While at summer camp, Mike asked a random camper from each of the 12 cabins how many siblings he or she had. The results below display the responses.

3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1

If there are 48 campers altogether, use Mike’s data to infer the mean of the population. What is the mean number of siblings for the population rounded to the nearest unit?

1 sibling
2 siblings
3 siblings
4 siblings

The height of Christian and the height of the tree is a ratio likewise the length of Christian shadow and tree shadow. Therefore, the height of the tree to the nearest hundredth is 1.52 meters.

Proportion is a mathematical comparison between two numbers. it says that two ratios (or fractions) are equal. Therefore,

Christian height = 1.35 m

Tree shadow  = 38.65 meter

Christian shadow = 34.4 meters

Let's establish the proportion to find the height of the tree. Therefore,

let

x = height of the tree

1.35 / x = 34.4 / 38.65

cross multiply

38.65 × 1.35 = 34.4x

x = 52.1775 / 34.4

x = 1.5167877907

x = 1.52 meters

Therefore, The height of the tree is 1.52 meters.

learn more on proportion here: https://brainly.com/question/25336051

Answer:

The answer is 1.52.

Step-by-step explanation:

Answer:

can you show a picture of the problem

1: 26=x+10, multiplication property of equality

2: 16=x, simplify

3:

4

Answer:

1/2 mile.

Step-by-step explanation:

Going to school and back is two ways, so multiply 1/4 to get 2/4, or 1/2.

Answer:

C

Step-by-step explanation:

We want to find the horizontal distance from the observatory to the island, which is adjacent to the known angle.

Because we also know the height of the observatory and is opposite to the angle, we can consider using tangent. Recall that:

[tex]\displaystyle \tan \theta ^\circ = \frac{\text{opposite}}{\text{adjacent}}[/tex]

Let the horizontal distance be x. Substitute in known values:
[tex]\displaystyle \tan 25^\circ = \frac{150}{x}[/tex]

Solve for x:

[tex]\displaystyle x = \frac{150}{\tan 25^\circ}[/tex]

Use a calculator. Hence:

[tex]x\approx 322\text{ feet}[/tex]

In conclusion, our answer is C.

Answer:

c.322 ft

Step-by-step explanation:

took the test

Answer:

first change 1 gallon into quarts and that will be

4.8038

so 2 quarts = ? cross multiply ans the answer u will get is 9.6076

Answer:

-3

-2

-0.8

-1/10

1/2

0.8

7

Step-by-step explanation:

Answer:

Y=3

Step-by-step explanation:

Thin of it this way...if theres 1 box for every 4 book, how many boxes will be for 12 books. you would divide 12 by 4 which gives you 3

Step-by-step explanation:

It takes 150/25=6 hrs to finish reading

So when you graph, the line will start at (0,150) and go down to (6,0)

Domain tells you how far the x values go

0 < T < 6

Range tells you how low/high y values go

0 < L < 150

Answer: 0<T<6 0<L<150

Step-by-step explanation: Hope this helps you!

Answer:

36:200 = Spam to Total

144:200 = Irrelevant to Total

20:200 = Useful to Total

Step-by-step explanation:

Answer:

9x9 = 81

The Steps ↓

9 to the power of 2 means 9 times itself 1 time. This goes for any other number in other situations. The term is often referred to as squared.

  9

x 9

81

Answer: 8/8

Step-by-step explanation:

It's eight yellow slices out of a total of eight slices. So it's impossible to get anything other than yellow.

Answer:

No, they do not

explanation: "The sum of the lengths of any two sides of a triangle must be greater than the length of the third side."

Step-by-step explanation:

first term a = 4

common difference d = -1-4 = -5

60th term = a+ (60-1)d

= 4 +59×(-5)

= 4 -295

= -291 answer

Answer:

x=5

Step-by-step explanation:

7^x-3=49

x-3=2

x=5

Answer:

c.) product costing and materials inventory costing.

