.1. (1 point) Which of the following is NOT a requirement for an experiment to be a binomial experiment? • Success and failure each have probability.5. • There is a fixed number of trials. • Trials must be independent • Each trial has two possible outcomes, success and fail- ure.

Answer:

what question all of them if you want to answer all of them go to a new tab and look up calculator hope i help a little

Step-by-step explanation:

Polynomial are mathematical expressions involving variables raised with non-negative integers and coefficients. The factors of the polynomial are (2x+5)(x+7)(x-1), thus , the correct option is C.

Polynomial are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.

Example:

 x² + 3x + 5 is a polynomial.

The complete question is:

Which of the following is the complete factorization of the polynomial below? 2x³ + 17x² + 16x - 35

The factorization of the polynomial can be done as shown below,

2x³ + 17x² + 16x - 35

Writing all the factors of the leading coefficeient and the constant term,

q = ±1, ±2

p = ±1, ±5, ±7, ±35

Further write the factors in the p/q form,

p/q = ±(1/2), ±1, ±(5/2), ±5, ±(7/2), ±7, ±(35/2), ±35.

Testing the factor 1 in the polynomial we will get,

P(1) = 0

Thus, (x-1) is a factor of the polynomial.

Now, if we divide the polynomial by the factor(x-1), then the quotient will be (2x²+19x+35).

Further, factorizing the factor (2x²+19x+35),

2x²+19x+35

= 2x² + 14x + 5x + 35

= (2x+5)(x+7)

Hence, the factors of the polynomial are (2x+5)(x+7)(x-1), thus , the correct option is C.

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find dy/dx

x= t sin(t); (Given in the question)

y= t²+8t; (Given in the question)

then, x= t sin(t)

dx/dt = sin t + t cos t ;

y= t²+8t

dy/dt = 2t + 8;

then, dy/dx = dy/dt x dx/dt

dy/dx = (2t+8)/(sin t + t cos t)

dy/dx = 2(t+4)/(sin t + t cos t)

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Given: Radius of the wheel = 30 inches, Revolutions per minute = 401 rpmThe linear speed of the car in miles per hour can be calculated as follows:

Step 1: Convert the radius from inches to miles by multiplying it by 1/63360 (1 mile = 63360 inches).30 inches × 1/63360 miles/inch = 0.0004734848 milesStep 2: Calculate the distance traveled in one minute by the wheel using the circumference formula.Circumference = 2πr = 2 × π × 30 inches = 188.496 inchesDistance traveled in one minute = 188.496 inches/rev × 401 rev/min = 75507.696 inches/minStep 3: Convert the distance traveled in one minute from inches to miles by multiplying by 1/63360.75507.696 inches/min × 1/63360 miles/inch = 1.18786732 miles/minStep

4: Convert the distance traveled in one minute to miles per hour by multiplying by 60 (there are 60 minutes in one hour).1.18786732 miles/min × 60 min/hour = 71.2720392 miles/hour Therefore, the linear speed of the car is 71.3 miles per hour (rounded to the nearest tenth).Answer: 71.3

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The radius of the wheel on a car is 30 inches. If the wheel is revolving at 401 revolutions per minute, The linear speed of the car is approximately 19.2 miles per hour.

To find the linear speed of the car in miles per hour, we need to calculate the distance traveled in one minute and then convert it to miles per hour. Here's how we can do it step by step:

Calculate the circumference of the wheel:

The circumference of a circle is given by the formula

C = 2πr

where r is the radius of the wheel.

In this case, the radius is 30 inches, so the circumference is

C = 2π(30)

   = 60π inches.

Calculate the distance traveled in one revolution:

Since the circumference represents the distance traveled in one revolution, the distance traveled in inches per revolution is 60π inches.

Calculate the distance traveled in one minute:

Multiply the distance traveled in one revolution by the number of revolutions per minute.

In this case, it is 60π inches/rev * 401 rev/min = 24060π inches/min.

Convert the distance to miles per hour:

There are 12 inches in a foot, 5280 feet in a mile, and 60 minutes in an hour.

Divide the distance traveled in inches per minute by (12 * 5280) to convert it to miles per hour.

The final calculation is (24060π inches/min) / (12 * 5280) = (401π/66) miles/hour.

Approximating π to 3.14, the linear speed of the car is approximately (401 * 3.14 / 66) miles per hour, which is approximately 19.2 miles per hour.

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Answer:

A composite number is a whole number greater than 1 with more than two factors.

Step-by-step explanation:

The value of the Confidence interval will be 3.787

The number of standard deviations from the t-mean distribution is equal to a t-score. The test statistic used in t-tests and regression testing is the t-score. When the data follow a t-distribution, it may also be used to represent how distant an observation is from the mean.

