Find the missing length indicated. Hey can someone help me out?

ln(20) + ln(5) = 2 ln(x)

ln(20×5) = ln(x ²)

ln(100) = ln(x ²)

100 = x ²

x = 10

Answer:

The number of courses they were currently enrolled in is a discrete random variable.

The time it took them to drive to campus is a continuous random variable.

Their heights is a continuous random variable.

Step-by-step explanation:

Random variables:

Random variables can be classified as continuous or discrete.

Discrete variables are countable numbers(0,1,2,...), while continuous variables can assume decimal values.

First, students were asked how many courses they were currently enrolled in.

Can be 0,1,2,... that is, has to be a countable number, so the number of courses they were currently enrolled in is a discrete random variable.

Second, the commuter students were asked to estimate how long it took them to drive to campus.

Can be for example, 10.5 minutes, half an hour, that is, can be represented by decimal values, and thus the time it took them to drive to campus is a continuous random variable.

And third, they were asked their heights.

Can also be decimal numbers, so continuous.

Answer:

16 minute 30 seconds

Step-by-step explanation:

1 minute 30 seconds = 1.5 minutes

1.5 x 21 = 31.5 minutes

One person will make 10, one person makes 11.

11

11× 1.5 = 16.5

10× 1.5 = 15

16.5 is the answer

9514 1404 393

Answer:

  420 mm³

Step-by-step explanation:

The volume is given by the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height.

The triangular base area is given by the formula ...

  A = 1/2bh

  A = 1/2(10.5 mm)(10 mm) = 52.5 mm²

Then the volume of the prism is ...

  V = (52.5 mm²)(8 mm) = 420 mm³

angle QRS = 51°

The diagram for the question has been attached to this response.

From the diagram, some circle theorems can be applied.

Circle theorem:

The angle subtended by an arc of a circle at the centre is twice the angle subtended by it at any other point on the remaining part of the circle.

From the diagram, QR is the arc and therefore:

∠QSR = 2 x ∠ QTR

Since ∠QTR = 39°

=> ∠QSR = 2 x 39°

=> ∠QSR = 78°

Other theorem:

(i)The base angles of an isosceles triangle are equal.

Triangle QSR is an isosceles triangle, therefore, angles SQR and QRS are equal. i.e

∠SQR = ∠QRS

(ii) The sum of angles of a triangle is 180°. i.e

∠SQR + ∠QRS + ∠QSR = 180°

Since ∠SQR = ∠QRS and ∠QSR = 78°

=> ∠QRS + ∠QRS + 78° = 180°

=> 2(∠QRS) = 180° - 78°

=> 2(∠QRS) = 102°

Divide both sides by 2

=> ∠QRS = 51°

Therefore, angle QRS = 51°

Answer:

i don't get it

Step-by-step explanation:

Answer: An orthocenter is the intersection of three: Altitudes in a triangle.

Step-by-step explanation:

Altitude--

An altitude is a line segment that originates from a vertex and is perpendicular to the line segment opposite to that vertex.

Orthocenter--

An orthocenter of a triangle is a point where the three altitudes of a triangle meet or intersect.In  a right angled triangle the orthocenter is the vertex of the triangle where the right angle is formed.

Answer: Yoweri Museveni

Answer:

350

Step-by-step explanation:

Use PEMDAS.

[tex]300+45-9*2+22-1+2[/tex]

300+45-18+22-1+2

345-18+22-1+2

327+22-1+2

349-1+2

348+2

350

Answer:

MN = 50

Step-by-step explanation:

Given:

PQ = 49 – 8x

MN = 41 + 3x

Required:

Measure of MN

Solution:

PQ = ½(MN) => Mid-segment theorem of a triangle

Substitute

49 - 8x = ½(41 + 3x)

Multiply both sides by 2

2(49 - 8x) = 41 + 3x

98 - 16x = 41 + 3x

Collect like terms

98 - 41 = 16x + 3x

57 = 19x

57/19 = 19x/19

3 = x

x = 3

Find MN:

MN = 41 + 3x

Plug in the value of x

MN = 41 + 3(3) = 41 + 9

MN = 50

Answer:

[tex]x=12[/tex]

Step-by-step explanation:

By definition, supplementary angles add up to 180 degrees. Therefore, we can set up the follow equation to solve for [tex]x[/tex]:

[tex]10x+60=180,\\10x=120,\\x=\boxed{12}[/tex]

Answer:

x=12

Step-by-step explanation:

Supplementary angles add up to 180 degrees.

