Kalo randomly surveyed 25 students at his school and found that 19 of them have at least one sibling. Based on these data, how many of the 125 students at his
school would be expected to have at least one sibling?

Step-by-step explanation:

area of a circle

A = pi x r^2

r = 3/2in

r= diameter / 2

c = 22.3 km

Step-by-step explanation:

You can solve this problem using cosine law:

[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab \cos( \gamma ) [/tex]

where a and b are the legs of the triangle, c is the unknown length and the angle gamma is the angle opposite length c. We know that

a = 50 km

b= 52.4 km

gamma = 25°

c^2 = (50 km)^2 + (52.4 km)^2 -2(50)(52.4)cos25°

= 496.707 km^2

or

c = 22.3 km

Answer:The sum of interior angles in a triangle is 180°. To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

Step-by-step explanation:

Answer:

The answer is b 2/5 times 1/4

Step-by-step explanation:

Answer:

D. An angle measuring 470*

Step-by-step explanation:In this question

The coterminal angle for 110° is 470°.

"Coterminal angles are two (or more) angles that have their initial and terminal sides in the same positions. However, the angle measures differ either because one angle is measured clockwise and the other is measured counterclockwise".

For the given situation,

The angle is 110°.

The coterminal angles can be determined by adding or subtracting 360° to the given angle.

For 110° = [tex]360+110[/tex]

⇒ [tex]470[/tex]°

Hence we can conclude that the coterminal angle for 110° is 470°.

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Answer:

See attachment for drawing

Step-by-step explanation:

Given

[tex]Volume = 1000[/tex]

[tex]Height = 10[/tex]

Required

Drawing that proves Mateyo wrong

First, calculate the base area

[tex]Volume = Base\ Area * Height[/tex]

This gives:

[tex]1000= Base\ Area * 10[/tex]

Divide both sides by 10

[tex]100= Base\ Area[/tex]

Rewrite as:

[tex]Base\ Area = 100[/tex]

The base area is calculated as:

[tex]Base\ Area = Length * Width[/tex]

So, we have:

[tex]Length * Width = 100[/tex]

Mateyo's claim can be interpreted as:

[tex]Length = Width = 10[/tex]

However, there are other possible cases such that:

[tex]Length \ne Width[/tex]

For instance:

[tex]Length = 20[/tex]

[tex]Width = 5[/tex]

See attachment for drawing

Answer:

A: 46 meters at 3 seconds

B: 0 meters at 6.033 seconds

C. It depends where the tree is

D. 6.033 seconds

Step-by-step explanation:

A. To find max height, we need to find the vertex.

We can do this by using vertex from y=a(x-h)+k for y=a^2+b^2+c^2

h(t) = -5t^2+30t+1

h(t)+45 = - 5x^2+30x+45+1

h(t)+45= -5(x^2-6x-9)+1

h(t)+45 = -5(x-3)^2+1

h(t) = -5(x-3)^2+46

Hence, the max height is 46 at 3 seconds

B. The minimum height is 0 meters because of the problem

C. It depends because the parabola intersects x=10 in 2 places meaning that you need the tree to be in either of these two places to intercept the horseshoe

D. -5x^2+30x+1=0

     5x^2-30x-1=0

     x=  (30+-sqrt(30^2-4*5*-1))/2*5

     x=(30+-sqrt920)/10

     x=3+-2sqrt230/10

     x=3+-sqrt230/5

      This means that x =  -0.033  or 6.033. Negative value doesn't make sense so it's 6.033 seconds  

Answer:

hope this helps you look it once.