The t-score formula is written as follows:t=¯¯¯x−μS√n t = x ¯ − μ S n , where ¯¯¯x, is the sample mean, is the population mean, S n is the sample size, and x is the standard deviation of the sample. Square root n must be included in the formula.

using tables of t distribution we have

t-score for 99.8%

Confidence Interval (alpha) =1-0.998=0.002

Sample size (n)=15

df=n-1=14

t-score for a 99.8% Confidence Interval will be

t(0.002,14)=3.787

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It depends on the rotational speed of the wheel. To calculate this speed, we need to know the angular velocity of the wheel.

The maximum speed of a point on the outside of the wheel, 15 cm from the axle, if we assume that the wheel is rotating at a constant rate, we can use the formula v = rω, where v is the speed of the point on the outside of the wheel, r is the radius of the wheel (15 cm in this case), and ω is the angular velocity of the wheel. Therefore, the maximum speed of a point on the outside of the wheel would be directly proportional to the angular velocity of the wheel.
The formula to calculate the maximum linear speed (v) is:
v = ω × r
where v is the linear speed, ω is the angular velocity in radians per second, and r is the distance from the axle (15 cm, or 0.15 meters in this case).
Once you have the angular velocity (ω) of the wheel, you can plug it into the formula and find the maximum speed of a point on the outside of the wheel.

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Answer:

I need more info

Step-by-step explanation:

Answer: To determine how many more of the shortest paper chains Rico has than the longest paper chains, you need to know how many paper chains he has of each length. Once you know that, you can subtract the number of longest paper chains from the number of shortest paper chains to find the difference.

For example, if Rico has:

- 10 paper chains that are 3 inches long

- 8 paper chains that are 5 inches long

- 6 paper chains that are 7 inches long

Then the shortest paper chains are the ones that are 3 inches long, and the longest paper chains are the ones that are 7 inches long. To find the difference, you can subtract the number of longest paper chains (6) from the number of shortest paper chains (10):

10 - 6 = 4

Therefore, Rico has 4 more of the shortest paper chains than the longest paper chains.

Step-by-step explanation:

The function used to represents the time spend by Jasmine in biking for a distance of d miles is given by f(d) = d / 18.

The time Jasmine spends biking is indeed a function of the distance she bikes.

The formula to calculate the time Jasmine takes to bike a certain distance is equal to,

time = distance / speed __(1)

Here the speed is the rate at which Jasmine bikes = 18 miles per hour.

Let us consider 'd' be the distance representing the number of miles Jasmine bikes.

This implies,

The function that represents the time Jasmine spends biking in terms of the distance .

Function f(d)  representing the time Jasmine spends biking for a distance of d miles

Substitute all the values in the formula (1) we get,

⇒ f(d) = d / 18

Therefore, the function representing the time spend by Jasmine for distance d is equal to f(d) = d / 18.

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The above question is incomplete , the complete question is:

The time Jasmine spends biking is a function of the distance she bikes. Jasmine bikes 18 miles per hour. Assume she bikes at a constant rate.

Write the function representing the time Jasmine spends biking in terms of the distance?

Answer:

64?

Step-by-step explanation:

Answer:

$16.08

Step-by-step explanation:

13.75+2.33=16.08

Answer:

triangle GHK

Step-by-step explanation:

angles add up to 180

angle N + angle M + angle O = 180

79 + 22 + angle N = 180

180 - 79 -22 = angle N = 79

triangle GHK has 2 of the same angles (79 and 79), so that is our answer

Answer:

≈8.66

Step-by-step explanation:

Pls mark me brainliest :))

Answer:

h= 8.7 cm

Step-by-step explanation:

5^2 + h^2 = 10^2

25 + h^2 = 100

25-25= 0   100-25=75

h^2 = 75

\(\sqrt{75}\)= 8.7

h=8.7

hope this helps :)

please crown me brainliest!!!!!

The last to appear in the ones position of a number in the Fibonacci sequence is 6.

The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21 , … starts with two 1s, and each term afterward is the sum of its two predecessors.

The next terms are:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.

Here, it can be seen that  is the last to appear in the ones position of a number in the Fibonacci sequence.

Thus, The last to appear in the ones position of a number in the Fibonacci sequence is 6.

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To test the hypothesis that the mean weight of two sheets is equal (μ1 - μ2) against the alternative that it is not, and assuming equal variances, we can use a two-sample t-test. The t-statistic can be calculated using the following formula:

t = (x1 - x2) / (s_p * sqrt(1/n1 + 1/n2))

where:

x1 and x2 are the sample means of the two sheets,

s_p is the pooled standard deviation,

n1 and n2 are the sample sizes.

The pooled standard deviation (s_p) can be calculated using the following formula:

s_p = sqrt(((n1 - 1) * s1^2 + (n2 - 1) * s2^2) / (n1 + n2 - 2))

where:

s1 and s2 are the sample standard deviations.