Step-by-step explanation:

Product costing methods are used to assign a cost to a manufactured product. The main costing methods available are process costing, job costing, direct costing, and throughput costing. Each of these methods applies to different production and decision environments.

Answer:

1/ c

4/b

5/a

Step-by-step explanation:

Answer:

  39.4 feet

Step-by-step explanation:

The tangent trig relation can be used to relate the height of the tree to the distance from the observation point. We can start with the tangent relation, then apply it to both observation points.

__

Let h represent the height of the tree. Then for some distance d to the tree, we have ...

  Tan = Opposite/Adjacent

  tan(30°) = h/d

  tan(20°) = h/(d+40)

__

Solving the first equation for d and substituting into the second equation gives ...

  d = h/tan(30°)

  tan(20°) = h/(h/tan(30°) +40) . . . . . substitute for d

  h/tan(30°) +40 = h/tan(20°) . . . . . . multiply by (h/tan(30°)+40)/tan(20°)

  h(1/tan(20°) -1/tan(30°) = 40 . . . . . subtract h/tan(30°) and factor

  h = 40tan(20°)tan(30°)/(tan(30°) -tan(20°)

  h ≈ 39.392 . . . feet

The height of the tree is about 39.4 feet.

_____

As you can see from the attachment, a graphing calculator can solve these equations easily.

Answer:

39.4 ft (nearest tenth)

Step-by-step explanation:

Create two equations using trig ratios and the information given (refer to the attached diagram).  Equate the equations and solve.

First equation

Let x = distance along the path with 30° angle of elevation

Let h = height of the tree

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

[tex]\implies \mathsf{\tan(30)=\dfrac{h}{x}}[/tex]

Rearrange to make x the subject:

[tex]\implies \mathsf{x=\dfrac{h}{\tan(30)}}[/tex]

[tex]\implies \mathsf{x=\sqrt{3} \ h}[/tex]

Second equation

Distance along the path with 20° angle of elevation = x + 40

Let h = height of the tree

Using the tangent trig ratio:

[tex]\mathsf{\tan(\theta)=\dfrac{opposite \ side}{adjacent \ side}}[/tex]

Given:

[tex]\implies \mathsf{\tan(20)=\dfrac{h}{x+40}}[/tex]

Rearrange to make x the subject:

[tex]\implies \mathsf{x=\dfrac{h}{\tan(20)}-40}[/tex]

Now equate the 2 equations and solve for h:

[tex]\implies \mathsf{\sqrt{3} \ h=\dfrac{h}{\tan(20)}-40}}[/tex]

[tex]\implies \mathsf{\dfrac{h}{\tan(20)}-\sqrt{3} \ h=40}}[/tex]

[tex]\implies \mathsf{\dfrac{h-\sqrt{3} \ h\tan(20)}{\tan(20)}=40}}[/tex]

[tex]\implies \mathsf{h-\sqrt{3} \ h\tan(20)=40{\tan(20)}}[/tex]

[tex]\implies \mathsf{h(1-\sqrt{3} \tan(20))=40{\tan(20)}}[/tex]

[tex]\implies \mathsf{h=\dfrac{40{\tan(20)}}{1-\sqrt{3} \tan(20)}}[/tex]

[tex]\implies \mathsf{h=39.39231012...}[/tex]

Therefore, the height of the tree is 39.4 ft (nearest tenth)

Answer:

3/5

Step-by-step explanation:

made all equivanlent fractions

1/4+4/3+2/3+1/4+1/2

make same denominator

3/12+16/12+8/12+3/12+6/12

add up

36/12 reduces to 3/1

divide by the nu mber of values

(5)

= 3/5

Solution:

The mean formula is:

Using the formula:

Adding/Subtracting like terms:

Simplifying 2/4:

Adding/Subtracting like terms:

Thus, the mean is 3/5.