Answer:

x = 16, x = 17

Step-by-step explanation:

Given a line parallel to a side of a triangle and it intersects the other 2 sides, then it divides those sides proportionally, that is

[tex]\frac{x+8}{20}[/tex] = [tex]\frac{2x-5}{22.5}[/tex] ( cross- multiply )

20(2x - 5) = 22.5(x + 8)

40x - 100 = 22.5x + 180 ( subtract 22.5x from both sides )

17.5x - 100 = 180 ( add 100 to both sides )

17.5x = 280 ( divide both sides by 17.5 )

x = 16

----------------------------------------------------------------

[tex]\frac{2x+8}{28}[/tex] = [tex]\frac{5x-4}{82-28}[/tex] = [tex]\frac{5x-4}{54}[/tex] ( cross- multiply )

28(5x - 4) = 54(2x + 8)

140x - 112 = 108x + 432 ( subtract 108x from both sides )

32x - 112 = 432 ( add 112 to both sides )

32x = 544 ( divide both sides by 32 )

x = 17

Answer:

C

Step-by-step explanation:

hope this helps with the work don't know how I keep finding your questions

Answer:

[tex]x=\frac{7}{15}[/tex]

Step-by-step explanation:

[tex]5x-\frac{1}{5} =\frac{7}{3}[/tex]

[tex]5x - \frac{3}{15} = \frac{35}{15}[/tex]

[tex]5x - \frac{3}{15} + \frac{3}{15} = \frac{35}{15} + \frac{3}{15}[/tex]

[tex]5x=\frac{35}{15}[/tex]

[tex]\frac{5x}{5} } =\frac{\frac{35}{15}}{5}[/tex]

[tex]x=\frac{7}{15}[/tex]

Answer:

sadadacvfbrdgsdzf

Step-by-step explanation:

Answer:

No comprendo espanol. Yo se un muy poco.

Step-by-step explanation:

Answer:

6-----7{8}9-----10

Step-by-step explanation:

I can't upload a photo but the lower extreme is 6, the lower quartile is 7, the median is 8, the upper quartile is 9, and the upper extreme is 10

Hope this helped :)

Answer: do 8-10 = 2 the do 8+10= 18 then 18+2=20 so your answer is 20

Step-by-step explanation:

Answer:

Correct

not mutually exclusive events 1 to 12 and red

Correct

mutually exclusive events 1 to 12 and 25 to 36

Correct

not mutually exclusive events 1 to 18 and odd

Correct

mutually exclusive events black and red

Correct

not mutually exclusive events even and black

Step-by-step explanation:

Answer:

a) 84π b) 109.2π

Step-by-step explanation:

The formula to find this is v=πr^2h/3

r=d/2. so the radius (r) is 6 because you have to divide the diameter (12) by 2. and the height is 7. so, 6^2=36 and 36x7=252.

252/3=84

and because the question is asking for the EXACT value, you need to just put the pi symbol next to it. Final answer for a is 84π

B) you need to find 30% of 84, which is 25.2 and add it to 84, and you will get 109.2! Final answer is 109.2π.

Answer:

y=x^2 -5x+4

Step-by-step explanation:

F(x)= -x+1

G(x)-x+4

(-x+1)(-x+4) = x^2 -4x-1x+4 = x^2-5x+4

=======================================================

Explanation:

The f(x) function goes through (0,1) and (1,0). It's slope is

m = (y2-y1)/(x2-x1)

m = (0-1)/(1-0)

m = -1

The y intercept is b = 1 because this is where the blue line crosses the y axis.

We go from y = mx+b to y = -1x+1, or simply y = -x+1.

So f(x) = -x+1

Through similar steps, you should find that g(x) = -x+4

Both f(x) and g(x) have the same slope, which makes them parallel lines.

-----------------------------------

Once we know what f(x) and g(x) are, we multiply them out like so:

f(x) * g(x) = ( f(x) ) * ( g(x) )

f(x) * g(x) = ( -x+1 ) * ( -x+4 )

f(x) * g(x) = w(-x+4) ..... let w = -x+1

f(x) * g(x) = -xw + 4w ... distribute

f(x) * g(x) = -x( w ) + 4( w )

f(x) * g(x) = -x( -x+1 ) + 4( -x+1 ) ... plug in w = -x+1

f(x) * g(x) = x^2 - x - 4x + 4 ... distribute twice more

f(x) * g(x) = x^2 - 5x + 4

You could use the FOIL rule or box method as alternative routes to get this answer. I prefer the box method because the FOIL rule is only limited to multiplying binomials, while the box method allows you to multiply two polynomials of any length.

