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UkoKoshka [18]
10 months ago
12

I need help with this question, please. This is non graded.

Mathematics
1 answer:
zaharov [31]10 months ago
5 0

The rule of the volume of the rectangular prism is

V=L\times W\times H

L is the length

W is the width

H is the height

From the attached picture we can see

L = (2x - 3)

W = (x + 1)

H = (3x + 4)

We will substitute them in the rule above

V=(2x-3)(x+1)(3x+4)

We will multiply the first 2 brackets, then multiply the answer by the 3rd bracket

\begin{gathered} (2x-3)(x+1)=(2x)(x)+(2x)(1)+(-3)(x)+(-3)(1) \\ (2x-3)(x+1)=2x^2+2x-3x-3 \\ (2x-3)(x+1)=2x^2-x-3 \end{gathered}

Multiply this answer by the 3rd bracket

\begin{gathered} (2x^2-x-3)(3x+4)= \\ \left(2x^2\right)\left(3x\right)+\left(2x^2\right)\left(4\right)+\left(-x\right)(3x)+(-x)(4)+(-3)(3x)+(-3)(4)= \\ 6x^3+8x^2-3x^2-4x-9x-12= \\ 6x^3+5x^2-13x-12 \end{gathered}

Then the volume of the prism is

V=6x^3+5x^2-13x-12

The answer is the 2nd choice

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Decide whether the Experiment is a Binomial Experiment. If it is not, explain why:
devlian [24]

Answer:

Experiment 1 and 3 are clear binomial experiments.

Experiment 2 needs tweaking to be a binomial experiment.

Check Explanation.

Step-by-step explanation:

A binomial experiment is one in which

1) The probability of success doesn't change with every run or number of trials.

2) It usually consists of a fixed number of runs/trials with only two possible outcomes, a success or a failure.

3) The outcome of each trial/run of a binomial experiment is independent of one another.

Checking each of the experiments one at a time

- You observe the gender of the next 850 babies born at a local hospital. The random variable represents the number of boys.

For this experiment,

1) The probability of success doesn't change with every run or number of trials as it is a 50% chance that each child examined is a boy.

2) It consists of a fixed number of runs (850) with only two possible outcomes, success (if it's a boy) and failure (if it's a girl).

3) The probability of each trial being a boy is independent from all the other trials.

Hence, this experiment is a binomial experiment.

- You draw a marble 350 times from a bag with three colors of marbles. The random variable represents the color of marble that is drawn.

For this experiment,

1) If the marbles aren't being replaced after each draw, the probability of success, that is, picking a particular marble colour changes from trial to trial.

2) Although, it consist of a fixed number of runs/trials, there are more than two possible outcomes with 3 types of colours. Unless the experiment focuses on one colour and treats the other two colours as 'others', this condition too isn't satisfied.

3) Without replacement, the probability of success (picking a particular marble colour) in one trial isn't independent of the other trials.

This is not a binomial experiment as it doesn't satisfy all the required conditions to be one.

- Testing a cough suppressant using 820 people to determine if it is effective. The random variable represents the number of people who find the cough suppressant to be effective.

1) The probability of success doesn't change with every run or number of trials as it is the same chance that each person finds the cough suppressant to be effective.

2) It consists of a fixed number of runs (820) with only two possible outcomes, success (cough suppressant is effective) and failure (cough suppressant isn't effective).

3) The probability of each trial being a person that finds the cough suppressant to be effective, is independent from all the other trials.

Hence, this experiment is a binomial experiment.

Hope this Helps!!!

7 0
3 years ago
Multiply 2 1/4 x 3 2/3
UkoKoshka [18]

Answer:

it would be 33/4 which is equal to 8 1/4

:) hope it helped

7 0
2 years ago
Read 2 more answers
AandBhave coordinates (-1,1.5) and (3,2).
Paraphin [41]
Gradient = y2-y1/x2-x1 = 2-1.5/3-(-1) = 1/8

Gradient = 1/8
5 0
1 year ago
Alberto is thinking of buying a jar of fish food flakes that will last 110 days. If he does not change the number of fish how ma
Sedbober [7]
4 because a year has 365 days. 3 would not be enough because 3x110=330 so the answer is 4 jars of fish food flakes!

Hope it helped

8 0
3 years ago
Assume that round widgets from a manufacturing process have diameters that are normally distributed with mean 135.75 centimeters
Cloud [144]

Answer:

b. 99 out of 100.

Step-by-step explanation:

We solve for this using z score formula

z-score formula is given as:

z = (x - μ)/σ

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

a) x = 129cm, μ = 135.75cm, σ = 1.85cm

z = (129- 135.75)/1.85

z = -3.64865

Finding the Probability value of the z score from the z table:

P(x = 129) = P(z = -3.64865)

= 0.00013181

b) x = 143 cm, μ = 135.75cm, σ = 1.85cm

z = (143- 135.75)/1.85

z = 3.91892

Finding the Probability value of the z score from the z table:

P(x = 143) = P(z = 3.91892)

= 0.99996

The chances that a randomly selected widget has diameter between 129 centimeters and 143centimeters

= P(x = 143) - P(x = 129)

= P(z = 3.91892) - P(z = -3.64865)

= 0.99996 - 0.00013181

= 0.99982819

Converting to percentage

= 0.99982819 × 100

= 99.982819%

Therefore, option b. 99 out of 100 is the correct answer

8 0
3 years ago
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