Ginger buys lunch at school every day. She always gets pizza when it is
available. The cafeteria has pizza about 80% of the time.
Ginger runs a simulation to model this using a random number generator. She
assigns these digits to the possible outcomes for each day of the week:
• Let 0 and 1 = no pizza available
• Let 2, 3, 4, 5, 6, 7, 8, and 9 = pizza available
The table shows the results of the simulation,
08458 47165 68194 88490 01841
43226 12924 52568 93039 39406
What is the estimated probability that Ginger will eat pizza for lunch every day
next week?
A. 0.0
B. 0.2
C. 0.4
D. 0.8

Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

The area of a rectangle is given by the formula A = lw, where l is the length of the rectangle and w is the width. Therefore, to find the dimensions of the rectangle, we can set up the equation 4p² + 12p = lw.

To solve this equation, we can first distribute the 4p² on the left side of the equation to get 4p² + 12p = 4p²l + 12pw. Then, we can rearrange the terms to get 12pw - 4p²l = 0.

To solve this equation for w, we can divide both sides by 4p(p - l), which gives us w = 3l/4p.

Therefore, the dimensions of the rectangle are l and 3l/4p. You can choose any value for l and then use the equation above to find the corresponding value for w. For example, if you choose l = 4, then w = 3(4)/4p = 3/p.

To draw, first, decide on a value for the length of the rectangle, l. Then, use the equation w = 3l/4p to calculate the corresponding value for the width of the rectangle, w.

Next, use the ruler or straight edge to draw two straight lines that are perpendicular to each other, forming the sides of the rectangle. The length of the rectangle should be equal to l, and the width of the rectangle should be equal to w. Make sure to label the length and width on your drawing.

Answer:

1. s=gfcgj sdgc

gzgixxhcxc

vxtuixzdfhvxxgjknn

jfhujhgcxvjkmvcghj

mvhuiknbb5542698755

8423675369

8823

The vector equation for the intersection of the two planes is given by:

9i + 36j - 24k.

Suppose that we have two planes, defined as follows:

The vector equation for the intersection between these two places is given by the determinant of the following matrix:

\(\left[\begin{array}{ccc}i&j&k\\a&b&c\\d&e&f\end{array}\right]\)

For this problem, the planes are:

Hence the matrix of which we have to find the determinant is:

\(\left[\begin{array}{ccc}i&j&k\\0&6&9\\4&3&6\end{array}\right]\)

The determinant of the 3 x 3 matrix is given by:

D = i x  6 x 6 + j x 9 x 4 + k x 0 x 3 - (k x 6 x 4 + j x 0 x 6 + i x 9 x 3).

D = 36i + 36j - (24k + 27i)

D = 36i + 36j - 24k - 27i

D = 9i + 36j - 24k.

Which is the vector equation.

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Answer:

Before a variable there is no coefficient.

There is an invisible 1 infront bc there is no real number. so the 1 appears.

Given:

The function is:

Find-:

The value of "x" is:

Explanation-:

The value of "x" is:

The graph of f(x) ,

Graph is:

The graph of g(x) is:

Graph is:

The combined graph is:

The value of "x" is:

When x = 1 then f(x) = g(x)

Answer: 3,633

Step-by-step explanation: 8,477 - 4,844 = 3,633

Answer:

9

Step-by-step explanation:

In Order to gain the mean you would follow the formula:

Total Sum of all Numbers added together / Amount of integers.

In this case, you have 5 numbers 1, 3 , 5 , 2 , x .

I know that the overall sum of all your integers added together must equal 20, as 20 / 5 = 4.

1 + 3 + 5 + 2 = 11.

Therefore x must be 9.

1 + 3 + 5 + 2 + 9 = 20

20 / 5 = 4.

Hope this helps and mark as brainilest if found useful.

Answer:

3(4+n)

Step-by-step explanation:

Answer:

We conclude that a compact microwave oven consumes a mean of more than 250 W.

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W with a population standard deviation of 15 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let \(\mu\) = mean power consumption for microwave ovens.