To calculate the t-statistic, we need the sample means, sample standard deviations, and sample sizes.

Once you provide the specific values for these variables, I can assist you in calculating the t-statistic to 3 decimal places.

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To test the hypothesis that the mean weight of the two sheets is equal (μ1 - μ2) against the alternative that it is not, we can use a paired t-test assuming equal variances. The paired t-test is used when we have paired data or measurements on the same subjects or objects.

The t-statistic for a paired t-test is calculated as follows:

t = (X1 - X2) / (s / √n)

where X1 and X2 are the sample means of the two samples, s is the pooled standard deviation, and n is the number of pairs.

Please provide the sample means, standard deviation, and sample size for each sheet so that we can calculate the t-statistic to 3 decimal places.

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Answer:

yes tht is correct 180 degrees is a straight line

Step-by-step explanation:

Answer:

you can say y=0.50m+15t

1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.

x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.

2) The given expression is:

(5-2x)/(x+2) + x^2/(x^2-4) - 5

To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:

[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]

Expanding the brackets and simplifying, we get:

(-x^3 - 3x^2 - 3x + 5) / [(x+2)(x-2)]

This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.

(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.

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Answer:

The value of an exterior angle is the sum of the two interior angles not adjacent to it so

a:

x = 64 + 45 = \(\boxed{109}\)

b:

3x + 6 = 153 so

3x = 147 so

x = \(\boxed\)\(\boxed{49}\)

Answer:

Someone for real deleted my answer just because they got mad that I said theres no graph, I'm dead IMAO XD

Step-by-step explanation:

Answer:

where's the graph?

Step-by-step explanation:

(a)The solution to \(y[n]\) with the given initial condition and input sequence is: \[y[n] = \{1, 1.5, 1.75, 1.875, \ldots\}\]

(b) The solution to \(y[n]\) with the given initial conditions and input sequence is: \[y[n] = \left\{\frac{1}{3}, -\frac{1}{18}, \frac{5}{54}, \ldots\right\}\]

(a) To find the solution to \(y[n]\) when \(y[-1]=1\) and \(x[n]=u[n]\), we can recursively apply the given system equation.

Given:

\[y[n] = 0.5y[n-1] + x[n]\]

\(y[-1] = 1\) (initial condition)

\(x[n] = u[n]\) (unit step input)

To solve for \(y[n]\), we can substitute the values and iterate through the equation:

For \(n = 0\):

\[y[0] = 0.5y[-1] + x[0] = 0.5 \cdot 1 + 1 = 1.5\]

For \(n = 1\):

\[y[1] = 0.5y[0] + x[1] = 0.5 \cdot 1.5 + 1 = 1.75\]

For \(n = 2\):

\[y[2] = 0.5y[1] + x[2] = 0.5 \cdot 1.75 + 1 = 1.875\]

And so on...

The solution to \(y[n]\) with the given initial condition and input sequence is:

\[y[n] = \{1, 1.5, 1.75, 1.875, \ldots\}\]

(b) To solve the difference equation \[y[n] = \frac{1}{3}x_1[n] - 0.5y[n-1] + 0.25y[n-2]\] with the given initial conditions \(y[-1]=0\) and \(y[-2]=1\) and the input sequence \(x_1[n]=\left(\frac{1}{3}\right)^n\), we can use a similar iterative approach.

For \(n = 0\):

\[y[0] = \frac{1}{3}x_1[0] - 0.5y[-1] + 0.25y[-2] = \frac{1}{3} - 0.5 \cdot 0 + 0.25 \cdot 1 = \frac{4}{12} = \frac{1}{3}\]

For \(n = 1\):

\[y[1] = \frac{1}{3}x_1[1] - 0.5y[0] + 0.25y[-1] = \frac{1}{3} \cdot \left(\frac{1}{3}\right)^1 - 0.5 \cdot \frac{1}{3} + 0.25 \cdot 0 = \frac{1}{9} - \frac{1}{6} = -\frac{1}{18}\]

For \(n = 2\):

\[y[2] = \frac{1}{3}x_1[2] - 0.5y[1] + 0.25y[0] = \frac{1}{3} \cdot \left(\frac{1}{3}\right)^2 - 0.5 \cdot \left(-\frac{1}{18}\right) + 0.25 \cdot \frac{1}{3} = \frac{1}{27} + \frac{1}{36} + \frac{1}{12} = \frac{5}{54}\]

And so on...

The solution to \(y[n]\) with the given initial conditions and input sequence is:

\[y[n] = \left\{\frac{1}{3}, -\frac{1}{18}, \frac{5}{54}, \ldots\right\}\]

The iteration process can be continued to find the values of \(y[n]\) for subsequent values of \(n\).

It's important to note that in part (b), the input sequence \(x_1[n] = \left(\frac{1}{3}\right)^n\) was used instead of \(x[n]\) to solve the difference equation.

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It will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.

To solve this problem, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV = Future Value

P = Payment (deposit amount)

r = Interest rate per compounding period

n = Number of compounding periods

In this case, Vincent deposits $165 at the end of each quarter, so P = $165. The annual interest rate is 6%, compounded quarterly, so the interest rate per compounding period, r, would be 6% divided by 4 (since there are 4 quarters in a year), which is 0.06/4 = 0.015.

We want to find the number of years, n, it will take for Vincent's savings to reach $9,000. Let's substitute the given values into the formula and solve for n:

9,000 = 165 * [(1 + 0.015)^n - 1] / 0.015

To solve this equation, we can use algebraic techniques or a financial calculator. Solving the equation, we find that n is approximately 15.83.

Since n represents the number of quarters, we need to convert it to years by dividing it by 4 (since there are 4 quarters in a year):

n (in years) = 15.83 / 4 ≈ 3.96

Therefore, it will take approximately 3.96 years (or approximately 3 years and 11 months) for Vincent's savings to reach $9,000.

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Answer:

#2

Step-by-step explanation:

The set value will be 5. If x is 0, y will be 5 since the equation states y = 5 + 2x. If x = 1, y will equal 3 since 5 - 2 is 3 (2 times 1 since x is 1). If x equals 2, y will equal 1 because 2(2) is 4 and 5 - 4 is 1. All the x values are true which is why the answer is #2

Answer: $19,610

Step-by-step explanation:

53000(.37)=19610

The y-coordinate of the point that divides the directed line segment from J to K into a ratio of is 5.

The coordinates of point that divides the line segment into m:n ratio can be obtained as follows,

Coordinates of point = \((\frac{mx_{2}+ nx_{1} }{m+n} \frac{my_{2}+ ny_{1}}{m+n} )\)

The coordinate of point J is (-3,1)

The coordinate of point K is (-8,11)

Consider the point that divides the line segment into 2:3 ratio as P(x,y).

The coordinates of point that divides the line segment into 2:3 ratio can be calculated as follows,

\(Coordinates of P = (\frac{3(-3)+2(-8)}{2+3}, \frac{3(1)+2(11)}{2+3} )\)

\(= (\frac{-9-16}{5}, \frac{3+22}{5} )\\\\= (\frac{-25}{5} \frac{25}{5} )\)

= (-5,5)

Hence the answer is The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:3 is 5.

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It is more convenient to integrate with respect to y.

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

To sketch the region enclosed by the curves y = 3x² and y = 5x - 2x² and determine whether to integrate with respect to x or y, we can analyze the intersection points and the shape of the curves.

First, let's find the intersection points by setting the equations equal to each other:

3x² = 5x - 2x²

Combining like terms:

5x² - 5x = 0

Factoring out x:

x(5x - 5) = 0

Solving for x:

x = 0 or x = 1

So the curves intersect at x = 0 and x = 1.

Next, we can analyze the behavior of the curves to determine the orientation of the region.

For y = 3x², we have a parabola that opens upwards. This curve lies below the x-axis and is symmetric with respect to the y-axis.

For y = 5x - 2x², we have a downward-opening parabola. This curve lies above the x-axis and is symmetric with respect to the y-axis.

Based on this information, we can sketch the region enclosed by the curves.

The region enclosed by the curves is bounded by the curves themselves and the x-axis. It is the area between the curves from x = 0 to x = 1.

To determine whether to integrate with respect to x or y, we can observe that the region is vertically oriented, meaning it extends vertically between the curves.

Therefore, it is more convenient to integrate with respect to y.

To draw a typical approximating rectangle, we can choose a small interval along the y-axis and draw a rectangle that spans between the curves for that particular y-interval. This rectangle will represent an approximation of the region's area.

Hence, it is more convenient to integrate with respect to y.

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Mr. Ortez told each student in his class to pick a folded piece of graph paper from a bowl. He instructed them to study the graph on the paper and describe it to the class if they have a graph showing equivalent ratios. Four students gave a description, but only one was correct. The description that is correct is a graph that connects 3 points connected by a straight line that passes through (5, 0).

Equivalent ratios are the ratios that might be identical while we compare them. or more ratios may be in comparison with every other to test whether they are equal or now not. for instance, 1:2 and 2:four are equal ratios.

The land equivalent ratio is an idea in agriculture that describes the relative land vicinity required beneath sole cropping (monoculture) to supply the equal yield as under intercropping (polyculture).

A ratio compares two quantities of equal units. Reasoning proportionally the usage of multiplication and division produces equivalent ratios. equal ratios are beneficial to make comparisons.

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