You are conducting a hypothesis test for a sample mean. Drawing on a random sample of 625 people, you calculate a sample mean of 50. Your null hypothesis is that the population mean equals 25. Assuming that the population standard deviation is 25, what is the t test statistic? Round your answer to two decimal places.

Answer:

x = -51/4

Step-by-step explanation:

3(x+4) = 7(x+9)

3x + 12 = 7x + 63

-4x = 51

x = -51/4

Answer:

x = 5  7/12

Step-by-step explanation:

let x = ?

7/4 + 1/6 + x = 15/2

multiply the equation by 12 to eliminate fractions

12(\(\frac{7}{4}\)) + 12(\(\frac{1}{6}\)) +12x = 12(\(\frac{15}{2}\))

21 + 2 + 12x = 90

23 + 12x = 90

12x = 90 - 23

12x = 67

x = 67/12 = 5 7/12

Answer:

I think its (3,2). you find where they meet and that's your answer

Given,

7p-11p+3>3-4p

-4p+3>3-4p

-4p>-4p

which is absured.

So there is no solution of the inequality.

Answer:

Step-by-step explanation:

2x+1=x-4

2x-x= -4-1

1x=-5

The account will be worth $215,958.88 after 3 years.

The account will be worth $215,958.88 after 3 years. This can be calculated by using the formula: A = P(1 + r/n)^(nt) where A is the final amount, P is the initial principal (or balance) of $165,000, r is the annual interest rate of 8%, n is the number of times that interest is compounded per year (annually in this case, so n = 1), and t is the number of years the money is invested for (3 in this case).

Plugging these values into the formula: A = 165,000(1 + .08/1)^(1*3) = 215,958.88.

The subject you are asking about is called compound interest. Compound interest is a concept related to finance and economics. It is the interest on a loan or deposit calculated based on both the initial principal and the accumulated interest from previous periods. It is often used in personal finance, such as in savings and retirement accounts, as well as in business and investment contexts.

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The coefficients obtained by the student may be less efficient and have larger standard errors compared to the professor's regression.

If the student enters each observation twice, resulting in a sample size of 100 instead of the original 50, the assumption of independent observations is violated in Ordinary Least Squares (OLS) regression. The OLS assumption assumes that the observations are independent, meaning that the value of one observation does not depend on the value of another observation.

In this case, the student's dataset contains repeated observations, which introduces dependence between observations. This violation of the independence assumption can lead to biased and inconsistent parameter estimates in the regression analysis.

Regarding the slope coefficients, if the student runs a regression using the duplicated data, the estimated coefficients may be different from the professor's regression. The duplication of observations inflates the sample size, potentially affecting the precision and accuracy of the estimates.

However, the direction and overall relationship between the variables may still be captured by the student's regression, although the estimates may not be as reliable.

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The fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

Mrs. Vacarro sliced a banana into 5 pieces.

Number of slices she gave to her toddler = 4/5

Number of slices left after her toddler had finished eating = 2/5

Thus number of slices toddler ate,

⇒ \(\frac{4}{5} -\frac{2}{5}\)

⇒ \(\frac{4-2}{5}\)

⇒ \(\frac{2}{5}\)

Hence we can conclude that the fractional amount of banana Mrs. Vacarro's toddler ate is 2/5.

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Answer:

6

Step-by-step explanation:

6/3 = 2

Answer:

Yes

Step-by-step explanation:

By the calculations below, there are 20 groups of 1/5 in 4.

To find out how many groups of 1/5 are in 4, we can use the concept of division of fractions.

Recall that dividing by a fraction is the same as multiplying by its reciprocal. So, we can rewrite the problem as:

4 ÷ 1/5

To find the reciprocal of 1/5, we flip the fraction:

1/5 → 5/1

Now, we can rewrite the division problem as multiplication:

4 ÷ 1/5 = 4 × 5/1

Multiplying across gives:

4 × 5/1 = 20

Therefore, there are 20 groups of 1/5 in 4.

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Given:

Manuel is studying. The number of minutes he has studied varies directly with the number of calories he has burned.

Required:

To find how many minutes does Manuel study per calorie burned, next we have to find the slope.

Explanation:

From the graph, the number of calorie burned is given by

Therefore, 0.1 calorie burned.

T

From the graph, the number of calorie burned is given by

The derivative of \(r\) with respect to \(\theta\) can be found using the chain rule. Let's proceed with the differentiation:

\frac{dr}{d\theta} = \frac{d}{d\theta}\left(\cos\left(\frac{\theta}{3}\right)\right)

To differentiate \(\cos\left(\frac{\theta}{3}\right)\), we treat \(\frac{\theta}{3}\) as the inner function and differentiate it using the chain rule. The derivative of \(\cos(u)\) with respect to \(u\) is \(-\sin(u)\), and the derivative of \(\frac{\theta}{3}\) with respect to \(\theta\) is \(\frac{1}{3}\). Applying the chain rule, we have:

\frac{dr}{d\theta} = -\sin\left(\frac{\theta}{3}\right) \cdot \frac{1}{3}

Now, let's evaluate this derivative at \(\theta = \pi\):

\frac{dr}{d\theta} \bigg|_{\theta=\pi} = -\sin\left(\frac{\pi}{3}\right) \cdot \frac{1}{3}

The value of \(\sin\left(\frac{\pi}{3}\right)\) is \(\frac{\sqrt{3}}{2}\), so substituting this value, we have:

\frac{dr}{d\theta} \bigg|_{\theta=\pi} = -\frac{\sqrt{3}}{2} \cdot \frac{1}{3} = -\frac{\sqrt{3}}{6}

Therefore, the slope of the tangent line to the polar curve \(r = \cos(\theta / 3)\) at the point specified by \(\theta = \pi\) is \(-\frac{\sqrt{3}}{6}.

