A counselor surveys a random sample of 60 out of 900 high school students. 75% of them said they were going to collage. She used these results to determine that 675 students in the overall school would be planning to go to collage. Do you agree with her prediction

Answer:

Here you go:)

Step-by-step explanation:

7.38

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

Explanation:

The perimeter around the circle is known as the circumference

The full circumference of a circle with radius r is

C = 2*pi*r

In this case, r = 16 is the radius, so,

C = 2*pi*r

C = 2*pi*16

C = 2*16*pi

C = 32pi

is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get

(1/4)*32pi = (1/4*32)pi = 8pi

The arc length is exactly 8pi feet long

Approximately this is about 25.13274 feet

The length of the arc is exactly 8π feet long.

To find the length of the arc.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”.The perimeter around the circle is known as the circumference.

Given that:

Ф=90°

r=16 feet

The perimeter around the circle is known as the circumference.

The circumference of a circle with radius r is

C = 2*π*r

C = 2*π*16

C = 2*16*π

C = 32π

But we only want 90°/360° = 1/4 of that total distance. So multiply 1/4 to 32π to get.

=(1/4)*32π

= (1/4*32)π

= 8π

Therefore, the length of the arc is exactly 8π feet long.

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Answer:

The total change of altitude should be, -38ft.

Step-by-step explanation:

Answer:

x^2+3x-4

Step-by-step explanation:

x * x - x + 4x - 4

x^2 - x + 4x - 4

x^2 + 3x - 4

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

Explanation:

You can use the FOIL rule to expand out (x+4)(x-1), but here's another way you could do it.

Let y = x+4

This means we replace (x+4) with y to get y(x-1)

Distribute the y term through to get yx-y which can be written as x(y) - 1(y)

After this, replace y with x+4 getting x(x+4)-1(x+4)

Distribute a second time and simplify like so

x(x+4)-1(x+4)

x^2+4x-1x-4

x^2+3x-4

Answer: -5x=15

Step-by-step explanation:

f

Answer: 45% or 9/20

Step-by-step explanation:

50% is half and 33% is 1/3. 45% is less than 50% and greater than 33% and 9/20 is the simplified fraction form of 45%.

Answer:

w = 2, z = 7

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ;)

Answer:

1m = 100cm, 100cm = 1m

1.

b) 425cm = 4.25m

d) 140cm = 1.4m

e) 780cm = 7.8m

a) 245cm = 2.45m

c) 535cm = 5.35m

f) 340cm = 3.4m

g) 2,565cm = 25.65m

h) 5,010cm = 50.10m

2.

a) 8m = 800cm

b) 13m = 1,300cm

c) 24m = 2,400cm

d) 207m = 207,000cm

e) 21m = 21,000cm

f) 100m = 100,000cm

g) 105m = 105,000cm

h) 1m = 100cm

Answer:

•Centimeters to Meters

a) 2.45 m

b) 4.25 m

c) 5.35 m

d) 1.4 m

e) 7.8 m

f) 3.4 m

g) 25.65 m

h) 50.1 m

•Meters to Centimeters

a) 800 cm

b) 1,300 cm

c) 2,400 cm

d) 20,700 cm

e) 2,100 cm

f) 10,000 cm

g) 10,500 cm

h) 100 cm

Step-by-step explanation:

When you go to convert centimeters into meters, you divide the number of centimeters by 100. Once divided, that number is how many meters it is. Ex. There are 652 cm and you need to find out how many meters there are. Divide 652 by 100 (652/100) and that equals 6.52 m

When you go to convert meters into centimeters, multiple the number of meters by 100. Ex. There’s 4 m of rope and you want to know the length in centimeters. Multiply 4 by 100 (4x100) and you should get 400 cm.

Step-by-step explanation:

msjshshshsheueueue6636363636363636663673737328292920101pqplqlamzmzbzbxbdjsksow8e8eurhdbxbxvftdyrueioeowpqpqlalajdhddgzg xbnnxmcmxMlqlqpqw

Answer:

If You have $18, how many $2 items can you purchase?

