Last year I had 37 students in my Pre-Algebra classes. This year I have 22. What is the percent decease in the amount of students I have this year?

The probability that the proportion of overweight or obese children in the sample will be greater than 0.57 is less than 50%.

The first paragraph summarizes the answer, stating that the probability is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.

In the second paragraph, we can explain the reasoning behind this conclusion. The Central Limit Theorem states that for a large sample size, the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution. In this case, the sample was taken in a way that meets the conditions for using the Central Limit Theorem.

Since the population proportion of overweight or obese children is 0.60, any sample proportion below this value is more likely to occur. Therefore, the probability of obtaining a sample proportion greater than 0.57 would be less than 50%. This is because the resulting z-score, which measures how many standard deviations the sample proportion is away from the population proportion, would be negative.

To summarize, the probability of the proportion of overweight or obese children in the sample being greater than 0.57 is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.

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The value of x in this isosceles triangle is equal to: D. 50.

In Mathematics and Geometry, an isosceles triangle simply refers to a type of triangle with two (2) sides that are equal in length and two (2) equal angles.

This ultimately implies that, an isosceles triangle comprises two (2) side lengths that are equal and two (2) angles with the same magnitude.

In isosceles triangle ABC, side DE intersects its congruent sides and is parallel to side AB. Therefore, there are two sides that are congruent (equal) and as such we have;

(54 - 2x)° = (3x + 4)°

3x - 2x = 54 - 4

x = 50

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The formula for a confidence interval for a population proportion, p is;Upper bound: $$\hat{p} + z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$$Lower bound: $$\hat{p} - z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$$Where;$$\hat{p} = \frac{x}{n}$$Where; $x$ is the number of success and $n$ is the sample size.

Therefore, if $$\hat{p} = \frac{x}{n}$$Hence, $$\hat{p} = \frac{195}{195+162} = 0.546$$And, $$n = 195 + 162 = 357$$The value of $z_{\alpha/2}$ for 90% confidence is 1.645 (refer the table below).z1-a2α/2 0.0050.0100.0250.050.10.20.50.1 0.00 1.96 1.645 1.282 1.645 1.645 1.282 1.645 1.282 The confidence interval for the population proportion p is;Upper bound: $$\hat{p} + z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$$$$= 0.546 + 1.645\sqrt{\frac{0.546(1-0.546)}{357}}$$$$= 0.546 + 0.062$$$$= 0.608$$Lower bound:$$\hat{p} - z_{\alpha/2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$$$$= 0.546 - 1.645\sqrt{\frac{0.546(1-0.546)}{357}}$$$$= 0.546 - 0.062$$$$= 0.484$$

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There are 120 quarters if Norman has a total of 72 dimes option (D) 120 if there are 3 dimes for every 5 quarters.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Norman has a coin collection. There are 3 dimes for every 5 quarters in his collection.

3 dimes → 5 quarters

72 dimes →  x quarters

x = (5x72)/3

x = 120 quarters

Thus, there are 120 quarters if Norman has a total of 72 dimes option (D) 120 if there are 3 dimes for every 5 quarters.

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Answer:

120

Step-by-step explanation:

The expression of the solution of the given quadratic equation is gotten as; x = 5 ± 2√3

We want to find the solution to the quadratic equation given as;

x² - 10x + 13 = 0

We will use the quadratic formula to get;

x = [-b ± √b² - 4ac]/2a

x = [-(-10) ± √(-10)² - 4(1 × 13)]/2(1)

x = 5 ± (√48)/2

x = 5 ± (4√3)/2

x = 5 ± 2√3

Thus, the solution is x = 5 ± 2√3

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Answer:

y = 10x - 8

Step-by-step explanation:

The slope is "m", or how much the y-value changes on a line when the x-value changes by one.

The y-intercept is the y value of the line when it is intersecting the y-axis, or when the x-value is 0.

To find the slope, take 2 points from the graph and plug into the slope formula:

\(\frac{y_2-y_1}{x_2-x\\_1}\)

I'll use (0, -8) and (1,2).

Plug into the formula.

\(\frac{2--8}{1-0}\)

\(\frac{10}{1}\)

10

Slope = 10

To find the y-intercept, look at the table. What is the y-value when the x-value is equal to 0?

-8

y-intercept: -8

Slope-Intercept form:

y = mx + b

m: slope

b: y-intercept

y, x: leave as variables

y = 10x - 8

Answer:

b.

$81.25

Step-by-step explanation:

taking it rn

Answer:

b 81.25

seen it on quizlet

Step-by-step explanation:

Answer:

\(m=\frac{e}{c^{2} }\)

Step-by-step explanation:

\(e=mc^{2}\)

\(m=\frac{e}{c^{2} }\)

I don't know how to explain this but here you go.

