The third side of a triangle is four inches longer than the shortest side. The


second side is two inches longer than the shortest side. The perimeter of


the triangle is 24 inches. What is the length of the longest side?


Your answer



Pls

a) If the level of confidence of each interval is increased from 95% to 99%, the width of the confidence intervals will increase.

b. If the number of samples per hour was increased from 50 to 100, the width of the confidence intervals will decrease.

a)  When the level of confidence of each interval is increased from 95% to 99%, the intervals will be wider. This is because a higher level of confidence requires a larger margin of error. The margin of error is the range within which the true population parameter is likely to fall with a given level of confidence. An increase in the level of confidence will result in a wider margin of error, hence a wider confidence interval.

b) When the number of samples per hour is increased from 50 to 100, the standard error of the mean will decrease. This is because the standard error of the mean is inversely proportional to the square root of the sample size. A larger sample size will lead to a smaller standard error of the mean, which in turn results in a narrower confidence interval.

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The equation of a line h which is parallel to the equation g is:  

'y = (7/2)x + 4

A straight line's equation is a relationship between its x and y coordinates, and it is written as y = mx + c, where m is the line's slope and c is its y-intercept.

We know that line h is parallel to line g, which means that they have the same slope.

The slope of line g is 7/2.

Using the point-slope form of the equation of a line, we can write the equation of line h as:

y - y₁ = m(x - x₁)

where m is the slope of line h and (x₁, y₁) is the point (-2, -3) on line h.

Substituting the values we have:

y - (-3) = (7/2)(x - (-2))

Simplifying:

y + 3 = (7/2)(x + 2)

y + 3 = (7/2)x + 7

y = (7/2)x + 4

Therefore, the equation of line h is y = (7/2)x + 4.

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Answer:

$21.35

Step-by-step explanation:

7% of 19.95 is 1.3965 but in money terms we round to the nearest hundredth 1.40.

1.40 + 19.95 is 21.35

Answer:

\( \frac{9 - 8}{12 } \\ = \frac{1}{12} \\ = 0.8333333...\)

Answer:

d

Step-by-step explanation:

Answer:

She has a total of 300 action figures.

Step-by-step explanation:

19 : 100 = 57 : x

x = 100/19 * 57

x = 300

Answer:60% chance it will rain 2 days in a row

Step-by-step explanation:

Answer:

2. absolute value of p - q

Explanation:

Because when you calculate distance, you always use absolute value.

Can I get a thx and brainliest?

The predicted number of runs for the player with only 86 hits can be calculated using the equation Runs = Hits + Walks - Home Runs. Plugging in the values given, we get: Runs = 86 + Walks - Home Runs. Therefore, the predicted number of runs for the player is dependent on the number of walks and home runs they have.

To solve for the predicted number of runs, we can use the following steps:

Therefore, the predicted number of runs for the player with only 86 hits can be calculated by plugging in the values of the number of walks and home runs into the equation Runs = Hits + Walks - Home Runs.

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Answer:

The 17th term of the given Arithmetic progression -6,-1,-4 will be 74.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

As per the given Arithmetic progression,

-6, -1, -4.

First term a = -6

Common difference d = -1 - (-6) = 5

The nth term of AP is given as a + (n - 1)d.

This 17th term will be as, -6 + (17 - 1)5

⇒ -6 + 16 × 5 = 74

Hence "The 17th term of the given Arithmetic progression -6,-1,-4 will be 74".

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Answer:

∠ W = 30°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos W = \(\frac{adjacent}{hypotenuse}\) = \(\frac{WY}{WX}\) = \(\frac{2\sqrt{21} }{4\sqrt{7} }\) = \(\frac{1}{2}\) \(\sqrt{\frac{21}{7} }\) = \(\frac{\sqrt{3} }{2}\) , then

∠ W = \(cos^{-1}\) ( \(\frac{\sqrt{3} }{2}\) ) = 30°

Rounding this result to four decimal places, the approximation of the integral is approximately 42.9624.

To approximate the integral ∫0^72 sin(x) dx using the Midpoint Rule with n = 4, we need to divide the interval [0, 72] into four subintervals of equal width.

The width of each subinterval, Δx, can be calculated as (b - a) / n = (72 - 0) / 4 = 18.

The midpoint of each subinterval can be found by adding half of the width to the left endpoint of the subinterval. Therefore, the midpoints of the four subintervals are: 9, 27, 45, and 63.

Next, we evaluate the function at each midpoint and sum up the results multiplied by the width Δx:

Approximation ≈ Δx * (f(midpoint1) + f(midpoint2) + f(midpoint3) + f(midpoint4))

≈ 18 * (sin(9) + sin(27) + sin(45) + sin(63))

Using a calculator, we can evaluate this expression:

Approximation ≈ 18 * (0.4121 + 0.9564 + 0.8509 + 0.1674)

≈ 18 * 2.3868

≈ 42.9624

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Answer:

$46,819 is the average unemployed salary

Answer:

Step-by-step explanation:

Volume of Sphere =4/3л\(r^{3}\) = (4/3)*3.14*48*48*48 = 463011 \(mm^{3}\) =46300

Answer:

20 percent

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

since 100% is a 200, half of them were circus clowns 200/2 = 100

so 100 persons are 50%

from these 100, only 60 graduated as rodeo clowns and 40 as memes

1 percent of 200 is 2, so 40/2=20%

The value of k for which P(X > k) = 0.75 is approximately 4.696. Option D

To find the value of k for which P(X > k) = 0.75, we need to use the properties of the standard normal distribution.