Answer:

48 to 32  8 to 4 4 to 2 24 to 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the initial point on the line segment be O. If point A is located at 50 and point B is located at 104, then OA = 50 and OB = 104. Using the vector notation;

AO+OB = AB

(-OA)+OB = AB

-50+104 = AB

AB = 54

If point P divides the segment AB in a ratio 1:5, them AP:PB = 1:5

AP = 54/6

AP = 9

PB = 54-9

PB = 45

Hence the point P is located at 9 units from A and 45 units from B

Answer:

Ryan is correct.

Step-by-step explanation:

Laura says that the distance between (4, -2) and (4, -7) in the coordinate plane is  equal to 1-2-(-7) units.

Here, x-coordinates are same, so the distance between these points is the difference between y-coordinates.

Distance between (4, -2) and (4, -7) = -2-(-7)

                                                           = -2+7

                                                           = 5 units.

So, Laura is incorrect.

Ryan says that the distance between the points (2, 3) and (-9,3) in the coordinate  plane is equal to 2 + 9 units.

Here, y-coordinates are same, so the distance between these points is the difference between x-coordinates.

Distance between (2, 3) and (-9,3) = 2-(-9)

                                                         = 2+9

                                                          = 11 units.

Therefore, Ryan is correct.

Answer: p = -2

Step-by-step explanation:

- 0.75p - 2 =0.25p​                           add .75p on both sides

-2 = p                                                  That's the same thing at p = -2

Answer:

p = -2

Step-by-step explanation:

-0.75p - 2 = 0.25p Subtract 0.25p from both sides

-1p - 2 = 0 Add 2 to both sides

-1p = 2 Divide by -1 on both sides

p = -2

Answer:

Hence the five point summary is:

i) Minimum = 12

ii) Maximum = 47

iii) Median = 26

iv) First quartile = 15

v) Third quartile = 32

Step-by-step explanation:

The five point summary of a box and whisker plot is the minimum, maximum, median, first quartile and third quartile.

Given the number 12, 13, 14, 15, 21, 24, 25, 26, 27, 29, 32, 32, 38, 41, 47.

The median is the middle number = 26

The first quartile is the median of the numbers to the left of the median. Hence the first quartile is the median of 12, 13, 14, 15, 21, 24, 25

First quartile = 15

The third quartile is the median of the numbers to the right of the median. Hence the third quartile is the median of 27, 29, 32, 32, 38, 41, 47.

Third quartile = 32

The minimum is the lowest number = 12

The maximum is the largest number = 47

The box and whisker plot is attached

Hence the five point summary is:

i) Minimum = 12

ii) Maximum = 47

iii) Median = 26

iv) First quartile = 15

v) Third quartile = 32

Answer:

When x = -3.

4(-3)-5y=12.

-12-5y=12.

-5y=12+12.

-5y=24.

y= -4.8

Answer:

[tex]Area = \frac{3}{4} cm^2[/tex]

Step-by-step explanation:

Given

[tex]Length =\frac{1}{2}\ cm[/tex]

[tex]Width = 1\frac{1}{2}\ cm[/tex]

Required

Determine the Area

Area is calculated as follows

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

Substitute values for Length and Width

[tex]Area = \frac{1}{2} * 1\frac{1}{2}[/tex]

Convert mixed fraction

[tex]Area = \frac{1}{2} * \frac{3}{2}[/tex]

[tex]Area = \frac{3}{4}[/tex]

Hence, the area is

[tex]Area = \frac{3}{4} cm^2[/tex]

Answer:

E. 35°, 70°

Step-by-step explanation:

Sum of angles add up to 180° in every triangle.

Step 1: Set up equation

a + 2a + 75 = 180

Step 2: Combine like terms

3a + 75 = 180

Step 3: Subtract 75 on both sides

3a = 105

Step 4: Divide both sides by 3

a = 35

So 1 angle is 35°

Step 5: Plug in a to find last angle

2(35) = 70°

Answer:

E. 35°, 70°

Step-by-step explanation:

Answer:

52.5 km

Step-by-step explanation:

1cm: 2100000cm

2.5cm: x cm

you get 52.5 km

Answer:

addition

Step-by-step explanation:

altogether means to put things together or to combine.

addition is taking two or more things and combining them.