Answer:

m refers to the invariant mass

Step-by-step explanation:

Answer:

-16x² + 10x - 14.

Step-by-step explanation:

To find the composition of two functions, (f g)(x), we first evaluate g(x) and then substitute the result into f(x).

So, let's first evaluate g(x):

g(x) = 8x² - 5x + 7

Next, substitute g(x) into f(x):

(f g)(x) = f(g(x)) = f(8x² - 5x + 7) = -2(8x² - 5x + 7) = -16x² + 10x - 14

Therefore, (f g)(x) = -16x² + 10x - 14.

The solution to the system of equations is (4, 4)

The system of equations is given as:

3x - y = 8

x - 2y = -4

Multiply the first equation by 2

6x - 2y = 16

Subtract this equation from the second equation above

6x - x = 16 + 4

Evaluate

5x = 20

Divide

x = 4

Substitute x = 4 in 3x - y = 8

3(4) - y = 8

Evaluate

12 - y = 8

Solve

y = 4

Hence, the solution to the system of equations is (4, 4)

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Answer:

A) The percent increase is by 30%.

B) for the original price = 15%.

B2.0) for the existing price (39) = approximately 11.54%.

Step-by-step explanation:

A) First, we divide 30 by 100. The result is the amount that 1% would be(0.3). If you multiply it by 30(which will become 30%) it will be 9. And from 30-39 is 9.

B) First we divide 30 by 100. The result is the amount that 1% would be(0.39). then if you multiply it by 11.54(which will become 11.54%) it will be 4.50(approximately because it actually is 4.5006 and there is no amount that ends up in 4.50). But if you are asking what percentage from the original cost(30) it would be 15% of it(because 0.3 * 15 = 4.50).

The distance traveled by the particle from t=0 to t=2 is e^2 - 1 units.

The particle moves in a straight line with velocity v(t) = e^t. To find the distance traveled by the particle from t=0 to t=2, we need to find the displacement of the particle in that time interval.

The displacement of the particle is given by the integral of the velocity function from t=0 to t=2:

∫v(t)dt = ∫e^tdt

Using the fundamental theorem of calculus, we can find the antiderivative of the velocity function and evaluate it at t=2 and t=0:

∫e^tdt = e^t |^2_0 = e^2 - e^0

The displacement of the particle from t=0 to t=2 is e^2 - e^0 = e^2 - 1.

Therefore, the distance traveled by the particle from t=0 to t=2 is e^2 - 1 units.

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Answer:

infinitely many solutions

Step-by-step explanation:

Reduce the second equation by dividing all three terms by 3:  y + 1 = 2x.  Then compare this result to the first equation 2x - y = 1.  Noe that these two equations are identical.  Thus, the two lines coincide.  There are "infinitely many solutions."

Answer:

okay so Y can be 6

and x can be 3

Step-by-step explanation:

so first 2*x=y

the most most likely answer will be y is 6 and x is 3 because

5*3=15

y=6

15-6=9

so x is 3 and y is 6

Answer:

C: 95.9%

Step-by-step explanation:

To find this, we shall be using the cumulative binomial probability calculator

As we know, the probability of getting a head or a tail in a throw of a coin is same with a value of 0.5

So, we want to find the probability of getting tails 50 times or fewer which means the probability of getting at most 50 tails

So we have the parameters as follows;

P( x ≤ 50)

n = number of trials = 85

p = probability of success = 0.5

r = number of success = 50

Using the parameters in the cumulative binomial probability calculator, we have the value as ;

0.9589 = 95.9%

Answer:

answering so the guy above gets brainliest

The solution is, Dobson have to repay B. $17,600.

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

The bank grants Marcus Dobson a loan for $22,000 with an APR

of 10 percent.

He agrees to a down payment of 20 percent and will repay the loan over 24 months.

so, he paid = 22000*20%

                  = $4400

so, remained loan = $ 17600

using the formula of interest , we get,

he has to repay with interest = $ 17600* 10%* 2 + $ 17600

                                                 =$ 3520 + $ 17600

                                                  =$ 21120

Hence, The solution is, Dobson have to repay B. $17,600.

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Answer:

\(50x < 330 + 30x\)

Step-by-step explanation:

Given

Helen:

\(Base\ Amount = \$330\)

\(Weekly = \$30\)

Vince:

\(Base\ Amount = \$0\)

\(Weekly = \$50\)

First, we need to determine Helen's and Vince's balance at x weeks.

\(Balance = Base\ Amount + Weekly\ Earnings * x\)

For Helen:

\(Balance = 330 + 30 * x\)

\(Balance = 330 + 30x\)

For Vince:

\(Balance = 0 + 50 * x\)

\(Balance = 50x\)

As an inequality, we have:

\(Helen > Vince\)

\(330 + 30x > 50x\)

Reorder

\(50x < 330 + 30x\)

Answer:

This function doesn't have zeros because it doesn't touch the x-axis.

