Does anyone mind helping?

No, it doesn't show that single individuals under the age of 25 have more insurance claims than the nationwide percent reported by the big insurance firm.

Hypothesis

Null hypothesis : H0: p = 0.68

Alternative hypothesis : Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

The test statistic is

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

The p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

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Answer:

11t-5u

Step-by-step explanation:

combine like terms

3t-4u+8t-u

(3t+8t)+(-4u-u)

(11t)+(-5u)

11t-5u

Hopes this helps please mark brainliest

Answer:

11t - 5u

Step-by-step explanation:

Given expression,

→ 3t - 4u + 8t - u

Let's solve the given expression,

→ 3t - 4u + 8t - u

→ (3t + 8t) + (-4u - u)

→ 11t - 5u

Hence, the answer is 11t - 5u.

The MLE of σ² is a biased estimator of σ²

The maximum likelihood estimator (MLE) of σ² is a biased estimator, we need to demonstrate that its expected value is different from the true population variance, σ².

Let's start with the definition of the MLE of σ². In the context of simple linear regression, the MLE of σ² is given by:

MLE(σ²) = SSE/n

where SSE represents the sum of squared errors and n is the number of observations.

The expected value of the MLE, we need to take the average of all possible values of MLE(σ²) over different samples.

E(MLE(σ²)) = E(SSE/n)

Since the expectation operator is linear, we can rewrite this as:

E(MLE(σ²)) = 1/n × E(SSE)

Now, let's consider the expected value of the sum of squared errors, E(SSE). In simple linear regression, it can be shown that:

E(SSE) = (n - k)σ²

where k is the number of predictors (including the intercept) in the regression model.

Substituting this result back into the expression for E(MLE(σ^2)), we get:

E(MLE(σ²)) = 1/n × E(SSE)

= 1/n × (n - k)σ²

= (n - k)/n × σ²

Since (n - k) is less than n, we can see that E(MLE(σ²)) is biased and different from the true population variance, σ².

Therefore, we have shown that the MLE of σ² is a biased estimator of σ².

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The question is incomplete the complete question is :

Show that σ² = SSE/n, the maximum likelihood estimator of σ² is a biased estimator of σ²?

A person bought two old scooters for Rs. 9000. By selling one at a profit of 25% and the other at a loss of 20%, to neither gain nor lose. The cost of each scooter is Rs. 4000 and Rs. 5,000.

Let the cost price of the first scooter be Rs. x and the cost price of the second scooter = Rs. (9000 - x)

Given, the first scooter was sold at a profit of 25%.

Selling price of first scooter = x + 0.25x = 1.25x

Given, the second scooter was sold at a loss of 20%.

Selling price of second scooter = 0.8(9000 - x)

Now, according to the question, there is no profit and no loss.

Therefore, Total Selling Price = Cost Price=> (1.25x) + 0.8(9000 - x) = 9000=> 1.25x + 7200 - 0.8x = 9000=> 0.45x = 1800=> x = Rs. 4000

So, the cost price of the first scooter is Rs. 4000.

The cost price of the second scooter is Rs. (9000 - 4000) = Rs. 5000

Therefore, the cost of each scooter is Rs. 4000 and Rs. 5,000.

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Answer:

Step-by-step explanation:

A function s is the HORIZONTAL SHRINK of a function h by a factor k

if s(x) = h(kx)

It is called a shrink, because for k > 1 that has the effect of compressing

the function h towards the y-axis.

I find the problem statement a little confusing because

using k = 1/6 would result in stretching, not shrinking.

Therefore my guess is that the author means k = 6.

A function r is a REFLECTION of a function h in the x-axis

if r(x) = -h(x).

The reason is that r looks like a mirror image of h,

where the mirror is the x-axis.

A function t is a TRANSLATION 2 units down of a function h

if t(x) = h(x) - 2.

The graph of t looks like h, except shifted down 2 units.

