What survival rate in the 10th year would make the average rate of loss over the 10-year period equal to 38.0%?

Answer:

c

Step-by-step explanation:

The width of Mary's rectangular room is 5 feet.

A rectangle is a quadrilateral with four right angles in the Euclidean plane.

It can alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal.

A square is a rectangle

So, we consider Mary's room a rectangular room:

With an area of 40ft² and a length is 8ft.

Area of rectangle: l*w

Where l stands for length and w stands for width.

Now, calculate the width using the formula as follows:

Area = l*w

40 = 8*w

w = 40/8

w = 5ft

Therefore, the width of Mary's rectangular room is 5 feet.

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Answer:

There is just one simple rules for find other side

Step-by-step explanation:

Think about a triangle and this triangle has 3 side it must have 90° on one edge. We assume the longest side is hipotenus x²+y²=hipotenus² . Look at your question hipotenus is 15 lets try to find other side. X²+12²=15² x=9

Answer: B is the correct answer -23.801505

Step-by-step explanation: A, C, & D all have two negatives and when you multiply 2 negatives, you get a positive. B has 3 negatives which will give you a negative answer.

Layton paints on a canvas that has a lenght of 1/3 and an area of 3/4 then the width of the canvas will represent as 3/4 ÷ 1/3 thus, option (C) is correct.

The quantity of space enclosing a three-dimensional shape's exterior is its surface area.

In other meaning, if we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.

The canvas is rectangular with a length of 1/3 and an area of 3/4.

It is known that,

Area of rectangular = length x width

Width = Area/length

Width = 3/4 ÷ 1/3  

Hence "Layton paints on a canvas that has a lenght of 1/3 and an area of 3/4 then the width of the canvas will represent as 3/4 ÷ 1/3".

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The value of the test statistic is 0.

The alternative hypothesis states that there is a difference between the true percentage of the first group who suffer a second episode and the true percentage of the second group who suffer a second episode.

The null hypothesis states that there is no difference between the true percentage

of the first group who suffer a second episode and the true percentage of the second group who suffer a second episode. Let us compute the value of the test

statistic

First, let us determine the proportion of people in each group who suffer a second episode:First group: p1 = 11/55 = 0.2Second group: p2 = 9/45 = 0.2

The sample proportion

of both groups is 0.2. Let us now calculate the standard error of the difference of proportions:SE(p1 - p2) = sqrt{ [p1(1 - p1) / n1 ] + [ p2(1 - p2) / n2 ] }= sqrt{ [0.2(0.8) / 55] + [0.2(0.8) / 45] }= sqrt{ 0.0029 + 0.0044 }= sqrt{ 0.0073 }= 0.0853

Now we can calculate the test statistic:Z = [(p1 - p2) - 0] / SE(p1 - p2)Z = [(0.2 - 0.2) - 0] / 0.0853Z = 0 / 0.0853Z = 0

The value of the test statistic is 0. The alternative hypothesis states that there is a difference between the true percentage of the first group who suffer a second episode and the true percentage of the second group who suffer a second episode. However, the test statistic is 0.

Therefore, there is no evidence to support the alternative hypothesis. The value of the test statistic is 0.

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To calculate the test statistic, we can use the formula (p1 - p2) / sqrt((p1*(1-p1)/n1) + (p2*(1-p2)/n2)), where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.

Given that p1 = 0.11, p2 = 0.09, n1 = 55, and n2 = 45, we can substitute these values into the formula to find the test statistic:

Test statistic = (0.11 - 0.09) / sqrt((0.11*(1-0.11)/55) + (0.09*(1-0.09)/45))

To conduct a hypothesis test, we need to define our null and alternative hypotheses. In this case, our null hypothesis (H0) states that the true percentage of those in the first group who suffer a second episode is the same as the true percentage of those in the second group who suffer a second episode. Our alternative hypothesis (Ha) states that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode.

Next, we calculate the test statistic, which is the difference between the sample proportions of the two groups. The sample proportion for the first group is 11% (or 0.11), and for the second group is 9% (or 0.09). The test statistic can be calculated as (p1 - p2) / sqrt((p1*(1-p1)/n1) + (p2*(1-p2)/n2)), where p1 and p2 are the sample proportions, and n1 and n2 are the sample sizes.

Substituting the values, the test statistic is (0.11 - 0.09) / sqrt((0.11*(1-0.11)/55) + (0.09*(1-0.09)/45)).

Finally, we compare the test statistic to the critical value at the significance level of 0.1. If the test statistic falls outside the critical value range, we reject the null hypothesis and conclude that there is reason to believe that the true percentages are different. Otherwise, we fail to reject the null hypothesis.