Answer:

[tex]x=6,\\m\angle 1=18^{\circ}[/tex]

Step-by-step explanation:

Since the problem denotes the figure as a parallelogram, [tex]\overline{AB}[/tex] is parallel to [tex]\overline{DC}[/tex]. Therefore, angles 1 and 2 are equal (from corresponding angles and vertical angles).

Therefore, we have the following equation:

[tex]m\angle 1=m\angle 2,\\x+12=6x-18,\\30=5x,\\x=\boxed{6}[/tex]

Substituting [tex]x=6[/tex]:

[tex]m\angle 1=x+12=6+12=\boxed{18^{\circ}}[/tex]

Answer:

The answer should be 10c - 4d

Step-by-step explanation:

3c + 7c - 9d + 5d = 10c - 4d

Step-by-step explanation:

First you add up 3c and 7c as they have the same parameter. That makes 10c. Then calculate 5d-9d which equals -4d. You can change the order of 5d-9d in a way that you would reduce the larger number from the smaller number so that you could calculate it easily like that. The final Ander 2ould be 10c-4d

Answer:

I think Its D I'm not sure though because when it comes to maths I'm not smart

Answer:

the correct answer is A x<-2

Step-by-step explanation:

2x<1/2x-3

4x<x-6

4x-x<-6

3x<-6

x<-2

Answer:

The surface area of the cuboid is 648 m^2

Step-by-step explanation:

What we have here is cuboidal in outlook

By using the formula for the surface area of a cuboid, we can get the surface area of the shape

mathematically, we have the surface area of a cuboid as follows;

2(lb + lh + bh)

where l is the length, b is the breadth (width) and h is the height

We can have the length as 9 m, the width as 9 m and the height as 13.5 m

Substituting these values, we have the surface area of the cuboid as;

A = 2(9(9) + 9(13.5) + 9(13.5))

A = 2(81 + 243)

A= 2(324)

A = 648 m^2

Answer:

x ≤ 205.05

Step-by-step explanation:

x = dollar amt remaining for other books

30 + 14.95 + x ≤ 250

44.95 + x ≤ 250

x ≤ 205.05

x ≤ $205.05 is an inequality that correctly describes this situation.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Let's use x to represent the amount of money Ms. Edwards can spend on other books.

We know that Ms. Edwards can spend at most $250 in total and that she will already spend $30 + $14.95 = $44.95 on the reference books on birds and planets.

Therefore, the amount she has left to spend on other books is:

x = $250 - $44.95

x = $205.05

Ms. Edwards can spend up to $205.05 on other books.

To write this as an inequality, we can use the less than or equal symbol since Ms. Edwards cannot spend more than $205.05:

x ≤ $205.05

Therefore, the inequality that correctly describes this situation is:

x ≤ $205.05

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Answer:

attached above is the answer

Answer:

- 28     8

- 28    -6  

Step-by-step explanation          

Answer:

269.46

Step-by-step explanation:

sin(theta) = opposite / adjacent

adjacent = opposite / sin(theta)

adjacent = 1425*sin(10.9)

adjacent = 269.4610063

Answer:

Sequence 1 is arithmetic, sequence 2 is geometric.

Step-by-step explanation:

Sequence 1 is being subtracted by 16 each time, so it is arithmetic.

Sequence 2 is being divided by 2 each time, so it is geometric.

Both, sequence 1 and 2, have terms 32 and 16.

Answer: it would be  P=4n

Answer:

[tex] \displaystyle b)y = { 3}^{ - x} + 1[/tex]

Step-by-step explanation:

we are given a exponential function

[tex] \displaystyle y = {3}^{x} + 1[/tex]

we want to figure out the equation of the new graph reflected across the y-axis

remember that,

[tex] \rm\displaystyle (x,y) \xrightarrow{ \text{ reflection over y - axis}}( - x,y)[/tex]

let y be [tex]3^x+1[/tex] so,

[tex] \rm\displaystyle (x,y) \xrightarrow{ \text{ reflection over y - axis}}( - x, {3}^{ - x} + 1 )[/tex]

hence,

the equation of the new graph

[tex] \displaystyle y = { 3}^{ - x} + 1[/tex]