Please help- not a test. 15pts.
The orthocenter of ΔABC lies at vertex A. What can you conclude about the line segments BA and AC? Explain.

To find the probability that the mean weight of 19 fish is between 16.1 and 20.6 lb, you would need to know the distribution of the weights of the individual fish. If the weights of the fish are normally distributed with a mean of 18.4 lb and a standard deviation of 2.5 lb, then you can use a normal distribution to find the probability that the mean weight of the 19 fish falls in the specified range.

How does probability work exactly?

Probability is calculated by dividing the total possible outcomes by the number of outcomes that are theoretically possible. Probability differs from odds in this regard. Calculating odds involves dividing the likelihood of a particular event by the likelihood that it won't occur.

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Answer:

80%

Step-by-step explanation:

10$ = 100%

1$ = 10%

if you take away 2$ which is 20% your left with 80%

a. The negative slope shows that water is leaving the tank.

b. After 3 minutes, there are 70 gallons of water.

c. x-intercept = 10, meaning, it takes 10 minutes for the tank to empty.

d. y-intercept = 100, meaning, the initial water in the tank is 100-gallons.

e. Slope = 10

f. The water drains at 10 gallons per minute.

The slope (m) of an equation is the quotient of the rise of the line over the run of the line, which is change in y/change in x.

The x-intercepts of a line is the value of the variable x, when y = 0 (on a graph, the line intercepts the x-axis at this point), while the y-intercept is the value of y when x = 0 (on a graph, the line intercepts the y-axis at this point).

a. The slope is decreasing/declining, this means water is leaving the tank.

b. After 3 minutes, the water in the tank that remain is 70 gallons.

c. The x-intercept is 10, which means that after 10 minutes, all the water in the tank is emptied.

d. The y-intercept is 100, which means the amount of water in the tank initially is 100-gallons.

e. Slope = rise/run = 10/1 = 10

f. The meaning of the slope is that the water is drained at 10 gallons per minute.

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Answer:

Step-by-step explanation:

Future Amount = 25(1.8)^10 = 25* 357.047 = 8926.168 = 8926

Answer:

a=-6, b=18

Step-by-step explanation:

The midpoint can be defined as: \(M = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})\)

The order doesn't matter since addition is associative, just make sure to put them in the right place

So we know what the midpoint is, we can plug in known values to solve for the missing end point.

Let's start with the x-value

\(-2=\frac{2+a}{2}\)

Multiply both sides by 2

\(-4=2+a\)

Subtract 2 from both sides

\(-6=a\)

Now let's do the y-value

\(6=\frac{-6+b}{2}\)

Multiply both sides by 2

\(12=-6+b\)

Add 6 to both sides

\(18=b\)

The point is at (-6, 18)

Answer:

Step-by-step explanation:

Answer:

the answer is letter c 2.50(x)=y

The manager of a garden shop wants to make a mixture that contains 74% rye grass. The weight of the 60% mixture used in this composition is 30 lb.

Percentage is used to denote a fraction of a hundred.

Suppose q represents the weight of the mix that contains 60% rye grass, then the weight of rye grass in this mix is:

w1 = 60% q = 0.6 q

Mix 2: 70 lb grass seed that contains 80% rye grass. The weight of rye grass in the second mix is:

w1 = 80% x 70 = 56 lb

The final mixture has 74% rye grass. Total weight of rye grass in the final mixture:

weight of rye grass = w1 + w2

                                = 0.6 q + 56

Total weight of the final mixture = (q + 70) lb

74% = 0.74 = (0.6 q + 56) / (q + 70)

0.6 q + 56 = 0.74 (q + 70)

0.74 q - 0.6 q = 56 - 0.74 x 70

0.14 q = 4.2

q = 4.2/0.14 = 30

Hence, the weight of 60% mixture is 30 lb.

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Answer:

100 visits

Step-by-step explanation:

5 - 2= 3

300 divided by 3 = 100

5 * 100 = 500

300 + (2*100)

300 + (200) = 500

Answer: 10 weeks

Step-by-step explanation:

The doctor currently has 12 ounces. She buys a 3 lb jar of treats. She uses 6 ounces of treats each week.

Step 1: Convert the 3 lb jar into ounces.