In this case, the alternative hypothesis is that the true percentage of those in the first group who suffer a second episode is different from the true percentage of those in the second group who suffer a second episode. The value of the test statistic can be calculated using the formula provided above.

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Answer:

Step-by-step explanation:

Answer:

70 mph

Step-by-step explanation:

Here we want to calculate average speed

Mathematically, average speed = Total distance/Total time

Kindly recall distance = speed * time

for the first part;

We have: 60 * 2 = 120 miles

For the second: 4 * 75 = 300 miles

Average speed = (300 + 120)/(4 + 2) = 420/6 = 70 mph

The sum of first five or twelve term in the A.P given the value 60.

The term AP refers a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value.

Here we have given that  A. P. 16,14,12,.

And we need to find the number of term to get the value of 60.

While we looking into the given question we have identified that the  common difference d of the A.P. is − 2

Here we also know that the terms of the A.P. are in descending order.

Now, we have to take n = 5  then then first 5 terms are 16,14,12,10,8.

Here we have identified that the sum is 60.

Similarly, here by taking n = 12 , then the last 7 terms ( 12 − 5 ) (12-5) are 6 , 4 , 2 , 0 , − 2 , − 4 , − 5 6,4,2,0,-2,-4,-5

Here we have identified that the sum of these seven terms is 0.

Therefore, sum of first 12 terms is also 60.

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The absolute maximum of the function f(x) = sin(4x) on the interval [-π/4, π/4] is 1, and it occurs at x = 0. There is no absolute minimum of f on the given interval.

To find the absolute extreme values of f(x) = sin(4x) on the interval [-π/4, π/4], we need to evaluate the function at the critical points and endpoints of the interval. The critical points occur when the derivative of f(x) is equal to zero or undefined.

Taking the derivative of f(x) with respect to x, we have f'(x) = 4cos(4x). Setting f'(x) equal to zero, we find cos(4x) = 0. Solving for x, we get 4x = π/2 or 4x = 3π/2. Thus, x = π/8 or x = 3π/8 are the critical points within the interval.

Next, we evaluate f(x) at the critical points and endpoints.

For x = -π/4, we have f(-π/4) = sin(4(-π/4)) = sin(-π) = 0.

For x = π/4, we have f(π/4) = sin(4(π/4)) = sin(π) = 0.

For x = π/8, we have f(π/8) = sin(4(π/8)) = sin(π/2) = 1.

For x = 3π/8, we have f(3π/8) = sin(4(3π/8)) = sin(3π/2) = -1.

Thus, the absolute maximum of f(x) on the given interval is 1, and it occurs at x = π/8. There is no absolute minimum of f on the interval [-π/4, π/4].

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Answer:

\(x^2+5x+4+\dfrac{3x-8}{x^2+5x-4}\)

Step-by-step explanation:

The dividend is the polynomial which has to be divided.

The divisor is the expression by which the dividend is divided.

Given:

Following the steps of long division, divide the given dividend by the divisor:

\(\large \begin{array}{r}x^2+5x+4\phantom{)}\\x^2+5x-4{\overline{\smash{\big)}\,x^4+10x^3+25x^2+3x-24\phantom{)}}}\\{-~\phantom{(}\underline{(x^4+\phantom{(}5x^3-\phantom{(}4x^2)\phantom{-b)))))))))}}\\5x^3+29x^2+3x-24\phantom{)}\\-~\phantom{()}\underline{(5x^3+25x^2-20x)\phantom{)))..}}\\4x^2+23x-24\phantom{)}\\-~\phantom{()}\underline{(4x^2+20x-16)\phantom{}}\\3x-8\phantom{)}\end{array}\)

The quotient q(x) is the result of the division.

The remainder r(x) is the part left over:

The solution is the quotient plus the remainder divided by the divisor:

\(\implies q(x)+\dfrac{r(x)}{b(x)}=\boxed{x^2+5x+4+\dfrac{3x-8}{x^2+5x-4}}\)

A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

What is a confidence interval?

A confidence interval (CI) is a range of values that, with a particular level of certainty, is likely to encompass a population value. A population mean that sits between an upper and lower interval is frequently stated as a percentage.

Here,

From the standard normal table, the z-critical value at 98% confidence interval is 2.33 so,

98%C.I. = µ ± z * σ /   n = 98.90 ± 2.33 * 42.30 / sqrt of 16  = 98.90 ± 24.64 = 74.26 to 125.54

The mean wake time of 102.80 minutes before the treatment due to the mean wake time of 102.80 minutes included in the 98% confidence interval which is between 74.26 and 125.54. Zopiclone does not appear effective.

