Part Looking at the data plots, which test do you think the students scored better on? Do you think one of the tests
has more variation than the other or is the variation about the same for both tests? Use complete sentences in your
answer and explain your reasoning,
Part 2: Calculate the mean (rounded to the nearest whole numbers and mean absolute deviation for the Unit 1 test
Part 3: Do your results from part B prove or disprove your hypotheses from part A? Use complete sentences in your
answer and explain your reasoning.

Answer:

m<P = [tex]116^{0}[/tex]

Step-by-step explanation:

The given triangle is an isosceles triangle.

Since PN ≅ OP, then m<O ≅ m<N.

So that,

m<O + m<P + m<N = 180 (sum of angles in a triangle)

But,

m<O = 32 ≅ m<N = 32 (base angles of an isosceles triangle are equal)

32 + 32 + m<P = 180

64 + m<P = 180

m<P = 180 - 64

       = 116

m<P = [tex]116^{0}[/tex]

nope they are not similar

as in order to say that triangles are similar their sides should be in proportion or angles to be equal but here

here only one angle is equal the other one is not

So they are not similar

Step-by-step explanation:

Yes the given two triangles are similar because all the corresponding angles are equal.

in the first figure let the remaining angle be x then

x + 37 + 110 = 180

x = 33

In the second figure let the remaining angle be y then

y + 33 + 110 = 180

y = 37

Here we come to the conclusion that all the corresponding angles are equal so they are similar triangles.

Hope it will help :)❤

Answer:

30.8

Step-by-step explanation:

30.7+0.1=30.8

Answer:

30.8

Step-by-step explanation:

Just add one to the same decimal place as the 0.1/0.7 and you get 0.8. The main number (30) does not change.

Answer: 0.49 mi

Step-by-step explanation:

First find the half circumference of the circular pond as this will show the total distance your friend has to walk:

= (π * diameter) / 2

= (22/7 * 0.85) / 2

= 1.34 mi

Your friend is going to walk 1.34 and you will walk 0.85.

Difference is:

= 1.34 - 0.85

= 0.49 mi

Given:

Principal value of loan = $1,245

Rate of interest = 5%

To find:

The total amount that will be repaid if the loan described is paid in 2 years.

Solution:

The formula for amount is

[tex]A=P\left(1+\dfrac{r}{100}\right)^t[/tex]

Where, P is the principal, r is the rate of interest, t is the number of years.

Putting P=1245, r=5 and t=2, we get

[tex]A=1245\left(1+\dfrac{5}{100}\right)^2[/tex]

[tex]A=1245\left(1+0.05\right)^2[/tex]

[tex]A=1245\left(1.05\right)^2[/tex]

On further simplification, we get

[tex]A=1245(1.1025)[/tex]

[tex]A=1372.6125[/tex]

[tex]A\approx 1372.61[/tex]

Therefore, the total amount that will be repaid if the loan described is paid in 2 years is $1372.61.

Set up 2 equations:

Kyle: 5h + 3f = 14.50

Myles: 4h + 2f = 11.00

Lets get the two h's to cancel out.

Multiply Kyle by 4 and Myles by -5:

Kyle: 20h + 12f = 58

Myles: -20h - 10f = -55

Now add the two equations together:

2f = 3

Divide both sides by 2:

f = 3/2

f = 1.50

1 french fry cost $1.50

Now solve for the price of a hot dog:

5h + 3(1.50) = 14.50

5h + 4.50 = 14.50

Subtract 4.50 from both sides:

5h = 10.00

Divide both sides by 5:

h = 2

One hot dog cost $2.00

Answer:

Step-by-step explanation:

y=mx+b where m=slope and b=y intercept

m=(y2-y1)/(x2-x1)=(22-4)/(0+8)=2.25

y=2.25x+b, using point (0,22) we can solve for b

22=2.25(0)+b

b=22

y=2.25x+22 or stating it fractionally

y=9x/4+22

Answer:

its d

Step-by-step explanation:

Answer:

Yes, because 2/8 = 1/4, 3/12 = 1/4, 4/16 = 1/4, and 5/20 = 1/4.

The counselor would get 24 because 6/24 = 1/4

Step-by-step explanation:

Answer:

yes its proportional

Step-by-step explanation:

2x4=8

3x4=12

4x4=16

5x4=20

sorry im not very good at explaining it but basically you just have to figure out if they can all get multiplied by the same number to get the number thats to the right of them

Answer:

Your solution is (-1, 0)

Step-by-step explanation:

3x - y = -3

x + y = -1

The elimination method eliminates one variable at a time to find the other variable.

Here we can see that the y variable will naturally be eliminated.

3x - y = -3

x + y = -1

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

4x = -4

Divide both sides by 4 to isolate x.

x = -1

Now plug this value back into one of the equations.

3(-1) - y = -3

Multiply.

-3 - y = -3

Add 3 to both sides.

-y = 0

Divide both sides by -1.

y = 0

Your solution is (-1, 0)

Check this solution by plugging these values into the second equation.

-1 + 0 = -1

-1 = -1

Your solution is correct.

Hope this helps!

Answer:

x = -1

y = 0

Step-by-step explanation:

3x - y = -3 -------------------(I)

x + y = -1    ------------------(II)

Add equation (I) & (II). Now, y will be eliminated and you can find the value of x

(I)    3x - y = -3

(I)   x + y =  -1

    4x       = -4

           x  = -4/4

           x = -1

Plugin x = -1 in equation (II)

-1 + y = -1

        y = -1 +1

        y = 0

Step-by-step explanation:

Just think of these as your building blocks for geometry success.

