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To change a mixed number into an improper fraction we get M.A.D.

These letters stand for the steps to help use switch from a mixed number to an improper fraction

Step one: First we
the denominator by the

Step two: Then we add our product to the

Step three: Finally our
stays the same



Word Choices:

numerator, denominator, multiply, whole number

Answer:

0.2222 = 22.22% probability of earning exactly 5 points.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Possible outcomes:

For the pair of dice:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)

(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)

(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)

(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

So 36 total outcomes.

If the sum is between 6 and 9, inclusive, the amount of points awarded is the sum minus 3.

Sum of 8 -> 5 points awarded. So

(2,6), (3,5), (4,4), (5,3), (6,2): 5 outcomes.

If the sum is between 10 and 12, inclusive, the amount of points awarded is the sum minus 5.

Sum of 10 -> 5 points awarded. So

(4,6), (5,5), (6,4): 3 outcomes.

Desired outcomes:

5 + 3 = 8

Calculate the probability of earning exactly 5 points.

\(p = \frac{D}{T} = \frac{8}{36} = 0.2222\)

0.2222 = 22.22% probability of earning exactly 5 points.

Answer:

-30

Step-by-step explanation:

-36+6=k

-30=k

k= -30

Answer:

y = \(\sqrt{55}\)

Step-by-step explanation:

using the Altitude- on- Hypotenuse theorem

(altitude)² = product of parts of hypotenuse

then

y² = 11 × 5 = 55 ( take square root of both sides )

y = \(\sqrt{55}\)

The amount of wallpaper that Tomlin remove is 20m²

To determine the amount of wallpaper, we need to know the area.

The formula that is used to calculate the area of a rectangle is expressed as;

A = lw

Such that the parameters of the formula are given as;

Now, substitute the values given in the question, we have;

Area = 5(4)

expand the bracket, we get;

Area = 20m²

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Answer:

See below for answers and explanations

Step-by-step explanation:

Part A:

Check conditions for a 2-sample t-interval:

Random sample? √

Is the sample size no more than 10% of the population? √

Are both samples approximately normal? √

Construct the 95% confidence interval:

On a TI-84, click on "Stat", scroll to "Tests", and select "2-SampTInt". Put your data into 2 lists and set C-Level to be 0.95 to represent a 95% confidence level. Make sure the data isn't pooled, and press "Calculate" to obtain your results. You will see that the 95% confidence interval for the difference between the mean scores for the two types of instruction is {-6.042,8.1175}

Part B:

The confidence interval does not contradict the claim because 0 is contained within the 95% confidence interval, so it is quite possible that there is no difference between the mean scores for the two types of instruction.

Answer:

0.5 = 0.500

Step-by-step explanation:

Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.

0.5 = 0.500

Answer:

4 units right, 2 units up

Step-by-step explanation:

For \(g(x)=(x-4)^2+2\), the graph of \(f(x)=x^2\) would need to move 4 units to the right and 2 units up. Hence, the vertex would be \((4,2)\) if we compare the function g(x) with the form \(y=a(x-h)^2+k\).

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3500\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases}\)

\(A=3500\left(1+\frac{0.02}{1}\right)^{1\cdot 5}\implies A\approx 3864.28~\hfill \underset{earned~interest}{\stackrel{3864.28~~ - ~~3500}{\approx 364.28}}\)

The slope of the tangent line if f(x) = 3 - 4x at x = 2 is given as follows:

m = -4.

The slope of the tangent line to a function f(x) at x = a is given by the numeric value of the derivative at x = a, hence:

f'(a).

The function for this problem is given as follows:

f(x) = 3 - 4x.

Hence the derivative of the function is given as follows:

f'(x) = -4.

Meaning that the numeric value of the derivative at x = 2 is given as follows:

f'(2) = -4.

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Answer: 70%

Step-by-step explanation:

0.7
----- x 100% = 70%

 1

Answer:

70%

Step-by-step explanation:

When turning a decimal into a percent always bring the decimal point two places to the right.

0.7.0.

070%

70%

Answer:

8 miles

Step-by-step explanation:

At a rate of 2 miles in 10 minutes, in 40 minutes he can run 8 miles.

2 / 10 == x / 40

x == (40 * 2) / 10

x == 8

Cheers.

Answer:

Step-by-step explanation:

8

(1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.

Given are the polynomials,

1) x² - 2 x - 8

Factors = (x+2)(x-4)

2) x² + 2 x - 8

Factors = (x-2)(x+4)

3) x²-2x-4 = There will be no integral root.

4) x²+2x-4 = There will be no integral root.

Hence the (1) x² - 2 x - 8 and Option (2) x² + 2 x - 8 are two polynomials which has been factored.