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The amount in the account after seven years is approximately $4,582.72.

Compounding refers to the process of earning interest not only on the principal amount of an investment but also on the interest that the investment has previously earned.

The continuous compounding formula is given by:

\(A = Pe^{(rt)}\)

where A is the amount in the account, P is the initial principal, e is the base of the natural logarithm (approximately 2.71828), r is the annual interest rate (as a decimal), and t is the time in years.

In this case, we have P = 2700, r = 0.065, and t = 7. Plugging these values into the formula, we get:

\(A = 2700e^{(0.0657)} \\A= $4,582.72\)

Therefore, the amount in the account after seven years is approximately $4,582.72.

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Answer:

N/A

Step-by-step explanation:

the question is not in depth could you add a photo

Answer:

A single number that estimates the value of an unknown parameter is called a point estimate.

Step-by-step explanation:

Don't see the point (haha) of elaborating

Answer:

-3

Step-by-step explanation:

Solve each piece then use order of operations to solve.

\(4^{\frac{1}{2} }\) = 2

\(\sqrt[4]{16}\) = 2   so \(\frac{2}{\sqrt[4]{16} }\) = \(\frac{2}{2}\) = 1

Use the order of operations to finish solving. Multiplication and division come before addition and subtraction.

2 * 1 - 10 ÷ 2

2 - 5 = -3

-3

Answer:

$5.96

Step-by-step explanation:

To find 12% of 49.65 you multiply 49.65*0.12 (decimal equivalent of 12%) = 5.958. Since it's money, you need to round to the nearest cent.

We can conclude that the value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

So,

Now, substitute 'x = (∠MNP + 66)/8' in 8x + 12:

Hence, m∠RNM = ∠RNQ - ∠MNP + 78

Therefore, in the given question value of x is (∠MNP + 66)/8 and angle m∠RNM = ∠RNQ - ∠MNP + 78.

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Answer:

270 per year so 6 years is 1620 and add that with 6000=7620

The option is correct (d) -3/4 is . Given, P(x, y) denote the point where the terminal side of an angle θ meets the unit circle. If P is in Quadrant IV and x = 4/5, find tan(θ).We have to determine the value of tan(θ) in the provided conditions. Quadrant IV, represents the angle between 270 degrees and 360 degrees.

The unit circle is represented below : The point P is in Quadrant IV and x = 4/5. This means that the value of y will be negative.  Using Pythagoras theorem, y can be determined as follows: Since the point P lies on the unit circle, x² + y² = 1. On substituting the given value of x and y from step 2 above in this equation, we get: We have the values of y and x, now we can calculate tan(θ) as follows : tan(θ) = y / x = -3/.

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Answer:

\(x = \frac{16}{3}\)

Step-by-step explanation:

\(3 \times x = 8 \times 2\\3x = 16\\x = \frac{16}{3}\)

These graphs have been plotted from -5s to +5s. The graphs of all the signals are zero before the values at zero and constant after the values at zero.

A unit step function or a unit impulse function is used in signal processing with a value of one at zero and zero elsewhere.

In a step function, the value changes abruptly at a specific time, whereas in an impulse function, it is always one. The step and impulse functions are the most basic signal functions used in signal processing.

Therefore, the given signals are Step functions, where they are multiplied by a constant factor. Let's plot the graph for the given signals below;

(a) x1 (t)=−6u(t+3)

(b) x2 (t)=10u(t−4)

(c) x3 (t)=4u(t+2)−4u(t−2)

Therefore, these graphs have been plotted from -5s to +5s. The graphs of all the signals are zero before the values at zero and constant after the values at zero.

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Answer:

y=5x+22

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=5(x-(-5))

y+3=5(x+5)

y=5x+25-3

y=5x+22

Answer:

The answer is 13.25 I'm so sorry if its incorrect please let me know so I can fix it

y=70+18(x)

y=70+18(12)

y=70+216

y=286

Step-by-step explanation:

since Tanya bakes 12 more cookies,

x=12

y= 70 + 18(12)

y=70 + 216

y= 286

therefore, she bakes 286 cookies with twelve more batches

a) 314.285728572857.......

b) i think 5.4 boxes

c) its an under estimate cuz actual value is more than 5

Step-by-step explanation:

a) To find the area of her garden, you need to know the area of a circle: πr²

diameter = 20m

radius = 10m

3.14 × 10² = 314m²

b) If 1 box covers 58m², then we need to work out how many 58m² can fit into her garden, but because its an estimate we round the numbers to 1 significant figure

314 ÷ 58 ≈ 300 ÷ 60 = 5

c) The answer is an underestimate because the actual value is 5.4137...

314 ÷ 58 = 5.4137..

The coordinates of the point that partitions the segment BA into a ratio of 3 to 2 is (-1, 0).

Directed line segments are line segments which has an initial point and the terminal point along with the direction.

Given a directed line segment BA.

The coordinates of A are (-5, -2) and the coordinates of B are (5, 3).

Let P be the required point which partitions the segment BA in to 3 : 2.

P would be at a 3/5 along the line from B to A.

Write the components of the segment using the end points.

Components = < (x₂ − x₁),(y₂ − y₁) >

                      = < (-5 - 5) , (-2 - 3) >

                      = < -10, -5 >

Components of BP = < 3/5 (-10, -5) >

                                = < -6, -3 >

Coordinates of P = Coordinates of initial point + component of BP.

                             = (5 + -6, 3 + -3)

                             = (-1, 0)

Hence the required coordinates is (-1, 0).

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