i need help on question 3

The correct option C. Rejecting a true null hypothesis, is the probability in  significance level in hypothesis testing.

By testing an experimental component against a no effect or even no relationship hypothesis based on a specific observation, NHST is a statistical inference technique.

Thus, the likelihood of rejecting a valid null hypothesis determines the significance level in hypothesis testing.

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9514 1404 393

Answer:

  (a) 1 rational root and 2 complex roots

Step-by-step explanation:

If you believe the description of the point of intersection, it represents a single real (and rational) root of the equation. Then the other two roots must be complex. The equation has (reportedly) ...

  1 rational root and 2 complex roots

_____

Additional comment

In fact, the only real root is irrational, near -1.8392867552141611326. It is not x = -2. Trying x = -2 in the equation gives -8 +4 = -2 -1, a false statement.

Answer:

a

Step-by-step explanation:

Answer:

This equation involves three variables: a, b, and c. Each variable is multiplied by a coefficient and then added together to equal a constant. To solve the equation, we must first determine what the value of the three variables are. To do this, we must use the coefficients to isolate each variable. We can start by isolating c. Divide both sides of the equation by 4 to get 2a + 9b = c. Now we can isolate b by subtracting 2a from both sides to get 9b = c - 2a. Divide both sides by 9 to get b = (c - 2a)/9. Finally, we can isolate a by subtracting 9b from both sides to get 2a = 4c - 9b. Divide both sides by 2 to get a = (4c - 9b)/2. Once we have the values of the three variables, we can substitute them into the original equation to check our work.

Step-by-step explanation:

Answer:

a=\frac{4c-9b}{2}

Answer:

Step-by-step explanation:

Main Answer: The given identity, 1 - cos(x)(1 + cos(x)) = 1 + cot^3(x), can be proven using the trigonometric identity: 1 + cot^2(x) = csc^2(x).

Supporting Explanation:

Starting with the left-hand side (LHS) of the equation, we can expand it: 1 - cos(x) - cos(x) + cos^2(x). Simplifying further, we have 1 - 2cos(x) + cos^2(x). Now, using the identity: cos^2(x) = 1 - sin^2(x), we can substitute and get 1 - 2cos(x) + 1 - sin^2(x). Simplifying again, we have 2 - 2cos(x) - sin^2(x).

Moving on to the right-hand side (RHS), we need to express it in terms of cos(x). We know that cot(x) = cos(x)/sin(x). Therefore, cot^3(x) = (cos(x)/sin(x))^3 = cos^3(x)/sin^3(x). Using the identity sin^2(x) = 1 - cos^2(x), we can rewrite the RHS as 1 + (cos^3(x)/(1 - cos^2(x))). Simplifying further, we have 1 + (cos^3(x)/(sin^2(x))).

To continue the proof, we need to express sin^2(x) in terms of cos(x). Using the identity sin^2(x) = 1 - cos^2(x), we can substitute and rewrite the RHS as 1 + (cos^3(x)/(1 - cos^2(x))) = 1 + (cos^3(x)/(1 - (1 - sin^2(x)))) = 1 + (cos^3(x)/(sin^2(x))).

Comparing the simplified LHS and RHS expressions, we can see that they are equal, which proves the given identity: 1 - cos(x)(1 + cos(x)) = 1 + cot^3(x).

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Mean is average 11 x 2 = 22

The two cards need to equal 22 when added together.

the difference is 6:

6/2 = 3

11-3 = 8

11+ 3 = 14

14 +8 = 22

the two numbers are 8 and 14

Answer:

A. 1 7/10x+2 1/2y+6

B. 7/10x+2 1/2y+6

C. 7/10x+8 1/2y+6

D. 1 7/10x+4 1/4y+3

Answer:154

Step-by-step explanation:

12+12=24 24+1=25 25-10=15

Answer:

27.

Step-by-step explanation:

3 to the power of 3 = 3*3*3

3*3 = 9.

9*3 = 27

Hope this helps!

Answer:

See below.

Step-by-step explanation:

top left

9 × 9 = 81

9/81 = 1/9

top right

9 × 9 = 81

36/81 = 4/9

bottom left

6/72 = 1/12

bottom right

12/72 = 1/6

Answer:

look at picture :) !

