Triangles ABC and FED are congruent right triangles. Find the length of FE. 8 m 6 m

Answer:

E(X) = 6

Var(X) = 3.394

Step-by-step explanation:

Let X represent the number of carp caught out of the 20 fishes caught. Now, if we are to assume that each

of the (100, 20) ways to catch the 20 fishes will be equally likely.

Thus, we can say that X fulfills a hypergeometric

distribution with parameters as follows;

n = 20, N = 100, k = 30

Formula for expected mean value in hypergeometric distribution is;

E(X) = nk/N

E(X) = (20 × 30)/100

E(X) = 6

Formula for variance is;

Var(X) = (nk/N) × [((n - 1)(k - 1)/(N-1))) + (1 - nk/N)]

Var(X) = ((20 × 30)/100) × [((20 - 1)(30 - 1)/(100 - 1)) + (1 - (20 × 30/100)]

Var(X) = 6 × 0.5657

Var(X) = 3.394

Answer:

This simply means that, on a scale of 1 - 100, there is a 20 percent chances that, when Aaron tunes into the radio frequencies in search of a station, he will be able to get one station playing a commercial at that particular time.

For example, at 11:00am each day, him tuning into his favorite radio station would be 20 percent possible to meet one playing a commercial.

Step-by-step explanation:

Using the concept of relative frequency, the interpretation is that over a large number of days, in around 20% of the times he tunes is his favorite station a commercial will be playing.

A similar problem is given at https://brainly.com/question/16967884

Answer:

You download 32 rock songs.

Step-by-step explanation:

*im a 7th grader so dont trust me with this answer lol*

The ratio 5 : 4 can also be written as the fraction 5/4.

The ratio pop songs, 40 : rock songs, r can be written as the fraction 40/r

Set an equation:

40/r = 5/4

Cross Multiply:

5r = 160

Divide 5 from both sides:

r = 32

There you have it, the amount of rock songs downloaded! Hopefully this helps!

Answer:

yes

Step-by-step explanation:

if the denomentators are dividable, than it is a equivalent equation

Answer:

We

Given below are pictures of some common reptiles. Unscrambles

land and water.

jumbled letters and write their names:

an

P

1.

2.

Snake

TLALIGAOR

3.

KNSAE

4.

TRUTLE​

Step-by-step explanation:

Answer:

x=15

Step-by-step explanation:

3*5=15

15/5=3

Answer:

x = 15

Step-by-step explanation:

x/3 = 5

3* x/3 = 3*5

x=15

Answer:

25

Step-by-step explanation:

maybe this will help you

Answer:

C. 125 cm^3

Step-by-step explanation:

Hope this helps!! Brainliest please :)

Answer:

6.47 i THINK . or just use a search engine .

Step-by-step explanation:

i just divided 32.35 by 5

Answer:

6.47 thank me

Step-by-step explanation:

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]f(x) = 2x + 3[/tex]

And

[tex]g(x) = 2 \times {3}^{x} \\ [/tex]

_________________________________

To find the y-intercept of any equation just need to put 0 (( zero )) instead of the x in the equation...

_________________________________

In f ( x ) :

[tex]y - intercept = f(0)[/tex]

[tex]f(x) = 2x + 3[/tex]

[tex]f(0) = 2(0) + 3[/tex]

[tex]f(0) = 3[/tex]

Thus :

[tex]y - intercept = 3[/tex]

##############################

In g ( x ) :

[tex]y - intercept = g(0)[/tex]

[tex]g(x) = 2 \times {3}^{x} [/tex]

[tex]g(0) = 2 \times {3}^{0} [/tex]

[tex]g(0) = 2 \times 1[/tex]

[tex]g(0) = 2[/tex]

Thus :

[tex]y - intercept = 2[/tex]

_________________________________

The positive difference in the y-intercept value of f ( x ) and g ( x ) is :

[tex] |3 - 2| = |1| = 1[/tex]

So write this in the box : 1

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

And we're done....

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

9514 1404 393

Answer:

  4.59 g

Step-by-step explanation:

The half-life is given as 5 years, so the amount remaining after 9 years will be ...

  remaining = initial × (1/2)^(t/(half-life))

  remaining = (16 g)×(1/2)^(9/5) ≈ 4.59 g

About 4.59 g of the substance will remain after 9 years.

Answer:

24 units

Step-by-step explanation:

12 to 0

12 to 12

Answer:

30

brainliest??

Step-by-step explanation:

Answer:

60 would be a good inverse for this table, it is best for xy, 60 is the k/p in this equation.