So, Null Hypothesis, \(H_0\) : \(\mu\) \(\leq\) 250 W     {means that a compact microwave oven consumes a mean of no more than 250 W}

Alternate Hypothesis, \(H_A\) : \(\mu\) > 250 W     {means that a compact microwave oven consumes a mean of more than 250 W}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

                                T.S. =  \(\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }\)  ~ N(0,1)

where, \(\bar X\) = sample mean power consumption for ovens = 257.3 W

            σ = population standard deviation = 15 W

            n = sample of microwave ovens = 20

So, the test statistics  =  \(\frac{257.3-250}{\frac{15}{\sqrt{20} } }\)

                                      =  2.176

The value of z test statistics is 2.176.

Now, at 0.05 significance level the z table gives critical value of 1.645 for right-tailed test.

Since our test statistic is more than the critical value of t as 2.176 > 1.645, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that a compact microwave oven consumes a mean of more than 250 W.

Answer:

\(y=-x+1\)

Step-by-step explanation:

It helps to write the equation in slope-intercept formula to find the slope of an equation in the form: \(y=mx+b\) where "m" is the slope of the equation. We can take the equation given: \(-7x-7y=7\) and solve for "y" to get the equation in slope-intercept form:

\(-7x-7y=7\)

add 7x to both sides:

\(-7y=7x+7\)

Divide both sides by -7

\(y=-x-1\)

Now in this form we can tell that the coefficient of "x" (the m value) is our slope, which is -1. We need this slope to determine a parallel line as parallel lines share the same slope but different y-intercepts. So a general equation for a parallel line would be:

\(y=-x+b\text{ where b }\ne -1\)

We're given the point (-1, 2) and we can use it to solve for that "b" value.

We plug in -1 as x and 2 as y

\(2=-1(-1)+b\implies 2=1+b\implies 1=b\)

Now we just plug this into the general equation to get: \(y=-x+1\)

The inequality on the graph is the third option:

(2/5)*x - 3/2 ≥ y

Let's analyse the graph if the inequality.

We can see that there is a solid linear equation with a positive slope, and the shaded area is below that line, then the inequality is of the form:

y ≤ linear equation.

We know that the symbol "≤" must be used because of the solid line.

We also can see that when x = 0, y takes a velue between -1 and -2.

With that in mind the correct option is the third one:

(4/5)*x - 2y ≥ 3

Isolating y we get:

(4/5)*x - 3 ≥ 2y

(2/5)*x - 3/2 ≥ y

Changing the order:

y ≤ (2/5)*x - 3/2

That is the graphed inequality.

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None of the operations with radicals are correct, as two radical terms can only be added or subtracted if they have the same radical and the same exponent.

Terms with radicals can only be added or subtracted if they have the same radical and same exponent, for example:

\(3\sqrt{2} + 2\sqrt{2} = 5\sqrt{2}\)

In the above example, they have the same radical, of 2, and same exponent, also of 2.

The first example is given by:

\(7\sqrt{3} + 4\sqrt{2} = 11\sqrt{5}\)

The mistake is that the two terms cannot be added, as they have different radicals, of 3 and 2.

The second example is given as follows:

\(3\sqrt[3]{k} - 6\sqrt{k} = -3\sqrt{k}\)

The terms have the same radical, of k, but they have different exponents, of 3 and 2, hence they cannot be subtracted.

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1.6 seconds. The ball will hit the canopy after 1.58 seconds or -1.58 seconds. Since the time cannot be negative, the ball will hit the canopy after 1.58 seconds.

To find the time it takes for the ball to hit the canopy, we need to solve the equation h(t) = 12 for t.

The given equation for h(t) is h(t) = -16t^2 + 52, so we can substitute this into the equation h(t) = 12 to get:

12 = -16t^2 + 52

To solve this equation, we can move all the terms to one side of the equation to get:

-16t^2 + 40 = 0

We can then divide both sides of the equation by -16 to get:

t^2 - 2.5 = 0

We can then use the quadratic formula to solve for t:

t = +/- sqrt(2.5)

t = +/- 1.58

Thus, the ball will hit the canopy after 1.58 seconds or -1.58 seconds. Since the time cannot be negative, the ball will hit the canopy after 1.58 seconds.