Step-by-step explanation:

Answer:

y= 1/3x

Step-by-step explanation:

points on the graph

(0,0), (3,1)

function as per above two points:

y= 1/3x

The 90% confidence interval for the true population mean backpack weight is (32.93, 45.07) ounces.

We can use the formula for a confidence interval for the population mean:

CI = \(\bar{X}\) ± z*(σ/√n)

where \(\bar{X}\)  = sample mean

σ = population standard deviation

n = sample size

z = critical value from the standard normal distribution for the desired confidence level (90% in this case)

± represents the interval around the sample mean.

Plugging in the values given, we get:

CI = 39 ± 1.645*(14.8/√22)

Simplifying and computing, we get:

CI = (32.93, 45.07)

So the 90% confidence interval for the true population mean backpack weight is (32.93, 45.07) ounces.

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The general solution of the differential equation is given as y = c₁e^(20t) + c₂e^(-20t).

The differential equation y'' - 400y = 0 can be transformed into an auxiliary equation by assuming that the solution is exponential.

The general solution to a differential equation of this form can be obtained by solving this auxiliary equation.

For a second-order differential equation, we usually obtain a quadratic equation.

Here's the working on how to find the general solution of the differential equation, y''-400y=0:

Step 1: Write the characteristic equation of the differential equation.

y′′-400y = 0 → r² - 400 = 0 → (r + 20) (r - 20) = 0

So, r₁ = -20 and r₂ = 20.

Step 2: The solution of the differential equation is given by

y = c₁e^(20t) + c₂e^(-20t), where c₁ and c₂ are arbitrary constants.

The general solution of the differential equation y''-400y=0 is given by y = c₁e^(20t) + c₂e^(-20t), where c₁ and c₂ are constants.

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The value of the logarithm logₐ 45 is 2x + y.

logₐ 3 = x and logₐ 5 = y . Then, logₐ 45 can be found as follows:

Using the law of logarithm the value of logₐ 45 can be found as follows:

Using logarithm law of multiplicity,

Therefore,

logₐ x y = logₐ x + logₐ y

Hence,

45 = 5 × 9

logₐ 45 = log (5 × 9)

logₐ 45 = logₐ 5 + logₐ 9

logₐ 45 = logₐ 5 + logₐ (3)²

logₐ 45 = logₐ 5 + 2 logₐ (3)

Therefore,

x =  logₐ (3)

y = logₐ 5

Hence,

logₐ 45 = 2x + y

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The "quarterly seasonality without trend" model is used to forecast quarterly sales, and the quarter 4 forecast for year 11 using this model is 1167 1089 1001 999.

The exhibit 4 quarterly sales for three years are given as follows: QuarterYear 1Year 2Year 31 9231,1121,2432 1,0561,1561,3013 1,1241,1241,2544 9921,0781,198

Solution: Given, quarterly seasonality without trend model,Quarter 1Quarter 2Quarter 3Quarter 4Sales Year 1923 1056 1124 992Sales Year 21075 1156 1124 1078Sales Year 31162 1301 1254 1198

Calculating the mean sales of each quarter across the years,Quarter 1Quarter 2Quarter 3Quarter 4Mean Sales1118.33 1174 1207.33 1089.33

For forecasting the sales in the year 11, we have to use the mean sales of each quarter and forecast the sales for each quarter.

So the quarter 4 forecast for year 11 using the quarterly seasonality without trend model is:Quarter 1Quarter 2Quarter 3Quarter 41167 1174 1001 999  

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When a line segment is drawn from a point on a circle's circumference, through the center to another point on the circle's circumference, the distance of the line segment is equal to the diameter of the circle.

The diameter is defined as any straight line passing through the center of a circle, connecting two points on the circumference. It is the longest chord of the circle and is also the length of a circle's widest point.

The diameter is an important parameter of a circle, as it determines the circle's size and area. It is related to the circle's radius, which is half the length of the diameter. The diameter is also used in various formulas for calculating the circumference, area, and other properties of circles.

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The two column proof is completed as follows

Statement                     Reason

line RS ≅ line UT             Given

line RT ≅ line UT             Given

line ST ≅ line TS             Reflexive property

Δ RST ≅ ΔUTS               SSS congruence theorem

The refleхive propеrty is a mathеmatical propеrty thаt statеs thаt аny element is еqual to itself. I

This is  to say, for аny mathеmatical object or value, х, the refleхive propеrty statеs thаt

This propеrty holds truе for all mathеmatical operаtions and is used to proof that all the sides of the triangle RST is congruent to sides of the triangle UTS. This is according to the SSS congruence theorem

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Nine ears of sweetcorn will cost $2.25 at this store.

To determine the cost of nine ears of sweetcorn, given that four ears cost one dollar, you can follow these steps:

1. Determine the cost of one ear of sweetcorn: Since four ears cost one dollar, we can calculate the cost per ear by dividing the total cost by the number of ears: $1 / 4 ears = $0.25 per ear.

2. Calculate the cost of nine ears: Multiply the cost of one ear by the number of ears desired: $0.25 per ear × 9 ears = $2.25.

So, nine ears of sweetcorn will cost $2.25 at this store.

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Answer:

Dont tell me you're trolling. Anyway, its 16

Answer:

you're correct

Step-by-step explanation:

The similarity between the volume of a cone and the volume of a pyramid is that:

In contrast, the differences between the volume of a cone and the volume of a pyramid include:

Mathematically, the volume of a cone can be calculated by using this formula:

V = 1/3 × πr²h

Where:

Mathematically, the volume of a pyramid can be calculated by using this formula:

Volume = 1/3 × b × h

Where:

In this context, we can infer and logically deduce that the similarity between the volume of a cone and the volume of a pyramid is that:

On the other hand (conversely), the differences between the volume of a cone and the volume of a pyramid include:

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The answer to 38 divided by 9 calculated using Long Division is 4 and remainder is 2

What is Algebraic expression ?

Algebraic expression can be defined as the combination of variables and constants.

Given expression ,

38 / 9 .

Step 1:

Start by setting it up with the divisor 9 on the left side and the dividend 38 on the right side like this:

Step 2:

The divisor (9) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:

Step 3:

Multiply the divisor by the result in the previous step (9 x 0 = 0) and write that answer below the dividend.

Step 4:

Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.

Step 5:

Move down the 2nd digit of the dividend (8) like this:

Step 6:

The divisor (9) goes into the bottom number (38), 4 time(s). Therefore, put 4 on top:

Step 7:

Multiply the divisor by the result in the previous step (9 x 4 = 36) and write that answer at the bottom:

Step 8:

Subtract the result in the previous step from the number written above it. (38 - 36 = 2) and write the answer at the bottom.

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, The answer to 38 divided by 9 calculated using Long Division is 4 and remainder is 2

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The balance at the end of 3rd month is $899.91.

In mathematics, the tax calculation is related to the selling price and income of taxpayers. It is a charge imposed by the government on the citizens for the collection of funds for public welfare and expenditure activities. There are two types of taxes: direct tax and indirect tax.

A person decide to buy a guitar for $1257. With tax the total comes to $1357.56 and the monthly interest rate is 1.7%.

Monthly payment is $150.

Monthly payment including interest

= 150+1.7% of 150

= 150+1.7/100 ×150

= 150+0.017×150

= 150+2.55

= $152.55

So, balance at the end of 3rd month

= 1357.56-3(152.55)

= 1357.56-457.65

= $899.91

Therefore, the balance at the end of 3rd month is $899.91.

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a) dz/dt = -e^xcos(t) - 2ycos(t)

b) dz/dt = 2sec^2(t)sec^2(t) - 4(2sec^2(t))(-tantsec^2(t))

a) To compute dz/dt using the chain rule, we differentiate each component of z with respect to t and multiply by the corresponding partial derivative of that component with respect to t. In this case, we have z = e^x - y^2, x = ln(t), and y = sin(t).

The partial derivative of z with respect to x is e^x, and the partial derivative of x with respect to t is 1. Therefore, the contribution from x to dz/dt is e^x * 1 = e^x.

The partial derivative of z with respect to y is -2y, and the partial derivative of y with respect to t is cos(t). Therefore, the contribution from y to dz/dt is -2y * cos(t).

Combining the contributions, we get dz/dt = e^x - 2y*cos(t).

b) Similarly, to compute dz/dt using the chain rule, we differentiate each component of z with respect to t and multiply by the corresponding partial derivative of that component with respect to t. In this case, we have z = x^2 - 4x^2y, x = 2tan(t), and y = sin(t).

The partial derivative of z with respect to x is 2x - 8xy, and the partial derivative of x with respect to t is sec^2(t). Therefore, the contribution from x to dz/dt is (2x - 8xy) * sec^2(t).

The partial derivative of z with respect to y is -4x^2, and the partial derivative of y with respect to t is cos(t). Therefore, the contribution from y to dz/dt is -4x^2 * cos(t).

Combining the contributions, we get dz/dt = (2x - 8xy) * sec^2(t) - 4x^2 * cos(t).

Note: In part (b), you mentioned x = 2tant, but the value of y is missing. Please provide the value of y so that the calculation can be completed accurately.

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Answer:

GH

Step-by-step explanation:

A secant is a straight line which cuts the circle at 2 points

GH and FE both do this but FE is a special secant, that is the diameter

Then GH is a secant

Answer:

k = 31

Step-by-step explanation:

Solve for k:

35 - k = 4

Subtract 35 from both sides:

(35 - 35) - k = 4 - 35

35 - 35 = 0:

-k = 4 - 35

4 - 35 = -31:

-k = -31

Multiply both sides of -k = -31 by -1:

(-k)/(-1) = 31

(-1)/(-1) = 1:

Answer: k = 31

Answer: To find the equation of a line passing through two points, we can use the point-slope form of the equation:

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of one of the points, and m is the slope of the line.

To find the slope, we can use the formula:

m = (y2 - y1)/(x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

So, let's plug in the values we have:

m = (-8 - 3)/(-8 - (-10)) = (-8 - 3)/2 = -11/2

Now we can use either point to find the equation. Let's use (-10, 3):

y - 3 = (-11/2)(x - (-10))

y - 3 = (-11/2)x - 55/2

y = (-11/2)x - 49/2

So the equation of the line through (-10, 3) and (-8, -8) is:

y = (-11/2)x - 49/2.

The polar equation for this curve is: theta = pi/3 (or any angle that satisfies tan(theta) = sqrt(3))

To find the polar equation for the curve represented by the given Cartesian equations, we can use the conversion formulas between Cartesian and polar coordinates.

\(x^2 + y^2 = 25:\)

In polar coordinates, the conversion formulas are:

x = r cos(theta)

y = r sin(theta)

Substituting these values into the equation \(x^2 + y^2 = 25:\)

\((r cos(theta))^2 + (r sin(theta))^2 = 25\)

\(r^2 (cos^2(theta) + sin^2(theta)) = 25\)

\(r^2 = 25\)

The polar equation for this curve is simply:

r = 5

\(x^2 + y^2 = -8y:\)

In polar coordinates:

x = r cos(theta)

y = r sin(theta)

Substituting these values into the equation \(x^2 + y^2 = -8y:\)

\((r cos(theta))^2 + (r sin(theta))^2 = -8(r sin(theta))\)

\(r^2 (cos^2(theta) + sin^2(theta)) = -8r sin(theta)\)

\(r^2 = -8r sin(theta)\)

The polar equation for this curve is:

r = -8 sin(theta)

y = sqrt(3) x:

In polar coordinates:

x = r cos(theta)

y = r sin(theta)

Substituting these values into the equation y = sqrt(3) x:

r sin(theta) = sqrt(3) (r cos(theta))

r sin(theta) = sqrt(3) r cos(theta)

tan(theta) = sqrt(3)

The polar equation for this curve is:

theta = pi/3 (or any angle that satisfies tan(theta) = sqrt(3))

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Answer:

y=2x+3

Step-by-step explanation:

_2y=-4x-12 and than divide dy -2 so it will be Y=2x+3.

The upper control limit (UCL) at a 99% confidence interval with a z value of 3 is 0.165.(option c)

In statistical process control, the UCL is a key parameter used to determine the upper boundary for acceptable variation in a process. To calculate the UCL for a defect rate, we use the formula UCL = p' + z * sqrt(p'(1-p')/n), where p' is the proportion of defects in the sample, z is the z value corresponding to the desired confidence level, and n is the sample size.

In this case, we have collected 20 samples of 100 items each, and the total number of defective items is 75. Therefore, the proportion of defects in the sample is 75/2000 = 0.0375. Using the formula mentioned earlier, with a z value of 3 and n value of 100, we can calculate the UCL as follows: UCL = 0.0375 + 3 * sqrt(0.0375 * (1-0.0375)/100) ≈ 0.165.

Therefore, the correct answer is C. 0.165.

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