Help with math, step by step explanation pls! Thank u

The number of subjects needed to estimate the mean number of books read per year with a certain level of confidence is calculated in different scenarios. In the first scenario, to estimate within six books with 90% confidence, the required number of subjects is determined.

In the second scenario, the number of subjects needed to estimate within three books with 90% confidence is calculated. The effect of doubling the required accuracy on the sample size is examined. Lastly, the number of subjects required to estimate within six books with 99% confidence is determined and compared to the first scenario.

(a) To estimate the mean number of books read per year within six books with 90% confidence, the required number of subjects is determined. The specific confidence level of 90% requires rounding up the number of subjects to the nearest whole number.

(b) Similarly, the number of subjects needed to estimate within three books with 90% confidence is calculated, rounding up to the nearest whole number.

(e) Doubling the required accuracy does not quadruple or quarter the sample size. Instead, it doubles the sample size.

(d) To estimate within six books with 99% confidence, the required number of subjects is calculated. This higher confidence level requires a larger sample size compared to the first scenario in part (a). Increasing the level of confidence in the estimate generally leads to a larger sample size because a higher confidence level requires more data to provide a more precise estimation. This is reasonable because higher confidence levels correspond to narrower confidence intervals, which necessitate a larger sample size to achieve.

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Based on proportions, the numbers of students in the senior form and junior form are 615 and 885, respectively.

Proportion refers to the equation of two ratios.

Proportion is a fractional value depicted using ratios, percentages, fractions, and decimals.

The percentage of senior form students in the school = 41%

The percentage of junior form students = 59% (100% - 41%)

The additional percentage of junior over senior students = 18% (59% - 41%)

The additional number of junior form students over the seniors = 270

Proportionately, if 18% = 270, the total number of students (both junior and senior) = 1,500.

Therefore, the number of senior and junior students is as follows:

Check:

The difference in the numbers = 270 (885 - 615)

Thus, using proportions, we can state that there are 1,500 students in the school, consisting of 615 seniors and 885 juniors.

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Answer:

the first one

Step-by-step explanation:

The second equation doesn't make sense because that's not a true statement. The third equation uses the associative property so the answer must be the first one.

1.5 :)

Step-by-step explanation:

you would divide the 2 numbers, then youre left with the sf

The approximate size of the cover that Maria will need to buy is 45. 84 square feet

The formula for calculating the circumference of a circle is expressed as;

Circumference = πr²

Where 'r' is the radius of the circle

Now, let's substitute the value of the circumference

24 = 2 × 3. 14 × r

r = 24/6. 28

r = 3. 82 feet

Formula for area = πr²

Substitute value of r

Area = 3. 14 × (3. 82)²

Area = 3. 14 × 14. 59

Area = 45. 84 square feet

Hence, the value is  45. 84 square feet

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The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)

To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.

From the given information, we can observe that Lindsey's scores are increasing at the same rate.

This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.

Let's denote the first term as a₁ = 67 and the common ratio as r.

Recursive Formula:

In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:

aₙ = aₙ₋₁ \(\times\) r

For Lindsey's scores, the recursive formula would be:

aₙ = aₙ₋₁ \(\times\) r

Explicit Formula:

The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.

The explicit formula for a geometric sequence is:

aₙ = a₁ \(\times r^{(n-1)\)

For Lindsey's scores, the explicit formula would be:

aₙ \(= 67 \times r^{(n-1)\)

In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.

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Answer:

13

Step-by-step explanation:

The formula for cirmference is

C= π2 * r

we're using 3.14 as pi and r = radius.

the radius is always half of the diameter.

So in this case since the diamter is 4, the radius is 2. let's substitute these numbers.

C= 3.14 *2*2 and there your answer is 12.56 which rounded to the nearest tenth is 13.

Hope this helps :)

B. {(0, 3), (-6, 8), (-3, 5), (0, -3), (7, 11)} are the sets of ordered pairs which are the relation that is a function.

To determine whether a set of ordered pairs is a function, we need to determine whether each x-value corresponds to only one y-value. In other words, the x-values in the set should be unique and not repeated.   For the set A. {(2, 4), (2, 6), (2, 8), (2, 10), (2, 12)}, we can see that the x-value 2 is repeated multiple times, and thus, it is not a function.  For the set B. {(0, 3), (-6, 8), (-3, 5), (0, -3), (7, 11)}, each x-value is unique and thus, it is a function.   For the set C. {(8, 1), (-4, 1), (3, 5), (0, 4), (-1, 2)}, we can see that the y-value 1 is repeated twice, and thus, it is not a function.  For the set D. {(-5, -4), (-4, -3), (-3, -2), (-4, -5), (-2, -1)}, each x-value is unique and thus, it is a function.  Therefore, the answer is B. {(0, 3), (-6, 8), (-3, 5), (0, -3), (7, 11)}.

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Answer:

200.96cm^2

Step-by-step explanation:

the circle's diameter is 16cm --> the radius is 8cm

the area of the circle is 8^2 x 3.14 = 200.96 cm^2

Answer:

7.81 units

Step-by-step explanation:

To find the distance between two points, we can use the distance formula:

d = √((x2 - x1)^2 + (y2 - y1)^2)

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

Using the coordinates given in the problem, we can plug in the values into the formula:

d = √((4 - (-2))^2 + (1 - (-4))^2)

Simplifying this expression, we get:

d = √((6)^2 + (5)^2)

d = √(36 + 25)

d = √61

Therefore, the distance between the two points (-2,-4) and (4,1) is √61 (square root of 61), which is approximately 7.81 units.

