8-3 (Restaurant work scheduling problem) The

Five times the sum of a number and 27 is greater than or equal to six times the sum of that num

stepladder [879]

Question:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.

What is the solution set of this problem?

Answer:

$x \leq -21$

Step-by-step explanation:

Given

<em>Represent the number with x</em>

So:

$5 * (x + 27) \geq 6 * (x + 26)$

Required

Determine the solution set

$5 * (x + 27) \geq 6 * (x + 26)$

Open Both Brackets

$5 * x + 5 * 27 \geq 6 *x + 6 * 26$

$5x + 135 \geq 6x + 156$

Collect Like Terms

$5x - 6x \geq 156-135$

$- x \geq 21$

Multiply both sides by -1

$x \leq -21$

Hence, the solution set is $x \leq -21$

7 0

3 years ago

The shape on the left is translated to the shape on the right.

Angelina_Jolie [31]

Answer:

A

Step-by-step explanation:

Translation means moving so when saying Translate to the right your really moving it to the right. The questions says The shape on left is the original and the right is translated which means the left is the pre-image while right is the image. A is the only answer that doesn’t say the right is the pre image. Also, “ ‘ “ is used to distinguish the pre image coordinates vs the image coords so it easier.

4 0

3 years ago

Choose the correct slope of the line that passes through the points (1, âˆ’3) and (3, âˆ’5). (1 point)

gayaneshka [121]

1 is the correct answer

6 0

3 years ago

Binomial Probability

ASHA 777 [7]

Answer:

4.39% theoretical probability of this happening

Step-by-step explanation:

For each coin, there are only two possible outcomes. Either it lands on heads, or it lands on tails. The probability of a coin landing on heads is independent of other coins. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$