 2.44691 and 3.14627 which corresponds to p=0.025 and p=0.01. As 2.44691 is smaller than 2.968 so we take p=0.01 against 3.14627. Thus, in this scenario p-value would be 0.01.
Certin, because they can be any two cards.
B.0 because integers cannot be decimals.
Answer:
A = 5x² + 6x + 1
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A =
h (a + b)
where h is the height and a, b the parallel bases, thus
A =
(x + 1)(6x - 5 + 4x + 7)
=
(10x + 2)(x + 1)
= (5x + 1)(x + 1) ← distribute using FOIL
= 5x² + 6x + 1