what is the range and domain of this question? im unsure​

Answer:

<7 58

<5 47

<6 75

<4 107

<8 73

<9 49

all triangles add up to 180 and all lines add up to 180

If Allie spins the spinner 2 times. the probability that Allie spins A on the first spin and & on the second spin is: B. 1/16.

Based on the information provided, the spinner has four possible outcomes: K, S, A, and %, each with equal probability of 1/4.

To find the probability that Allie spins A on the first spin and & on the second spin, we need to multiply the probability of spinning A on the first spin (1/4) by the probability of spinning & on the second spin (1/4), because the two events are independent.

Therefore, the probability is:

P(A on first spin and & on second spin) = P(A) × P(&) = (1/4) × (1/4) = 1/16

So the probability that Allie spins A on the first spin and & on the second spin is 1/16.

Learn more about probability here:https://brainly.com/question/24756209

#SPJ1

The value of is 1.645. This is derived from the area under the normal curve between 0 and 1.645 being equal to 0.25, which is one-fourth of the total area under the entire curve.

To calculate this, we must first understand the concept of the Standard Normal Distribution. The Standard Normal Distribution is a normal distribution with a mean of 0 and a standard deviation of 1. This is the basis of the calculation.

Next, we need to understand the concept of the cumulative probability density function. This is a function that gives the probability that a variable will take a value that is less than or equal to a given value.

For our calculation, we will use the cumulative probability density function for the Standard Normal Distribution.

Now, to calculate the value of , we can use the cumulative probability density function. We will set the cumulative probability density function equal to 0.25.

This is the probability that a variable will take a value that is less than or equal to . Solving for, we get 1.645. This is the value of.

For more questions like Normal curve visit the link below:

https://brainly.com/question/12867171

#SPJ4

Answer:

point a is (-1,-2)

point b is (-2,-4)

point c is (-3,-4)

point d is (-4-2)

The general solution of the nonhomogeneous differential equation \(2y""' + y" + 2y' + y = 2t^2 + 3\) is \(y(t) = c_1 * e^(^-^t^) + c_2 * cos(t/\sqrt{2} ) + c_3 * sin(t/\sqrt{2} ) + (1/2)t^2 + (3/2)\), where \(c_1\), \(c_2\), and \(c_3\) are arbitrary constants.

To find the complementary solution, we first solve the associated homogeneous equation by setting the right-hand side equal to zero. The characteristic equation is \(2r^3 + r^2 + 2r + 1 = 0\), which can be factored as \((r + 1)(2r^2 + 1) = 0\). Solving for the roots, we have r = -1 and r = ±i/√2. Therefore, the complementary solution is \(y_c(t) = c_1 * e^(^-^t^) + c_2 * cos(t/\sqrt{2}) + c_3 * sin(t/\sqrt{2} )\), where \(c_1\), \(c_2\), and \(c_3\) are arbitrary constants.

To find the particular solution, we consider the form \(y_p(t) = At^2 + Bt + C\), where A, B, and C are constants to be determined. Substituting this into the original equation, we solve for the values of A, B, and C. After simplification, we find A = 1/2, B = 0, and C = 3/2. Hence, the particular solution is \(y_p(t) = (1/2)t^2 + (3/2)\).

Therefore, the general solution of the nonhomogeneous differential equation is \(y(t) = y_c(t) + y_p(t) = c_1 * e^(^-^t^) + c_2 * cos(t/\sqrt{2}) + c3 * sin(t/\sqrt{2} ) + (1/2)t^2 + (3/2)\), where \(c_1\), \(c_2\), and \(c_3\) are arbitrary constants.

To learn more about Differential equations, visit:

https://brainly.com/question/18760518

#SPJ11

Answer:

y – 8 = –0.2(x + 10)

Step-by-step explanation:

Edge 2020

Answer:

The Answer is option C y – 8 = –0.2(x + 10)

Step-by-step explanation:

a) \(X_{1}\) and \(X_{2}\) are the two choice variables in this issue.

b) In addition to the non-negativity criteria, this problem contains three further constraints.

c) The optimal solution for this linear programming model is \(X_{1}\) = 4 and  \(X_{2}\)  = 3, with an optimal objective function value of 28.

A) This problem has two decision variables,  \(X_{1}\)  and  \(X_{2}\) .