Applying the definitions to your function f:

g(x) = -f(6x) - 2 = -36x^2 - 2

Answer: 144π

Step-by-step explanation:

The equation for the area of a circle is πr², with r being the radius given in the problem. The radius, as a reminder, is the distance between the middle of the circle and any point along its outer curve. Here, we know the radius is 12 because the line to the middle of the circle indicates we are finding the radius since it goes halfway and not all the way to the other side of the circle. We can plug into the equation and solve it.

A = πr²

A = π(12)²

A = 144π

I hope this helps!

Answer:

The tempature dropped by 13*C

Step-by-step explanation:

29*C-- X= 16*C

X= 13*C

To find the equation of the tangent line to the curve y = tan²(2x) at x = π/4, we need to determine the slope of the tangent line at that point and then use the point-slope form of a line to write the equation.

First, let's find the derivative of y with respect to x. Using the chain rule, we have:

dy/dx = 2tan(2x) sec²(2x).

Now, let's substitute x = π/4 into the derivative:

dy/dx = 2tan(2(π/4)) * sec²(2(π/4))

      = 2tan(π/2) * sec²(π/2)

      = 2(∞) * 1

      = ∞.

The derivative at x = π/4 is undefined, indicating that the tangent line at that point is vertical. Therefore, the equation of the tangent line is x = π/4. Note that the equation y = 2/tan(2x) (sec²(2x) + 1/2) is not the equation of the tangent line, but rather the equation of the curve itself. The tangent line, in this case, is vertical.

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Answer:b

Step-by-step explanation:

im smart

Answer:

B = 6/8

Step-by-step explanation:

3 x 2 = 6

____ __

4 x 2 8

(Equivalent fraction)

The equations represents each graph shown on the coordinate system are:

a) y = 3x + 2

b) y = 2

c) y = 2x - 2

What is the system of linear equations?

A system of linear equations is a group of one or more linear equations that can be solved by using a simultaneous equation or elimination method. Therefore, by using the substitution method and writing the solution of the system in terms of coordinate point (x, y) = (-1, 1).

We have,

The points where a line passes through them in each given graph:

a) (-1, -1) and (0, 2)

b) (-1, 0) and (2, 0)

c) (0, -2) and (1, 0)

To write the equation of a line in slope-intercept form (y = mx + b), we need to find the slope of the line (m) and the y-intercept (b).

To find the slope of the line, we can use the slope formula:

m = (y₂ - y₁) ÷ (x₂ - x₁)

a)

(-1, -1) and (0, 2)

m = (y₂ - y₁) ÷ (x₂ - x₁)

m = (2 - (-1)) ÷ (0 - (-1))

m = 3 ÷ 1

m = 3

The y-intercept is the point where the line intersects the y-axis. This point is (0, b), where b is the y-intercept.

Since the given line passes through points (0, 2),

y = 3x + b

2 = 3(0) + b

b = 2.

The equation:

y = 3x + 2

b)

(-1, 0) and (2, 0)

m = (y₂ - y₁) ÷ (x₂ - x₁)

m = (0 - 0)  ÷  (2 - (-1))

m = 0

the y-intercept of the line passes through points (0, 2),

y = (0)x + b

2 =  b

b = 2.

The equation:

y = 2

c)

(0, -2) and (1, 0)

m = (0 - (-2)) ÷ (1 - (0))

m = 2 ÷ 1

m = 2

the y-intercept of the line passes through points (0, -2),

y = 2x + b

2 =  2(-2) + b

b = -2.

The equation:

y = 2x - 2

Hence, the equations represents each graph shown on the coordinate system are:

a) y = 3x + 2

b) y = 2

c) y = 2x - 2

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Answer:

Step-by-step explanation:

Dimensions given:

A small cube has side of 1/4 ft

Find the number of small cubes can fit in each dimension of the prism.

Length

Width

Height

Part A

Number of small cubes would be:

Part B

Each small cube has volume:

The volume of the prism in terms of small cubes is 180 as we found above.

The volume in terms of unit cube:

The perimeter of the classroom in yards and feet is:

P =  112 feet

P = 37.33 yards

or P = 37 yards and 1 feet.

For a rectangle of length L and width W the perimeter is given by:

P = 2*(L + W)

Here we know that:

L = 32ft

W = 24ft

Then the perimeter in feet is:

P = 2*(32ft + 24ft) = 112ft

Now to get the perimeter in yards we need to use the relation.

1 yard = 3 feet

Then we need to divide by 3:

P = (112/3) yards = 37.33 yards

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On solving the provided question, we can say that - given integral \(\int\limits^{} \, \int\limits^{} \, \int\limits^{} \, y^2dV\) where E is solid hemisphere, \(\int\limits^{} \, \int\limits^{} \, \int\limits^{} \, y^2dV\) = 162\(\pi\)/5

In mathematics, integrals translate integers into functions that express notions like displacement, area, and volume that result from the aggregation of little facts. Integral discovery is a process that is referred to as integration. Integrals are mathematical constructs that, in calculus, have the same meaning as areas or generalized versions of areas. The main goal of calculus is to work with derivatives and integrals. Primitives and inverse derivatives are other terms for integral.

Given integral \(\int\limits^{} \, \int\limits^{} \, \int\limits^{} \, y^2dV\) where E is solid hemisphere \(x^2 + y^2 z^2 \leq 9\) and \(z \geq 0\).

In spherical coordinates we have x = pcos∅sinФ, y = pcosФsin∅ and z = pcosФ

\(p^2 = x^2 + y^2 z^2\)

\(\int\limits^{} \, \int\limits^{} \, \int\limits^{} \, y^2dV\) = 162\(\pi\)/5

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Sizing handles are the small squares that appear in the corners and in the middle of the sides of the border of a selected object.

When you select an object in various graphic design or image editing software applications, such as Microsoft Word, Adobe Photoshop, or Sketch, a border or bounding box is usually displayed around the object to indicate that it is selected.

This border helps you manipulate or modify the object in different ways, such as resizing, rotating, or moving it.

The handles are small squares or circles that appear along the border of the selected object.

They are positioned at the corners and in the middle of the sides.

These handles act as control points that allow you to interact with the object and make adjustments to its size or proportions.

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75% is percentage of undergraduate students are between 36 and 52 years old.

What is percentage and example?

This would be true if k=3, but k=2

because (36-44)/4 = -2 and (52-44)/4 = 2

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Answer:

$1.44

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Given: 190x + 700 = 1,460

1. Subtract 700 from both sides:

190x + 700 - 700 = 1,460 - 700

190x = 760

2. Divide both sides by 190 to isolate x:

190x ÷ 190 = 760 ÷ 190

x = 4

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The derivative dy/dx is equal to -2 / (5x) in terms of x and y.

We are asked to find the derivative dy/dx of the implicitly defined function x² × \(y^5\) × \(e^y\) = 0. To find this, we'll use implicit differentiation.
Implicit differentiation means we differentiate both sides of the equation with respect to x, treating y as a function of x, and then solve for dy/dx. So, let's differentiate both sides:
d/dx (x² × \(y^5\) × \(e^y\)) = d/dx (0)
First, we'll differentiate the left side using the product rule and chain rule:
(2x × y^5 × e^y) + (x² × 5y^4 × e^y × dy/dx) = 0
Now, we'll isolate dy/dx by subtracting the first term from both sides and then dividing by the second term:
dy/dx = - (2x × \(y^5\) × \(e^y\)) / (x² × \(5y^4\) ×\(e^y\))
We can simplify this expression by canceling out some common factors:
dy/dx = - (2x) / (5x²)
Further simplification gives:
dy/dx = -2 / (5x)
Thus, the derivative dy/dx is equal to -2 / (5x) in terms of x and y.

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The answer is: a. Yes, the forecast fails the bias test.

To determine whether the forecast fails the bias test, we need to compare the Average Error (AE) with zero.

If the AE is significantly different from zero, it indicates the presence of bias in the forecast. If the AE is close to zero, it suggests that the forecast is unbiased.