Answer:

43 meters

Step-by-step explanation:

Perimeter is 2l+2w

l equals length

w equals width

264 = 2*89 + 2w

264 = 178 + 2w

264 - 178 = 2w

2w = 86

w = 43

Answer: Hola

Step-by-step explanation:

Hola tu papa Nunca came back from the grocery store.

The square in the circle is an inscribed square

When drawing a square in a circle, the diameter of the circle is the first thing that needs to be drawn immediately after drawing the circle.

This means that: the first error Rafael made was dividing the circle in six part and a square is constructed by first drawing a diameter

Read more about inscribed square at:

https://brainly.com/question/24579466

Answer:

In the image

Hope this helps!

Step-by-step explanation:

Answer:

Second

Step-by-step explanation:

Answer:

9.72 ft (nearest hundredth)

Step-by-step explanation:

First, calculate the horizontal distance [tex]b[/tex] by using the cosine trig ratio:

[tex]\cos(\theta)=\mathsf{\dfrac{adjacent\ side}{hypotenuse}}[/tex]

[tex]\implies \cos(18)=\dfrac{b}{10}[/tex]

[tex]\implies b=10 \cos(18)[/tex]

Given:

Use the cosine trig ratio to calculate the new hypotenuse:

[tex]\implies \cos(12)=\dfrac{10 \cos(18)}{h}[/tex]

[tex]\implies h=\dfrac{10 \cos(18)}{\cos(12)}[/tex]

⇒ h = 9.723036846...

⇒ h = 9.72 ft (nearest hundredth)

Answer:

  14.86 feet

Step-by-step explanation:

We assume the new ramp arrives at the same height as the old one. That height is found using the sine function:

  h = 10·sin(18°)

We want to find the ramp length x that will give the same height with an angle of 12°:

  h = x·sin(12°)

Substituting for h, we get ...

  10·sin(18°) = x·sin(12°)

  x = 10·sin(18°)/sin(12°) ≈ 14.863 . . . . feet

The new ramp is about 14.86 feet long.

_____

Additional comment

The sine relation is ...

  Sin = Opposite/Hypotenuse

In this use, we rearrange it to ...

  Opposite = Hypotenuse × Sin

Answer:

The answer is B: 2-  5/x + 9/2x-1

Step-by-step explanation:

I did edge

Answer:

My answer is 32 remainder 4

Step-by-step explanation:

Algebra is great fun - you get to solve puzzles!

A Puzzle

What is the missing number?

− 2 = 4

OK, the answer is 6, right? Because 6 − 2 = 4. Easy stuff.

Well, in Algebra we don't use blank boxes, we use a letter (usually an x or y, but any letter is fine). So we write:

x − 2 = 4

It is really that simple. The letter (in this case an x) just means "we don't know this yet", and is often called the unknown or the variable.

And when we solve it we write:

x = 6

Answer:

See below

Step-by-step explanation:

Radius (r) = 8 inches

Chord = 8 inches

Since, length of radii and chord are equal. Thus the Triangle so formed by radii and chord will be an equilateral triangle.

[tex]\implies [/tex] angle subtended at the centre of the circle [tex](\theta)=60\degree [/tex]

Formula for area of segment of a circle is given as:

[tex]A = \frac{ {r}^{2} \theta }{36 0 \degree} \pi - \frac{1}{2} {r}^{2} \sin \theta \\ \\ \implies \: A = \frac{ {(8)}^{2} ( \cancel{60 \degree)}}{ \cancel{360 \degree}} \pi - \frac{1}{2} {(8)}^{2} \sin 60\degree \\ \\ \implies \: A = \frac {64 }{6} \pi - \frac{1}{2} \times 64 \times \frac{ \sqrt{3} }{2} \\ \\ \implies \: \huge \purple{ \boxed{A = \bigg( \frac {32 }{3} \pi - 16 \sqrt{3}\bigg) }\: sq\:in}[/tex]