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3 years ago

7

Gabriel works at an amusement park. He loads 15 new passengers onto the roller coaster every 5/6 of a minute. At what rate does

Gabriel
load passengers?

Please solve this for 15 points

1 answer:

dem82 [27]3 years ago

4 0

Answer:

12 1/2 or 12.5

Step-by-step explanation:

all you have to do is multiply 15 times 5/6

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12. A quality control procedure at a manufacturing facility involves selecting 5 items at random from a large batch, and then ac

Sergio [31]

Answer:

The probability is 0.9421

Step-by-step explanation:

Here, we want to calculate the probability that the batch will be accepted

For it to be accepted, 3,4 or 5 of the items would pass inspection

let p be the probability of a single item

passing the inspection

This probability is 80% = 0.8

Let q be the probability of failing inspection = 2-0.8 = 0.2

The Bernoulli approximation of the probability distribution for 3 passing the inspection out of five will be;

5 C 3 0.8^3 0.2^2 = 0.2048

Next we calculate for 4 out of the five

That will be

5 C 4 0.8^4 0.2 = 0.4096

Finally we calculate for all 5

5 C 5 0.8^5 0.2^0 = 0.32768

So the probability that the batch will be accepted will be;

0.32768 + 0.4096 + 0.2048 = 0.94208

6 0

3 years ago

Helene claimed that the expected value when rolling a fair die was 3.5. Steve said that wasn't possible. He said that the expect

Nesterboy [21]

Answer:

Helene is right

Step-by-step explanation:

Mathematically, the expected values is defined as the sum of all the possible outcomes that an event can have times the probality of the respective outcome:

x = ∑ p *i,

where x is the expected value, i represents every outcome that can occur, and p is the probability of said outcome.

Now, for the case of a dice, the expected value would be:

x = 1 * $\frac{1}{6}$ + 2 * $\frac{1}{6}$ + 3 * $\frac{1}{6}$ + 4 * $\frac{1}{6}$ + 5* $\frac{1}{6}$ + 6 * $\frac{1}{6}$ ,

as every outcome has the same chance of happenning. Solving we get that:

x= $\frac{1}{6}$ *(1 +2 +3 +4+5+6) = $\frac{1}{6}$ * 21 = 3.5

Helene is right.

4 0

3 years ago

Lilly estimated a quotient of 120 and found an actual quotient of 83. what should she do next?

ZanzabumX [31]

She should explain how she got 83 and maybe why she guessed 120 before

5 0

3 years ago

Hi, i really need help!<br> Look at the images below:<br> (there is 2 images per question)

ycow [4]

Answer:

The last one

Step-by-step explanation:

The triangle is simply reflected across the x-axis, so the side lengths and angle measures do not change.

7 0

3 years ago

How can you evaluate an algebraic expression

fredd [130]

Answer:

Step-by-step explanation:

In algebra we work with variables and numerals. To evaluate an algebraic expression simply means that you are going to determine the value of an expression by substituting and evaluating using the operation order.

in summary in order to evaluate an algebraic expression

you must identify the variable and its value
you will substitute the given value for the variable
complete the necessary calculations

Take for example;

evaluate 2a + 4b - 2c

given that a = 2 , b = 1 , c = 5

since you already know the value of the variables you substitute them into the question

we have

2(2) + 4(1) +2 ( 5)

4 + 4 + 10

18.............. answer.

6 0

3 years ago