Of all the seventh graders, 70% bought a school lunch yesterday. Ten trials of a simulation were conducted. The data are recorded below.

52461, 65709, 58324, 06381, 94381, 84947, 23046, 33789, 57802, 70633

The numbers 0 through 6 represent students who bought a school lunch yesterday and the numbers 7, 8, and 9 represent students who did not.

Based on the simulated data, what is the probability that 3 or more of the group of students randomly selected will buy the same school lunch the next time it is offered? Enter your answer in simplest form.

Answer:

The total price would be $15.60.

Step-by-step explanation:

30 rolls times $.52 equals 15.6, or 15 dollars and 60 cents.

Answer:

$15.60

Step-by-step explanation:

30 x .52

Answer:

Step-by-step explanation:

Use the form

a

cos

(

b

x

−

c

)

+

d

to find the amplitude, period, phase shift, and vertical shift.

Answer:

The cost of 1 scarf is $12.25 each.

Step-by-step explanation:

No, the equation 2x + 2 = x + 1 has solution which is equal to x = -1.

Mia gave statement for the equation:

Left hand side is double the right hand side implies it has no solution.

2x + 2 = x + 1

Verification for the solution:

Simplify the above equation by subtracting  'x' both the sides we get,

⇒ 2x - x + 2 = x - x + 1

⇒ x + 2 = 1

Now subtract '2' from both the sides of the equations we get,

⇒ x + 2 - 2 = 1 - 2

⇒ x = -1

The above equation has no solution is incorrect statement.

Therefore, the equation 2x + 2 = x + 1 has no solution is wrong statement as the solution is given by x = -1.

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Answer:

27

Step-by-step explanation:

Width = w

length = l

w=1/3 * l

or, l=3w

perimeter=2l+2w=24

2(l+w)=24

2(3w+w)=24

2*4w=24

8w=24

w=3

l=9

Area=3*9=27

The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.

From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"

Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.

In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.

Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.

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Answer:

The first one, third one, fourth one, and sixth one.

Step-by-step explanation:

I hope this helps!

c). 0.060±0.018. is the correct option. The 90% large-sample confidence interval for the difference p 9 −p 12 in the proportions of ninth- and 12 thgraders who ate breakfast daily is about 0.060±0.018.

We are given a confidence interval of 90% for the difference in proportion p9 −p12 of ninth and 12th graders who eat breakfast daily.

We need to find out which of the options is the correct interval.

(a) 0.060±0.011 (b) 0.060±0.013. (c) 0.060±0.018.

The formula for the confidence interval for the difference in proportions p9 − p12 is given by;

$$\left(p_9 - p_{12}\right) \pm Z_{\alpha/2}\sqrt{\frac{p_9(1 - p_9)}{n_9} + \frac{p_{12}(1 - p_{12})}{n_{12}}}$$

Where; $$\alpha = 1 - 0.90 = 0.10, Z_{\alpha/2} = Z_{0.05} = 1.645$$

Now we substitute the given values into the formula to find the interval; $$\begin{aligned} \left(p_9 - p_{12}\right) \pm Z_{\alpha/2}\sqrt{\frac{p_9(1 - p_9)}{n_9} + \frac{p_{12}(1 - p_{12})}{n_{12}}} &= 0.060 \pm 1.645 \sqrt{\frac{(0.21)(0.79)}{568} + \frac{(0.31)(0.69)}{506}}\\ &= 0.060 \pm 0.0174\\ &= \left[0.0426, 0.0774\right] \end{aligned}$$

Therefore, the correct option is (c) 0.060±0.018.

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Answer:

1:6 is the ratio, hope this helps

The value of both methods is the same.Therefore, the Divergence Theorem is verified.

The given function is:F(x, y, z) = 2xi − 2yj + z²kSurface S: Cylinder x² + y² = 16, 0 ≤ z ≤ 6. Hence, we have to verify the Divergence Theorem by evaluating as a surface integral and as a triple integral.We know that,

As the surface is a cylinder, the unit normal vector is given by (x/4, y/4, 0).

Thus, we haveF . dS = (2x, -2y, z²) . (x/4, y/4, 0) dS= (x² + y²)/8 dS

As the surface is a cylinder with the radius of 4 and the height of 6, by using the cylindrical coordinate system for evaluating the flux integral, we get:

∫∫S F . dS= ∫(0 to 6) ∫(0 to 2π) (r²/8) rdrdθ= ∫(0 to 6) [r³/24] (0 to 2π) dθ= 3

Triple Integral Calculation:Let the cylinder be taken as E, whose upper and lower limits are 0 and 6, respectively.

The volume element can be expressed as dV = r dr dθ dz.

For F(x, y, z) = 2xi − 2yj + z²k,

we have to compute ∇ . F.∇ . F = ∂Fx/∂x + ∂Fy/∂y + ∂Fz/∂z= 2 - 2 + 2z= 2z

From Divergence Theorem, we know that

∫∫S F . dS = ∫∫∫E ∇ . F dV= 2∫∫∫E z dV

Now, we will calculate the triple integral as:

∫∫∫E zdV = ∫(0 to 6) ∫(0 to 2π) ∫(0 to 4) z r dz dθ dr= 32π

Therefore, the value of both methods is the same.Therefore, the Divergence Theorem is verified.

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Answer:

32 yards

Step-by-step explanation:

Let's see, the card started out with $20 on it, and ended up with $14.88.

To find how much she spent on ribbon, we can first subtract the 2 amounts:

20-14.88

=5.12

So, Susan spent $5.12 on ribbon.  We also know that each yard of ribbon was $0.16, so we can divide the spent amount ($5.12) by $0.16 to find out how many yards she bought:

5.12/0.16

=32

So, Susan bought 32 yards of ribbon.

Hope this helps :)

The linearized equation for the non-linear equation z = x² + 4xy + 6xy² in the region defined by 8 ≤ x ≤ 10, 2 ≤ y ≤ 4 is given by :

z ≈ 244 + 20(x - 8) + 128(y - 2).

When using the linearized equation to calculate the value of z at x = 8, y = 2, the error is 0.

1.1. To linearize the equation in the given region, we need to find the partial derivatives of z with respect to x and y:

∂z/∂x = 2x + 4y

∂z/∂y = 4x + 6xy

At the point (x₀, y₀) = (8, 2), we substitute these values:

∂z/∂x = 2(8) + 4(2) = 16 + 8 = 24

∂z/∂y = 4(8) + 6(8)(2) = 32 + 96 = 128

The linearized equation is given by:

z ≈ z₀ + ∂z/∂x * (x - x₀) + ∂z/∂y * (y - y₀)

Substituting the values, we get:

z ≈ z₀ + 24 * (x - 8) + 128 * (y - 2)

1.2. To find the error when using the linearized equation to calculate the value of z at x = 8, y = 2, we substitute these values:

z ≈ z₀ + 24 * (8 - 8) + 128 * (2 - 2)

= z₀

Therefore, the linearized equation gives the exact value of z at x = 8, y = 2, and the error is 0.

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Answer:

For every one pound there are 16 ounces.

Step-by-step explanation:

We can simply see that by dividing the ounces by pounds, 32/2 = 16, and 48/3 = 16.

Number of ounces: 16, 32, 48, 64, 80, 96

Number of pounds:  1, 2, 3, 4, 5, 6

Answer:

\(7b^2-4b+1\)

Reasoning:

A polynomial is said to be in its standard form, if it is expressed in such a way that the term with the highest degree is placed first, followed by the term which has the next highest degree, and so on.

Thus, this will be the polynomial in standard form:

\(7b^2-4b+1\)

Answer:

\(\sf y=\dfrac{54}{6.75}\)  or  \(\sf y=54 \div 6.75\)

(where y is the number of bags made)

Step-by-step explanation:

If Rowan bought a 54 oz bag of jelly beans and divided them into bags that each contained 6.75 oz, to find how many bags were made, divide the total weight of jelly beans by the weight of each bag.

⇒ Number of bags = Total weight ÷ bag weight

                                = 54 ÷ 6.75

                                = 8

Therefore, Rowen made 8 bags.                    

Total weight of jelly beans initially

Each bag contains

So the equation should be

Or

If we solve we get total bags as 8

Step-by-step explanation:

First we need to write down something

X*x+8*x+6*x=240msquares

X2+14x=240

X2+14x-240=0

So now we use discriminant formula

196-4(1*240)=-44

-14-+(root of 44)

_____________. = answer

2

The statement "on the final pass through the selection sorting algorithm two values are brought over from the unsorted list into the sorted list" is false.

To answer your question regarding the selection sort algorithm: On the final pass through the selection sorting algorithm, only one value is brought over from the unsorted list into the sorted list. So, the statement is false.

In a selection sort algorithm, during each pass, the minimum (or maximum, depending on the order) value in the unsorted part of the list is selected and then swapped with the first unsorted value. This process continues until there is only one value left in the unsorted part of the list, which is then automatically considered sorted.

