Solve for x, rounding to the nearest hundredth.
2^4x = 36

Answer: pi/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use Pythagorean theorem,

Base² + altitude² = hypotenuse²

15² +  altitude²  = 17²

225 +  altitude²  = 289

             altitude² = 289 - 225

             altitude² = 64

              altitude² = 8²

             altitude   = √8²

 altitude  = 8

P = 8 + 15 + 17 =  40 units

[tex]A= \frac{1}{2}*base * height\\\\ = \frac{1}{2}* 15 * 8\\\\= 15 * 4\\\\= 60 sq. units[/tex]

Answer:

[tex]P(x = 1) = 0.3970[/tex]

[tex]P(x = 2) = 0.1307[/tex]

[tex]P(x = 3) = 0.0191[/tex]

[tex]P(x = 4) = 0.0011[/tex]

Step-by-step explanation:

Given

[tex]n =4[/tex]

[tex]p = 0.18[/tex]

Required

(a) - (d)

x | P(x)

0 | 0.452

1 |

2 |

3 |

4 |

To solve (a) to (d), we simply apply the following binomial probability formula

[tex]P(x) = ^nC_xp^x(1-p)^{n-x}[/tex]

Solving (a):

[tex]x = 1[/tex]

So, we have:

[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]

[tex]P(x = 1) = ^4C_1 * (0.18)^1 * (1-0.18)^{4-1}[/tex]

[tex]P(x = 1) = 4 * (0.18)^1 * (1-0.18)^3[/tex]

[tex]P(x = 1) = 0.3970[/tex]

Solving (b):

[tex]x = 2[/tex]

So, we have:

[tex]P(x = 2) = ^4C_2 * (0.18)^2 * (1-0.18)^{4-2}[/tex]

[tex]P(x = 2) = 6 * (0.18)^2 * (1-0.18)^2[/tex]

[tex]P(x = 2) = 0.1307[/tex]

Solving (c):

[tex]x = 3[/tex]

So, we have:

[tex]P(x = 3) = ^4C_3 * (0.18)^3 * (1-0.18)^{4-3}[/tex]

[tex]P(x = 3) = 4 * (0.18)^3 * (1-0.18)^1[/tex]

[tex]P(x = 3) = 0.0191[/tex]

Solving (d)

[tex]x = 4[/tex]

So, we have:

[tex]P(x = 4) = ^4C_4 * (0.18)^4 * (1 - 0.18)^{4-4}[/tex]

[tex]P(x = 4) = 1 * (0.18)^4 * (1 - 0.18)^0[/tex]

[tex]P(x = 4) = 0.0011[/tex]

9514 1404 393

Answer:

  (-2, 1)

Step-by-step explanation:

Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.

  (x, y) ⇒ (-x, -y) . . . . . rotation 180°

  (2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P

The coordinates of the rotated point are (-2, 1).

9514 1404 393

Answer:

Step-by-step explanation:

A triangular prism will have exactly 2 triangular sides (bases).

A triangular pyramid will have at least 3 triangular faces.

Count the triangles and classify accordingly.

Left to right, the number of triangles is ...

  4, 2, 2, 4, 2

The figures with 4 triangles are pyramids; the others are triangular prisms.

Answer: Option A

Step-by-step explanation:

To get from A to A', what is done?

A is at the point (2,6) and A' is at the point (2,-1)

The x value of the two points stayed constant (didn't change) meaning that options C and D are invalid (because those two are transformations to the x-value)

Now let us take a look at options A and B which both concern the y value

The y-value of A is 6 and A' is -1

To get from 6 to -1, do you

a) subtract 7

or b) = multiply by -1

Let us test it out:

a) 6 - 7 = -1 (yes, it equals -1)

b) 6 * -1 = -6 (no, it does not equal the intended value of -1)

Thus correct choice is A, we subtract 7

Answer:

40

Step-by-step explanation:

So, if the angle shown, one of them is 70. the other is 110, because line is 180 degress, 180-70 = 110. C is 110. But, we need to find B. 13x + 6 must also be 70 degrees. 70-6 = 64. 64/13 = about 5. A is 100. The inner angles are 70+70+N. Angles in triangle are 180, so N is 180-70-70, which is 180-140. The B is 40 degrees.