10x+60=180

Subtract 60 from both sides:

10x=120

Divide 10 to both sides:

x=12

Answer:

yes 6 lines are symmetry

Answer:

51, 104, and the next number of series is 185

Step-by-step explanation:

I hope this will help u

Answer:

the next number in the sequence should be 45

Step-by-step explanation:

|6p + 3| > 15

6p = 15 - 3

6p = 12

divide both sides by 6

6p÷6 = 12 ÷ 6

p = 2

hence, p >2 or p < - 3

Answer:

y = 6

Step-by-step explanation:

[tex]\sqrt{(10-3)^2 + (y+18)^2} = 25 \\ 49 + y^2 + 324 + 36y = 625 \\[/tex]

y^2 + 36y - 252 = 0

(y-6)(y+42) = 0

y = 6 (accettable)

y = -42 (not accettable)

Answer:

5 and 3 is vertical. 4 and 6 are vertical. 2 and 1 are supplementary angles.

9514 1404 393

Answer:

Step-by-step explanation:

The largest rectangular area with a given perimeter is a square. Each side of the square will be 1/4 of the fence, or 32 m.

The largest enclosed area is (32 m)² = 1024 m².

__

The smallest area will be that of an enclosure consisting of a double-row of fence: 64 m long and 0 m wide.

The smallest enclosed area is (64 m)(0 m) = 0 m².

_____

"Whole numbers" include zero. If you want the lengths to be Natural numbers, then the smallest area will be 63 m long and 1 m wide, or 63 m².

Answer:

1

Step-by-step explanation:

When 1 substract from any number then will get previous number.

Example:

Let any number that is 5

5-1=4

4 is the just previous number of 5

Therefore, number -1 = the previous number

Answer will be 1

Answer:

try 492.43, this should be correct if I did this right

Answer:

p = 5(8)(6.88)

p = $275.20

9514 1404 393

Answer:

  C. A horizontal stretch by a factor of 5/4

Step-by-step explanation:

Replacing x in f(x) by kx introduces a horizontal compression by a factor of k, or a stretch by a factor of 1/k. Here, we have k=4/5, so the curve is stretched horizontally by a factor of 5/4.

Answer:

The + 78 :-  it should be + 60.

Step-by-step explanation:

Long division:-

x - 3 )4x^4 - 6x^3 + 0x^2 + 6x + 3 ( 4x^3 + 6x^2 + 18x + 60 <--- Quotient.

         4x^4 - 12x^3

                      6x^3 + 0x^2

                       6x^2 - 18x^2

                                   18x^2 + 6x

                                    18x^2 - 54x

                                                 60x + 3

                                                  60x - 180

                                                              183

Answer:

x⁶

Step-by-step explanation:

[tex]\sqrt[3]{x^{18}}=x^{18/3}= x^6[/tex]

Answer:

n = -4

Step-by-step explanation:

1. the sum of 5 and some number translates to 5 + x.

2. 5 + x is getting multiplied by 4, so the equation will then become 4(5 + n).

3. This entire equation is equal to 4, which we can see where the problem says "is four". In other words, four times the sum of 5 + n is equal to 4. 4(5 + n) = 4

4. Now you can solve the equation. When solved, the answer is n = -4

Answer:

[tex]Mean=79[/tex]

[tex]\sigma=30.3951.[/tex]

Step-by-step explanation:

From the question we are told that:

[tex]Age Bracket :19-20[/tex]

[tex]5th\ percentile = 42[/tex]  

[tex]50th\ percentile = 79[/tex]  

[tex]95th\ percentile = 142.[/tex]

Generally the mean Median and mode of the 50th percentile is are all equal

[tex]Mean=Median=Mode[/tex]

Therefore

[tex]Mean=79[/tex]

Generally for Normal distribution

[tex]5th\ percentile\ = mean - 1.645*\sigma[/tex]  

[tex]95th\ percentile\ = mean + 1.645*\sigma[/tex]

Therefore

[tex](95th\ percentile\ - 5th\ percentile) = 2*(1.645*SD).[/tex]

[tex]\sigma=(95th\ percentile\ - 5th\ percentile)/3.29[/tex]

[tex]\sigma=\frac{142-42}{3.29}[/tex]

[tex]\sigma=30.3951.[/tex]

Answer:

b sum

Step-by-step explanation: