A fair coin is tossed in the air four times. If the experimental probability of landing on tails is 1/4, then what is the difference between the experimental and theoretical probability?

Answer:

The two equations would be

x+y=29       5x+2y=100

Step-by-step explanation:

Looking at the points, x and y add up to be 100

x is worth 5 hence 5x and y are worth 2, hence 2y.

there are 29 problems in total. meaning the x + the y add up to 29 problems

What you want to do is plot each point on the graph according to both the x and y coordinate. Then, when you've drawn all four points in their appropriate place, draw a relatively straight line through all of them. You might need to use a ruler for that part.

The table shows the month and the the total number of people

The graph for the given table is attached below.

Given :

The table shows the number of people who attended her first, second, third, and fourth month of her career.

From the given table the month represents x  and number of people represents y

Lets make 4 coordinates  from the given table

Plot all the 4 points on the graph

(1, 124), (2,201)  (3,390)

(4,700)

For (1,124) , we take x=1  and y = 124 on graph

Look at the point where x=1  and y=125 intersects. That point is (1,124)

All the data are shown in the graph attached below

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Answer:

Factor the numerator and denominator and cancel the common factors.

−1

Answer:

it is -1 when all calculated

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}-5a+b=8&\text{add}\ 5a\ \text{to both sides}\\7a+9b=-32\end{array}\right\\\\\left\{\begin{array}{ccc}b=5a+8&(1)\\7a+9b=-32&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\7a+9(5a+8)=-32\qquad\text{use the distributive property}\\\\7a+(9)(5a)+(9)(8)=-32\\\\7a+45a+72=-32\qquad\text{subtract 72 from both sides}\\\\52a=-104\qquad\text{divide both sides by 52}\\\\\boxed{a=-2}\\\\\text{Put the value of}\ a\ \text{to (1):}\\\\b=5(-2)+8\\\\b=-10+8\\\\\boxed{b=-2}[/tex]

Answer:

n +(-8)=14

Step-by-step explanation:

a number is 'n'

is adding negative of 8

i. e. -8

is eaual to 14

then n=14+8

or; n =22

therefore the number is 22.

y = 12x represents the gallons of paint used in x hours.

Step-by-step explanation:

CJ uses 3 gallons of paint in 15 minutes,

15 minutes = 3 gallons

1 minutes = [tex]\frac{3}{15} = \frac{1}{5} \ gallons\\[/tex]

1 hour = 60 minutes

Gallons of paint used in 1 hour;

1 hour = [tex]\frac{1}{5}*60=12\ gallons[/tex]

CJ uses 12 gallons of paint in 1 hour.

For x hours = 12*x = 12x

Gallons of paints used = y

y = 12x represents the gallons of paint used in x hours.

Keywords: linear equation, multiplication

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Answer:

$270.00

Step-by-step explanation:

The ratio of house of babysitting and house is 3:2. If you change the 3 into a 15, you would have to change the 2 into a 10 because 3 x 5 = 15, so 2 x 5 = 10.

After you do those calculations you divide 15 by 5 and that is 3. You then multiply 60 by 3 = 180.

After that you have to divide 10 by 8 and you get 1.25. You then multiply 72 by 1.25 = 90.

Then you add 180 and 90 together to get $270.00

Answer:

45%

Step-by-step explanation:

The formula to work out the decrease is:

Percentage Decrease= actual decrease / original amount X 100%

1) So firstly, we have to work out the decrease, to do this we have to do is do $750-$412.50= $337.50

2) We can now substitute this into our formula which will now be. (We will also add the original amount, which is $750.00)

Percentage Decrease= 337.50 / 750.00 X 100% = 45

The percentage decrease is 45%

Answer:

10

Step-by-step explanation:

A bakery makes 40 different flavors of muffins.

25% of the flavors have chocolate as one of the ingredients.

Convert 25% to fraction:

[tex]25\%=\dfrac{25}{100}=\dfrac{1}{4}[/tex]

So, there are

[tex]40\cdot \dfrac{1}{4}=10[/tex]

muffins which have chocolate as one of the ingredients.

In attached tape diagram:

green - with chocolate

blue - without chocolate

Answer:

Step-by-step explanation:

The total number of flavors is 40.

25% of the flavors have chocolate.

To find the number of flavors which have chocolate, we just need to multiply 0.25 by 40, because 0.25 represents 25%

[tex]0.25(40)=10[/tex]

So, there are 10 flavors with chocolate.

Now, if 25% represents flavors with chocolate, then 75% represents flavors without chocolate

[tex]0.75(40)=30[/tex]

So, there are 30 flavors without chocolate.

Answer:

D) approximately bell-shaped

Step-by-step explanation:

a bell-shaped histogram is where you can draw a vertical line to the top of the histogram (in this case to the blue line at frequency 12) and a "mirror" line going back down (1 (200-249) ) where the bell-shape can make the shape going through all the lines of the histogram.

I hope I explained that well, and I hope that helps!

Answer:

see explanation

Step-by-step explanation:

Any integer n > 1 multiplied by 2 will be even, that is

2n ← is even

Given

n² - (n - 2)² - 2 ← expand parenthesis

= n² - (n² - 4n + 4) - 2

= n² - n² + 4n - 4 - 2 ← collect like terms

= 4n - 6 ← factor out 2 from each term

= 2(2n - 3)

Hence 2(2n - 3) ← will always be even for n > 1

The statement can be proved by parenthesis that the expression [tex]n^{2} - (n - 2)^{2} - 2[/tex] is always an even number.

=  [tex]n^{2} - (n - 2)^{2} - 2[/tex]

=  [tex]n^{2} - (n^{2} - 4n + 4) - 2[/tex]

=  [tex]4n - 4 - 2[/tex]

=  [tex]4n - 6[/tex]

= [tex]2(2n - 3)[/tex]

As the expression 2(2n - 3) is always a multiple of 2 and also it is given that n>1 therefore by the parenthesis, the expression [tex]n^{2} - (n - 2)^{2} - 2[/tex] is always an even number.

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Answer:

x= 16/7

Step-by-step explanation:

Answer:

First question is D: F varies directly with x and y, and inversely with z.

Second Question is B Y=kx^3/sq root z

Edge Verified

Answer:

part 1 = d

part 2= b

Step-by-step explanation:

I just got it right on edg

Answer:

-5.1, -14/3, -4

brainlist accepted!;)

Answer:

The correct answer would be option C.

Step-by-step explanation:

Since he gives the dog 3 liters of water and 500 grams of food a day we know that on the fifth day the dog will have gotten 15 liters of water and 2,500 grams of food.

The required coordinate will be (15, 2,500)

Hence the required coordinate will be (15, 2,500) which is interpreted as the fifth day, Julie gave Banjo 15 liters of water and 2,500 grams of food.

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Answer:

600

Step-by-step explanation:

20%=0.2

120/0.2=600

Answer:

Length = 32 feet

Width = 10 feet

Step-by-step explanation:

The area of a rectangle = length (L) x width (W)

The relationship between the length and width is that

L = 12 + 2W -------------- (i)

therefore

Area = L x W can be rewritten as (12 + 2W) x W

320 =  (12 + 2W) x W

320 = 12W + 2W^2

this can then be turned into a quadratic equation:

2W^2 + 12W - 320 = 0

Divide through by 2

W^2 + 6W - 160 = 0

W^2 - 10W + 16W - 160 = 0

W(W- 10) + 16(W- 10) = 0

(W- 10)(W + 16) = 0

hence W = -16 and 10

since width cannot be a negative value,

Width = 10

hence substituting for width = 10 into equation (i)

L = 12 + 2(10)

L = 12 +20 = 32

Answer:

45 degrees

Step-by-step explanation:

As all of the angles in a triangle add up to 180 and we already know that one angle is 90, that means that the sum of the other two angles is 90. So, you can do 90/2=45.

To calculate Melanie's savings from paying off a 20-year loan early, we compare total payments over 20 years to total payments made if the loan is finished 6 years early, focusing on the saved interest.

Without the monthly payment, we can't provide the exact savings figure, but it certainly would be less interest paid over 14 years versus 20 years.

To calculate the savings from paying off a loan early, we need to compare the total amount paid under the original loan terms with the total amount paid if the loan is paid off early.

For Melanie's 20-year loan of $50,000 at an APR of 3.3% compounded monthly, we can use financial formulas or a calculator to determine the monthly payment and the total amount paid over the terms of the loan.

If the loan is paid off 6 years early, we would compare the interest paid over 14 years with the interest paid over 20 years.

However, without the exact formula being used or the provided calculator, we can't give an exact figure for the amount saved.

You will typically find that by paying off a loan early, you save money on interest that would have accrued over the remaining term of the loan.

To answer the question, Melanie would need to calculate or look up the monthly payment, multiply by the number of payments she would make in the two scenarios, and then subtract the smaller total from the larger one to determine her savings.

Answer:

20*s+30*l = 280

4*s=l

Step-by-step explanation:

Let's say that the number of small boxes is s and the number of large boxes is l. Then, 20*s equals the amount of books in small boxes (as there are 20 books per small box), and 30*l for the amount of books in large boxes. Then, we know that 4 times the amount of small boxes, s, equals l, so 4*s=l. Then, as we know that the amount of books that can be held is 280, we can add the amount of books for each type of box, or 20*s+30*l, to get 280. Our equations are as follows:

20*s+30*l = 280

4*s=l

As we can define l in terms of s, making it so that we can limit the top equation to 1 variable, we can use this to determine the number of each type of box

The length of NT in isosceles triangle RST is 7.

In an isosceles triangle, the base angles are congruent, and the sides opposite those angles are also congruent. Let's denote the length of RS (and RT) as r, and the length of MN as m  Since M and N are midpoints, MN is parallel to the base, and its length is half the length of the base. Therefore, [tex]\( m = \frac{r}{2} \).[/tex]

The perimeter of the triangle is the sum of the three sides, so [tex]\( 2r + r = 25 \) (as RS = RT).[/tex] Solving for r, we get [tex]\( r = \frac{25}{3} \).[/tex]

Now, we know that [tex]\( m = \frac{r}{2} \),[/tex] so [tex]\( m = \frac{25}{6} \)[/tex]. Finally, the length of NT is the difference between RT and MN, which is [tex]\( \frac{25}{3} - \frac{25}{6} = 7 \).[/tex]Therefore, the length of NT is 7 units.

QUESTION:Consider isosceles triangle RST, where RS = RT. Let M and N be the midpoints of sides RS and RT, respectively. A segment MN is drawn with a length of 3.5 units. The perimeter of triangle RST is given as 25 units. Determine and state the length of NT.

Please provide a comprehensive solution to this problem, including step-by-step calculations and explanations.

Final answer:

By applying properties of isosceles triangles and the given conditions, we calculate that the length of segment NT is 4.5 units.

Explanation:

The subject matter is a geometrical problem involving an isosceles triangle with given conditions. In isosceles triangle RST, RS and RT are equal in length, M and N are the midpoints of RS and RT respectively, and MN is drawn with a length of 3.5 units. Given that the perimeter of the triangle is 25 units, we need to find the length of segment NT.

To solve this, we first understand that in an isosceles triangle, the perpendicular from the vertex to the base bisects the base. Therefore, segment MN cuts the base ST equally in two, making each half 3.5 units, since MN = 3.5 units. Furthermore, because M and N are midpoints, segments MS and NT are equal. Finally, by knowing the perimeter, we can deduce that RS + ST + RT equals 25 units.

Thus, we can derive the lengths of RS and RT (which are equal) and then use that information to calculate the length of NT. If RS = RT and we call that length x, then 2x + 2(3.5) = 25. Solving for x gives us x = (25 - 7)/2 = 9. Thus, segment NT as the half of either RS or RT is 9/2 = 4.5 units.

Answer:

27[tex]\frac{27}{4x^{6}y^{8}  }[/tex]

Step-by-step explanation:

your going to raise the power on the numerator by 3 and the denominator 4  so you get [tex]\frac{4*27x^{6} y^{12} }{16x^{12}y^{20}  }[/tex] then reduce and simplify

[tex]\rightsquigarrow[/tex] [tex]\bold{\dfrac{4(3x^2 y^4)^3}{(2x^3 y^5)^4} }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{\dfrac{4(3x^5 y^{12})}{2x^{12} y^{20}} }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{\dfrac{ 12x^5 y^{12}}{2x^{12} y^{20}} }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ \dfrac{\cancel{12x^5 y^{12}}}{\cancel{2x^{12} y^{20}}}}[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{\dfrac{6}{x^7 y^8} }[/tex]

Answer:

From a starting position of 13,500 feet above the ground, she is descending at 32 feet per second.

Step-by-step explanation:

The equation is in slope intercept form. [tex]y=mx+b[/tex]

The slope (m) is -32. This can be used as a unit rate: -32 ft per second.

The y-intercept (b) is 13,500. It would make most sense if she started at 13,500 ft in height.

From a starting position of 13,500 feet above the ground, Pam is descending at 32 feet per second.

Answer:

The answer is B) From a starting position of 13,500 feet above the ground, she is descending at 32 feet per second.

Step-by-step explanation:

D does not make since because if you start at 32ft you can't fall 13,500ft. There is nowhere for you to go.

A and C don't make since because you can't fall upward.

To create the image of a figure under a dilation with a scale factor of 1/2 centered at the origin, multiply each vertex coordinate by 1/2. The new coordinates for vertices j, k, l, and m would be j'(-1, 1), k'(2, 1), l'(2, -1), and m'(-1, -1), respectively.

The student is asking for the image of a figure after performing a dilation with a scale factor centered at the origin. To perform this dilation, you need to multiply the coordinates of each vertex by the scale factor. For a scale factor of 1/2, each coordinate of the vertices is halved. Therefore, the new vertices after the dilation will be:

These new vertices j', k', l', and m' will give you the dilated figure.

Answer:

The ratio  of Jay's age to Kiaria's age to Martha's age​ is 1: 2 : 4.

Step-by-step explanation:

Here, let us assume the age of jay = u years

So, the age of Kiaria = Age of Jay + 7   =   u + 7

And, the age of Martha  = 2 x ( age of Kiaria) = 2 ( u + 7)

Now, the sum of the ages  = 7 u

⇒ (u) + (u + 7)  + 2 ( u + 7)  = 7 u

or,  u + u + 7 + 2 u + 14 = 7 u

or, 4 u +  21 =  7 u

⇒ 3  u = 21  or u = 21/3 =  7

⇒ u  = 7 years

Hence, the age of Jay =  m = 7 years

Age of Kiaria = m + 7 = 7 + 7 = 14 years

Age of Martha  =2 (  m+7) = 2 ( 7 +7) = 28 years

So, the ratio of Jay's age to Kiaria's age to Martha's age​

is 7: 14: 28 = 1: 2 : 4

Hence, the final ratio of the ages is 1: 2 : 4.

Answer:

Step-by-step explanation:

[tex]\bold{METHOD\ 1:}\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-7)^2=x^2-2(x)(7)+7^2=x^2-14x+49\\\\\bold{METHOD\ 2:}\\\\\text{We know:}\ a^2=a\cdot a\\\\(x-7)^2=(x-7)(x-7)\\\\\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(x)(x)+(x)(-7)+(-7)(x)+(-7)(-7)\\\\=x^2-7x-7x+49\qquad\text{combine like terms}\\\\=x^2-14x+49[/tex]

Answer:

Step-by-step explanation:

[tex]\bold{METHOD\ 1:}\\\\\begin{array}{ccc}126\ mi&-&3h\\\\x\ mi&-&4h\end{array}\qquad\text{cross multiply}\\\\3x=(126)(4)\\3x=504\qquad\text{divide both sides by 3}\\x=168\ mi[/tex]

[tex]\bold{METHOD\ 2:}\\\\126\ mi\ \text{in}\ 3\ h,\ \text{then}\ \dfrac{126\ mi}{3}=42\ mi\ \text{in}\ 1\ h.\\\\\text{If}\ 42\ mi\ \text{in}\ 1\ h,\ \text{then}\ (42\ mi)(4)=168\ mi\ \text{in}\ 4h.[/tex]

Answer:

After t weeks, the balance in the expense account and fundraising account is

f(t)= 400 -40t +150+32t

f(t)= 550 -8t

After 12 weeks,

f(12) = 550- 8(12) = 454

Answer:

Step-by-step explanation:

After t weeks, the balance in the expense account and fundraising account is

f(t)= 400 -40t +150+32t

f(t)= 550 -8t

After 12 weeks,

f(12) = 550- 8(12) = 454