Which ordered pairs are solutions to the linear inequality below:

maria [59]

1- Line:
A line is a one dimensional figure that is formed by joining an infinite set of points.
It has no start and no end.
Answer:
Line ..............> A) infinite number of points extending in opposite directions that has only one dimension

2- Line segment:
It is the same as the line. The only difference is that a line segment has a fixed start point and a fixed end point. It is considered to be a portion of a line
Answer:
Line segment .........> D) a part of a line that has two endpoints

3- Ray:
A ray is also a one dimensional shape. A ray usually has a start point but no end point.
Answer:
Ray .........> B) part of a line that has one endpoint and continues in one direction infinitely

4- Point:
A point is a dimensionless geometric shape. It is only used to state a certain location.
Answer:
Point .........> C) a location, has no dimension

5- Vertex:
A vertex is a term that is used to refer to the point where the two rays forming an angle meet.
Answer:
Vertex ........> E) the common endpoint of two segments or rays that form the corner of an angle

Hope this helps :)

4 0

3 years ago

What is the approximate length of AB?

liq [111]

Answer:

2

Step-by-step explanation:

1. go to desmos Graphing calculator and select graphing calculator

2. Next type in the word length then it should look like this Length

3. Don't space just put this ( and type in the point it should look like this Length(-2,-3),(4,4)

4. Be sure to do double () it should look like this Length((-2,-3),(4,4))

5. It should give you your answer

6 0

2 years ago

Find the values of x and y. The diagram is not to scale.

Aleksandr [31]

Step 1

Find the value of x

we know that

$(x-1)\°=74\°$ -------> by corresponding angles, because the given lines are parallel

Solve for x

$(x-1)\°=74\°\\x=74+1 \\ x=75\°$

Step 2

Find the value of y

we know that

$(x-1)+40+(y-2)=180$

substitute the value of x and solve for y

$(75-1)+40+(y-2)=180$

$74+40-2+y=180$

$112+y=180$

$y=180-112$

$y=68\°$

therefore

the answer is the option B

$x=75\°, y=68\°$

8 0

4 years ago

Read 2 more answers

Suppose a research firm conducted a survey to determine the mean amount steady smokers spend on cigarettes during a week. A samp

shutvik [7]

Answer:

0.9910 = 99.10% probability that a sample of 170 steady smokers spend between $19 and $21

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 20, standard deviation of 5:

This means that $\mu = 20, \sigma = 5$

Sample of 170:

This means that $n = 170, s = \frac{5}{\sqrt{170}}$

What is the probability that a sample of 170 steady smokers spend between $19 and $21?

This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.

X = 21

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{21 - 20}{\frac{5}{\sqrt{170}}}$

$Z = 2.61$

$Z = 2.61$ has a p-value of 0.9955

X = 19

$Z = \frac{X - \mu}{s}$

$Z = \frac{19 - 20}{\frac{5}{\sqrt{170}}}$

$Z = -2.61$

$Z = -2.61$ has a p-value of 0.0045

0.9955 - 0.0045 = 0.9910

0.9910 = 99.10% probability that a sample of 170 steady smokers spend between $19 and $21

3 0

3 years ago

Which of the following equations are equivalent to -2m - 5m - 8 = 3 + (-7) + m?

grandymaker [24]

-2m - 5m = -7m
-7m - 8 = 3 -7 + m
3 - 7 = -4
-7m - 8 = m - 4
-7m - 8 + 8 = m - 4 + 8
-7m = m + 4
-7m - m = m + 4 - m
-8m = 4
-8m/-8 = 4/ -8
FINAL = m= -1/2 = -0.5

4 0

4 years ago