B) This problem has three other constraints apart from the non-negativity constraints. They are:

\(X_{1}\)  + 2\(X_{2}\) ≤ 10

6\(X_{1}\) + 6\(X_{2}\) ≤ 36

\(X_{1}\)  ≤ 4

C) To find the optimal solution value for  \(X_{1}\)  and  \(X_{2}\) , we need to solve the linear programming model using a suitable method such as the simplex method. Solving the problem using the simplex method, we get the optimal solution as:

\(X_{1}\)  = 4,  \(X_{2}\)  = 3

The optimal objective function value is Z = 4 \(X_{1}\)  + 5\(X_{2}\) = 4(4) + 5(3) = 28. Therefore, the optimal solution for this linear programming model is \(X_{1}\) = 4 and  \(X_{2}\) = 3, with an optimal objective function value of 28.

To learn more about variables here:

https://brainly.com/question/31432068

#SPJ4

Step-by-step explanation:

1. f(x) = 6x - 14

Slope is the coefficient of x

Slope = 6

2. f (x) =6x+ 9 +x

f(x) = 7x +9

Slope = 7

3. The last option because it is not a line.

4. The third option. x and y do not get multiplied in linear equations.

5. The last option.

the first one is y=x

the second one is y =-x

the third one is y=0x - 2

the last one is wrong because if x is - 1 or - 2 twice, it should still give the same vue for y.

I hope this helps.

Please gimme brainliest. Thank you

The interval does not contain 0, so we can conclude that there is evidence that some washers get damaged during shipment. However, the interval is quite wide, so we cannot be very precise about the proportion of damaged washers.

A confidence interval is a range of values that are constrained by the statistic's mean and that is likely to include an unidentified population parameter. The proportion of likelihood, or certainty, that the confidence interval would include the real population parameter when a random sample is drawn several times is referred to as the confidence level.

a. To construct a confidence interval for the proportion of appliances that get damaged during shipment, we need to check if the following assumptions and conditions are met:

1. Random sampling: The sample of 60 washers should be a random sample from the population of all washers that the manufacturer ships.

2. Independence: The status of one washer being damaged should not affect the status of any other washer. This assumption is reasonable if the washers are inspected and handled independently of each other.

3. Success-Failure Condition: Both the number of successes (washers with damage) and failures (washers without damage) in the sample should be at least 10. In this case, we have 5 successes and 55 failures, so the success-failure condition is met.

If all the assumptions and conditions are met, then we can construct a confidence interval for the proportion of damaged appliances.

b. We can use the formula for the confidence interval for a proportion:

CI = p ± z√(p(1-p)/n)

where:

p = proportion of damaged appliances in the sample

z = critical value from the standard normal distribution for the desired level of confidence (95% in this case)

n = sample size

In this case, we have:

p = 5/60 = 0.0833

z = 1.96 (from a standard normal distribution table for a 95% confidence level)

n = 60

Plugging in the numbers, we get:

CI = 0.0833 ± 1.96√(0.0833(1-0.0833)/60)

CI = 0.0833 ± 0.063

So the 95% confidence interval for the proportion of damaged appliances is (0.020, 0.146).

c. We are 95% confident that the true proportion of damaged appliances in the population of all washers shipped by this manufacturer is between 0.020 and 0.146.  

The interval does not contain 0, so we can conclude that there is evidence that some washers get damaged during shipment. However, the interval is quite wide, so we cannot be very precise about the proportion of damaged washers.

To learn more about the confidence interval;

https://brainly.com/question/24131141

#SPJ1

To approximate the value of π using the Leibniz method, you can write a Python program that calculates the sum of the series up to a certain number of terms. The more terms you include in the series, the closer the approximation will be to the actual value of π.

The Leibniz method, also known as the Leibniz formula for π, is an infinite series that converges to π/4. The formula is given by:

π = 4(1 - 1/3 + 1/5 - 1/7 + 1/9 - 1/11 + ...)

To approximate π, you can calculate the sum of the series up to a certain number of terms. The more terms you include, the more accurate the approximation will be.