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Answer:

there are 2 daisies

Step-by-step explanation:

The substitution v = y^1-n transforms the Bernoulli equation dy/dx + P(x)y = Q(x)y^n into the linear equation dv/dx+(1-n)P(x)v(x) = (1 - n)Q(x) is shown below.

An equation is in the form  

dy/dx +P(x)y=Q(x)yⁿ,  where P and Q are functions of x alone or constants, is called Bernoulli's equation.

The substitution using \(v = y^{1-n}\)

Differentiate both side with respect to 'x'

\(v^{'} = (1-n)y^{-n}y^{'}\)

\(\frac{dy}{dx} = \frac{1}{1-n} y^{n}v^{'}\)

we get, \(\frac{1}{1-n} y^{n}v^{'}\) + P(x)y = Q(x)yⁿ

= \(v^{'} + (1-n)P(x)y^{1-n} = (1-n)Q(x)\)

using \(v = y^{1-n}\)

The given equation is well expressed as:

\(v^{'} + (1-n)P(x)v = (1-n)Q(x)\)

or dv/dx + (1-n)P(x)v(x) = (1 - n)Q(x)

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Answer:

15² + 4(1/2)(15)(8) = 225 + 240 = 465 cm²

Answer:

Hello! I hope I am correct! (Picture below)

Step-by-step explanation:

Function:

Y=15-2x

The word “decreased” means subtraction & The word “twice” means 2x (2 times)

Therefore, the answer is 15-2x.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Look at picture.

Brainliest would be appreciated!

Hope this helps!

By: BrainlyAnime

Answer:

y=1/2x+2

Step-by-step explanation:

hope it helps ^^

The supporters of the program complain that it is being cut because the increase in spending is not enough to keep up with inflation.

The opponents of the program complain that it is being increased because any additional funding is seen as unnecessary or undeserved.

The supporters of the housing program complain that the program is being cut because they believe that the increase in spending is not enough to keep up with the expected 3% rise in the consumer price index.

They argue that if the spending does not increase at the same rate as the inflation, the program will actually have less purchasing power and be less effective in addressing housing needs.

On the other hand, the opponents of the housing program complain that the program is being increased. They argue that any increase in spending, even if it is not keeping up with the expected rise in the consumer price index, is still an increase compared to the current budget.

They believe that the program should not receive any additional funding or even that the funding should be reduced.

So, to summarize, the supporters of the program complain that it is being cut because the increase in spending is not enough to keep up with inflation.

The opponents of the program complain that it is being increased because any additional funding is seen as unnecessary or undeserved.

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Answer:

12

Step-by-step explanation:

p = -4

3p² - 18(-2 - p)

plug in p

3(-4)² - 18(-2 - (-4))

solve the exponent

3(16) - 18(-2 - (-4))

solve within the parentheses

3(16) - 18(-2 + 4)

3(16) - 18(2)

multiply each expression

48 - 36

subtract

12

If he gets Rupees 3048. 75 at the time of mature, then the rate of interest is   5% per annum.

Let's assume the rate of interest is r (in decimal form) and the total amount invested by Navin is T = 90 x 30 = 2700.

The formula for calculating the maturity value of a recurring deposit is

M = T[ (1+r)n - 1 ] / r

where M is the maturity value, n is the number of months, and r is the rate of interest.

Substituting the given values, we get:

3048.75 = 2700[ (1+r)^30 - 1 ] / r

Multiplying both sides by r and simplifying, we get:

3048.75r = 2700(1+r)^30 - 2700

Dividing both sides by 2700 and simplifying, we get

1.12824r = (1+r)^30 - 1

Using trial and error, we can find that r = 0.05 (i.e. 5%) satisfies the equation to a good approximation.

Therefore, the rate of interest is 5% per annum.

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The answer to this question is none of the given options (A, B, C, D, or E).To find the maximum perimeter of a square that can fit inside a circle of radius 5 cm, we need to consider that the diameter of the circle is equal to the diagonal of the square.

This means that the side of the square will be equal to the radius of the circle multiplied by the square root of 2 (since the diagonal of a square is the side length times the square root of 2).

So, the side length of the square will be 5 cm x √2 = 7.07 cm. And since a square has four sides of equal length, the perimeter of the square will be 4 x 7.07 cm = 28.28 cm.

However, this perimeter is greater than the circumference of the circle with radius 5 cm, which is 2 x π x 5 cm = 31.42 cm. This means that the square cannot fit entirely inside the circle.

Therefore, the answer to this question is none of the given options (A, B, C, D, or E).

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the last one

Step-by-step explanation:

if you start solving and end up with all zero it's infinetly many