Answer:
100°
Step-by-step explanation:
The sum of the angles in a triangle is 180°
180°-30°-50°=100°
This is a binomial distribution with n = 5, p = 0.55, q = 1 - 0.55 = 0.45, x = 0, 1, 2, 3
P(x) = nCx p^x q^(n - x)
P(x ≤ 3) = 1 - P(x > 3) = 1 - [P(4) + P(5)]
P(4) = 5C4 x (0.55)^4 x (0.45) = 0.2059
P(5) = 5C5 x (0.55)^5 x 1 = 0.0503
P(x ≤ 3) = 1 - (0.2059 + 0.0503) = 1 - 0.2562 = 0.7438
Answer:
930 dollars
Step-by-step explanation:
Let software programs = S
Video game = V
Given that a company makes a profit of $7 per software program that is, 7S and $8 per video game that is, 8V. The company can produce at most 90 software programs and at most 80 video games per week. Since the Total production cannot exceed 120 items per week.
How many items of each kind should be produced per week in order to maximize the profit?
The to get profit P
P = 7S + 8V
Since the profit on video game is higher, we will give maximum production to video game. Therefore,
P = (30 × 7) + ( 8 × 90)
P = 210 + 720
P = 930 dollars
Using the function concept, it is found that:
- The 1st graph is not a function.
- The 2nd and the 3rd graph are functions.
<h3>What is a function?</h3>
- In a <em>function</em>, <u>one value of the input can be related to only one value of the output</u>.
- In a graph, it means that for each value of x(horizontal axis), there can only be one respective value of y(vertical axis), that is, there cannot be point that are aligned vertically.
In this problem:
- On the <em>first </em>graph, there are points that are aligned vertically, for example, when x = -2, y = -2 and y = 2, hence, it is not a function.
- On the <em>2nd and on the 3rd graph</em>, there are no points aligned vertically, hence, they are functions.
To learn more about the function concept, you can take a look at brainly.com/question/12463448
The answer would be T F -> F for dogs have four legs, and cats have ten lives. Have a great day!