3 lb x (16 oz/1 lb) = 48 oz

Step 2: Add the 12 ounces she has left to the 48 ounces in the jar.

12 oz + 48 oz = 60 oz

Step 3: Determine when the doctor will run out of treats based on the total amount she has and how many she uses each week.

60 oz x (1 week/6 oz) = 10 weeks

Answer:

what diagram

Step-by-step explanation:

Answer:

B. -6 ≤ x ≤ -4

Step-by-step explanation:

1. Rewrite the inequality in standard form:

x² + 2x - 24 ≤ 0

2. Factor x² + 2x - 24:

(x-4)(x+6) ≤ 0

3. Identify the intervals:

x - 4+4 = 0+4, x + 6-6 = 0-6

x = 4, x = -6

In conclusion:

-6 ≤ x ≤ -4

hope this helps!

Answer:

1,2,3,4

Step-by-step explanation:

I think

Answer:

2.31

Step-by-step explanation:

1.65 * 1.4 = 2.31

Answer:

a. 24

b. 864

Step-by-step explanation:

a. The demand function is:

P = 60 - 2Q

When P = 12:

12 = 60 - 2Q

2Q = 60 - 12

2Q = 48

Q = 48/2 = 24

b. Consumer surplus is given as the integral of Demand function:

\(CS = \int\limits {[P(Q) - (p)(Q)] \ dQ\\\)

This implies that:

\(CS = \int\limits {60 - 2Q} \, dQ\\\\CS = 60Q - Q^2\\\\CS = (60 * 24) - 24^2\\\\CS = 1440 - 576\\\\CS = 864\)

Answer:

\(x = 37\)

Step-by-step explanation:

\(2x + 1 = 75\)

\(2x = 75 - 1\)

\(2x = 74\)

\( \frac{2x}{2} = \frac{74}{2} \)

\(x = 37\)

The total number of coins Latanya has if she has 90 nickels and 150 pennies is 240.

The total number of coins Latanya has if she has n nickels and p pennies is n + p.

Latanya finds some nickels and pennies under the couch cushions.

Latanya has 90 nickels and 150 pennies.

Therefore, the number of coins she has can be calculated as follows:

number of nickels = 90

number of pennies = 150

Therefore,

total number of coins = 150 + 90

total number of coins = 240

If she has n nickels and p pennies, the total coins can be calculated as follows:

number of nickels = n

number of pennies = p

total coins = n + p

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Answer:

Step-by-step explanation:

Find your fractional portion and multiply by the area

=\(\frac{45}{360}\) * \(\pi\) r²      substitute r=10 and simplify

=\(\frac{45*10}{360}\) \(\pi\)         Reduce the fraction

=\(\frac{5\pi }{4}\)       D

Answer:

= 1424.775 in ^3

Step-by-step explanation:

The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x^0.38x^0.962. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

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The equation equivalent to the formula d = rt is t = d/r

What is equation ?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16.

Equations can be classified as either conditional equations or identities. Any value of the variables results in an identity being true. Only certain values of the variables in a conditional equation result in truth. When two expressions are joined together by the equals sign ("="), the result is an equation.

The equation is d = rt

As we need the value of t we take t to the left hand side

∴ t = d/r

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Answer:

I think its 4 because the y intercept should be at -5 and it looks like oits going t a slope of 2. SO i think 4 is correct

Step-by-step explanation:

In the equation showing the product of the means equal to the product of the extremes, the balance is maintained by the property known as the "Multiplication Property of Proportions." According to this property, in a proportion of the form "a/b = c/d," the product of the means (b * c) is equal to the product of the extremes (a * d).

Let's compare the given equations:

Equation 1: (7)(6) = (3)(14)

Equation 2: (7)(6) = (3)(14)

Equation 3: 3 - 14 = 6 - 7

Equation 4: 14 / 3 = 7 / 6

In each equation, the balance of the equation is maintained by ensuring that the product of the means is equal to the product of the extremes or that the difference of the values on both sides of the equation is equal.

In Equation 1 and Equation 2, the product of the means (6 * 3) is equal to the product of the extremes (7 * 14), satisfying the multiplication property of proportions.

In Equation 3, the difference of the values on both sides (3 - 14) is equal to the difference of the values on the other side (6 - 7), maintaining the balance of the equation.

