The point-slope form:

m - slope
(x₁, y₁) - the point
The formula of a slope:

We have the points (5, 4) and (2, -2). Substitute:

- <em>point-slope form</em>
<em>add 4 to both sides</em>
- <em>slope-intercept form</em>
<em>subtract 2x from both sides</em>
<em>change the signs</em>
- <em>standard form</em>
-------------------------------------------------------------------
From the table we have two points (1, 3) and (2, 7). SubstituteL

- <em>point-slope form</em>
<em>add 3 to both sides</em>
- <em>slope-intercept form</em>
<em>subtract 4x from both sides</em>
<em>change the signs</em>
- <em>standard form</em>
The probability the man will win will be 13.23%. And the probability of winning if he wins by getting at least four heads in five flips will be 36.01%.
<h3>How to find that a given condition can be modeled by binomial distribution?</h3>
Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
P(X = x) = ⁿCₓ pˣ (1 - p)⁽ⁿ⁻ˣ⁾
A man wins in a gambling game if he gets two heads in five flips of a biased coin. the probability of getting a head with the coin is 0.7.
Then we have
p = 0.7
n = 5
Then the probability the man will win will be
P(X = 2) = ⁵C₂ (0.7)² (1 - 0.7)⁽⁵⁻²⁾
P(X = 2) = 10 x 0.49 x 0.027
P(X = 2) = 0.1323
P(X = 2) = 13.23%
Then the probability of winning if he wins by getting at least four heads in five flips will be
P(X = 4) = ⁵C₄ (0.7)⁴ (1 - 0.7)⁽⁵⁻⁴⁾
P(X = 4) = 5 x 0.2401 x 0.3
P(X = 4) = 0.3601
P(X = 4) = 36.01%
Learn more about binomial distribution here:
brainly.com/question/13609688
#SPJ1
Total height of the cake and the candles is 17.1 cm
Step-by-step explanation:
- Step 1: Convert the mixed fractions into decimal expressions.
11 7/10 cm = 117/10 = 11.7 cm
5 4/10 cm = 54/10 = 5.4 cm
- Step 2: Find total height of the cake and the candles
Total height = 11.7 + 5.4 = 17.1 cm
Answer: 117
Step-by-step explanation: Angle FAB is just 360 degrees minus all the other angles except 30. If you view the green/shaded area as a circle, there are 360 degrees, and FAB is a section of it. So 360-70-71-48-54=117. I hope this helps!
Hi there !!
The sum of two numbers is the number obtained by adding two given numbers. However, the opposite numbers are two numbers whose sum is equal to 0.
Example : (+3) + (-3) = 0
The answer is :
(+2) + (-2) = 0 because (-2) is the additive inverse of (+2).
• It was nice to help you, Jrlorena!