Answer:

The keyword "altogether" refers to addition.

Step-by-step explanation:

altogether = the sum of something

Answer:

24x-15

Step-by-step explanation:

Let's do this together with a step-by-step explanation!

First we need to make sure we remember that there are appropriate ways on how to solve these. LIKE PEMDAS.

6x + 3 (2x) - 7 - 2³

Let's multiply the 3 and 2x together.

6x + 6x - 7 - 2³

Now let's do the exponent

6x + 6x - 7 - 8

Now let's add everything together! But remember only common variables can be added together.

24x - 15 is the answer.

You can no longer break anything down.

I really hope this helped you!

Answer:

12x - 15

Step-by-step explanation:

so you would have to do the order of operations. so your exponent would be first. so 2×2×2=8.

6x + 3 (2x) -7 + 8

Now you can look at your parentacese which is (2x) so you need to do 3(2x) which gets you 6x.

6x + 6x -7 + 8

So you need to combine like terms.

so starting with the x

6x + 6x = 12x

Now your equation looks like this

12x + -7 +8

now you need to add like terms. (numbers)

-7 -8

so your answer is

12x -15

Answer:

The answer is C

Answer:

c is the answer

Step-by-step explanation:

the answer is c

Answer:

Accepted theories may be modified or overturned as new evidence and perspective emerges. Scientists are likely to accept a new or modified theory if it explains everything the old theory did and more. The process of theory change may take time and involve controversy, but eventually the scientific explanation that is more accurate will be accepted.

The discovery of new evidence because it's the only one that would give proof and science relies on proof.

Accepted theories may be modified or overturned as new evidence and perspective emerges. Scientists are likely to accept a new or modified theory if it explains everything the old theory did.

The process of theories change may take time and involve controversy, but eventually the scientific explanation that is more accurate will be accepted.

The discovery of new evidence because it's the only one that would give proof and science relies on proof.

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Answer:

x =  ± 19

Step-by-step explanation:

x² = 361

x = ±√361

x =  ± 19

Answer:

R=30.81≈31  

Step-by-step explanation:

Answer:

R=30.8

Step-by-step explanation:

The answer you'd get on the calculator when simplisfied is 30.81, and when that answer is rounded to the nearest tenth, it'd equal 30.8 and not 31

Answer:

B) 5x4

one its not A nor its C

its either B or D but i would go with B because D doesn't make sense all because D is saying x4^5 but its 5x^4

Answer:

[tex]x^{\frac{4}{5} }[/tex]

Step-by-step explanation:

Using the rule of radicals/ exponents

[tex]\sqrt[n]{x^{m} }[/tex] ⇔ [tex]x^{\frac{m}{n} }[/tex] , thus

[tex]\sqrt[5]{x^{4} }[/tex] = [tex]x^{\frac{4}{5} }[/tex]

Answer:

the quotient has a remainder of 4

Step-by-step explanation:

The computation of the long division is shown below:

                       1 3   1     9                    

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

            26           34298

                            26

               -------------------------------------(deduct)

                             82

                             78

                --------------------------------------(deduct)

                            49

                            26

                 ------------------------------(deduct)

                            238

                             234

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

                               4

hence, the first option is correct

Answer:

The product 12 × 15 in friendlier numbers is (10 + 2) × (10 + 5) = 180

Step-by-step explanation:

The parameter given are;

To 12 × 15 by changing the numbers into friendlier numbers

The product in 12 × 15 written with friendlier numbers (or in a simplified format can be given as follows;

12 × 15 = (10 + 2) × (10 + 5)

Which gives;

(10 + 2) × (10 + 5) = 10² + 10 × 5 + 2 × 10 + 2 × 5

From which we have;

10² + 10 × 5 + 2 × 10 + 2 × 5 = 100 + 50 + 20 + 10 = 180

Therefore;

12 × 15 = 180.

Answer:

Step-by-step explanation:

solo las expresiones con signos de multiplicación pueden expresarse como potencias

[tex]4\times 4\times4\times4 = 4^4\\\\7\times7\times7 =7^3\\\\(-2)\times(-2) = (-2)^2[/tex]