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Ostrovityanka [42]
2 years ago
15

true or false, If points F and G are contained in a plane, then FG is entirely contained in that plane

Mathematics
2 answers:
mestny [16]2 years ago
8 0
Its true because i dont no i just no that is true.
kolbaska11 [484]2 years ago
7 0
A plane is a flat 2D surface, one example is shown below

If you join any two points on the plane, then the line would also be within the plane.

Answer: TRUE

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Sick-leave time used by employees of a firm in a course of one month has approximately normal distribution, with a mean of 200 h
Usimov [2.4K]

Answer:

a)0.62% probability that total sick leave for next month will be less than 150 hours.

b) 225.6 hours should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 200, \sigma = \sqrt{400} = 20

a.Find the probability that total sick leave for next month will be less than 150 hours.

This probability is the pvalue of Z when X = 150. So:

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

Z = \frac{150 - 200}{20}

Z = -2.5

Z = -2.5 has a pvalue of 0.0062.

So there is a 0.62% probability that total sick leave for next month will be less than 150 hours.

b.In planning schedules for next month, how much time should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

This is the value of X when Z has a pvalue of 0.90. So Z = 1.28

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

1.28 = \frac{X - 200}{20}

X - 200 = 20*1.28

X = 225.6

225.6 hours should be budgeted for sick leave if that amount is to be exceeded with a probability of only 0.10.

6 0
3 years ago
Chance flips a coin and rolls a 1 - 6 number cube. What is the probability that he rolls a number less than 4 and the coin lands
inna [77]
3/6 and 1/2 hoped that helped

4 0
3 years ago
The value of Rita’s house increased by 5%.
Svetach [21]

Answer:

200,000

Step-by-step explanation:

6 0
2 years ago
5. Identify the type and subtype of each of the fol-
r-ruslan [8.4K]

Answer:

a) Kylie has 8 marbles

b) 7 Cylinders

c) 17 carrots

d) 8 marbles belong to Shauntay

Step-by-step explanation:

5. Identify the type and subtype of each of the fol-

lowing problems.

a. Shawn has 15 marbles, which is 7 more marbles than Kyle has. How many marbles does Kyle have?

Shawn = 15 marbles

S = K + 7

15 = K + 7

K = 15 - 7

K = 8 marbles

Kylie has 8 marbles

b. Tiffany has 12 blocks, 5 of which are cubes and the rest cylinders. How many blocks are cylinders?

T = 12 blocks

Cubes = 5

Cylinders = the rest

12 blocks = Cubes + Cylinders

Cylinders = 12 - Cubes

Cylinders = 12 - 5

Cylinder = 7

c. Peter had some carrots. After he ate 3 of them, he had 14 carrots left. How many carrots did Peter have before?

Number of carrots Peter has before

= Number of carrots he ate + Number of carrots he has now

= 14 + 3

= 17 carrots

d. In a bag of 17 marbles, 9 marbles belong to Kelly and the rest belong to Shauntay. How many marbles belong to Shauntay?

Total number of Marbles = 17

Kelly = 9 marbles

Shauntay = ?

Total = Kelly + Shauntay

Shauntay = Total - Kelly's marbles

= ( 17 - 9) marbles

= 8 marbles

8 marbles belong to Shauntay

6 0
2 years ago
Read 2 more answers
Pls help if you only know the correct answer! Thanks! :)
LiRa [457]

Answer:

A. -3/5 B. 1/5. C. 0.8.

Step-by-step explanation:

Since A is on the left side of 0, it will be negative, in which -3/5 is the only negative answer on there, so A= -3/5. Since B is on the right side of the 0 it's positive, and it is equal to 1/5 which gets you to 0.20, which will be the value of each line since 1 divided by 5 is equal to 0.20. 0.8 is also known as 0.80 so C will be next to the 1.

3 0
2 years ago
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