Hence, A 98% confidence interval estimate of the mean wake time for a population with zopiclone treatments is 74.26 to 125.54.

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angle 3 = angle 6 = 60°

hope it helps...!!!

Answer:

m∠3 = 60°

m∠6 = 60°

Step-by-step explanation:

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent.  This is called the "Alternate Interior Angles Theorem".

As line p intersects the set of parallel lines m and n at two distinct points, then m∠3 = m∠6  and  m∠4 = m∠5

Given:

As m∠3 = m∠6, then:

⇒ 7x - 10 = 5x + 10

Add 10 to both sides:

⇒ 7x - 10 + 10 = 5x + 10 + 10

⇒ 7x = 5x + 20

Subtract 5x from both sides:

⇒ 7x - 5x = 5x + 20 - 5x

⇒ 2x = 20

Divide both sides by 2:

⇒ 2x ÷ 2 = 20 ÷ 2

⇒ x = 10

Now substitute the found value of x into one of the angle expressions:

m∠3 = 7(10) - 10

       = 70 - 10

       = 60°

As m∠3 = m∠6,  then m∠6 = 60°

After six​ months, the​ subjects' symptoms are studied and compared. Answer parts​ are given below.

An assumption or concept is given as a hypothesis for the purpose of debating it and testing if it might be true.

Given:

A pharmaceutical company wants to test the effectiveness of a new allergy drug.

The company identifies 250 females​ 30–35 years old who suffer from severe allergies.

The subjects are randomly assigned into two groups.

One group is given the new allergy drug and the other is given a placebo that looks exactly like the new allergy drug.

After six​ months, the​ subjects' symptoms are studied and compared.

Here, 30-35 year-old girls are used to test the new allergy medication's effects.

(a)

Females between the ages of 30 and 35 who are the test subjects are the experimental units.

The new allergy medication, whose results are being studied, is the remedy.

It's best to choose C.

(b)

A bias may develop if a researcher or patient knows whether subjects received a medication or a placebo.

In this case, choice B is preferable.

(c)

If neither the researcher nor the subject knew whether they were receiving a medicine or a placebo, the study would be considered double-blind.

In this case, choice A is preferable.

Therefore, all the correct choices are given above.

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The complete question is given in the image.

The standardized test statistic t indicates that you should reject the null hypothesis are as follows:

(a) For t=2.126, we should Reject H0, because t>2.047. This is option A

(b) For t=0, it Fail to reject H0, because t<2.047. This is option D

(c) For t=1.966, it Fail to reject H0, because t<2.047. This is option C

(d) For t=−2.055, we should Reject H0, because t<2.047. This is option D

The value of the standardized test statistic t indicates whether you should reject or fail to reject the null hypothesis. The critical value of t is determined by the significance level of the test and the degrees of freedom.

If the absolute value of the calculated t statistic is greater than the critical value, the null hypothesis should be rejected, indicating that the result is statistically significant.

If the absolute value of the calculated t statistic is less than or equal to the critical value, the null hypothesis should be failed to be rejected, indicating that the result is not statistically significant.

Hence, the answer of the questions are A, D, C and D respectively.

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Answer:

6h - 39 or 3(2h - 13)

Step-by-step explanation:

Distribute the terms in the parentheses.

Combine like terms

8 (h - 4) - h - (h + 7)

8h - 32 - h - h - 7

6h - 39

3 (2h - 13)

She can save $432 each year.

Now, According to the question:

Li-Mei thinks she can save money on electricity by changing all her bulbs from incandescent bulbs to fluorescent bulbs.

Incandescent bulb - 150 hours monthly use $.05 per hour Fluorescent bulb - 150 hours monthly use $.02 per hour.

We have to following statement.

Incandescent: 0.05 × 150 × 12 × 8=720

Fluorescent: .02 × 150 × 12 × 8=288

720-288=$432 less per year

Hence, She can save $432 each year.

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The complete question is this:

Li-Mei thinks she can save money on electricity by changing all her bulbs from incandescent bulbs to fluorescent bulbs. Based on the following energy cost table, how much can she save each year if she replaces 8 bulbs? Incandescent bulb - 150 hours monthly use $.05 per hour Fluorescent bulb - 150 hours monthly use $.02 per hour

The required dimensions length and width of the rectangle with the given condition is equal to 6 units and 3 units respectively.

Let us consider the length of the rectangle be x in any unit.

Then the width of the rectangle is x - 3 in the same unit.

The perimeter of a rectangle = 2(length + width)

According to the problem statement, the rectangle is equal to its perimeter we have,

x(x-3) = 2(x + x-3)

Simplifying the above equation, we get,

⇒ x^2 - 3x = 4x - 6

⇒ x^2 - 7x + 6 = 0

⇒ (x-6)(x-1) = 0

So, x = 6 or x = 1.