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

The formula for inverse variation is xy=k. So i did 3*5 which is 15 and then I did 15*1 which is 15 and 30*0.5 which is 15. So know i know that 10 times something has to equal 15 so i do 15/10 to get 1.5 which is my answer

Answer:

it should be c

Step-by-step explanation:

Answer:

400 riders

Step-by-step explanation:

The Ferris wheel had 400 riders.

400*0.60=240.

Answer:

Y = 144

Step-by-step explanation:

60 times  = 14400

14400 = y times 100

Answer:

56 miles

Step-by-step explanation:

Answer:

The length of third side is: 6.3

Step-by-step explanation:

Given triangle is a right triangle where

Base = ?

Perpendicular = 5

Hypotenuse = 8

Let x be the base

As it is a right-angled triangle, Pythagoras theorem can be used to find the third side

[tex]Hypotenuse^2 = Base^2 + Perpendicular^2[/tex]

Putting the known values

[tex](8)^2 = x^2 + (5)^2\\x^2 = (8)^2-(5)^2\\x^2 = 64-25\\x^2 = 39\\[/tex]

Taking square root on both sides

[tex]\sqrt{x^2} = \sqrt{39}\\x = 6.24499[/tex]

Rounding off to the nearest 10th

Base = 6.3

Hence,

The length of third side is: 6.3

Answer:

2.5 hours

Step-by-step explanation:

Given

The information in the attachment

To solve this question, first we calculate the slope

[tex](t_1,B_1) = (1,19,5\%)[/tex]

[tex](t_2,B_2) = (2,13\%)[/tex]

The slope is:

[tex]m = \frac{B_2 - B_1}{t_2 - t_1}[/tex]

[tex]m = \frac{13\% - 19.5\%}{2-1}[/tex]

[tex]m = \frac{-0.065}{1}[/tex]

[tex]m = -0.065}[/tex]

The equation is calculated as:

[tex]B - b_3 = m(t - t_3)[/tex]

Where

[tex]m = -0.065}[/tex]

[tex](t_3,B_3) = (3,6.5\%)[/tex]

This gives

[tex]B - 6.5\% = -0.065(t - 3)[/tex]

[tex]B - 6.5\% = -0.065t +0.195[/tex]

[tex]B -0.065 = -0.065t +0.195[/tex]

[tex]B = -0.065t +0.195 +0.065[/tex]

[tex]B = -0.065t +0.26[/tex]

To calculate the time at 9.75%.

We take B = 9.75%

So, we have:

[tex]9.75\% = -0.065t +0.26[/tex]

Solve for t

[tex]0.0975= -0.065t +0.26[/tex]

Collect Like Terms

[tex]0.065t= -0.0975 +0.26[/tex]

[tex]0.065t= 01625[/tex]

[tex]t = 0.1625/0.065[/tex]

[tex]t = 2.5[/tex]

Hence, it will take 2.5 hours.

Answer: A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).

Step-by-step explanation:

Let p = True proportion of people rent their residence.

Given: n= 500

People rent their residence = 260

[tex]p=\dfrac{260}{500}=0.52[/tex]

z-value for 95% confidence level = 1.96

A 95% confidence interval for the true proportion will be :

[tex]p\pm z^*\sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]0.52\pm (1.96)\sqrt{\dfrac{0.52(1-0.52)}{500}}\\\\=0.52\pm(1.96\sqrt{\dfrac{0.2496}{500}})\\\\=0.52\pm 1.96\sqrt{0.0004992}\\\\=0.52\pm (1.96)(0.02234)\\\\=0.52\pm0.0437864\\\\=(0.52-0.0437864,\ 0.52+0.0437864)\\\\=(0.4762136,\ 0.5637864)[/tex]

A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).

Answer:

5.4545492e+17

Step-by-step explanation:

aka a really big number

Answer: 0.2

Step-by-step explanation:

Answer: 90

Step-by-step explanation:

Answer:

6 to the -4th is 7.716 x 10^-4

Step-by-step explanation:

Answer:

38.5 minutes

Step-by-step explanation:

105 divided by 15=7

7 x 5 minutes and 30 seconds is 38.5 minutes

Answer:

x = 3

Step-by-step explanation:

The formula for the axis of symmetry is x = -b/[2a].  Here, a = -3 and b = 18.

                                                            -18

Thus, the axis of symmetry is x = - ------------ = 3, or x = 3

                                                            2[-3]

Answer:

13, 7, 60, 71, 42, 29, 21, 66, 69, 22.

Step-by-step explanation:

Hope it's helpful