Point A is on circle O. Which statement is NOT true? * A. There are many tangent lines that contain point A. B. There is exactly one diameter that contains point A. C. There are many chords of the circle that contain point A. D. Segment OA is a radius of the circle.

The minimum score that the university should accept to admit the top 85% of applicants is 85.4.

To find the minimum score that the university should accept to admit the top 85% of applicants,

we have to use percentile rank.

The percentile rank tells us the percentage of test takers who scored lower than a particular score.

To determine the minimum score,

we have to find the score at which 85% of the applicants scored lower. To do this, we can use the inverse of the cumulative distribution function (CDF) of the distribution of scores.

Assuming a normal distribution of scores, we can use the formula,

⇒ Z = InvNorm(0.85)

where InvNorm is the inverse normal distribution function, and 0.85 is the percentile rank.

The value of Z tells us how many standard deviations above the mean the score is.

We can then use the formula,

⇒ X = Zσ + μ

where X is the minimum score,

σ is the standard deviation of the distribution of scores,

and μ is the mean.

For example, let's say the mean score is 75 and the standard deviation is 10. Then,

⇒ Z = InvNorm(0.85)

       = 1.04

⇒ X = 1.04 x 10 + 75

       = 85.4

Therefore, the minimum score that the university should accept to admit the top 85% of applicants is 85.4.

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Both np and n(1-p) are greater than or equal to 10, so a normal model is a good fit for the sampling distribution of sample proportions. So, the correct answer is 30.

A normal model is a good fit for the sampling distribution of sample proportions when the sample size is at least 10, and the condition n*p ≥ 10 and n*(1 - p) ≥ 10 are both satisfied.

The question states that college graduates are randomly sampled from public universities, and the proportion in the sample with student loans is determined. It then asks for which of the following sample sizes is a normal model a good fit for the sampling distribution of sample proportions.

The sample sizes are 10, 20, and 30.

Using the formula np and n(1-p) to determine whether a normal model is a good fit for each sample size:

n = 10np = (10)(0.62) = 6.2n(1-p) = (10)(0.38) = 3.8

Neither np nor n(1-p) is greater than or equal to 10, so a normal model is not a good fit for the sampling distribution of sample proportions.

n = 20np = (20)(0.62) = 12.4

n(1-p) = (20)(0.38) = 7.6

np is greater than or equal to 10, but n(1-p) is not, so a normal model is not a good fit for the sampling distribution of sample proportions.

n = 30np = (30)(0.62) = 18.6

n(1-p) = (30)(0.38) = 11.4

Both np and n(1-p) are greater than or equal to 10, so a normal model is a good fit for the sampling distribution of sample proportions.

Therefore, the correct answer is 30.

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Answer: \(7\pi\)

Step-by-step explanation:

The area of the entire circle is \((\pi)(3^{2})=9\pi\)

The area of each of the smaller circles is \((1^{2})(\pi)=\pi\), so their combined area is \(2\pi\).

By subtracting areas, we get the area of the shaded region is \(7\pi\).

bottom was cut off a bit its 4=b

The most appropriate choice for parallelogram will be given by

\(\Delta ABD \cong \Delta CDB\) has been proved

What is a parallelogram?

Parallelogram is a quadrilateral in which each pair of opposite sides are parallel and equal.

There are different properties of parallelogram-

Opposite sides of a parallelogram are equal

Opposite angles of a parallelogram are equal

Diagonals of a parallelogram bisect each other

Here,

AD || BC [Definition of Parallelogram]

\(\angle ADB \cong \angle CBD\) [Alternate interior angle theorem]

AB || CD [Definition of Parallelogram]

\(\angle ABD \cong \angle CDB\) [Alternate interior angle theorem]

\(DB \cong DB\) [DB is the common side]

\(\Delta ABD \cong \Delta CDB\) [ASA axiom]

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Hi,
Theorem 9.11: Law of Cosines says c^2 = a^2 + b^2 - 2ab cos C
Lets make c^2 = x^2
So, x^2 = 20^2 + 13^2 - 2(20)(13) cos 93˚
      x^2 = 400 + 169 - 520 cos 93˚
      x^2 = 569 - 520 cos 93˚
      x^2 = 49 cos 93˚
      √x^2 = 49 cos 93˚
      x = 7√cos(93˚)

I was not sure if that is the answer you were looking for but there you have the last side value.

XD

2x + y = 12 matched with x + 3y = 16

x = 9 - 2y matched with y = 10 + x

y = 11 - 2x matched with 2x - y = 11

4x - 3y = -13 matched with -3x + 3y = 30

x + 2y = 9 matched with x = 5, y = 2

2x + 4y = 20 matched with x = 7, y = 3

To match the systems of equations to their solutions, let's analyze each equation and find the corresponding solution:

System of equations:

2x + y = 12

x = 9 - 2y

y = 11 - 2x

4x - 3y = -13

x + 2y = 9

2x + 4y = 20

Solutions:

A. -3x + 3y = 30

B. x = 2, y = 7

C. x = 5, y = 2

D. x = 3, y = 5

E. y = 10 + x

F. x = 7, y = 3

G. x + 3y = 16

H. 2x - y = 11

I. 2x + y = 11

J. x - 2y = -7

Now, let's match the equations to their solutions:

Equation 2x + y = 12 corresponds to solution G (x + 3y = 16).

Equation x = 9 - 2y corresponds to solution E (y = 10 + x).

Equation y = 11 - 2x corresponds to solution H (2x - y = 11).

Equation 4x - 3y = -13 corresponds to solution A (-3x + 3y = 30).

Equation x + 2y = 9 corresponds to solution C (x = 5, y = 2).

Equation 2x + 4y = 20 corresponds to solution F (x = 7, y = 3).

The remaining equations and solutions are not matched since not all tiles will be used.

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There are Physical,Chemical,Biological factors that limit distribution of biota.

Physical factors such as water temperature, flow rate, and substrate type can limit the distribution of biota. For example, some species of fish can only survive in cold water, while others prefer warmer water.

Chemical factors such as pH, dissolved oxygen, and nutrient levels can also limit the distribution of biota. For example, some species of algae can only grow in water with a high pH, while others prefer water with a low pH.

Biological factors such as competition, predation, and parasitism can also limit the distribution of biota. For example, a species of fish may be limited in its distribution by competition from another species of fish that is better adapted to the same habitat.

The dissolved oxygen level in a river can also affect the distribution of biota, with some species requiring high levels of dissolved oxygen and others being able to tolerate lower levels. The nutrient levels in a river can also affect the distribution of biota, with some species requiring high levels of nutrients and others being able to tolerate lower levels.Predation can also limit the distribution of biota, with some species being more susceptible to predation than others. Parasitism can also limit the distribution of biota, with some species being more susceptible to parasites than others.

By understanding these factors, we can better understand the ecology of rivers and how they can be managed to protect biota.

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Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Answer:

Step-by-step explanation:

Surface Area = 2lh + 2lw + 2hw

2(4 x 4) + 2(4 x 4) + 2(4 x 4)

32 + 32 + 32

Surface Area = 96ft^2

The total cost of producing 8 widgets is $34.

In Mathematics and Geometry, the standard form of a quadratic function is represented by the following equation;

ax² + bx + c = 0

Next, we would create a system of equation by using the data points provided above;

a(2)² + b(2) + c = 16

4a + 4b + c = 16    .....equation 1.

a(4)² + b(4) + c = 18

16a + 4b + c = 18    .....equation 2.

a(10)² + b(10) + c = 48

100a + 10b + c = 48    .....equation 3.

By solving the system of equations simultaneously, the values of a, b, and c are as follows;

a = 1/2

b = -2

c = 18

Therefore, the required quadratic function in standard form is given by;

ax² + bx + c = 0

c(x) = 1/2(x)² - 2x + 18

For the total cost of 8 widgets, we have:

c(8) = 1/2(8)² - 2(8) + 18

c(8) = 1/2 * 64 - 16 + 18

c(8) = 32 - 16 + 18 = 34

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Complete Question:

Widget Wonders produces widgets. They have found that the cost, c(x), of making x widgets is a quadratic function in terms of x. The company also discovered that it costs $16 to produce 2 widgets, $18 to produce 4 widgets, and $48 to produce 10 widgets.

Find the total cost of producing 8 widgets.

Answer:

  19,683

Step-by-step explanation:

You want the 10th term of a geometric sequence with first term 1 and a common ratio of 3.

The n-th term of a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

For a1=1 and r=3, the 10th term is ...

  a10 = 1·3^(10-1) = 3^9 = 19,683

Karl would put 19,683 pennies in the jar on the 10th day.

__

Additional comment

On the 24th day, Karl would be putting into the jar the last of the 288 billion pennies in circulation.

The volume of added pennies on the 10th day is more than 7 liters, bringing the total that day to more than 10 liters. That's a pretty big jar.

Answer:

9

Step-by-step explanation:

We have to solve in order to find out if Sam is correct

Remember PEDMAS:

For Multiplication, division and addition, subtraction, do what appears first left to right

Parenthesis

Exponent

Division

Multiplication

Addition

Subtraction

16 - 18 + (2+1)+2^3

Parenthesis first: 2+1 = 3

16 - 18 + 3 + 2^3

Exponent next: 2^3 = 8

Subtraction (it's on the left) : 16-18 = -2

Addition: -2 + 3 = 1

Addition : 1 + 8 = 9

Sam is not correct, the answer is 9, not 16.

Hope this helps :)

Have a great day!

Answer:

18

Step-by-step explanation:

\(16-18:(2+1)+2^3\)

We must use the BEDMAS rules (Brackets, Exponents, Division, Multiplication, Addition, Subtraction)

We must first calculate what's in the brackets:

\(2 + 1 = 3\)

So the new expression is:

\(16-18:3+2^3\)

Next, we calculate the exponent:

\(2^3 = 8\)

So our expression is now:

\(16-18:3+8\)

Next we divide:

\(18:3 = \frac{18}{3} = 6\)

Our expression is now:

\(16 - 6 + 8\)

Then we subtract:

\(16 - 6 = 10\)

The new expression:

\(10 + 8\)

And finally we add:

\(10 + 8 = 18\)

The modified Reynolds analogy, also known as the Chilton-Colburn analogy, is expressed mathematically as Nu = f * Re^m * Pr^n. It relates the convective heat transfer coefficient (h) to the skin friction coefficient (Cf) in fluid flow. This equation is widely used in heat transfer analysis and design applications involving forced convection.

The modified Reynolds analogy is a useful tool in heat transfer analysis, especially for situations involving forced convection. It provides a correlation between the heat transfer and fluid flow characteristics. The Nusselt number (Nu) represents the ratio of convective heat transfer to conductive heat transfer, while the Reynolds number (Re) characterizes the flow regime. The Prandtl number (Pr) relates the momentum diffusivity to the thermal diffusivity of the fluid.

The equation incorporates the friction factor (f) to account for the energy dissipation due to fluid flow. The values of the constants m and n depend on the flow conditions and geometry, and they are determined experimentally or by empirical correlations. The modified Reynolds analogy is widely used in engineering calculations and design of heat exchangers, cooling systems, and other applications involving heat transfer in fluid flow.

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Answer:

8 - 5i

Step-by-step explanation:

2 + √-25 x 4 - √-100

2 x 4 + √-25 - √-100

8 + 5i - 10i

8 - 5i

Answer:

2x=6

Step-by-step explanation:

The learning rate in gradient descent determines the step size and should be not too small or too large, as it can cause the algorithm to converge slowly or overshoot the minimum; adjusting the value of the learning rate can fix the problem, but the optimal value depends on the problem and data set.

According to the given information:

When running gradient descent,

The learning rate α determines the step size taken in each iteration toward the optimal solution.

If α is too small, the algorithm will take small steps and will converge slowly, or may even get stuck in a local minimum.

If α is too large, the algorithm may overshoot the minimum and diverge, or bounce back and forth without converging.

In the scenario described, the learning rate α of 0.5 appears too large, causing J(θ) to increase over time.

This suggests that the algorithm is not converging and is overshooting the minimum.

To fix this,
The value of α can be adjusted by reducing it to a smaller value,

Such as 0.1 or 0.01.

This should allow the algorithm to take smaller steps towards the minimum and eventually converge to a lower value of J(θ).

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The minimum value and median are used in the five-number summary.

A box and whisker plot displays a "box" with its left edge at Q₁, right edge at Q₃, "center" at Q₂ (the median), and "whiskers" at the maximum and minimum.

Given:

A five-number summary.

That means minimum value, lower quartile (Q1), median value (Q2), upper quartile (Q3), and maximum value.

From the given choices:

The minimum value and median are the required measures.

Therefore, the minimum value and median are the required measures.

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━━━━━━━☆☆━━━━━━━

▹ Answer

30 miles

▹ Step-by-Step Explanation

Multiply mph by hours:

15 mph * 2 hrs = 30 miles

Hope this helps!

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━━━━━━━☆☆━━━━━━━

Answer:

The factors of 24 are 24, 12, 8, 6, 4, 3, 2, 1

The factors of 32 are 32, 16, 8, 4, 2, 1.

Step-by-step explanation:

Answer:

24: 1, 2,3,4,6,8,12,24

32: 1, 2 ,4, 8, 16,32

Step-by-step explanation:

Answer: D, x < 8

Step-by-step explanation: Subtract 18 from both sides.

Simplify the expression

Subtract the numbers

Subtract the numbers

Divide both sides by the same factor, and flip the relation because the factor is negative

Cancel terms that are in both the numerator and denominator

Divide the numbers

−6x+18−18>−30−18=

=x<8

Answer:

1. 9 feet

2. The ground

3. Absolute values of opposite numbers are the same

Step-by-step explanation:

Given

Distance up the apple tree = 9 feet up

Solving (a): How far he'll climb to come down

In this case, the distance from the ground up to the tree is the same distance back to the ground.

In other words;

Since he climbs 9 feet up, then he'll climb 9 feet down to the ground

Solving (b): What 0 represents

In this case, 0 represents the ground

Solving (c): Absolute values

The absolute values of opposite numbers (from negative to positive) are the same

Take for instance:

\(|-9| = 9\)

\(|-3| = 3\)

And so on...

Answer:37.68

Step-by-step explanation:

first we know the radius is 6 and to find the circumference of a circle you do 2πr and we can plug 3.14 into π and 6 for the radius to it would be 2*3.14*6=12*3.14=37.68

The number of ways is 432

From the question, we have

Each number has a different color from each of its proper divisors.

number of ways = 3*2*1*3*3*2*2*2

=432

Multiplication:

Mathematicians multiply two or more numbers to determine the sum of the parts. It is a fundamental mathematical procedure that is commonly used in real-world situations. Multiplication is used when groups of like sizes need to be combined. Multiplication is a mathematical operation that illustrates the fundamental idea of adding the same number again. The product of two or more numbers is what occurs from multiplying them, while the components are the quantities that are multiplied. Multiplying the numbers makes it simpler to repeatedly add the same quantity.

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Answer:

0.11 centimeters/minute

The magnitude of the correlation coefficient indicate the "strength" about the variables.

In the financial and investing industries, correlation is a statistic which indicates the extent that two securities change in relation to one another.

Correlations are employed in advance portfolio management and are calculated as correlation coefficient, that must be between -1.0 and +1.0.

Some key features regrading correlation are-

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Answer:

4x - 27

Step-by-step explanation:

x + 8 + 3x + 10 - 45

= 4x - 27