Directions: Find each square root. Round to the nearest tenth if necessary. help?

What are the solutions of 3t + 2 < 7 or -4t + 5 < 1? Graph the solutions and put each solution in interval notation.

Ghella [55]

Answer:

$\displaystyle (-∞, 2\frac{1}{3}) ∪ (1, ∞) \\ \\ 2\frac{1}{3} > t \:OR\: 1 < t$

Step-by-step explanation:

3t + 2 < 7 OR −4t + 5 < 1

- 2 - 2 - 5 - 5

___________________

$\displaystyle \frac{3t}{3} < \frac{7}{3} \:OR\: \frac{-4t}{-4} < \frac{-4}{-4} \\ \\ t < 2\frac{1}{3} \:OR\: t >1$

**Whenever you divide\multiply by a negative integer, you reverse the inequality symbol given to you initially.

Extended Information on Inequalities

≤, ≥ [dark circle with a dark line (brackets when writing in Interval Notation)]

<, > [light circle with a dashed line (parentheses when writing in Interval Notation)]

I am delighted to assist you at any time.

As you can see in the above graph, the graph is connected ALTOGETHER. Be aware that this will not ALWAYS be the case because a majourity of these graphs are seperated, pointing in OPPOSITE directions.

5 0

3 years ago

1. At a computer manufacturing company, the actual size of a computer chip is normally distributed with a mean of 1 cm and a sta

liraira [26]

Answer:

The 4 answers are given below:

0.1cm, 0.1 probability, 0.25 probability, 1.095cm

Step-by-step explanation:

QUESTION HEAD: At a computer manufacturing company, the actual size of a computer chip is normally distributed with a mean of 1cm and standard deviation of 0.1cm. A random sample of 12 computer chips is taken.

(A) What is the standard error for the sample mean?

(B) What is the probability that the sample mean will be between 0.99 and 1.01cm?

(C) What is the probability that the sample mean will be below 0.95cm?

(D) Above what value do 2.5% of the sample means fall?

ANSWERS:

(A) The standard error for the sample mean is 0.1cm

(B) [0.99, 1.01]cm?

The mean length is 1cm and S.E. is 0.1cm, hence all lengths fall into the following range: [0.9 - 1.1]

0.99 - 0.9 = 0.09

1.1 - 1.01 = 0.09

0.09 + 0.09 = 0.18

1.1 - 0.9 = 0.2

0.2 - 0.18 = 0.02 This is the fraction of 0.2 that the length bracket in the question occupies. So 0.02/0.2 = 0.1

Hence the probability that the sample mean will be between 0.99 and 1.01cm is 0.1 (which translates to a 10% probability/chance)

(C) The probability that the sample mean will be below 0.95 is:

0.95 - 0.9 = 0.05

0.05/0.2 = 0.25 (which translates to a 25% chance of occurrence)

(D) Above what value do 2.5% of the sample means fall?

Here, you're looking for the value of the mean which serves as the lower limit for the top 2.5% of sample mean values.

2.5% of 0.2 = 0.025 × 0.2 = 0.005

Subtract this from the highest possible mean value:

1.1 - 0.005 = 1.095

So, above 1.095 is where 2.5% of the sample means fall

3 0

3 years ago

Help me please I done understand

denpristay [2]

Answer:

I would just say that Manuel seems to be moving at a pretty fast or decent pace at first, and he then at some point, doesn't move at all because the straight line shown in the middle of the graph shows us that there isn't any movement from him. (at least with what the information on the graph is giving us) At the very end of the graph, I can see that he eventually reached his destination, and at a very fast rate! (because the graph seems to obviously end at a point)

Step-by-step explanation:

I'm a Freshman in High School, and I haven't learned about graphs as simple as this one in a hot-minute! [a year or two maybe] Sooo...I hope I helped a little bit though.

But even if I am completely wrong, just know that whenever a straight vertical line like that is on a graph, it means that there was either NO motion detected or that there wasn't any data at that moment to be graphed. {BUT} In this case, Manual wasn't moving at all for that time being, because the graph has a STRAIGHT VERTICAL LINE in the middle of it.

I would also write down in my answer, that it looks like he was riding a bike, or was driving, or was maybe running, because it looks like either his destination was very close to where he originally started, OR he just got to his destination quickly via transportation.

8 0

3 years ago

Find

Aneli [31]

Answer:

8/5

Step-by-step explanation:

4 0

3 years ago

Write seven hundred twenty-one in standard form

Zanzabum

Answer:

721

Step-by-step explanation:

dog you in elementary school

6 0

3 years ago

Directions: Find each square root. Round to the nearest tenth if necessary. help?​

Directions: Find each square root. Round to the nearest tenth if necessary. help?