Triangles FEG and FDH are similar. If segment DH is 28 units, what is the
measure of segment EG?

Answer:

Step-by-step explanation:

Use Pythagorean to verify:

As we see the equation is not true, so the answer is no

Let's use Pythagorean theorem to verify

[tex]\\ \sf\longmapsto H^2=P^2+B^2[/tex]

[tex]\\ \sf\longmapsto 5^2=4^2+2^2[/tex]

[tex]\\ \sf\longmapsto 25=16+4[/tex]

[tex]\\ \sf\longmapsto 25\neq 20[/tex]

Not a right triangle

Using the lognormal and the binomial distributions, it is found that:

In a lognormal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{\ln{X} - \mu}{\sigma}[/tex]

In this problem:

Question 1:

The 90th percentile is X when Z has a p-value of 0.9, hence X when Z = 1.28.

[tex]Z = \frac{\ln{X} - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{\ln{X} - 3.5}{\sqrt{1.22}}[/tex]

[tex]\ln{X} - 3.5 = 1.28\sqrt{1.22}[/tex]

[tex]\ln{X} = 1.28\sqrt{1.22} + 3.5[/tex]

[tex]e^{\ln{X}} = e^{1.28\sqrt{1.22} + 3.5}[/tex]

[tex]X = 136[/tex]

The 90th percentile of this distribution is of 136 dB.

Question 2:

The probability is the p-value of Z when X = 150, hence:

[tex]Z = \frac{\ln{X} - \mu}{\sigma}[/tex]

[tex]Z = \frac{\ln{150} - 3.5}{\sqrt{1.22}}[/tex]

[tex]Z = 1.37[/tex]

[tex]Z = 1.37[/tex] has a p-value of 0.9147.

There is a 0.9147 = 91.47% probability that received power for one of these radio signals is  less than 150 decibels.

Question 3:

10 signals, hence, the binomial distribution is used.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

For this problem, we have that [tex]p = 0.9147, n = 10[/tex], and we want to find P(X = 6), then:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 6) = C_{10,6}.(0.9147)^{6}.(0.0853)^{4} = 0.0065[/tex]

There is a 0.0065 = 0.65% probability that for  6 of these signals, the received power is less than 150 decibels.

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Answer:

50 degrees

Step-by-step explanation:

that line is a 180 degree and 180-130=50

Answer:

Step-by-step explanation:

IF 17 is in base 10

THEN

17₁₀ = 1 x 10¹ + 7 x 10⁰

10001₂ = 1 x 2⁴ + 0 x 2³ + 0 x 2² + 0 x 2¹ + 1 x 2⁰

32₅ = 3 x 5¹ + 2 x 5⁰

Answer:

81 people

Step-by-step explanation:

Answer:

2x + 4 = 4x - 88

x = 46

Answer:

x = 46

Step-by-step explanation:

These angles are known as corresponding angles. This means they are equal to one another.

[tex]4x-88=2x+4\\2x-88=4\\2x=92\\x=46[/tex]

Answer:

11.1

Step-by-step explanation:

The percentage error for the given data will be 12.5%

According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.

The percentage error will be calculated as:-

percent error = (|experimental value - theoretical value| / theoretical value) x 100

In this case, the experimental value is 3600 years (from carbon-14 dating) and the theoretical value is 3200 years (from the researcher's estimate). Plugging these values into the formula:

percent error = (|3600- 3200| / 3200) x 100 = (400/ 3200) x 100 = 12.5%

Learn more about percentage error on:

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[tex]3\dfrac 23 -1 \dfrac 45 = 3 \dfrac{10}{15} - 1 \dfrac{12}{15}[/tex]

Answer:

51.525cm

Step-by-step explanation:

Step-by-step explanation:

6 players.

every player plays 2 games against every other player.

so, for each player there are 5 "other players" and everybody plays therefore 10 games.

the maximum number of points to get is 10×2 = 20 points.

the question is now not what is the minimum number of points a champion can have.

the question is rather what is the minimum number of points to guarantee the win of the championship no matter how the others played.

so, the study case scenario for the winner is to have only one real competitor for the title.

both players win every game against the other 4 players.

that is already 2×4×2 = 16 points.

and now it all depends on the 2 games against each other. to be sure, the winner needs at least 1 win and 1 tie in these 2 games. that are 3 more points.

so, to be absolutely sure, the champion needs to have at least 16+3 = 19 points.

