Answer:
The probability is 0.6796
Step-by-step explanation:
Given
Population Mean - 100
Population Standard Deviation - 25
As we know
z = x-μ/σ, where:
z is the standard score
x is the raw score
μ is the population mean
σ is the population standard deviation
Z value for mean of sample = 95
z1 = -100+95/25 = -5/25 = -0.2
P value for Z = -0.2 is 0.2912
Z2 = 100-105/25 = 0.2
P(z > 0.2 = 1 - P(z ≤ 0.2) = 1 - 0.0294 = 0.9706
P(-0.2 < z < 0.2) = 0.9706 - 0.2912= 0.6796
The probability is 0.6796
Just add the numbers in front of variables if the variables are the same!
2) 5x+7+2x=7x+7 Because you would add the 5 and 2, and since the 7 doesn't have a variable you add it onto the end.
3) 16+4p (13p-9p is 4p)
4) y^2 + 5y (you can't combine y^2 with a y variable because it has a different exponent! if there is no exponent shown it is assumed to be 1. If exponents are the same you combine them, but if not you leave it as is)
5) You distribute the 5 (multiply) with 2h and 3, leaving 10h+15+3h which is 13h+15
6) 19+4n (12+7 is 19, and 18n-14n is 4n)
7) Distribute the 2 to get 18+10k
8) Distribute the 5 to get 15m+10
9) Distribute the 6 to get 6g+6h (you can't combine these because they are different variables)
10) The GCF of 4 and 8 is 4. Place the 4 out of the parentheses. Divide 4d and 8 by four and place them inside the parentheses. 4d is 4 times d so if you divide 4 by 4 you're left with 1d or just d. 8 divided by four is two. 4(d+2)
11) GCF= 7 so 7(3p+5q)
12) GCF= 9 so 9(2x+y)
The choices are:
A)
2x - 15 ≤ 4y
B)
2x - 15 ≥ 4y
C)
15 - 2x ≤ 4y
D)
<span>15 - 2x ≥ 4y
</span>
Therefore, the best and most correct answer among the choices provided by the question is the fourth choice "<span>15 - 2x ≥ 4y". </span>I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
Step-by-step explanation:
y(x) = (1/8)^x
y(1/3) = (1/8)^(1/3) = 0.5
Answer:
The fair charges $5 for admission. Tom is going to the fair today. Therefore, Tom will spend $5 for admission to the fair today.
The radius of a circle is one-half the length of the diameter of a circle. The diameter of a circle is 10 ft. Therefore, the radius of the circle is 5 ft.
Step-by-step explanation:
Deductive reasoning or deduction, is one of the two basic types of logical inferences. A logical inference is a connection from a first statement to a second statement for which the rules of logic show that if the first statement is true, the second statement should be true. Basically one logical statement defines the base of the argument to reach the conclusion.
Here we can see that in first case:
The fair charges $5 for admission, so we know the fact that it charges $5 for the admission, now whoever goes to the fair will have to spend $5 to get in. Tom is going to the fair so Tom will spend$5 for admission to the fair. Therefore, this statement is deductive reasoning.
Case 2:
The radius of a circle is one-half the length of the diameter, this sentence is a fact. Now the diameter of a circle is 10ft so it is obvious that based on the previous sentence we will calculate the radius of the circle that is half of the diameter.
So only these two examples are based on deductive reasoning.
