Refer to the figure below to complete the following item,

ohaa [14]

You can name planes by one letter or using three points belonging to it that are <u>not</u> on the same line.

Another name for plane X could be:

Plane ABF, Plane BCF or Plane ACF. You may also get different names by reordering the three letters.

Coplanar means 'on the same plane'.

The points on the same plane as point A are:

B, C and F.

Collinear means 'on the same line'.

Other points on the same line as point C are:

A or B.

The line that intersects ED is:

AC, it can be also named AB or BC.

5 0

1 year ago

Tony was Challenged to a half-court shooting competition. For every half-court shot that he makes, he will earn 20 points. For e

Mkey [24]

Answer:

Tony make 4 half-court shots and misses 16 half-court shots.

Step-by-step explanation:

Given:

Points earned for every successful, half-court shots = $20$

Points deducted for missing the shots = $5$ or $-5$

Total number of shots in the game = $20$

Final points earned by Tony = $0$

According to the question:

Let the number of successful half-court shot be $x$

And the number of shots missed be $20-x$

So,

In terms of points we can re-write it as:

⇒ $20(x)-5(20-x) =0$

⇒ $20x-100+5x=0$

⇒ $25x-100=0$

⇒ $25x-100+100=100$

⇒ $25x=100$

⇒ $\frac{25x}{25} =\frac{100}{25}$

⇒ $x=\frac{100}{25}$

⇒ $x=4$

Tony make 'x' shots that is 4 and the number of shot he missed is (20-x) =(20-4)=16

6 0

3 years ago

Mrs. Bailey gives a test, and her students’ scores range from 30 to 70. She decides to curve the scores, so that they range from

Harman [31]

Answer:

f(x) = x*3/4 + 42.5

Step-by-step explanation:

The original difference between the pair is 70 - 30 = 40

The new difference between the pair is 95 - 65 = 30

Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4

Then 30 * 3/4 = 22.5

Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95

Therefore, f(x) = x*3/4 + 42.5. We can test that

f(30) = 30*3/4 + 42.5 = 65

f(70) = 70*3/4 + 42.5 = 95

8 0

3 years ago

State the inverse of the ordered pair:(−8,3).

nevsk [136]

Answer:

i d k

Step-by-step explanation:

4 0

3 years ago

Recall that a 6-bit string is a bit strings of length 6, and a bit string of weight 3, say, is one with exactly three 1's. How m

strojnjashka [21]

Answer:

1.. Total number of 6 bit strings is 64

2. Number of 6-bit strings with weight of 0 is 1

3. Number of 6-bit strings with weight of 1 is 6

4. Number of 6-bit strings with weight of 3 is 20

5. Number of 6-bit strings with weight of 5 is 6

6. Number of 6-bit strings with weight of 6 is 1

7. Number of 6-bit strings with weight of 7 is 0

Step-by-step explanation:

A bit string is a string that contains 0 and 1 only

1. Total number of 6 bit strings is 2^6 = 64

2. Number of 6 bit strings with weight 0 is 1

Explanation

Weight 0 means a string with no occurrence of 1

Here, we are only interested in occurrence and not order of occurrence

We apply combination formula for this

nCr = n!/(n-r)!r!

n = 6 and r = 0 i.e. no occurrence of 1

6C0 = 6!/(6-0)!0!

6C0 = 6!/6!0!

6C0 = 1

Hence, the number of string with weight 0 (i.e. no occurrence of 1 ) is 1

3. Number of string with weight 1 is 6

Explanation

Weight 0 means a string with exactly 1 occurrence of '1'

Here, we are only interested in occurrence and not order of occurrence

We apply combination formula for this

nCr = n!/(n-r)!r!

n = 6 and r = 1

6C1 = 6!/(6-1)!1!

6C1 = 6!/5!1!

6C1 = 6

Hence, the number of string with weight 6

4. Number of string with weight 3 is 20

Explanation

n = 6 and r = 3

6C3 = 6!/(6-3)!3!

6C3 = 6!/3!3!

6C3 = 20

Hence, the number of string with weight 3 is 20

5. Number of string with weight 5 is 6

Explanation

n = 6 and r = 5

6C5 = 6!/(6-5)!5!

6C5 = 6!/1!5!

6C5 = 6

Hence, the number of string with weight 5 is 6

6. Number of string with weight 6 is 1

Explanation

n = 6 and r = 6

6C6 = 6!/(6-6)!6!

6C6 = 6!/0!6!

6C6 = 1

Hence, the number of string with weight 6 is 1

7. Number of string with weight 7 is 0

Weight of 7 means that a string that has 7 occurrence of 1

The total length of a 6 bit is 6

Since 6 is less than 7, there's no way a bit of weight 7 can occur.

So, the right answer for this is 0.

8 0

3 years ago