Using the binomial distribution, it is found that there is a 0.0116 = 1.16% probability that exactly 4 out of the first 14 customers buy a magazine.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- 7% of his customers buy a magazine, hence p = 0.07.
- A sample of 14 customers is taken, hence n = 14.
The probability that exactly 4 out of the first 14 customers buy a magazine is P(X = 4), hence:
0.0116 = 1.16% probability that exactly 4 out of the first 14 customers buy a magazine.
More can be learned about the binomial distribution at brainly.com/question/24863377
Let x = cost of one t-shirt
Let y = cost of one sweatshirt
Jayden: 9x + 3y = $420
Carson: x + 6y = $296. Multiply Jayden's equation by -2
Jayden: -18x - 6y = $-840
Carson: x + 6y = $296. Add the equations together to eliminate variable y.
New equation: -17x = $-544. Divide each side by -17.
x = $32. Plug this value into one of the original equations.
32 + 6y = $296. Subtract 32 from each side.
6y = 264. Divide each side by 6.
y = 44.
Plug both your x and y value into one of the equations to ensure they're correct.
9(32) + 3(44) = 420
420 = 420.
x = 32
y = 44.
Find two points and draw a line through them
y = 1/2(2) + 5
y = 1 + 5, 6
One point is (2,6)
y = 1/2(0) + 5
y = 5
Second point is (0,5)
I inserted a graph on desmos for example
Answer:
∠ b = 12°
Step-by-step explanation:
Complementary angles sum to 90°, thus
a + b = 90 ← substitute a = 78
78 + b = 90 ( subtract 78 from both sides )
b = 12
That is ∠ b = 12°
Answer: · D'(-25,-10) E'(-25,15) F'(10,15)
