Answer:
a) 0.00031
b) 0.0017
c) 0.31
d) 0.00018
Step-by-step explanation:
attached below is the detailed solution
Total number of 7-poker cards are 52P7 = 133784560
A) Determine the probabilities of Seven-card straight
probability of seven-card straight = 0.00031
B) Determine the probability of four cards of one rank and three of a different rank
P( four cards of one rank and three of different rank ) = 0.0017
C) Determine probability of three cards of one rank and two cards of each two different ranks
P( three cards one rank and two cards of two different ranks ) = 0.31
D) Determine probability of two cards of each of three different ranks and a card of a fourth rank
P ( two cards of each of three different ranks and a card of fourth rank ) = 0.00018
Given:
Renting a small moving truck for a day costs $29.95 plus $0.79 per mile that the truck is driven. Ms. Knowles rented a truck for one day and paid $91.57.
The equation is

To find:
Whether the statement are true or false.
Solution:
We have,

Here,
Fixed cost = 29.95
Variable cost = 0.79d, it depends on the number of miles Ms. Knowles drove.
So, the variable d represents the number of miles Ms. Knowles drove. Hence, statement A is true.
The term 0.79d represents the charge in dollars for the distance driven. Hence, statement B is true.
You can isolate the term 0.79d by subtracting 29.95 from both sides of the equation.
Hence, statement C is false.
512,724
- 96,473
__________
416,251
I'm sure there's an easier way to do this, but this method does work:
First, AB = CD = CG + GF + FD, so FG = 2.
By the Pythagorean theorem, in triangle AFD we get

and in triangle BCG,

Angles AFD and EFG form a vertical pair, so they are congruent and have measure

Similarly, angles BGC and FGE are congruent and have measure

Then the remaining angle in triangle EFG has measure

We can solve for the lengths of FE and GE exactly by applying the law of sines:


Let
be the semiperimeter of triangle ABE, so that

Then according to Heron's formula, the area of triangle ABE is

Answer:
84 units2
Step-by-step explanation:
First, you multiply 24 *7 = 168
Second, you divide 168 / 2 = 84
Lastly, have a great day!