Jerry indicated that after tossing a penny 30 times, the relative frequency of heads was 0.47 (to the nearest hundredth). He indicated that after 31 times, the relative frequency of heads was 0.55. Are Jerry’s summaries correct? Why or why not?

Answer:

The answer is x = 13 and y = 5.

Step-by-step explanation:

From the diagram, we know that there are two congruent legs of the triangle on the left (indicated by the lines).  This means that two angles in this triangle measure 5x degrees.  Because the third angle of the triangle is supplementary to the 130 degree angle, we know it must measure (180-130) or 50 degrees.  We can apply this supplementary argument to the triangle on the right as well.  Looking at both triangles, we can create the following equations using the idea that the interior angles of a triangle must add to 180 degrees total.  This gives us the following equations:

5x + 5x + 50 = 180

10y + 5 + 6x - 3 + 50 = 180

Let's begin by solving the first equation, since it only contains one variable.

5x + 5x + 50 = 180

We can start by combining like terms on the left side of the equation.

10x + 50 = 180

Then, we can subtract 50 from both sides of the equation.

10x = 130

Next, we can divide both sides by 10.

x = 13

Now that we know the value for x, we can take our second equation (that came from the triangle on the right side) and solve for y.

10y + 5 + 6x - 3 + 50 = 180

Let's begin by simplifying the equation a little bit.

10y + 6x + 52 = 180

We can subtract 52 from both sides of the equation.

10y + 6x = 128

Now we can plug in the value for x we found above, x = 13, and simplify.

10y + 6(13) = 128

10y + 78 = 128

We should then subtract 78 from both sides of the equation.

10y = 50

Finally, we can divide both sides of the equation by 10.

y = 5

Therefore, the answer to the problem is x = 13 and y = 5.

Hope this helps!

Answer:

( y + 1 )

Step-by-step explanation:

3y² - 2y - 5

(3y - 5) (y + 1)

Answer:

$1.50 is [tex]\frac{1}{4}[/tex] of $6.00

Step-by-step explanation:

In order to answers this, we should put $1.50 as the numerator, and $6.00 as the denominator, then simplify it and get the following...

[tex]\frac{1.50}{6.00} = \frac{1.50 / 1.50}{6.00/1.50} = \frac{1}{4}[/tex]

Answer:

C.

Step-by-step explanation:

It says from least to greatest. You start off looking at the whole numbers and 1 is the least. Your going to start at 1 2/5 (that rules off A and B). The next number you need to compare is 3/10 and 5/8. Since 5/8 is bigger than 3/10 the answer would be C.

Answer:

x=64°

Step-by-step explanation:

x=180-90-26 (angles on a str line)

=64°

Answer:

64 is the answer to this question

Step-by-step explanation:

180÷2=90

90-26=64

Answer:

4x(2x+1)

Step-by-step explanation:

8x^2+4x

x(8x+4)

4x(2x+1)

Answer:

4x(2x + 1)

Step-by-step explanation:

8x² + 4x

4(2x² + x)

4x(2x + 1)

Answer:

$339.00

Step-by-step explanation:

If you put $25 each month into a savings account that paid a simple interest rate of 6.5% each year, how much would you have in your account at the end of two years?

We solve the above question using the Equation:

A = P(1 + rt)

P = Principal = Amount deposited each month = $25

The amount deposited in a year = $25 × 12 months = 300

Calculation:

First, converting R percent to r a decimal

r = R/100 = 6.5%/100 = 0.065 per year.

Solving our equation:

A = 300(1 + (0.065 × 2)) = 339

A = $339.00

Therefore, you would have $339 in your account after 2 years

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

We are given the function:

[tex]f(x)=2x+7[/tex]

And we want to find x when f(x) = -1.

Substitute:

[tex]-1=2x+7[/tex]

Subtract seven from both sides:

[tex]2x=-8[/tex]

Divide both sides by two. Hence:

[tex]x=-4[/tex]

Answer:

y = - [tex]\frac{1}{3}[/tex] x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 3 ← is in slope- intercept form

with slope m = 3

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{3}[/tex] , then

y = - [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = 1 + c ⇒ c = - 1 - 1 = - 2

y = - [tex]\frac{1}{3}[/tex] x - 2 ← equation of perpendicular line

Answer:

four angles

four sides

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

You can just divided the numerator by the denominator and find which answers are the same as 9/10

Answer:

blue marbles: 4/15

red marbles: 8/15

Step-by-step explanation:

add all the marbles together then put how many marbles in front as the numerator.

Answer:

500 1/8" (500.125 inches)

Answer:

2 units

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangle are acute, obtuse, scalene, isosceles, equilateral and right angled triangle.

Since point D and E are midpoints of the sides of triangle ABC, hence:

AD = BD = 3t, BE = CE = 4t, AC = 7t + 6

The perimeter of triangle ABC = AC + BC + AB = AC + AD + BD + BE + CE;

Substituting:

48 = 7t + 6 + 3t + 3t + 4t + 4t = 21t + 6

48 = 21t + 6

21t = 42

t = 2 units

Answer:

= 3*(4x^3+1)^2

= degree 6

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

this will help

option C is correct because a line bisecting parallel lines makes the same angle on each line at the point of intersection

so they all will make 61°

Answer:

9 and ,-7 , -4

...........................

Answer:

9 and ,-7 , -4

Step-by-step explanation:

"Is Mark a Masochist?" is the 170th episode of Unus Annus, hosted by Markiplier and Ethan Nestor-Darling.

Answer:

170th episode of Unus Annus brought to us by Markiplier and Ethan Nestor-Darling

This is what i do when i have nothing better to do in life

Answer:

Ivan had 288 sweet while Ken had 672 sweets

Step-by-step explanation:

Let the number of sweets owned by Ken and Ivan be k and v respectively.

After Ken gave away 5/7 of his sweet, what he had left

= k - 5k/7

= 2k/7

he had 2/3 as many sweets as Ivan then

2k/7 = 2v/3

Divide both sides by 2 and cross multiply

7v = 3k

Ivan then gave away 120 sweets, Ivan would have

v - 120 = k/4

multiply both sides by 4

4v - 480 = k

7v = 3(4v - 480)

7v = 12v - 1440

12v - 7v = 1440

5v = 1440

v = 1440/5

= 288

7v = 3k

7 * 288 = 3k

k = 7 * 288/3

= 672

Answer:

2r² - 60r - 45 = 0

Step-by-step explanation:

Hang on this is going to be convoluted

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

Area of pond

a = πr²

Area of path

a = πr²/10

Combined Area

a = πr² + πr²/10

a = π(r² + r²/10)

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

The Combined Area can also be expressed as

a = π(r + 1.5)²

a = π(r² + 3r + 2.25)

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

Set the areas equal

π(r² + r²/10) = π(r² + 3r + 2.25)

Divide both sides by π

r² + r²/10 = r² + 3r + 2.25

Subtract r² from both sides

r²/10 = 3r + 2.25

Multiply both sides by 20

2r² = 60r + 45

Subtract 60r + 45 from both sides

2r² - 60r - 45 = 0

Answer:

The graph in the bottom right corner.

Step-by-step explanation:

Answer: B. The second one. The one that has 3 lines on on the top right, one in the middle and one in the bottom left.

Step-by-step explanation:

Just graph it on a piece if paper like I did, you'll see

Answer: Choice C

Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatterplot could be linear or nonlinear.

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

Explanation:

Just because the data points trend upward (as you go from left to right), it does not mean the data is linearly associated.

Consider a parabola that goes uphill, or an exponential curve that does the same. Both are nonlinear. If we have points close to or on these nonlinear curves, then we consider the scatterplot to have nonlinear association.

Also, you could have points randomly scattered about that don't fit either of those two functions, or any elementary math function your teacher has discussed so far, and yet the points could trend upward. If the points are not close to the same straight line, then we don't have linear association.

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

In short, if the points all fall on the same line or close to it, then we have linear association. Otherwise, we have nonlinear association of some kind.

Joseph's claim that an increasing trend is not enough evidence to conclude the scatterplot is linear or not.

Answer:

Joseph claims that a scatterplot in which the y-values increase as the x-values increase must have a linear association. Amy claims that the scatterplot could have a nonlinear association. Which statement about their claims is true?

A) Joseph is correct because only a line will increase along the whole data set.  The scatterplot will have a positive, linear association.

B) Joseph is correct because only a line will decrease along the whole data set.  The scatterplot will have a negative, linear association.

C) Amy is correct because a nonlinear association could increase along the whole data set, while being steeper in some parts than others. The scatter plot could be linear or nonlinear.

D) Amy is correct because only a nonlinear association could increase along the whole data set. A line has the same slope at any point, but a curve can get steeper at different points.

Step-by-step explanation:

I got it right on ed.

(its C/3 btw)

Answer:

Step-by-step explanation:

69

Answer:

The correct answer would be A

Step-by-step explanation:

Answer:

the area would be 15 if you use are equals 1/2 base times height

Answer:

Option D

Step-by-step explanation:

Properties of a rhombus,

1). Diagonals of a rhombus bisect the opposite angles.

2). Sum of adjacent two angles of a rhombus is 180°.

By property (1),

Diagonal JL will bisect the angles ∠MJK and ∠KLM.

Therefore, m∠KLM = 2(5x + 3)°

Similarly, diagonal KM will bisect the angles ∠JKL and JML.

Therefore, m∠JKL = 2(9x - 11)°

By property (2),

2(9x - 11)° + 2(5x + 3)° = 180°

9x - 11 + 5x + 3 = 90

14x - 8 = 90

14x = 98

x = 7

Since, m∠KLM = 2(5x + 3)°

                        = 2(5×7 + 3)°

                        = 76°

Therefore, Option D will be the answer.