Could I please get the answer to this..?

The probability that a person adds both sugar and honey is 0.04.

Step-by-step explanation:

P(H) means "probability that a random person adds honey"

P(S) means "probability that a random person adds sugar"

P(H or S) means "probability that a random person adds AT LEAST ONE OUT OF honey and sugar"

P(H and S) means "probability that a random person adds BOTH honey and sugar"

We can simplify it as "percentage of people who add" instead of "probability that a random person adds", and then it should be clear to us that

P(H or S) = P(H) + P(S) - P(H and S)

The equation comes from the face that if we want to compute percentage of people who add at least one sweetener, we can sum people who add honey and people who add sugar, but we would have counted people who use both TWICE, so we can correct by subtracting. As follows:

P(H and S) = P(H) + P(S) - P(H or S)

P(H and S) = 0.15 + 0.68 - 0.79 = 0.83 - 0.79 = 0.04

So the probability that a person adds both sugar and honey is 0.04.

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.

"it's not the heat, it's the humidity".   that's a partly valid phrase you may have heard in the summer, but it's actually both.   the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature.   this has important considerations for the human body's comfort.   when the body gets too hot, it begins to perspire or sweat to cool itself off.   if the perspiration is not able to evaporate, the body cannot regulate its temperature.   evaporation is a cooling process.   when perspiration is evaporated off the body, it effectively reduces the body's temperature.   when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases.   in other words, the human body feels warmer in humid conditions.   the opposite is true when the relative humidity decreases because the rate of perspiration increases.   the body actually feels cooler in arid conditions.   there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: