Which expression is represented by this model?

14×13=112

13×12=16

14×16=124

14×12=18

The rate at which calories are burned was gotten by finding the slope of the graph which gives; 4 calories per minute

To get the slope of a linear graph, we will take two coordinates and make use of the formula;

Slope = (y₂ - y₁)/(x₂ - x₁)

The two coordinates we will pick for this slope are;

(10, 40) and (20, 80)

Thus;

Slope = (80 - 40)/(20 - 10)

Slope = 40/10

Slope = 4

Since the y-axis represents calories burned and the x-axis represents minutes of exercise, then we can say that;

Rate at which  calories get burned by bike riding = 4 calories per minute

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A better method to determine the more popular sport is by conducting a comprehensive, unbiased survey with a random sample

a. Concluding that baseball is more popular than soccer based on a poll at a championship event is not valid due to potential sample bias, self-selection bias, limited sample size, and question phrasing.

b. A better method to determine the more popular sport is by conducting a comprehensive, unbiased survey with a random sample of students in a neutral setting, using clear and unbiased questions that allow for all preferences

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To discover the full sum of fuel required for 7 flights of a radio-controlled demonstrates plane that employments a cup of fuel for each flight, ready-to-utilize products by increasing the sum of fuel required for one flight by the number of flights.

In this case, one flight uses a glass of fuel, which is comparable to 8 liquid ounces. Subsequently, to discover the whole sum of fuel required for 7 flights, we will duplicate the sum of fuel needed for one flight by 7:

Add up to sum of fuel = 1 cup x 7 = 7 glasses

On the other hand, we are able to change over glasses to liquid ounces and after that utilize products. One container is identical to 8 liquid ounces, so we are able to utilize products by duplicating 8 liquid ounces by 7 flights:

Add up to sum of fuel = 8 liquid ounces x 7 = 56 liquid ounces

thus, we require an additional up to 7 mugs or 56 liquid ounces of fuel for 7 flights of the radio-controlled show plane. 

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complete question: A radio-controlled model airplane uses a cup of fuel for each flight. Explain how to find the total amount of fuel needed for 7 flights.

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Step-by-step explanation:

p^(-5)  =  1 / p^5  =  1/14^5  = 1.859 x 10^-6

X in an example​ of stochastic variable.

What is meant by stochastic variables?

Typically, a random (or stochastic) variable is defined as a variable that can assume more than one value due to chance.

The correct answers are: (a) stochastic variable: By stochastic variable we mean a variable (here X: the weight of students) whose values are subject to variation due to chance.

Here since X is the weight of the children sampled, hence X will vary along with change in the sampling units which gets selected by chance.

Hence X for a sample A and X value for a different sample B will be different. So the values of X vary due to chance ( chance takes part in the selecton of the sample). So X is a stochastic variable.

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The complete question is -

Researchers are concerned that the weight of the average American school child is increasing implying, among other things, that children's clothing should be manufactured and marketed in larger sizes. If X is the weight of school children sampled in a nationwide study, then X is an example of a stochastic variable. a parameter. a categorical variable. a continuous variable.

Answer:

Hope this helps!!

Step-by-step explanation:

From the given information provided, the total cost of olivia membership fee and her car wash is $82.

The membership fee is a one-time cost of $40.00. To calculate the cost of three car washes, we can simply multiply the cost per car wash by the number of car washes:

3 car washes x $14.00 per car wash = $42.00

So the total cost for Olivia's membership fee and three car washes would be:

$40.00 (membership fee) + $42.00 (cost of three car washes) = $82.00

Question - Olivia likes to go to her local car wash because she is a premier member there. Her membership fee costs $40. 00 and that membership allows her to get her car washed for $14. 00 every visit. What would be the cost of Olivia's membership fee and three car washes?

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Pairwise comparison voting, also known as Condorcet voting, satisfies both majority rule and pairwise victory (the Condorcet criterion).

1. Pairwise comparison: In pairwise comparison voting, each candidate is compared to every other candidate in a head-to-head contest. Voters rank the candidates in order of preference, and the outcomes of these individual contests are used to determine the overall winner.

2. Majority rule: Majority rule is satisfied in pairwise comparison voting because, in each head-to-head contest, the candidate who receives more than 50% of the votes is considered the winner. This ensures that the candidate with the majority of votes in each comparison is acknowledged as the preferred choice.

3. Pairwise victory (Condorcet criterion): The Condorcet criterion states that if there is a candidate who can beat every other candidate in a one-on-one contest, that candidate should be the overall winner. Pairwise comparison voting satisfies the Condorcet criterion because it directly compares each candidate against all others, ensuring that any candidate who consistently wins these head-to-head contests is recognized as the overall winner.

In conclusion, pairwise comparison voting (Condorcet voting) satisfies both majority rule and pairwise victory (the Condorcet criterion) by comparing candidates in head-to-head contests, ensuring that the candidate with the majority of votes in each contest is acknowledged as the preferred choice, and recognizing any candidate who consistently wins these head-to-head contests as the overall winner.

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The probability that all 6 flips result in heads is 1/64

The given coin is flipped 6 times. The number of heads and tails could vary from 0 to 6.Let H be the number of heads and T be the number of tails. Then the possible values of H and T are, H=0 and T=6 H=1 and T=5 H=2 and T=4 H=3 and T=3 H=4 and T=2 H=5 and T=1 H=6 and T=0

For the given question, it is given that more heads are flipped than tails.So the possible values of H are 4, 5 and 6.So the total number of possible outcomes with more heads than tails is the sum of the possible outcomes with 4, 5 and 6 heads which is, 1+6+15 = 22 (from the combinations formula)Now, the probability that all 6 flips result in heads, given more heads are flipped than tails is,

P(all 6 are heads) = P(H > T) × P(all 6 are heads | H > T)P(H > T) = 22/64

P(all 6 are heads | H > T) = 1/21 (there is only one possibility where all 6 flips are heads)

P(all 6 are heads) = P(H > T) × P(all 6 are heads | H > T) = (22/64) × (1/21) = 1/64

Therefore, the probability that all 6 flips result in heads, given more heads are flipped than tails is 1/64.

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Given that 75% of the data falls between 74 and 83 in an unknown distribution, we can make an estimation of the mean of the distribution.

The mean represents the average value of the data points and is an important measure of central tendency.

Since we don't have information about the shape of the distribution, we cannot determine the exact mean. However, we can make an approximation based on the given information.

In a symmetrical distribution, such as the normal distribution, the mean coincides with the midpoint of the data range. In this case, the range is from 74 to 83. Therefore, a reasonable estimate for the mean would be the average of these two values.

Adding 74 and 83 and dividing by 2, we get (74 + 83) / 2 = 157 / 2 = 78.5. So, based on the given information, we can estimate that the mean of the distribution is approximately 78.5.

It's important to note that this estimation assumes symmetry in the distribution and relies on the assumption that the distribution follows a normal or approximately normal shape. Without further information, we cannot determine the exact mean of the unknown distribution.

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Answer:

1/18

Step-by-step explanation:

-1/2 + 5/9 =

-9/18 + 10/18 = 1/18

Answer:

1/18

Step-by-step explanation:

Answer:

B. F=1/(x-3)^2

Step-by-step explanation:

Math ez.

Step-by-step explanation:

hope it is helpful to you

Answer:

solution given;

\( \sqrt{3x + 13} = \sqrt{6x + 1} \)

3х + 13 = 6х +1

13-1=6x-3x

3x=12

x=\( \frac{12}{3} \)=4

x=4

The height of the second square base prism is 50 cm.

The volume of the first square base prism is represented as follows:

v = ha²

where

Therefore, the height of the prism is 10 cm.

v = 10a²

Hence, the volume of the initial prism is 5 times the volume. Therefore,

v = 5(10a²)

v = 50a²

Therefore,

50a² = ha²

divide both sides by a²

50a² / a² = ha² / a²

50 = h

h = 50  cm

Therefore, the height of the second square base prism is 50 cm.

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Answer:

$17.04

Step-by-step explanation:

After a stock split, the number of shares a shareholder owns is increased, while the value of each share is decreased. In this case, Lea's shares were increased by a factor of 5/2 = 2.5 times. Therefore, Lea's number of shares after the split was 800 * 2.5 = 2000 shares.

The value of each share after the split is decreased by a factor of 2/5 = 0.4 times. Therefore, the post-split price per share was $42.60 * 0.4 = $17.04.

Therefore, after the stock split, Lea had 2000 shares worth $17.04 each.

Answer:

(-3,5] U [5,10)

Step-by-step explanation:

That should be your answer let me know

\(\left[Hello, Brainly User!]\)

Answer:

n < -2

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

n+3<−3n−5

Step 2: Add 3n to both sides.

n+3+3n<−3n−5+3n

4n+3<−5

Step 3: Subtract 3 from both sides.

4n+3−3<−5−3

4n<−8

Step 4: Divide both sides by 4.

4n/4<−8/4

n<−2

\([CloudBreeze]\)

The inequality x/6.2 ≥ -2 is solved by multiplying both sides by 6.2 to get x ≥ -12.4, which means x is greater than or equal to 12.4.

To solve the inequality x/6.2 ≥ -2, we want to find all possible values of x that make the inequality true.

First, we can isolate x by multiplying both sides of the inequality by 6.2 (which is positive, so we do not need to flip the inequality sign):

x/6.2 * 6.2 ≥ -2 * 6.2

Simplifying, we get:

x ≥ -12.4

This means that any value of x that is greater than or equal to -12.4 will make the inequality true.

To see why this is the case, we can substitute a few values for x and see if they satisfy the inequality. For example, if we let x = 12.4, then:

x/6.2 = 12.4/6.2 = 2

And we can check that 2 is indeed greater than or equal to -2. Therefore, x = 12.4 is a valid solution.

Similarly, if we let x = 20, then:

x/6.2 = 20/6.2 ≈ 3.23

And we can check that 3.23 is also greater than or equal to -2. Therefore, x = 20 is also a valid solution.

However, if we let x = -15, then:

x/6.2 = -15/6.2 ≈ -2.42

And we can see that -2.42 is not greater than or equal to -2. Therefore, x = -15 is not a valid solution.

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An equation of the line that passes through the given points is y = -4/5(x) - 14/5.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (-6 + 2)/(4 + 1)

Slope (m) = -4/5

At data point (-1, -2) and a slope of -4/5, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y + 2 = -4/5(x + 1)

y = -4/5(x) - 4/5 - 2

y = -4/5(x) - 14/5

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Answer: I THINK ITS (-10/8)

Step-by-step explanation:

Particular solution for the equation a. Y" – 6y + 5y = 5x2 + 3x – 16 – 9223 is

5y = -15e²⁷ - 23/5

Particular solution for b. y" – 6y' + 5y = -10x2 - 6x + 32 +622 is 5y = 8x+ 218

Given:

y= 3e²⁷ (Solution 1)

Y = x² + 3x (Solution 2)

y" - 6y' + 5y = -9222 (Equation 1)

y" - 6y' + 5y = 5x² + 3x – 16  (Equation 2)

Where \(y^{"}\) represents the double derivative(d²y) of y and \(y^{'}\) represents the first derivative(dy) of the equation y.

Find Solutions for:

a. Y" – 6y + 5y = 5x² + 3x – 16 – 9223

b. y" – 6y' + 5y = -10x² - 6x + 32 +622

y= 3e²⁷ (Solution 1)(Given in the question)

Taking derivative on both sides

by = 3 de²⁷

∵ e²⁷  is constant in comparison to dy the derivative will be 0. Thus, d²y of y is also equal to zero

Then, putting values in the equation 1

- 6y' + 5y + y" = -9222 (Equation 1)

(0) - 6(0) +5(3e²⁷) = -9222

Thus, 15e²⁷ = -9222

5e²⁷ = -3074

e²⁷ = -614.8

Y = x² + 3x (Solution 2)(Given in the question)

Taking derivative on both sides

dY/dx= 2x + 3 -(iii)

taking derivative of y'

d²Y/dx² = 2

∵ 3 is a constant in dy/dx.

Then, putting values in the equation 2

y" -+ 5y - 6y'  = 5x² + 3x - 16

(2) - 6(2x + 3) +5y = 5x² + 3x - 16 + 12x - 12x

2 - 12 + 18x + 5y = 5x² +15x - 16 -12x

-10 + 18x - 15x + 5y = 5y -16 -12x

3x + 12x =10 - 16

15x = -6

x= -2/5

Putting values of x, y, dy and  d²y in equations (i) & (ii)

a. Y" – 6y + 5y = 5x² + 3x - 16 – 9223

(2)  -6(2x+3) + 5y = 5x² + 3x - 16 - 9223 + 12x - 12x

2 - 12x -18 + 5y = 5y - 9223 - 16 - 12x

2 + - 18 + 5y -6/5 -(9222 + 1)

2 + 24-6/5 + 5y + 15e²⁷ - 1 = 0

5y + 15e²⁷ + 18/5 + 1= 0

5y + 15e²⁷ + 23/5= 0

5y = -15e²⁷ - 23/5

b. y" – 6y' + 5y = -10x² - 6x + 32 +622

(0) -6(0) + 5y = -10x² - 6x +654

5y = -10x² - 6x -24x + 24x + 654

5y = -10(x² + 3x) +24x + 654

5y = -10y + 24x + 654

5y +10y = 24x + 654

15y=24x+654

5y = 8x+ 218

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Answer:50 penguins it’s right

The probability of getting 2 or fewer women when 11 people are picked is approximately 0.0332

To solve this problem, we can use the binomial distribution formula, which gives us the probability of getting k successes in n independent trials, where the probability of success in each trial is p.

In this case, our "success" is selecting a woman, and our "failure" is selecting a man. Since there are approximately equal numbers of men and women in the pool of applicants, the probability of selecting a woman is p = 0.5, and the probability of selecting a man is q = 1 - p = 0.5.

We want to find the probability of getting 2 or fewer women when 11 people are picked, so we need to calculate the probability of getting 0, 1, or 2 women.

P(0 women) = C(11,0) × (0.5)^0 × (0.5)^11 = 0.00048828125

P(1 woman) = C(11,1) × (0.5)^1 × (0.5)^10 = 0.00537109375

P(2 women) = C(11,2) × (0.5)^2 × (0.5)^9 = 0.02734375

where C(n,k) represents the number of ways to choose k items from a set of n items, which is also known as the binomial coefficient.

Therefore, the probability of getting 2 or fewer women when 11 people are picked is

P(0, 1, or 2 women) = P(0 women) + P(1 woman) + P(2 women)

= 0.00048828125 + 0.00537109375 + 0.02734375

= 0.0332

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#1

put t=0 in function

\(\\ \rm\hookrightarrow h(0)=58m\)

#2

It's already located

\(\\ \rm\hookrightarrow T\:at\:H_{max}=4s\)

#3

\(\\ \rm\hookrightarrow H_{max}=79m\)

#4

Count on t axis on graph

#5

Just the initial velocity and height becomes zero

New function

#6

Sam e initial velocity but height becomes zero

New function

Answer:

1) 58 m

2) t = 2 s

3) 78 m

4) t = 6 s

5) It changes the y-intercept (58) to zero

6) \(h(t)=-4.9t^2+19.8t\)

7) h = 20 m

  t = 4 s

Step-by-step explanation:

\(h(t)=-4.9t^2+19.8t+58\)

1) When t = 0:

\(\implies h(0)=-4.9(0^2)+19.8(0)+58=58\)

Therefore, the height of the cannon before it is launched is 58 m

2) To find the time when the parabola reaches its max height, differentiate the function with respect to t, equal to zero, then solve for t:

\(\implies h'(t)=-9.8t+19.8\)

\(\implies h'(t)=0 \\\\\implies-9.8t+19.8=0\\\\\implies t=2.020408163...\\\\\implies t=2 \ \textsf{s (nearest whole number)}\)

3) The maximum height of the cannonball is when t = 2.020408163...:

\(\implies h(2.020408163...)=-4.9(2.020408163...^2)+19.8(2.020408163...)+58=78.0020408...\)

Therefore, the maximum height of the cannonball is 78 m (nearest whole number)

4)  Set the function to zero and solve for t:

\(\implies-4.9t^2+19.8t+58=0\\\\\implies t=-1.96942..., t=6.01024...\)

As time is positive, t = 6 s (nearest whole number)

5)  If you launch the cannonball from the ground, where \(h_i=0\), then the y-intercept will be 0 and the function will be  \(h(t)=-4.9t^2+19.8t\)

6) \(h(t)=-4.9t^2+19.8t\)

7) To find the maximum height of the parabola, differentiate the function with respect to t, equal to zero, solve for t, then substitute the found value for t into the equation:

\(\implies h(t)=-9.8t+19.8\)

\(\implies h'(t)=0 \\\\\implies-9.8t+19.8=0\\\\\implies t=2.020408163...\\\\\implies t=2 \ \textsf{s (nearest whole number)}\)

\(\implies h(2.020408163...)=-4.9(2.020408163...)^2+19.8(2.020408163...)=20.00204081...\)\(\implies h = 20 \textsf{ m (nearest whole number)}\)

To find the time it took to hit the ground, set the function to zero and solve for t:

\(\implies -4.9t^2+19.8t=0\\\\\implies t=0, t=4.04081632653...\)

\(\implies t=4 \textsf{ s (nearest whole number)}\)

Answer:

1: x = 10

2: x = 2

3: x = 5

4: x = -5

Step-by-step explanation:

Answer:

question three 8488

question four 288

Step-by-step explanation:

Answer:

3. 8448

4. 288

Step-by-step explanation:

Answer:

\(104 ft^2\)

Step-by-step explanation:

The answer is \(104 ft^2\).

Divide the shape into 3 different rectangles. Now we have 2 rectangles that are 5 by 4.

The last rectangle is 16 by 4. (8-4 =4)

This is because 6+5+5=16.

Then you add up the area to get the whole figure.

The two smaller rectangles are 20 each or 40 altogether and the larger rectangle is 64.

When you add it up you get an area of \(104 ft^2\)

I assume you are learning about right triangle trig.

In this case, h = sin(59) * hypotenuse (have you learned about SOHCAHTOA ?)

But we don't know the hypotenuse. So we need to find it.

105 = cos(59) * hypotenuse (SOHCAHTOA again)

hypotenuse = 105 / cos(59) = 203.8 ft approximately

And then h = sin(59) * 203.8 = 174.7 ft approximately

Answer: 174.7 ft

Step-by-step explanation:

In this case, h = sin(59) * hypotenuse (have you learned about SOHCAHTOA ?)

But we don't know the hypotenuse. So we need to find it.

105 = cos(59) * hypotenuse (SOHCAHTOA again)

hypotenuse = 105 / cos(59) = 203.8 ft approximately

And then h = sin(59) * 203.8 = 174.7 ft approximately