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2 years ago

Which statement is true about the line passing through points A and B?

Mathematics

2 answers:

Xelga [282]2 years ago

7 0

1.second choice
2.PY PT

Alex73 [517]2 years ago

5 0

Solution:

1. When we talk about a line , it means it has infinite length and there are infinite number of points on it.

And there is not a single way to name a line, there are infinite number of ways to name a line by placing any two points on the line .We don't need to put bar(-) while naming a line by considering two points on the line.

So, Option B: The line has infinitely many points. is true option.

2. PM -= A line segment

So, it has definite length and we need to put bar (-) over it.It can be written either as PM or MP having bar over it.

Option B: MP−→− is true option.

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A simple random sample of size nequals81 is obtained from a population with mu equals 83 and sigma equals 27. (a) Describe the

Ivanshal [37]

Answer:

a) $\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

b) $z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

c) $z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

d) $z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

Step-by-step explanation:

For this case we know the following propoertis for the random variable X

$\mu = 83, \sigma = 27$

We select a sample size of n = 81

Part a

Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

$\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

Part b

We want this probability:

$P(\bar X>89)$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 89 we got:

$z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

Part c

$P(\bar X$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 75.65 we got:

$z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

Part d

We want this probability:

$P(79.4 < \bar X < 89.3)$

We find the z scores:

$z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

8 0

3 years ago

Round 345276 to the nearest thousand

TiliK225 [7]

Since there is no decimal point, the answer is 345276.

8 0

2 years ago

Read 2 more answers

Cesar is creating a schedule to practice his instrument for band. He needs to practice for a total of 10 hours in a week. On Mon

ratelena [41]

Answer: See explanation

Step-by-step explanation:

Your question isn't really clear. Let me help you rephrase it and solve.

Let's say Cesar is creating a schedule to practice his instrument for band. He needs to practice for a total of 10 hours in a week. On Monday he practice for 1 1/2 hours, on Tuesday he practiced for 2 1/4 hours, and on Wednesday he practiced for 1 1/2 hours.

The total hours that Cesar has used in practicing will be:

= 1 1/2 + 2 1/4 + 1 1/2

= 5 1/4

To get the number of hours that Cesar need to practice during the rest of the week in order to have his 10 total hours, we subtract 5 1/4 hours from 10 hours. This will be:

= 10 - 5 1/4

= 4 3/4 hours.

Cesar needs to practice for 4 3/4 hours more.

5 0

2 years ago

Jack says that because kites do not have parallel sides, a square is not a kite. Explain his error in thinking.

PtichkaEL [24]

Answer:

Square is a kind of kite.

Step-by-step explanation:

Consider the provided information.

Kite is a flat shape with two pairs of sides and each pair is made of two adjacent sides that are equal in length.

Square has four equal sides and four equal angles of 90°

Square is a kind of kite because it has two pairs of equal adjacent side.

Hence, square is a kind of kite.

5 0

2 years ago

Brian and Katie have $40 to spend at the store. If they get 4 bags of pasta which cost $1 each, 2 cans of tomatoes which cost $2

Crank

4 bags * 1 =$4
2 cans *2 = $4
milk = $3
3 bread *3 =$9
=============
Auswer 40-21=19

5 0

3 years ago