In Python, you can write a program that iterates through the terms of the series and accumulates the sum. Here's an example of how you can implement it:

def approximate_pi(num_terms):

   pi = 0

   sign = 1

for i in range(1, num_terms*2, 2):

       term = sign * (1/i)

       pi += term

       sign *= -1

   return pi * 4

num_terms = 100000  # Choose the number of terms for the approximation

approximation = approximate_pi(num_terms)

In this example, we define the approximate_pi function that takes the number of terms as an argument. The function iterates from 1 to num_terms*2 with a step size of 2, representing the denominators of the series. The sign alternates between positive and negative to include the alternating addition and subtraction. Finally, we return the calculated sum multiplied by 4 to obtain the approximation of π.

By increasing the value of num_terms, you can achieve a more accurate approximation of π. However, keep in mind that the Leibniz method converges slowly, so a large number of terms may be needed for a precise approximation.

To learn more about python

brainly.com/question/30391554

#SPJ11

Answer:

A

Step-by-step explanation:

the Least common factor is 12

17/3 (x-3/2) =-5/4

17/2x -17/2 =-5/4

12*17/3x -12*17/2 = 12*-5/4

4*17x - 6*17= 3*-5

68x -102= -15

68x= 102-15

68x= 87

x=87/68

Part (a)

Consecutive odd integers are integers that odd and they follow one right after another. If x is odd, then x+2 is the next odd integer

For example, if x = 7, then x+2 = 9 is right after.

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

Part (b)

The consecutive odd integers we're dealing with are x and x+2.

Their squares are x^2 and (x+2)^2, and these squares add to 394.

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

Part (c)

We'll solve the equation we just set up.

x^2 + (x+2)^2 = 394

x^2 + x^2 + 4x + 4 = 394

2x^2+4x+4-394 = 0

2x^2+4x-390 = 0

2(x^2 + 2x - 195) = 0

x^2 + 2x - 195 = 0

You could factor this, but the quadratic formula avoids trial and error.

Use a = 1, b = 2, c = -195 in the quadratic formula.

\(x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(1)(-195)}}{2(1)}\\\\x = \frac{-2\pm\sqrt{784}}{2}\\\\x = \frac{-2\pm28}{2}\\\\x = \frac{-2+28}{2} \ \text{ or } \ x = \frac{-2-28}{2}\\\\x = \frac{26}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 13 \ \text{ or } \ x = -15\\\\\)

If x = 13, then x+2 = 13+2 = 15

Then note how x^2 + (x+2)^2 = 13^2 + 15^2 = 169 + 225 = 394

Or we could have x = -15 which leads to x+2 = -15+2 = -13

So, x^2 + (x+2)^2 = (-15)^2 + (-13)^2 = 225 + 169 = 394

We get the same thing either way.

Answer:

34°

Step-by-step explanation:

Height of the tree=Perpendicular=24ft

Length of shadow=Base=36ft

Tan∅=Perpendicular/Base

Tan∅=24/36

Tan∅=2/3

∅=Tan-¹ (2/3)

∅=33.69°=34°

Answer:

9000

Step-by-step explanation:

Answer:

\(5(t - g) = 2t + 7 \\ 5t - 5g = 2t + 7 \\ 5t - 2t = 7 + 5g \\ 3t = 7 + 5g \\ t = \frac{7 + 5g}{3} \)

The variance of the number of occasions a 6 appears when a fair die is thrown 12 times is 0.156.

It determines the likelihood of achieving a specific number of successes over a specific number of trials with a consistent success rate using the binomial distribution.

With a 1/6 likelihood of success for each trial, the number of successes in this example is equal to the number of 6s that occur.

The probability of each conceivable value of the quantity of 6s that appear may be calculated using the binomial formula. The likelihood of receiving exactly 0 number of 6s is (12 choose 0) ×\((\frac{1}{6})^0\) × \((\frac{5}{6}) ^{12}\) = 0.1680. The probability of getting exactly 1 number of 6 is (12 choose 1) × \((\frac{1}{6})^1\) × \((\frac{5}{6})^{11}\) = 0.4401. The probability of getting exactly 2 numbers of 6s is (12 choose 2) × \((\frac{1}{6})^2\) × \((\frac{5}{6})^{10}\) = 0.3744. And so on.

The likelihood of receiving 0 6s, for instance, multiplied by the square of the 0's divergence from 2 is 0.1680 × (0 - 2)² = 0.7056. The likelihood of receiving 1 6 when multiplied by the square of the difference between 1 and 2 is 0.4401 × (1 - 2)² = 0.4401. And so on.