In Equation 4, the division of the values on both sides (14 / 3) is equal to the division of the values on the other side (7 / 6), again satisfying the multiplication property of proportions.

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The Fourier series of the function f(x) on the given interval is:

f(x) = 1/2 + ∑[n=1 to ∞] [((-1)^n)/(nπ)]sin(nπx), -3 ≤ x < 1,

f(x) = x, 1 ≤ x < 3.

The number to which the Fourier series converges at a point of discontinuity of f is not applicable in this case since the function f(x) is continuous on the interval [-3, 3].

The Fourier series represents a periodic function as an infinite sum of sinusoidal functions. In this case, the given function f(x) has different definitions on the intervals -3 ≤ x < 1 and 1 ≤ x < 3.

On the interval -3 ≤ x < 1, the function f(x) is a constant function equal to 1/2. The Fourier series representation of this constant function consists only of the constant term 1/2.

On the interval 1 ≤ x < 3, the function f(x) is defined as x, which is already a sinusoidal function. Therefore, no additional terms are needed in the Fourier series for this interval.

Since the function f(x) is continuous on the given interval [-3, 3], the question regarding the convergence at a point of discontinuity is not applicable in this case.

In summary, the Fourier series of f(x) consists of the constant term 1/2 on the interval -3 ≤ x < 1 and the function x on the interval 1 ≤ x < 3. The function f(x) is continuous, so there are no points of discontinuity where the convergence of the Fourier series needs to be considered.

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Answer:

The Answer would be 8.

Step-by-step explanation:

9 x 8 = 72

Answer:

8

Step-by-step explanation:

72/9 = 8

Therefore, the probability that Sayan can go on the trip without having to replace the hard drive during the trip is approximately 0.868.

Since the number of hours that a computer hard drive can run before it conks off is exponentially distributed with an average value of 5 years, we can use the following exponential probability density function:

f(x) = (1/μ) * exp(-x/μ)

where x is the number of hours, μ is the mean (or average) number of hours, and exp() is the exponential function.

In this case, μ = 5 years * 12 months/year = 60 months. We want to find the probability that the hard drive will not fail during an 8 month trip, given that it has already been in use for 3 years (or 36 months).

Let X be the number of months the hard drive lasts. Then, X is exponentially distributed with mean μ = 60 months. We want to find P(X > 8 + 36 | X > 36).

Using the memoryless property of the exponential distribution, we have:

P(X > 8 + 36 | X > 36) = P(X > 8)

= exp(-8/60)

≈ 0.868

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The measured signal could have a dynamic error of approximately 21.6% of the true value due to the limitations of the 1st order system with a time constant of 0.7 seconds.

The dynamic error that could result from measuring a 2 Hz periodic waveform using a 1st order system with a time constant of 0.7 seconds can be estimated using the following formula:

Dynamic error = 100% x (1 - exp(-T/τ)),

where T is the period of the input signal, τ is the time constant of the system, and exp(-T/τ) is the system's gain at the input frequency.

Substituting T = 0.5 s (since the period of a 2 Hz waveform is 0.5 seconds) and τ = 0.7 s, we get:

Dynamic error = 100% x (1 - exp(-0.5/0.7)) ≈ 21.6%

This means that the measured signal could have a dynamic error of approximately 21.6% of the true value due to the limitations of the 1st order system with a time constant of 0.7 seconds. This error is due to the fact that the system cannot respond fast enough to the rapid changes in the input signal, leading to an output that lags behind the input. The larger the time constant of the system relative to the period of the input signal, the larger the dynamic error will be.

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The width of the two paths is 5 m.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0). For writing a quadratic equation in standard form, the x2 term is written first, followed by the x term, and finally, the constant term is written. The numeric values of a, b, c are generally not written as fractions or decimals but are written as integral values.

Let the width of the two paths be x.

Thus, the total area covered by the paths is = (30×x) + (40×x) - x²

The total area covered by the paths is 325 m².

Equate both of them.

⇒ (30×x) + (40×x) - x² = 325

⇒ 30x + 40x  - x² = 325

⇒ x² -70x + 325 = 0

Solving the above equation, we get

x = 65 or x = 5

The valid solution is x = 5.

Thus, the width of the two paths is 5 m.

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Answer: the answe is not at all close to the actual Nobel rate.

Step-by-step explanation: