Answer:
C
Step-by-step explanation:
Use sine rule
17/sin130=5/sinB
(5×sin130)÷17=sinB
sinB=0.2253017892
B=sin^-1ans above
=13.4
A=(130+13) subtracted from 180=37°
a/sin37=17/sin130
=13.4
Count the number of 1 bits after the last decimal point. Call this number n.
There will be 2^n subnets and 2^(8-n) - 2 hosts per subnet. (You can mutilply the number of subnets by the number of hosts per subnet to find the total number of hosts.)
/25: 255.255.255.128, 2 subnets, 126 hosts per subnet
/26: 255.255.255.192, 4 subnets, 62 hosts per subnet
/27: 255.255.255.224, 8 subnets, 30 hosts per subnet
/28: 255.255.255.240, 16 subnets, 14 hosts per subnet
/29: 255.255.255.248, 32 subnets, 6 hosts per subnet
Answer:
0.81 = 81% probability that a randomly selected student is taking a math class or an English class.
0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class
Step-by-step explanation:
We solve this question working with the probabilities as Venn sets.
I am going to say that:
Event A: Taking a math class.
Event B: Taking an English class.
77% of students are taking a math class
This means that
74% of student are taking an English class
This means that
70% of students are taking both
This means that
Find the probability that a randomly selected student is taking a math class or an English class.
This is , which is given by:
So
0.81 = 81% probability that a randomly selected student is taking a math class or an English class.
Find the probability that a randomly selected student is taking neither a math class nor an English class.
This is
0.19 = 19% probability that a randomly selected student is taking neither a math class nor an English class
Answer:
the options are missing, so I looked for a similar question:
- 4 inches by 3 inches
- 3 inches by 1 inch
- 6 inches by 2 inches
the correct options are:
3 inches by 1 inch
6 inches by 2 inches
A scaled copy means that the values of rectangle A are related to the value of rectangle B by a scaling factor. In this case, the scaling factor is 3:1. This means that for every 3 inches in rectangle A, you will have 1 inch in rectangle B.
E.g. imagine that instead of making the rectangle smaller, you would make it larger. Using the same scale 3:1, rectangle B could be 30 inches by 10 inches, or 600 inches by 200 inches.
Answer: A. profit of $4500
<u>Step-by-step explanation:</u>
r(x) = x² + 6x + 10
- <u>c(x) = x² - 4x + 5</u>
(r - c)(x) = 10x + 5
(r - c)(4) = 10(4) + 5
= 40 + 5
= 45
(r - c)(x) represents the profit (in hundreds of dollars) in x months
(r - c)(4) represents the profit (in hundreds of dollars) in 4 months
So, the new store will have a profit of $4500 in 4 months