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3 years ago

Point G lies between points F and H on . If the length of FH is 18 units, what is the value of x? 3 4 5 6

Mathematics

2 answers:

jek_recluse [69]3 years ago

8 0

Point G lies between points F and H on .

If the length of FH is 18 units, what is the value of x?

the answer is 3 .

STatiana [176]3 years ago

6 0

see the attached figure to better understand the problem

we know that

$FH=FG+GH$

$FH=18$ -------> equation $1$

$FH=4x+2x$

$FH=6x$ -------> equation $2$

equate equation $1$ and equation $2$

$18=6x$

$x=3$

therefore

<u>the answer is</u>

$x=3$

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A valid license plate in Xanadu consists of two capital letters followed by three digits. How many valid license plates are poss

tatiyna

The valid license plates are possible = 676,000 possibilities

<h3>What is permutation and combination?</h3>

In mathematics, there are two alternative methods for dividing up a collection of components into subsets: combination and permutation. The subset's components can be arranged in any sequence when used together. The subset's components are given in a permutation in a certain order.

<h3>According to the given information:</h3>

There is no prohibition on using the same letters or numbers more than once, therefore all 26 letters of the alphabet and all 10 numerals are permissible choices.

There are 26 options if the initial answer is A:

AA, AB, AC,AD,AE ...................................... AW, AX, AY, AZ.

There are 26 options if the initial answer is B:

BA, BB, BC, BD, BE .........................................BW, BX,BY,BZ

So,

The first letter can be one of 26 options, and the second letter can be one of 26 options. There are a variety of 2 letter combinations, including:

26 x 26 = 676

For the three digits, the same holds true.

The first, second, and third options each have ten options available:

10 × 10 × 10 = 1000

Thus, there are several options for a license plate with two letters and three digits:

26 x 26 x 10 × 10 × 10 = 676,000 possibilities.

The valid license plates are possible = 676,000 possibilities.

To know more about permutation and combination visit:

brainly.com/question/13387529

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8 0

1 year ago

The formula for the standard deviation of a sample is:

timofeeve [1]

Answer:

d. The variance is 9.56 and the standard deviation is 3.09.

Step-by-step explanation:

From the above question, we are given the following data set.

3, 7, 8, 8, 8, 9, 10, 10, 13, 14

a) Mean = 3 + 7 + 8 + 8 + 8 + 9 + 10 + 10 + 13 + 14/ 10

= 90/10

= 9

b) Variance

The formula for sample Variance = (Mean - x)²/ n - 1

Mean = 9

n = 10

Sample Variance =

(3 - 9)² + (7 - 9)² + (8 - 9)² + (8 - 9)² + (8 - 9)² + (9 - 9)² + (10 - 9)² + (10 - 9)² + (13 - 9)² + (14 - 9)² / 10 - 1

= 36 + 4 + 1 + 1 + 1 + 0 + 1 + 1 + 16 + 25/9

= 86/9

= 9.555555556

≈ Approximately 9.56

Variance = 9.56

Sample Standard deviation = √Sample Variance

= √9.56

= 3.0919249667

≈ Approximately 3.09

5 0

3 years ago

The minute hand of a clock is 3 inches long. How far does the tip of the minute hand move in 5 minutes

Maurinko [17]

5 minutes later the hand moves five minutes later

4 0

3 years ago

Jessica and Mike are making presentations for a class project. Jessica's slideshow starts with a verbal introduction that is 16

uysha [10]

Answer:

they both has 7 slides and the presentation had a duration of 28 seconds

Step-by-step explanation:

we have to setup equation that makes them equal to each other if you know what i mean. 2x+16=3x+10

then we just solve for x

2x+16=3x+10

subtract 10 from each side

2x+6=3x

step 2 subtract 2x from each side

x=6

so both of their presentations are 7 slides long

then to find the length of their presentations we just plug in 6 to one of the equations

2(6)+16

2x6=12 12+16=28 so both of their presentations were 28 seconds

6 0

2 years ago

What is the answer to this in cm

jasenka [17]

The hardest part is finding the length of the curve at the top. To find arc length, multiply the circumference by the arc angle divided by full angle (360°) in a circle. Or:
$s = (2\pi r)( \frac{x}{360})$
x, the arc angle in a semicircle, is 180°.
r, the radius is 7/2 = 3.5.
Now just plug the numbers in and solve for arc length, s.

s = 2π(3.5)(1/2) ≈ 11.00

Now just add up all the sides. 11cm + 10cm + 10cm + 7cm = 38 cm.

5 0

3 years ago