Answer:
a) 0.1587 b) 0.023 c) 0.1587 d) 1.15 e)-0.95
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 510
Standard Deviation, σ = 100
We are given that the distribution of SAT score is a bell shaped distribution that is a normal distribution.
Formula:
a) P(score greater than 610)
P(x > 610)
Calculation the value from standard normal z table, we have,
b) P(score greater than 710)
Calculating the value from the standard normal table we have,
c)P(score between 410 and 510)
d) x = 625
e) x = 415
This is
(6(3)^-1 (-5)^0)^-3
= (6/3 * 1)^-3
= (2)^-3
= 1/8 Answer
Answer: 51°F
Step-by-step explanation:
From the question, we are informed that the average daily temperature in Denton rose from -8°F in January to 43°F in March.
Let the rise in average daily temperature from January to March be calculated as:
= 43°F - (-8°F)
= 43°F + 8°F
= 51°F
Formula of Area of triangle.... A=1/2bh where A is area, b is the base, and h is height.
h= 3b-1
Area=12
At this point you want to plug in what you know into the equation.
12=1/2b(3b-1)
Then you can solve for b. First multiply each side by 2 to cancel the fraction.
24=b(3b-1)
Then distribute the b term.
24=3b^2 - b
Then set the equation equal to zero.
0=3b^2-b-24
Then either factor or use the quadratic equation to solve for b.
0=(3b-8)(b-3)
which means that b=3 and b=8/3
You then plug both answers back into the original equation (12=1/2b(3b-1))and see if there are any extraneous solutions. When you do, you can see that 8/3 as an answer does not equal 12. Therefore, the correct answer and the base of the triangle is equal to 3.
3 H and 1 T l:- number of sequences = 4P3 = 4*3*2*1 / 3*2*1 = 4
Similarly for 3T and 1 H there are also 4
Total = 8 (answer).