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Answer:

Step-by-step explanation:

To find the area of the shaded region, we need to first find the x-coordinates of the points where the two functions intersect. We can set f(x) = g(x) and solve for x:

x^4 - 12x^3 + 48x^2 = 44x + 105

x^4 - 12x^3 + 48x^2 - 44x - 105 = 0

We can use a numerical method, such as the Newton-Raphson method, to approximate the roots of this equation. Using a graphing calculator or computer algebra system, we can find that the roots are approximately:

x = -1.932, x = 0.695, x = 4.149

Note that the root x = -1.932 is outside the given interval [3, 4], so we can ignore it.

The shaded region is bounded by the x-axis, the line y = 340, and the graphs of f(x) and g(x) between x = 3 and x = 4. To find the area of this region, we can integrate the difference between the two functions over this interval:

A = ∫3^4 [g(x) - f(x)] dx

A = ∫3^4 [44x + 105 - (x^4 - 12x^3 + 48x^2)] dx

A = ∫3^4 [-x^4 + 12x^3 - 48x^2 + 44x + 105] dx

We can integrate term by term using the power rule:

A = [-x^5/5 + 3x^4 - 16x^3 + 22x^2 + 105x]3^4

A = [-1024/5 + 192 - 192 + 22 + 105] - [-81/5 + 108 - 192 + 66 + 105]

A = 347.2

Therefore, the area of the shaded region is approximately 347.2 square units.

Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

Answer:

A

Step-by-step explanation:

ita a bc i know its I did this before

Step-by-step explanation:

1) when x= 1/5

y = 1/5 + 1/2

y = 7/10

2) when x= 1/4

y = 1/4 + 1/2

y= 3/4

3) when x= 1/3

y = 1/3 + 1/2

y = 5 /6

Answer:

20 marbles total...7 are green

Step-by-step explanation:

probability on first draw is 7/20...and since the marble was not replaced, the probability on the second draw is 6/19. And since they cant happen at the same time, we multiply

7/20 * 6/19 = 42/380 which reduces to 21/190

Answer:

Numbers are not right

.......

Answer:

2080

Step-by-step explanation:

Answer:

x=60 degrees

Step-by-step explanation:

All triangles equal to 180 degrees. 180-30=150-90=60

Answer:

MO, NO, MN

Step-by-step explanation:

Answer:

the lengths from shortest to longest is: m, o, n.

Answer:

None of the above

The answer is 572

Step-by-step explanation:

Hope this helps! :)

Answer:

1332

Step-by-step explanation:

please tell me if wrong

Answer:

its too donk

Step-by-step explanation:

alright ill go open up the shades

Answer:

1.029 is greater than 1.0275

Step-by-step explanation:

Answer:

1.029

Step-by-step explanation:

What is greater 1.0275 or 1.029

.027 < .029

So, 1.029 is greater.

Answer:

Use trigonometry

Choice A

Choice D

Answer:

the person above me is correct i said that because i did the math and solved it

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

Answer:

the equation 10 = x - y

Step-by-step explanation:

Let x represent the initial value of the investment, and let y represent the amount of money that each person receives after the investment is withdrawn.

We know that the cost of withdrawing the investment is $10, so we can write the equation 10 = x - y. We also know that each person receives $40, so we can write the equation y = 40.

We can now solve for x by substituting the value of y into the first equation. Since y = 40, we can substitute 40 for y in the equation 10 = x - y to get 10 = x - 40. Solving this equation for x, we find that x = 50.

Therefore, the initial value of the investment was $50.

Answer:

  There are 2 nickels and 6 dimes.

Step-by-step explanation:

Nickels:  x

 Dimes:  y

Constraints:

  0.05x + 0.10y = 0.70

   x + y = 8                   ===>  -0.05 * (x + y = 8)  ===>   -0.05x - 0.05y = -0.4

Add the two equations to eliminate x variable:

  0.05x + 0.10y = 0.70

 -0.05x - 0.05y = -0.4

_________________

                0.05y = 0.3         ===>    y = 6

Substitution to find x:

  x + y = 8

  x + 6 = 8

  x = 2

There are 2 nickels and 6 dimes.

There are 2 nickels and 6 dimes.

Two or more expressions with an Equal sign is called as Equation.

Given,

Aaron has $0.70 worth of nickels and dimes.

total of 8 nickels and dimes altogether

We need to find the number of nickels and number of Dimes

Let Nickels be x and  Dimes be y

By given conditions

0.05x + 0.10y = 0.70

x + y = 8-0.05x - 0.05y = -0.4

Add the two equations to eliminate x variable:

0.05x + 0.10y -0.05x - 0.05y = 0.70 -0.4

0.05y = 0.3

Divide both sides by 0.05

y = 6

Substitution to find x:

x + y = 8

x + 6 = 8

x = 2

Hence, there are 2 nickels and 6 dimes.

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Answer:

look at the picture I sent