To get the anticipated value of the squared departure of the number of 6s that occur from 2, we may finally total up all of these probabilities.

This predicted value is equal to 1.8801 by adding 0.7056, 0.4401, 0.3744, 0.1596, 0.0368, and 0.0036.

The range in the number of 6s that appear after tossing a fair die 12 times is thus 1.8801.

To express the variation in decimal notation, divide the difference by the total number of rolls (12), then round the output to the closest three decimals.

As a consequence, we obtain a variance of 0.1567. The variance in the number of occasions a 6 appears when a fair dice is rolled 12 times is thus 0.1567.

Learn more about probability at

https://brainly.com/question/29098847?referrer=searchResults

#SPJ4

a) To find the equation of the line tangent to the graph of f at x = e^2, we need to find the slope of the tangent line and the y-intercept. The slope of the tangent line is given by the derivative of f evaluated at x = e^2: f'(e^2) = (1 - ln(e^2))/(e^2)^2 = (1 - 2)/e^4 = -1/e^4

The y-intercept is found by plugging x = e^2 into the original function and finding the corresponding y-value: f(e^2) = ln(e^2)/e^2 = 2/e^2

We can use this information to write the equation of the tangent line in point-slope form: y - f(e^2) = -1/e^4(x - e^2)

b) To find the x-coordinate of the critical point of f, we need to find the value of x at which f'(x) = 0 or is undefined.

f'(x) = (1 - lnx)/x^2

When we set f'(x) to 0, we get 1 - lnx = 0 lnx = 1 x = e.

As a result, the critical point is at x = e.To determine whether this point is a relative minimum, a relative maximum, or neither, we need to find the second derivative of f(x) and evaluate it at x = e.

f''(x) = -(1 + lnx)/x^3

Evaluating at x = e, we get: f''(e) = -(1 + ln(e))/e^3 = -(1 + 1)/e^3 = -2/e^3

Since the second derivative is negative, the critical point is a relative maximum.

c) To find the x-coordinate of the point of inflection, we need to find the value of x at which f''(x) = 0.

f''(x) = -(1 + lnx)/x^3

Setting f''(x) = 0, we get 1 + lnx = 0 lnx = -1 x = e^-1

So the point of inflection is at x = e^-1.

d) To calculate f(x) = lnx/x, we need to substitute the value of x into the function. f(x) = lnx/x

For example, if we want to calculate f(2) f(2) = ln(2)/2 = 0.693147180559945/2 = 0.346573590279973

So f(2) = 0.346573590279973

The measures of the side are: (c) PQ = 26 cm, PR = 28 cm

What is Circumscribed Circle?

Given that a triangle PQR is drawn to circumscribe a circle of radius 8 cm and the segments QT and TR are of length 14 cm and 16 cm respectively.

Let O be the center of the circle.

Let S and U be the points on PQ and PR.

Here, QS = QT = 14 cm and UR = TR = 16 cm.

Then, PS = PU = x cm

It is given that,

Area of ΔPOQ + Area of ΔQOR + Area of ΔPOR = 336 cm²  

\(\implies \frac{1}{2} \times PQ \times 8 + \frac{1}{2} \times QR \times 8 + \frac{1}{2} \times PR \times 8 =336\\\)     -----(1)

Here, height, h = 8 cm.

Also, PQ = 14 + x; PR = 16 + x and QR = 14 + 16 = 20 cm

Now, substituting the values in (1), we get

\(\implies \frac{1}{2} \times (14 + x) \times 8 + \frac{1}{2} \times 20 \times 8 + \frac{1}{2} \times (16 + x) \times 8 =336\\\implies 14+x+30+16+x=84\)

Solving further, we get

\(2x=24\\\implies x=12\)

So, PQ = 14 + 12 = 26 cm; and PR = 16 + 12 =28 cm

Therefore, the measures of the sides are: (c) PQ = 26 cm, PR = 28 cm

To learn more about Circumscribed Circle from the given link

https://brainly.com/question/25938130

#SPJ1

Complete Question: A triangle PQR is drawn to circumscribe a circle of radius 8 cm such that the segments QT and TR, into which QR is divided by the point of contact T, are of length 14 cm and 16 cm respectively. If the area of the given triangle is 336 cm², find the measures of the sides PQ and PR.