Given that X has a normal distribution with a mean of 2 and a standard deviation of 4, we can standardize the variable X using the z-score formula:

z = (X - μ) / σ

where μ is the mean and σ is the standard deviation.

Substituting the given values, we have:

z = (X - 2) / 4

To find the value of k, we need to determine the z-score that corresponds to a cumulative probability of 0.75.

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.75 is approximately 0.674.

Setting the standardized value equal to 0.674, we have:

0.674 = (k - 2) / 4

Solving for k, we find:

k - 2 = 0.674 * 4

k - 2 = 2.696

k ≈ 4.696

Therefore, the value of k for which P(X > k) = 0.75 is approximately 4.696.

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Answer:

0.02464456

Step-by-step explanation:

Since the exponent is a negative number we know that it is going to be below 1 which is why the answer looks very confusing

Answer:

idek but i get free points hehe

Step-by-step explanation:

The critical points for this system are: (0, y), (1, y), (x, 0), and (x, -1/2).

What is the system of equations?

A system of equations is a collection of one or more equations that are considered together. The system can consist of linear or nonlinear equations and may have one or more variables. The solution to a system of equations is the set of values that satisfy all of the equations in the system simultaneously.

To find the critical points (equilibrium solutions) of the given systems of differential equations, we need to set both derivatives equal to zero and solve for x and y.

dx/dt = x - xy, dy/dt = y + 2xy

Setting dx/dt = 0, we have:

x - xy = 0

x(1 - y) = 0

This gives us two critical points: (0, y) and (1, y), where y can take any value.

Setting dy/dt = 0, we have:

y + 2xy = 0

y(1 + 2x) = 0

This gives us two critical points: (x, 0) and (x, -1/2), where x can take any value.

Therefore, the critical points for this system are: (0, y), (1, y), (x, 0), and (x, -1/2).

Regarding the stability and classification of each critical point, we need to analyze the eigenvalues of the Jacobian matrix at each point. The stability of a critical point is determined by the sign of the real parts of the eigenvalues.

To describe the basin of attraction for each asymptotically stable critical point, we would need to perform further analysis of the system's behavior near each critical point.

Hence, the critical points for this system are: (0, y), (1, y), (x, 0), and (x, -1/2).

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The average speed of the car is 51 kph. The result is obtained by dividing the total distance by the total time taken.

Average speed is the overall speed of a moving object during a given amount of time. It can be expressed as

Avg speed = Total distance covered / Total time taken

The speed itself can be found by the following formula.

s = d/t

Where

A car can travel at the following speeds.

Find the average speed!

We should convert the unit of time from minutes to hour.

t₃ = 45 minutes = ¾ h

t₄ = 15 minutes = ¼ h

We count the time and distance in each travels.

t₁ = d₁/s₁ = 20/40 = ½ h

t₂ = d₂/s₂ = 25/50 = ½ h

d₃ = s₃×t₃ = 60 × ¾ = 45 km

d₄ = s₄×t₄ = 48 × ¼ = 12 km

Avg speed = (s₁ + s₂ + s₃ + s₄)/(t₁ + t₂ + t₃ + t₄)

Avg speed = (40 + 50 + 60 + 48)/(½ + ½ + ¾ + ¼)

Avg speed = 102/2

Avg speed = 51 kph

Hence, the car has the average speed of 51 kph.

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Answer:

58° or 58.034°

Step-by-step explanation:

The answer is 58° or specific it is 58.034°

Answer:

1/2

Step-by-step explanation:

4/9 is equal to 4.444 repeating so that would be closest to 1/2

Option B is the correct answer. The best approximation of the relative maximum of the polynomial function  graphed below is (-3.6,17)

The relative maximum is in the peak on the left side.

A function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation like the quadratic equation, or cubic equation.

The general Polynomial Formula is

\(P(x)=a_{n} x^n+a_{n-1} x^n^-1+..........+a_{2} x^2+a_{1} x^1+a_{0}\)

where all the powers are non-negative integers.

And, a0,a1,………,an ∈ R

The graph of function depends upon its degree, and having one variable which has the largest exponent is called a degree of the polynomial.

There are some Graphs of Higher Degree Polynomial Functions:

The Standard form is:

P(x) = an xn + an-1 xn-1+.……….…+ a0

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Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

=

3

2

Step-by-step explanation:

Answer:

4x^2+8x=3 or 4x^2+8x-3

Step-by-step explanation:

-(2±√7)/2

Given:

Loss of 17 yards.

To find:

The integer for given situation.

Solution:

Integers are the complete numbers without a decimal or fractional value. Integers can be positive, negative or zero.

Zero : No change.

Negative integers : Decrease in any value.

Positive integers : Increase in any value.

Loss of 17 yards means decrease in value by 17 yards.

So, required integer for the situation is -17. Here, negative sign is used for  decrease in yards.

Therefore, the required integer is -17.

Step-by-step explanation:

ab + 3c = 2x

Subtract 3c from both sides

ab = 2x - 3c

Isolate b by dividing by a

b = (2x -3c)/a

The number of basketball trophies in Donovan's collection is 19

From the information given, let;

We have that;

x = 2y - 13       (1)

x + y = 35     (2)

Now, let's substitute the value of x as 13 - y in (2)

2y - 13 + y = 35

collect like terms

3y = 35 + 13

3y = 48

Make 'y' the subject

y = 48/3

y = 16

Donovan's collection =  2y - 13 = 2 (16) - 13 = 32- 13 = 19

Thus, the number of basketball trophies in Donovan's collection is 19

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