Write an equation for a parabola with x-intercepts (-1,0) and (3,0) which passes through the point (1, -20).

Answer:

27x^2

Step-by-step explanation:

since the x^2's the same, keep that ans then just do 17 +10

Step-by-step explanation:

Used desmos, it is a graphing app that is easy to used

Answer:

2500

Step-by-step explanation:

Total spectator 9500

Men 6375

Women and children = 9500-6375= 3125

Women X

Children 4X

If women and children = 3125

4x + X = 3125

5x = 3125

Divide both sides by 5

X = 625

Women 625

Children 625x4 = 2500

The function y = 60 • 3^x models the population growth, where x is the number of 14-year periods.

To find the number of foxes after 42 years, we need to convert 42 years to the number of 14-year periods.

42 years / 14 years/period = 3 periods

So, the number of foxes after 42 years is:

y = 60 • 3^3

y = 60 • 27

y = 1620

Therefore, there will be 1620 foxes after 42 years.

Answer: 1 quarter or 0.25 cents.

Step-by-step explanation: According to the illustration shown, we can infer that the coin we are looking for is for 1 value. So, if we subtract the amount shown (total) from the other coins (pennies in this case), 0.27 - 0.02 = 0.25 which is equivalent to the coin of the quarter (worth $0.25 USD) So, the blanks would look like this:

1 quarters

0 dimes

0 nickles

2 pennies

I hope this helped!

Answer:

the volume is 60 cm cubed

Step-by-step explanation:

(5 x 8) / 2 x 3

5 x 8 = 40

40 / 2 = 20

20 x  3 = 60

Answer:

I think its 60 cm

Step-by-step explanation:

The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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Answer:

42x+6y>24

Step-by-step explanation: im sorry if i am wrong but i belive that is correct

Answer:

I just took the test, and the correct answer is

Step-by-step explanation:

Answer:

Total cost of dinner = P + 0.15p = 23

Step-by-step explanation:

Consider the information provided.

The cost of dinner at a restaurant is $P.

The tip offered for the service was, $0.15p.

The total of the cost of dinner and the tip offered for the service is:

T = P + 0.15p = 23

According to the information, the null hypothesis is that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards. The alternative hypothesis is that more than 70% of the instructor's students have improved their driving distance by at least 20 yards. Based on the data provided, we can evaluate whether the instructor's claim is valid.

Accordign to the information we have to consider that the null hypothesis states that 70% or fewer of the instructor's students have improved their driving distance by at least 20 yards, while the alternative hypothesis suggests that more than 70% have seen such improvement.

According to the above, the claim's validity is assessed by comparing the observed data with the expected outcome under the null hypothesis. In this case, 138 out of 180 viewers reported an improvement. Statistical tests can be conducted to determine if this observed proportion significantly differs from the hypothesized proportion of 70% or fewer.

To conclude, if the test results reject the null hypothesis, there is evidence to support the claim; otherwise, the claim cannot be validated.

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No, the instructor's claim is NOT valid. See   the explanation below.

To   test the hypothesis, we can use a z- test.

z = (p - p₀) / σ

Where

σ = √(p₀(1 - p₀) / n)

where:

Since p  =138/180

= 0.7667.

p₀=0.7. The sample size is n=180.

z = (0.7667 - 0.7) / √(0.7(1 - 0.7) / 180)

= 1.95277604597

≈ 1.92

Since the p-value for a z-score of 1.92 is 0.054, we can reject the null hypothesis.

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Answer:

2

Step-by-step explanation:

x=2 so 2×2=4

(mark me as brainlest)

Hey there!

\(20-(-3)\)

\(Subtract:\\20-(-3)\\=-60(ANSWER)\)

Hope this helps!

\(-TestedHyperr\)

The property justified by step 4 is after substitution in the equation you get the desired result.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the data in the question,

In step 3 substitution of value is taking place.

In step 4 when values are substituted the final result is obtained, so step 4 is the result step.

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Answer:

9.833333

Step-by-step explanation:

Answer:

16/20, (20-x)/20

Step-by-step explanation:

Qasim got 4 wrong, so 4 points off. 20-4, is 16, meaning that he got a score of 16/20 (80%).

If he got x questions wrong, since each question is worth 1 point, he would get 20-x points, which is a score of (20-x)/20.

The test score for Qasim will be 80% for answering 16 questions right.

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that Qasim is taking a multiple-choice test with a total of 20 points available. Each question is worth exactly 1 point.

The test score will be calculated as,

Test score = [ ( Total questions - wrong answers ) / Total questions] x 100

Test score =  [ ( 20 - 4 ) / 20 ] x 100

Test score = 0.80 x 100

Test score = 80%

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Answer: \((x+10)(x-10)\)

Step-by-step explanation: Difference of squares is an important element in understanding square functions. In order to identify difference of squares, the equation should be given in the form a^2-b^2. You can factor it completely when b^2 can be square rooted perfectly and write the factored expression as (a-b)(a+b) as I have done above.

Answer:

15.12

Step-by-step explanation:

15.12

The value of x in miles is 18 miles.

The beach is x miles away from home.  

Distance is a numerical description of how far apart two objects are. Therefore,

The distance between beach and his home is x miles. He travelled to and fro at a distance of 36 miles. Therefore,

Travelling to and fro simply means he travelled back and forth. Therefore,

x = 36 / 2

x = 18 miles

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Answer:

  f(-3) = -20

Step-by-step explanation:

We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...

  34, 10, -8, ?

The first differences of these numbers are ...

  10 -34 = -24

  -8 -10 = -18

And the second difference is ...

  -18 -(-24) = 6

For a quadratic function, second differences are constant. This means the next first-difference will be ...

  ? -(-8) = -18 +6

  ? = -12 -8 = -20

The value of the function at x=-3 is -20.

_____

The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)

Answer:

I graphed it for you in the image below.

Step-by-step explanation:

Graph the logarithmic function f(x) = log2(x - 1) + 2 is attached below.

The function is referred to as a particular kind of relationship, every value in the domain is associated with exactly one value in the range. They have a set perimeter and territory.

It is given that the logarithmic function is, f(x) = log2(x - 1) + 2.

The first step in graphing a logarithmic function is to locate some points on the exponential f. (x). The graph will look better as we plot more points, and we can flip the x and y values to get points on the opposite axis. locate the asymptote. The following logarithmic functions can be graphed. Specify the domain and the range.

Thus, the graph is attached below.

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Answer:

soln;

given equation is 6x + 5 = 2y

or, 6x -2y + 5 = 0

comparing with ax + by + c = 0

a = 6, b = -2, c = 5

The surface area of the square pyramid is 380 in²

A square pyramid is a three-dimentional object with a sqaure shaped base and triangular shaped faces that correspond to each side of the base.

The surface area of a square pyramid is expressed as;

SA = a² + 2al

Where a is the side length of the sqaure base and l is the slant height of the pyrmid.

Given that:

Plug the given values into the above formul and solve for the surface area.

SA = a² + 2al

SA = (10 in)² + ( 2 × 10 in × 14 in )

Simplify

SA = 100 in² + 280 in²

SA = 380 in²

Therefore, the surafce area is 380 square inch.

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Answer:

$207.66

Step-by-step explanation:

30% off is the same as saying there is 70% not off, and 70% is the same as 0.70

0.70*349= 244.30

15% off is the same as saying 85% is not off, and

85% is the same as 0.85

0.85*244.30=207.655

because it's money, you round to 2nd decimal place

$207.66

hope this was helpful :)

Answer:

c=5

Step-by-step explanation:

(a) Entropy of source X can be calculated using the formula, \(H(X) = -P1 log2 P1 - P2 log2 P2 - P3 log2 P3 - P4 log2 P4 - P5 log2 P5 - P6 log2 P6 - P7 log2 P7 - P8 log2 P8= -(0.15 * log2 0.15 + 0.04 * log2 0.04 + 0.25 * log2 0.25 + 0.09 * log2 0.09 + 0.10 * log2 0.10 + 0.07 * log2 0.07 + 0.10 * log2 0.10 + 0.2 * log2 0.2)= 2.6763≈2.68\)

Therefore, the entropy of source X is 2.68

(b) Following is the table for designing Huffman code for source X from maximum (top) to minimum (bottom), and assigning "O" to the top and "1" to the bottom branches: \(PjCodeP3 0.25 00P1 0.15 010P8 0.2 011P4 0.09 1000P5 0.1 1001P6 0.07 1010P7 0.1 1011P2 0.04 1100\)

(c) Average codeword length \(= L = Σ (Pi) (Li)= 0.25 × 2 + 0.15 × 3 + 0.2 × 3 + 0.09 × 4 + 0.1 × 4 + 0.07 × 4 + 0.1 × 4 + 0.04 × 4= 2.87As L > H(X)\), the code is not optimal, but it is still good since it is close to H(X).

The code is good because it is efficient in reducing the number of bits required for data transmission.

(d) The Huffman code procedure's step responsible for code efficiency is choosing the lowest probability pairs and combining them.

It ensures that the resulting code requires the least amount of bits to represent the most frequently occurring symbols.

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(a) Entropy of source X is calculated by using the formula H(X) = Σ Pi * log (1/Pi), where Pi represents the probability of the symbol. Here, we have 8 symbols with their probabilities.

Hence the entropy of the source is given by:H(X) = 0.15*log2(1/0.15) + 0.04*log2(1/0.04) + 0.25*log2(1/0.25) + 0.09*log2(1/0.09) + 0.10*log2(1/0.10) + 0.07*log2(1/0.07) + 0.10*log2(1/0.10) + 0.20*log2(1/0.20) = 2.6953.

(b) Huffman code for source X is constructed by using the following steps:

Step 1: Arrange the probabilities in descending order.

Step 2: Create a binary tree by taking two minimum probabilities at a time and adding them.

Step 3: Repeat step 2 until there is only one node left.

Step 4: Assign 0 to the left branch and 1 to the right branch. Following the above steps, the Huffman code for source X is as shown below: P3: 00P1: 010P4: 0110P5: 0111P8: 10P7: 110P2: 1110P6: 1111(c) The average codeword length of the source is calculated by using the formula Lavg = Σ Pi * Li, where Pi represents the probability of the symbol and Li represents the length of its codeword. The average codeword length of the source X is given by:Lavg = 0.25*2 + 0.15*3 + 0.09*4 + 0.10*4 + 0.20*2 + 0.07*4 + 0.04*4 + 0.10*4= 2.36 bits per symbol.Comparing the entropy and the average codeword length of the source, we can see that the entropy is greater than the average codeword length of the source.

Hence, this is a good code since it achieves close to the minimum average codeword length and has a small difference between the entropy and average codeword length. (d) The step responsible for code efficiency in the Huffman code procedure is Step 2, where we create a binary tree by taking two minimum probabilities at a time and adding them. This step is responsible for ensuring that the source's symbols with the highest probabilities have the shortest codewords.

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Answer:  directly north

=============================================

Explanation:

A one quarter turn is 1/4 of 360 degrees, so it's (1/4)*360 = 90 degrees.

Three quarters of a full turn is (3/4)*360 = 270, or you could triple the 90 to get 90*3 = 270.

Rick starts facing directly east. Then he rotates 270 degrees clockwise to end up facing directly north. Refer to the diagram below.

Answer:

55 centimeters

Step-by-step explanation:

It is a right triangle which means it will add up to 90 degrees. You would start by adding 20 and 15 which is 35 and then subtract 35 from 90 to get 55. I hope this helped :)

\(\sf\pink{c\:=\:25\:centimetres}\) ✅

Step-by-step explanation:-

\(\sf\purple{Using\:Pythagoras\:theorem, \:we \:have}\)

\(({Perpendicular})^{2} + ({Base})^{2} = ({Hypotenuse})^{2} \\ ➪\:( {15 \: cm})^{2} + ({20 \: cm})^{2} = {c}^{2} \\ ➪ \: {c}^{2} = 225 \: {cm}^{2} + 400 \: {cm}^{2} \\ ➪ \: {c}^{2} = 625 \: {cm}^{2} \\ ➪ \: c \: = \sqrt{625 \: {cm}^{2} } \\ ➪ \: c \: = \sqrt{25 \times 25 \: {cm}^{2} } \\ ➪ \: c = \sqrt{ ({25 \: cm})^{2} } \\ ➪ \: c \: = 25 \: cm\)

\({\boxed{\mathcal{\blue{Therefore,\:the\:length\:of\:the\:hypotenuse\:is\:25\:cm.}}}}\)

\(\boxed{Note:-}\)

\(\bold{ \green{ \star{ \orange{Hope\:it\:helps.}}}}⋆\)

An appropriate interpretation of the P-value is option B: the probability of getting your data, or more extreme, and option E: assuming the null hypothesis is true.

A P-value should be seen as representing the likelihood of receiving your data, or even more extreme, assuming the null hypothesis is true. It does not depict whether the null hypothesis is more likely to be true or untrue. Additionally, it does not depict the likelihood that the alternative hypothesis is correct or incorrect.

A statistical tool used by researchers to assess the validity of a hypothesis is the p-value. It can also be explained as the likelihood of getting a result which is either more extreme or the same as the actual observations.

The p-value can be used to decide whether or not to reject a null hypothesis. The null hypothesis can be disregarded if the p-value is less than or equal to a preset significance level, often 0.05.

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Correct question:

What is an appropriate interpretation of a p-value? (select all that apply)

assuming the alternate hypothesis is true,

the probability of getting your data, or more extreme.

the probability that the null hypothesis is false.

the probability that the null hypothesis is true.

assuming the null hypothesis is true.

the probability that the alternate hypothesis is false.

the probability that the alternate hypothesis is true.