Hey there!

-8/-4

= 8/4

= -8 ÷ -4

= 8 ÷ 4

= 2

Therefore, your answer is:

Option B. 2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

t = time in seconds after the ball was thrown

h(t) =  the height of the ball after t seconds.

h(t)=−16t2+64t+80

Question (1): What is the maximum height of the ball?

Remember that the graph of the function is a parabola open down because the leading coefficient is negative. Therefore, to get the maximum height we just have to find the vertex of this parabola. Since the function is in standard form h(t) = at2+bt+c, the formula for getting the vertex is:

V(h,k) = (-b/(2a), h(-b/(2a)))

-b/(2a) = -64/(2*(-16)) = 2 seconds (the time it reaches the highest point.)

h(-b/(2a)) = h(2) = -16(2)2 + 64(2) + 80 = 144 feet (Maximum height)

Question (2): How many seconds does it take until the ball hits the ground?

If it hits the ground, it means the height is zero. h(t)=0.

0= -16t2 + 64t + 80

Factor:

0 = -16(t2 - 4t - 5)

0 = -16(t - 5) (t + 1)

t-5 =0 or t+1=0

We eliminate t+1=0 because of the negative value of t. Time should always be positive in this case.

t = 5 seconds to hit the ground.

The solution is, 0.85 is the area under the density curve from 20 to 100.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

given that,

Suppose the sample space for a continuous random variable is 0 to 100. If the area under the density curve for the variable from 0 to 20 is 0.15

The area under the density curves for the continuous random variables always add up to unity.

Thus, the area under the density curve from 20 to 100 is ;

1 - 0.15

which is;

1 - 0.15

= 0.85

Hence, The solution is, 0.85 is the area under the density curve from 20 to 100.

To learn more on Area click:

brainly.com/question/20693059

#SPJ7

Answer:

third one

Step-by-step explanation:

can you help me with my question In the extended simile of the underlined passage from Paragraph 15 of "A Wagner Matinee," the narrator makes an observation about the soul that aring rokol been A. it is like a strange moss on a dusty shelf that, with excruciating suffering, can wither and die y for I the be B though after excruciating suffering it may seem to wither, the soul never dies, C. excruciating, interminable suffering that goes on for half a century can kill the soul.

Answer:

The concept of identity, the meaning we give to ourselves and our sense of purpose, connects us to others. This concept best illustrates the link between the psychological and ____ system

Answer:

6\(m^{2}\)\(n^{2}\)-4mn+6

Step-by-step explanation:

\( = (11 {m}^{2} {n}^{2} + 2mn - 11) - (5 {m}^{2} {n}^{2} - 6mn + 17)\)

\( = 11 {m}^{2} {n}^{2} + 2mn - 11 - 5 {m}^{2} {n}^{2} + 6mn - 17\)

\( = (11 {m}^{2} {n}^{2} - 5 {{m}^{2} } {n}^{2} ) + (2mn + 6mn) + ( - 11 - 17)\)

\( = 6 {m}^{2} {n}^{2} + 8mn - 28\)

The other person is wrong

I can say that for sure.

Answer:

The answer is C

Step-by-step explanation:

In these questions you have to remember crawl before you walk. So x First then y match up the coordinates (-4,9) and such and the answer should reveal itself.

Regards,

Fellow 8th grader, Abdelmumen Nakoa

Answer:

41 4/13

Step-by-step explanation:

brainlest plz?

Answer:hmmm

Step-by-step explanation:

The innovation that was made possible in part because of the Carterfone decision in 1968 is the public Internet. The correct answer is option C

The Carterfone decision was a landmark ruling by the Federal Communications Commission (FCC) that allowed for the interconnection of third-party devices to the telephone network. Prior to this decision, telephone companies had a monopoly on the equipment that could be used on their networks, and customers were not allowed to attach their own devices.

This decision paved the way for the development of the public Internet by allowing for the interconnection of third-party devices to the telephone network, which enabled the creation of new technologies, such as modems. Without the Carterfone decision, the public Internet as we know it today may not have been possible.

Know more about innovation here:

https://brainly.com/question/30929075

#SPJ11