Rounding this answer to the nearest tenth gives us 1.6 seconds, so the correct answer is 1.6 seconds.

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I. The solution to the system of equations using Gaussian elimination is x = 1, y = -1, and z = 2.

II. For the LU-decomposition method, we need to have a square coefficient matrix, which is not the case in the given system. Therefore, we cannot directly apply the LU-decomposition method.

III. For this method to converge, the coefficient matrix must be diagonally dominant, which is not the case in the given system. Therefore, the Gauss-Jacobi method cannot be directly applied either.

IV. It requires the coefficient matrix to be diagonally dominant, which is not satisfied in the given system. Hence, the Gauss-Seidel method cannot be directly used.

I. Gaussian Elimination Method:

To solve the system of linear equations using Gaussian elimination, we perform row operations to reduce the system into upper triangular form. The augmented matrix for the given system is:

| 6 2 -1 | 4 |

| 1 5 1 | 3 |

| 2 1 4 |27 |

We can start by eliminating the coefficients below the first element in the first column. To do this, we multiply the first row by a suitable factor and subtract it from the second and third rows to eliminate the x coefficient below the first row. Then, we proceed to eliminate the x coefficient below the second row, and so on.

After performing the necessary row operations, we obtain the following reduced row-echelon form:

| 6 2 -1 | 4 |

| 0 4 2 | -1 |

| 0 0 3 | 6 |

From this form, we can easily back-substitute to find the values of x, y, and z. We have z = 2, y = -1, and x = 1.

II. LU-Decomposition Method:

LU-decomposition is a method that decomposes a square matrix into a product of two matrices, L and U, where L is lower triangular and U is upper triangular.

III. Gauss-Jacobi Method:

The Gauss-Jacobi method is an iterative numerical method to solve systems of linear equations.

IV. Gauss-Seidel Method:

Similar to the Gauss-Jacobi method, the Gauss-Seidel method is an iterative method for solving linear systems.

Therefore, out of the four methods mentioned, only the Gaussian elimination method can be used to solve the given system of linear equations.

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The total estimated number of retirees at the senior center in retirement community in Florida in March  is 1,740.

To estimate the total number of retirees at the senior center in March, round each weekly attendance to the nearest tens place and add them together:

To the nearest tens, we have

First week: 346 ≈ 350

Second week: 412 ≈ 410

Third week: 293 ≈ 290

Fourth week: 689 ≈ 690

Add the estimated values

350 + 410 + 290 + 690

= 1,740

Therefore, the total estimated number of retirees at the senior center in March is 1,740.

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We are given the population and the area of the city and asked to calculate the population density.

Recall that the population density is the calculation that consists of dividing the population by the area. Then, in this case it would be

Then, the population density is 8750 habitants per square mile

Answer:

3(x + 5y) - 2(x + y)

3x + 15y - 2x - 2y

x + 13y

(3x + 15y) + (-2x + -2y)

x + 13y

Answer:

i got 6 sorry if wrong

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

\(\cos(2x)\\=\cos(x+x)\\=\cos(x)\cos(x)-\sin(x)\sin(x)\\=\cos^2(x)-\sin^2(x)\\=\cos^2(x)-(1-\cos^2(x))\\=2\cos^2(x)-1 \,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option D}\\=2(1-\sin^2(x))-1\\=2-2\sin^2(x)-1\\=1-2\sin^2(x)\,\,\,\,\,\,\,\,\,\,\,\leftarrow \text{Option C}\)

Answer:

39.864

Step-by-step explanation:

24*4=96

1827/96

=39.864

Answer:

x = -4/3 and x = 5/2.

Step-by-step explanation:

6x² - 7x = 20

6x² - 7x - 20 = 0

To solve this, we can use the quadratic formula to solve this.