However, the length of the rectangle cannot be 1

This implies width would be -2 not possible.

The length of the rectangle is 6 inches

And the width is 6-3=3 inches.

Therefore, the dimensions of the rectangle are length 6 inches  and width 3 inches .

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Answer: 10

Step-by-step explanation:

Subtract the biggest number by the smallest to find range (16 - 6 = 10)

Answer:

B. 10

Step-by-step explanation:

The range is the lowest number which is 6, subtracted from the highest number, 16.

16 - 6 = 10

have a good day!! :)

The square transforms the expression \(\rm x^{2} +4x + 2^{2}\) into the form  \((x+2)^2-2\).

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

write in the form of \((x+y)^{2}\)

\(\rm x^{2} +2xy + y^{2}\)

2y = 4

y = 2

so, \(\rm x^{2} +4x + 2^{2}\)

we will now convert it into the form

\(\rm x^{2} +2xy + y^{2}\) = \(\rm (x+y)^{2}\)

substitute the values

\(\rm x^{2} +4x + 2^{2} = (x+2)^{2}\)

\((x+2)^2-2+2^2\)

\((x+2)^2-2\)

Thus, \((x+2)^2-2\) is the correct form.

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Answer: 45

Step-by-step explanation:

Answer:

So lets do this the ole fashion way the simple ole 1-step equation

Step-by-step explanation

x=7...........i think.....girl im only a freshman annd apparently ik geometery........so wouldnt it be 7+5=12...........cuh x+5=12........

x=7

I think

Answer:

14x - 26

Step-by-step explanation:

We have

5x+7 + 3x - 8 + 6x - 25

When adding these terms make sure to separate the variables from the numbers. We can do this by rearranging terms.

So, (5x + 3x + 6x) + (7-8-25)

Adding these gets us 14x - 26

answer:     12          

explanation:

The percentage of his income he saved is 44.4%.

Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.

In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".

If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:

percentage = (40,000/90,000) x 100% = 44.4%

Hence, she saves 44.4% of his income per month.

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The RACI matrix is the Responsible, Accountable, Consult & Inform matrix. It is a tool used in project management to clearly define the roles and responsibilities of team members in relation to a project.

c. Responsible, Accountable, Consult & Inform matrix

The RACI matrix is a tool used in project management to clearly define roles and responsibilities. It stands for Responsible, Accountable, Consulted, and Informed. Assigning these roles to individuals or teams, it ensures efficient allocation of resources and effective communication throughout the project.

The matrix identifies who is Responsible for a task, who is Accountable for its completion, who needs to be Consulted before decisions are made, and who needs to be Informed about progress. This helps to avoid confusion and ensure that resources are allocated appropriately, which can ultimately impact the cost of the project.

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Answer:

Step-by-step explanation:

You need to find the volume if one shoe box by doing:

Length x Width x Height

Of the shoe box

Then multiply by 30 to get the volume for all the shoe boxes

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While measuring mass of precious substances, such as gold, silver, etc., we need to be accurate in our measurement. in competitions and events, a difference of second can make you lose or win the game. Thus, accurate time measurement in such cases is very important.

Precision measures the reproducibility of measurements, even when they are far from the acceptable value, whereas accuracy measures how near a measurement is to a known or accepted value. Repeatable measurements that are reliable and precise are extremely near to the real values.

How closely a measured value resembles the real (or "true") value is referred to as accuracy. For instance, an accurate reading for the weight would be as near to 100g as feasible if you weighed a typical 100g weight on a scale.

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The values of the t statistic that are statistically significant at the α=0.005 level are t < -2.977 or t > 2.977.

To determine the values of the t statistic that are statistically significant at the α=0.005 level, we need to find the critical values of the t-distribution with 14 degrees of freedom (df = n - 1 = 15 - 1 = 14).

Using a t-table or a calculator, we can find that the critical values for a two-tailed test with α=0.005 are -2.977 and 2.977. This means that any t statistic less than -2.977 or greater than 2.977 would be considered statistically significant at the α=0.005 level.

In other words, if the calculated t statistic falls within the range of -2.977 to 2.977, we would fail to reject the null hypothesis (H0: μ=10) and conclude that there is not enough evidence to suggest that the population mean is different from 10. However, if the calculated t statistic falls outside of this range, we would reject the null hypothesis and conclude that there is evidence to suggest that the population mean is different from 10.

So, the values of the t statistic that are statistically significant at the α=0.005 level are t < -2.977 or t > 2.977.

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