The minimum possible number of points that a player needs to earn in order to guarantee that he/she will be champion 16+3 = 19 points.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Every player plays 2 games against every other player.

Then there will be 5 players left who will 10 games

So, the maximum number of points = 10*2 = 20

winning player earns 2 points

as, both players win every game against 4 players.

which gives = 2×4×2 = 16 points.

Now, in remaining two game the  winner needs at least 1 win and 1 tie

which needs 3 more points.

Hence, the minimum possible number of points that a player needs to earn in order to guarantee that he/she will be champion 16+3 = 19 points.

Learn more about unitary method here:

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Answer:

General accounting essentially refers to general ledger collection and accounting activities that include account charges in credits and debits and documenting financial statements for a quarter, calendar or fiscal year.

Answer:

Step-by-step explanation:

x² + (x + 17)² = 25²

x² + x² + 34x + 289 = 625

2x² + 34x - 336 = 0

x² + 17x - 168 = 0

x = (-17 ±√(17² - 4(1)(-168))) / (2(1))

x = 7 or - 24   the negative distance makes no sense, but if we plug our good answer of 7 ft in for the base length, the height comes out to be + 24 ft

base = 7 ft

height = 24 ft

Answer:

51

Step-by-step explanation:

81.6/1.6

Hope this helps. :)

Answer:

3

Step-by-step explanation:

I think the answer is 3 because there are 3 spaces between each dot but I am also not the smartest person so if that's right sorry!

Answer:

LJ< JK<LK

Step-by-step explanation:

for a theorem, the order of the side of the triangle is the same as the order of the opposite angles since for the angles it's K<L<J, you replace each with the opposite side (quick trick, it's the one not containing the letter!)

Answer:

the correct answer is b

Step-by-step explanation:

Like and give 5 star rating

Yep, it's C. The answer is C

Answer

B, the second choice

Step-by-step explanation:

the domain is defined as all possible x values of a function and the range is defined as all possible y values, so the domain would be all real numbers since x can be any value, and the range cannot be more than 3, since y=3 is the vertex of the parabola.

Answer:

2

Step-by-step explanation:

either the four friends give you the money first then you give it to the three friends That is one Or youcan ask your parental figure to own you three dallors then you will have more money at the End.

Answer:

Step-by-step explanation:

What is 8/m - 11/3m=?

8/m - 113m =

(3 - 11/3)m + 8 =

8/3m + 8

Answer:

13/3m

Step-by-step explanation:

Answer:

what? elaborate please and thank you

Answer:

A

Step-by-step explanation:

Answer:

$1000

Step-by-step explanation:

Inverse operation

2100-100=2000

2000/2=1000

Sorry if its wrong but hope this helpssss

Answer:

True.

Step-by-step explanation:

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. this makes it possible for the triangle to be formed.

Answer:

30

Step-by-step explanation:

The red square means it equals 90 degrees

90 - 60 = 30

I hope this helps

Hundred and tenths are the relationship of 9 in the number

Answer:

The 9 in the hundreds column is ten times greater than the 9 in the tens column.

Step-by-step explanation:

Answer:

Area = 23.12 cm²

perimeter = 24.28 cm

Step-by-step explanation:

top shaded region is circular arc with 90° sector angle

so perimeter of arc is 90 / 360 * 2πr

here radius of arc is half the length of square side

r = 6.8/2 = 3.4

top area shaded perimeter = 90/360 * 2 * 3.14 * 3.4

= 1/4 * 2 * 3.14 * 3.4

= 5.338

bottom region perimeter is also same

total perimeter of shaded region is = side + side + two arcs

= 6.8 + 6.8 + 2 * 5.338

= 13.6 + 10.676

= 24.276

= 24.28

Area of top shaded region is 90/360 * πr²

A = 1/4 * 3.14 * 3.4²

= 9.0746

bottom shaded region area is half of area of square - area of bottom arc

= 6.8 * 3.4  - 9.0746

= 23.12 - 9.0746

= 14.0454

so total area of shaded region is 9.0746 + 14.0454

= 23.12

or you can just calculate area as half of area of total square = 6.8² / 2

= 23.12