[please ignore the A-hat; that is a bug]

\(\frac{-b±\sqrt{b^2 - 4ac} }{2a}\)

In this case, a = 6, b = -7, and c = -20.

\(\frac{-(-7)±\sqrt{(-7)^2 - 4 * 6 * (-20)} }{2(6)}\)

= \(\frac{7±\sqrt{49 + 80 * 6} }{12}\)

= \(\frac{7±\sqrt{49 + 480} }{12}\)

= \(\frac{7±\sqrt{529} }{12}\)

= \(\frac{7±23 }{12}\)

\(\frac{7 - 23 }{12}\) = \(\frac{-16 }{12}\) = -8 / 6 = -4 / 3

\(\frac{7 + 23 }{12}\) = \(\frac{30}{12}\) = 15 / 6 = 5 / 2

So, x = -4/3 and x = 5/2.

Hope this helps!  

Answer:

Step-by-step explanation:

\(6 {x}^{2} - 7x = 20\)

Move constant to the left and change its sign

\( {6x}^{2} - 7x - 20 = 0\)

Write -7x as a difference

\(6 {x}^{2} + 8x - 15x - 20 = 0\)

Factor out 2x from the expression

\(2x(3x + 4) - 15x - 20 = 0\)

Factor out -5 from the expression

\(2x(3x + 4) - 5(3x + 4) = 0\)

Factor out 3x + 4 from the expression

\((3x + 4)(2x - 5) = 0\)

When the product of factors equals 0 , at least one factor is 0

\(3x + 4 = 0\)

\(2x - 5 = 0\)

Solve the equation for X1

\(3x + 4 = 0\)

Move constant to right side and change its sign

\( 3x = 0 - 4\)

Calculate the difference

\(3x = - 4\)

Divide both sides of the equation by 3

\( \frac{3x}{3} = \frac{ - 4}{3} \)

Calculate

\(x = - \frac{4}{3} \)

Again,

Solve for x2

\(2x - 5 = 0\)

Move constant to right side and change its sign

\(2x = 0 + 5\)

Calculate the sum

\(2x = 5\)

Divide both sides of the equation by 2

\( \frac{2x}{2} = \frac{5}{2} \)

Calculate

\(x = \frac{5}{2} \)

\(x1 = - \frac{4}{3} \)

\(x2 = \frac{5}{2} \)

Hope this helps...

Best regards!!

Answer:

n = 10

Step-by-step explanation:

Step 1: Translate word to math

"product" = multiplication

"3" = 3

"difference" = subtraction

"a number n" = n

"4" = 4

"is" means equal

"eighteen" = 18

Step 2: Combine/set up equation

3(n - 4) = 18

Step 3: Solve for n

Answer:

Step-by-step explanation:

To solve:

I hope this helps!

Answer:

x − 43 = 90

Step-by-step explanation:

2x + 43 = 180

2x − 43 = 90

x + 43 = 180

x − 43 = 90

Answer:

66.390

Step-by-step explanation: 66.389 the 9 is thousandths, it rounds up to 66.390

Answer:

Step-by-step explanation:

Natasha added 13/24 of the bag of soil more than Dina  

Dina added 5/6 of the bag of soil  

Natasha added 11/8 of the bag of soil  

To solve this problem, we will subtract two fractions with unlike denominators.

 to find the quantity of soil did Natasha add than Dina  

= 11/8 - 5/6  

LCM = 24  

33/24 - 20/24  

= 13/24

SORRY THAT ALL  WHAT CAN I  SLOVE

Answer:

Step-by-step explanation:

Answer:

For month 1, the current balance is $2750.00, the interest is $45.38, and the payment is $75.00. The amount applied to principal is $29.62.

For the remaining months, the interest and payment amount will stay the same, but the current balance and amount applied to principal will change based on the previous month's numbers.

Point of view:

Here's your answer but I prefer you to focus and study hard because school isn't that easy. But i'm glad I could help you!

:)