Diagram for success. ...

Know your properties and theorems.

Understand Euclid's postulates.

Learn the language of math.

Know your angles. ...

Know your triangles. ...

Figure out what you want and what you're given. ...

Now fill in the rest.

Answer:

The answer is (b-5)2

Step-by-step explanation:

Decreasing means you need to subtract.

Doubled mean you need multiple it by 2.

Answer:

a number b is decreased by 5 then doubled

(b -5) x 2

the sum of 20 and h is divided by f

h/f = 20

Marissa's hair was 10inches long and then she cut b inches

10 - b

the sum of twice c and 10

2 x c = 2 x 10

anna had a n piece of candy and ate 5. she split remaining amount with three friends

(n-5) = (X / 3)

I hope my answer are correct and helpful a little bit.

Answer:

56 legos in all

Step-by-step explanation:

35/5=7

7*3=21

21+35=56

Answer:

well i have legos in rl so i think the answer is C. or 56 legos in all

Step-by-step explanation:

Answer:

2. 70

Step-by-step explanation:

Theorem:

The measure of an exterior angle of a triangle equals the sum of the measures of its remote interior angles.

<CBD is an exterior angle of triangle ABC.

Its remote interior angles are <A and <C.

m<A + m<C = m<CBD

m<A + 75 = 145

m<A = 70

m<CAB = 70

Answer: 2. 70

Answer:

the missing terms are x, y

we have:

x + 7 = 4 => x = -3

13 - y = y - 5

<=> 2y = 18

<=> y = 9

so the missing terms are -3; 9

Answer:

x = 240 ft

Step-by-step explanation:

20/80 = 60/x

20x = 2400

x = 240 ft

Answer:

6.651*10^9

Step-by-step explanation:

6.68*10^9-2.9*10^7

You can factor out 10^7 to get

(6.68*10^2-2.9)*10^7

(668-2.29)*10^7

665.71*10^7

Scientific notation would be 6.651*10^9

Answer:

... and your data. OK; Find out what's changed ... Money is shared, liquids are mixed and teams are assigned using ratios. Drawing ... If you need to make 4 litres of paint, how much red and white paint would you need? The ratio ...

Step-by-step explanation:

Answer:

(7, 2).

Step-by-step explanation:

The median from A intersects BC at it's midpoint.

To find the midpoint of BC:

This is (x1, y1) where x1 = (sum of the x_values of B and C) / 2)  and where y1

= (sum of the y_values of B and C) / 2)

This is (2+12)/2,  (1 + 3)/2

= (7, 2).

Answer:

sin theta= p/h

here, 40√3/x=x sin 60

40√3/x=x √3/2

40/x= x/2

x^2=80

=√80=4√5

Answer:

Pt=1285237.2855≈ 1285237

YOUR WELCOME :)

Answer: 30 minutes

Step-by-step explanation:

First find the distance that Patrick traveled in that time:

= 40/60 minutes per hour * 9

= 6 miles

If he were travelling at a speed of 12 miles an hour, the amount of time it would take him would be:

= Distance / Speed

= 6 miles / 12 miles per hour

= 0.5 hours

= 0. 5 * 60 mins

= 30 minutes

Answer:

2 cm

Step-by-step explanation:

the sum of the two shorter sides must be longer than the third side

Answer:

300%

Step-by-step explanation:

Given

[tex]y\ \alpha\ \frac{1}{x^2}[/tex]

Required

Find the percentage change in y when x decreased by 50%

First, convert to equation

[tex]y\ = \ \frac{k}{x^2}[/tex]

Where k is the constant of proportionality

When x decreased by 50%

[tex]Y = \frac{k}{(x - 0.5x)^2}[/tex]

[tex]Y = \frac{k}{(0.5x)^2}[/tex]

[tex]Y = \frac{k}{0.25x^2}[/tex]

Expand

[tex]Y = \frac{1}{0.25} * \frac{k}{x^2}[/tex]

Substitute [tex]\frac{k}{x^2}[/tex] for y

[tex]Y = \frac{1}{0.25} * y[/tex]

[tex]Y = 4 * y[/tex]

[tex]Y = 4 y[/tex]

The percentage change is then calculated as:

[tex]\%Change = \frac{Y - y}{y} * 100\%[/tex]

[tex]\%Change = \frac{4y - y}{y} * 100\%[/tex]

[tex]\%Change = \frac{3y}{y} * 100\%[/tex]

[tex]\%Change = 3 * 100\%[/tex]

[tex]\%Change = 300\%[/tex]

The percentage in y is 300%

From the calculation, the percentage change in y is 300%.

From the statement of the question; y α 1/x^2 so introducing the constant of proportionality, we have; y =k/x^2 so k = x^2y.

We are then told that x is decreased by 50% hence;

Y = k/(x - 0.25x)^2

Y = k/(0.5x)^2

Y = 1/0.25 k/x^2

But k/x^2 = y so;

Y = 1/0.25 y

Y = 4y

Change = 4y -y/y * 100/1

= 300%

Learn more about percentage change: https://brainly.com/question/15308590

Answer:

Step-by-step explanation:

[tex]20L+9P\ge 1500,\ L=41\\ \\ 20(41)+9P\ge 1500\\ \\ 820+9P\ge 1500\\ \\ 9P\ge 680\\ \\ P\ge 75.6\\ \\ P=76[/tex]

Answer:

fnjfc ij vcd d GB hhv

Step-by-step explanation:

tb f thg. kufc if fyi uuj