EDIT: I didn't see the negative sign before the 3. The function crosses the x-axis at (-5,0) and (5,0). Sorry!

Answer:

17.83 boxes

Step-by-step explanation:

Lets represent the number of boxes of books that can be brought up per time = x

From the question: The delivery person weighs 170lb and each box of books weighs 60 lb. The maximum capacity of the elevator is 1240lb.

Hence we have the Algebraic Expressions

170lb + 60 × x = 1240lb

170lb + 60x = 1240lb

Collect like terms

60x = 1240lb - 170lb

60x = 1070lb

x = 1070lb/60

x = 17.833333333

x = 17.83 boxes

Therefore, the delivery person can bring up 17.83 boxes per time

The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.

The given fraction is 13/625.

Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.

Here, the decimal expansion is 13/625 = 0.0208

So, the number of places of decimal are 4.

Therefore, the correct answer is option D.

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The optimal parenthesization for the matrix chain with dimensions <10, 5, 10, 4, 8> is ((M1 x (M2 x M3)) x (M4 x M5)). The computational complexity is O(n^3) and the real cost depends on the dimensions and order of multiplication of the matrices involved.

Matrix Chain Multiplication Algorithm:

Let's denote the sequence of dimensions as D = <10, 5, 10, 4, 8>. We define two matrices: M, for storing the minimum number of scalar multiplications, and S, for storing the optimal split positions.

a) Initialize the matrices M and S with appropriate dimensions based on the size of the sequence D.

b) Set the diagonal elements of M to 0 since multiplying a single matrix requires no scalar multiplications.

c) Perform a bottom-up evaluation of M and S, filling in the values based on the recurrence relation:

M[i, j] = min{M[i, k] + M[k+1, j] + D[i-1] * D[k] * D[j]}, for i ≤ k < j

The optimal parenthesization can be obtained by backtracking through the S matrix.

Optimal Parenthesization for the given sequence D = <10, 5, 10, 4, 8>:

After applying the matrix chain multiplication algorithm, the optimal parenthesization is as follows:

((M1 x (M2 x M3)) x (M4 x M5))

Computational Complexity and Real Cost:

The computational complexity of calculating the matrix chain product using the optimal parenthesization depends on the size of the matrix chain. In the matrix chain multiplication algorithm, we have to fill in the entries of the M and S matrices, which takes O(n^3) operations, where n is the number of matrices in the chain.

The real cost of calculating the matrix chain product involves performing scalar multiplications and additions. The number of scalar multiplications required is equal to the minimum number of scalar multiplications stored in the M matrix, i.e., M[1, n-1]. The real cost can be calculated by summing the products of the dimensions of the matrices involved in the optimal parenthesization.

For example, if we have three matrices with dimensions A[10x5], B[5x10], and C[10x4], and the optimal parenthesization is (A x B) x C, then the real cost is (10510) + (10104) = 500 + 400 = 900.

In general, the real cost of calculating the matrix chain product depends on the dimensions and the order of multiplication of the matrices involved.

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Answer:

a) 66

Step-by-step explanation:

Answer: 69 degrees

Step-by-step explanation:

A right angle is 90 degrees. 90-21=69

To get System B from System A, you can replace one equation with a multiple of the other equation. Specifically, you can multiply the second equation of System A by 2 and then replace the first equation with the result. So the correct answer is A.

Since we obtained System B by performing a valid operation on System A, the two systems are equivalent and have the same solution. So the correct answer is A. Yes, they have the same solution

Answer:

x = 38.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opposite/ adjacent

tan x = 8/10

Take the inverse tan of each side

tan ^-1 ( tan x) = tan ^-1 (8/10)

x = tan ^-1 (8/10)

x =38.65980825

To the nearest tenth

x = 38.7

(not my answer, cr wegnerkolmp2741o on brainly. i just saw that this wasn't answered properly and saw that a diff post with the same question was already answered)

Answer:

1- c:25

2-cant help

3- A:2,8

4-cant help

Usando medidas proporcionales, se encuentra que tardarán 50 días en construila.

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El voluma de agua es directamente proporcional a el número de días, el número de horas diárias y a el número de obreros, o sea:

\(V = kdho\)

En que k es la constant de proporcionalidad.

De esto, encuentra-se el valor de k.

\(V = kdho\)

\(80000 = k(40)(10)(15)\)

\(6000k = 80000\)

\(k = \frac{80000}{6000}\)

\(k = 13.33\)

O sea

\(V = 13.33dho\)

\(V = 13.33dho\)

\(40000 = 13.33d(6)(10)\)

\(d = \frac{40000}{60 \times 13.33}\)

\(d = 50\)

Tardarán 50 días en construila.

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