Answer:

m∠ABC = 26°

Step-by-step explanation:

13x+6 + 8+3x + 70 = 180

16x + 84 = 180

16x = 96

x = 6

m∠B = 8+3(6) = 26°

Answer:

m=0

Step-by-step explanation:

Answer:

a + 2b

Step-by-step explanation:

Given the expression

2(a+2b) - a-2b

Open the bracket

2a+(2)2b- a-2b

2a+4b - a-2b

Collect the like terms

2a-a+4b-2b

a + 2b

Hence the equivalent expression is a + 2b

Answer:

d

Step-by-step explanation:

Answer:

good luck !!!!!!!

hope this help for you !!!!!

Answer:

The answer to this problem is 4q+30

Jawaban:

Penjelasan dengan langkah-langkah:

Sumbu y = Frekuensi = berapa banyak pekerjaan

Sumbu x = Jenis Pekerjaan = pekerjaan nomor n

(maka)

Ada

2 buah pekerjaan nomor 1 = 11

4 buah pekerjaan nomor 2 = 2222

6 buah pekerjaan nomor 3 = 333333

3 buah pekerjaan nomor 4 = 444

1 buah pekerjaan nomor 5 = 5

maka hasilnya

_____________

#Jenius - kexcvi

Nyasar soalnya brainly di indo lagi mode ujian haha

Answer:

Step-by-step explanation:

hello :

14x=12

x=12/14

x=6/7

Answer:

2/7

Step-by-step explanation:

There are 7 days in a week, and 2 days start with the letter T.

Answer:

After one year Kenny will have $520.

Step-by-step explanation:

Answer:

$520

Step-by-step explanation:

500(0.04) = kenny's annual interest rate return= 20

500+20= total dollars kenny has in a year

Answer:C

Step-by-step explenation: m=134kg,h=72m,g=10m/s

PE=mgh

PE=(134kg)(10m/s^2)(72m)

PE=964800J

Answer:

The value of x = 27

Step-by-step explanation:

Given:

48x² : 64x⁴ ::: x : 36x²

Find:

The value of x

Computation:

(a)(d) = (b)(c)

(48x²)(36x²) = (64x⁴)(x)

(1,728x⁴) = (64x⁵)

x = 27

The value of x = 27

Following are the solution to the given expression:

Given:

[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]

To Find:

x=?

Solution:  

[tex]\to 48x^2 : 64x^4 :: x : 36x^2[/tex]

[tex]\to \frac{48x^2}{ 64x^4} =\frac{ x}{ 36x^2}\\\\[/tex]

cross multiply:

[tex]\to \frac{48x^2 \times 36x^2}{ 64x^4} =x\\\\\to x= \frac{48x^2 \times 36x^2}{ 64x^4} \\\\\to x= \frac{48 \times 36}{ 64} \\\\\to x= \frac{6 \times 9}{ 2} \\\\\to x= 3 \times 9\\\\\to x=27[/tex]

Therefore, the answer is "27".

Learn more:

brainly.com/question/12149603

Answer:

John was 17 miles away from where he started.

Step-by-step explanation:

The easiest approach to this problem is to draw it out (check the attached image). Going East and turning South is the same as drawing a line towards the right, and then down on the paper.

Using the Pythagorean Theorem, we know that the sum of the square of the legs (2 smallest sides of a right triangle) is equal to the square of the hypotenuse of that triangle. In other words, [tex]a^2 + b^2 = c^2[/tex].

So to solve this, work backwards:

[tex]8^{2}+15^{2} =c^{2}\\64 + 225 = c^{2}\\289 = c^{2}\\c = \sqrt{289}\\ c = 17[/tex]

The distance between the initial and final point will be 17 miles.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

This can be expressed as

H² = P² + B²

John drove his car due east for 8 miles.

He then turned south and drove 15 miles.

Then the distance between the initial and final point will be

H² = 8² + 15²

H² = 64 + 225

H² = 289

H = 17 miles

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ2

Answer: what question?

Answer:

9/50

Step-by-step explanation:

18% = 18/100

GCF of 18 and 100 = 2

(18 ÷ 2)/(100 ÷ 2)

9/(100 ÷ 2)

9/50

no puedo ver el problema

Answer:

6 cm

Step-by-step explanation:

Answer:

C 16

Step-by-step explanation:

Using ratios

3:12

12/3=4

4:x

4*4=16

x=16

4:16

hope this helps:)

Answer:

1/3 of the pumpkin pie

Step-by-step explanation:

2 pies can equal 6 pieces, 3 pieces a pie

If their are 6 friends and 3 pieces a pie then then they will have a 1/3 of the pie each

1/3 times 6 equals  6/3, which equals 2 pies