In this case, the Average Error (AE) is -2.0, which means that, on average, the forecast is 2.0 units lower than the actual values. Since the AE is not zero, we can conclude that there is a bias in the forecast.

Therefore, the answer is:

a. Yes, the forecast fails the bias test.

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The solution to the riddle, Geometry teachers use to decorate their floors is Area rugs.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters, square feet, square inches, and other similar units are used to measure area.

The problem is actually, a riddle(Joke) and the solution to the problem is Area rugs.

Thus, the solution to the riddle, Geometry teachers use to decorate their floors is Area rugs.

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Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

\(150.8 < 487\)

Step-by-step explanation:

Given

\(C = 487cm\) -- Actual measurement

\(M = 150.8\) -- Recorded measurement

Required

Is M < C or M > C?

By comparing both values, we can see that:

\(M < C\)

Because, on a number line from right to left; 150.8 comes before 487.

Hence:

\(150.8 < 487\)

i think the answer might be 2948m^3

Given:

Total score = 24 points

They made 2 more touchdowns than field goals, and 3 times as many "extra points" as field goals.

To find:

The system of equations for the given problem.

Solution:

Let x be the number of touchdowns.

y be the number of field goals.

z be the number of "extra points."

Total score is 24 points. So,

\(x+y+z=24\)

They made 2 more touchdowns than field goals.

\(x=y+2\)

They made 3 times as many "extra points" as field goals.

\(z=3y\)

Therefore, the required system of equation is

\(x+y+z=24\)

\(x=y+2\)

\(z=3y\)

Using the method of undetermined coefficients, we found one solution to the given differential equation:
\(y_p(t) = (1/6) * e^(5t)\)

To find a particular solution of the given differential equation\(y'' - 9y' + 26y = e^(5t)\)using the method of undetermined coefficients, follow these steps:
Step 1: Identify the form of the non-homogeneous term
The non-homogeneous term is \(e^(5t).\).

Since it is an exponential function, our guess for a particular solution will be in the form A * e^(5t),

where A is an undetermined coefficient.
Step 2: Compute derivatives
Now, compute the first and second derivatives of our guess:
\(y_p = A * e^(5t)\)
\(y_p' = 5A * e^(5t)\)
\(y_p'' = 25A * e^(5t)\)
Step 3: Plug the derivatives into the given equation
Substitute the guess and its derivatives into the differential equation:
\((25A * e^(5t)) - 9(5A * e^(5t)) + 26(A * e^(5t)) = e^(5t)\)
Step 4: Solve for the undetermined coefficient
Now, we need to solve for the undetermined coefficient A:
\((25A - 45A + 26A) * e^(5t) = e^(5t)\)
\((6A) * e^(5t) = e^(5t)\)
Divide both sides by e^(5t):
6A = 1
Now, solve for A:
A = 1/6
Step 5: Write the particular solution
Our particular solution with the found coefficient is:
\(y_p(t) = (1/6) * e^(5t)\)

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Answer:

Number of points need = 6 points

Step-by-step explanation:

Given:

New average = 5

Points peter has = 44

Total quiz play = 9

Find:

Points required for average of 5

Computation:

Total number of match = 9 + 1

Total number of match = 10

Average points = 5

Assume;

Number of points need = x

So,

Average points = [Total points] / Total number of match

5 = [44+x] / 10

50 = 44 + x

x = 6

Number of points need = 6 points

The score does Peter needs on his tenth and final quiz in order to have a final quiz average of 5 is 6 and this can be determined by using the formula of average.

Given :

Peter scored a total of 44 points on 9 math quizzes.

The following steps can be used in order to determine the score of the tenth quiz:

Step 1 - The formula of average can be used in order to determine the score of the tenth quiz.

Step 2 - According to the given data, Peter scored a total of 44 points on 9 math quizzes. Now, let the score of the final tenth quiz be 'x'.

Step 3 - The average of the 10 quizzes is given by:

\(\dfrac{44 + x }{10}=5\)

Step 4 - Simplify the above expression in order to determine the value of 'x'.

50 = 44 + x

x = 6

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