Answer:

y= 490 - 2x

Step-by-step explanation:

Answer: Do I get brainliest if I try? 7 = 490 - 2x

Step-by-step explanation:

Answer:

8m-5

Step-by-step explanation:

7m-4+5m-1-4m

= 8m-5

By using the equation for the line of best fit, the salary for an employee with 7 years of experience is: D. $55,573.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

In this scenario, the employee's years of experience would be plotted on the x-axis of the scatter plot while salary would be plotted on the y-axis of the scatter plot.

By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that the equation for the line of best fit is given by:

y = 2233.3x + 39940

Next, we would use the equation for the line of best fit to predict the salary for an employee with 7 years of experience:

y = 2233.3(7) + 39940

y = 15,633.1 + 39940

y = 55,573.1 ≈ $55,573.

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Answer:

D

Step-by-step explanation:

$55,573

Answer:

y=5x+53

Step-by-step explanation:so all i did was go into the demos app and typed in y=5x-7 and then i entered y=5x+30 and i kept going up until i found the right answer

Answer:

Subtract 5 from both sides of the equation.

Step-by-step explanation:

Given the function:

\(5+|2x-4|=9\)

First step to solve the above equation is to isolate the absolute value function i.e. one side(either Left Hand Side or Right Hand Side) of equation must contain the terms containing the absolute function only.

In Left Hand Side, we have the absolute value function added to 5.

If we subtract 5 from both the sides, we get:

\(5+|2x-4|-5=9-5\\\Rightarrow |2x-4|=4\)

So, after "subtracting 5 from both sides of the equation", the absolute function gets isolated on the left hand side of the equation i.e. Left Hand Side contains the absolute value function only.

Answer:

I just finished the Quiz and the Correct answer is "Subtract 5 from both sides of the equation"

Step-by-step explanation:

Answer:In this question , the area of square frame is given which is 30 square inches .

And we have to find the length of the square frame .

Here we use the area of square, which is

Substituting the value of given area and solving for length, we will get

TO get rid of square , we have to take square root to both sides.

THerefore the length of the square frame is approximately 5.48 inches .

Step-by-step explanation:

Answer: search up linear or non linear calculator on google

Step-by-step explanation:

Hope that helps

Answer: 5/8

Step-by-step explanation:

The expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards. The correct option is B.

The area of the gray region is the area of the rectangular backyard minus the area of the circular pond.

The area of the rectangular backyard is given as 6x+14x-12 square yards, which simplifies to 20x-12 square yards.

The area of the circular pond is given as 3x²-4x+5 square yards.

So, the area of the gray region is:

(20x-12) - (3x²-4x+5)

= 20x-12 - 3x²+4x-5

= 3x²+10x-17

Therefore, the expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards.

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Answer: A C and D

Step-by-step explanation:

Answer: A B

Step-by-step explanation: because I sadly had to figure it out, anyways hope this helps y'all

Answer:

i think its 40

Step-by-step explanation:

Answer:

Its 30

Step-by-step explanation:

Its a right triangle which equals 90 so,

90-60=30

A differential equation with some initial conditions is used to solve an initial value problem.

The required particular solution is given by the relation:

\($4y^{(3/2)} = 9e^{(-2x/3)} + 23\)

An initial value problem in multivariable calculus is an ordinary differential equation with an initial condition that specifies the value of the unknown function at a given point in the domain. In physics or other sciences, modeling a system frequently entails solving an initial value problem.

Let the given equation be \($y^{1/2} dy\ dx y^{3/2} = 1\), y(0) = 9

\($(\sqrt{y } ) y^{\prime}+\sqrt{(y^3\right\left) }=1\) …..(1)

Divide the given equation (1)  by \($\sqrt{ y} $\)  giving

\($y^{\prime}+y=y^{(-1 / 2)} \ldots(2)$\), which is in Bernoulli's form.

Put \($u=y^{(1+1 / 2)}=y^{(3 / 2)}$\)

Then \($(3 / 2) y^{(1 / 2)} \cdot y^{\prime}=u^{\prime}$\).

Multiply (2) by \($\sqrt{ } y$\) and we get

\(y^{(1 / 2)} y^{\prime}+y^{(3 / 2)}=1\)

(2/3) \(u^{\prime}+u=1$\) or \($u^{\prime}+(3 / 2) y=3 / 2$\),

which is a first order linear equation with an integrating factor

exp[Int{(2/3)dx}] = exp(2x/3) and a general solution is

\(u. $e^{(2 x / 3)}=(3 / 2) \ln \[\left[e^{(2 x / 3)} d x\right]+c\right.$\)  or

\(\mathrm{y}^{(3 / 2)} \cdot \mathrm{e}^{(2x / 3)}=(9 / 4) \mathrm{e}^{(2x / 3)}+{c}\)

To obtain the particular solution satisfying y(0) = 4,

put x = 0, y = 4, then

8 = (9/4) + c

c = (23/4)

Hence, the required particular solution is given by the relation:

\($4y^{(3/2)} = 9e^{(-2x/3)} + 23\)

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Answer:

11 pi

Step-by-step explanation:

khan academy

The length of arc is \(11.04\pi\)

Given that, radius of circle is 6 unit.

And an arc in this circle has a central angle of 330 degree.

First we have to convert given angle into radian.

           330 degree \(=330*\frac{\pi}{180} =1.84\pi\)

As we know that,

             angle  \(\theta=\frac{Arc}{radius}\\\)

Substitute values in above relation.

                  \(Arc=1.84\pi *6\\\\Arc=11.04\pi\)

Thus, the length of arc is \(11.04\pi\)

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\(\mathbb{HOPE\:IT\:HELPS!}\)

~Stargazing~

Tom's increased monthly rent after the 8.5% increase will be R1356.25.

From the question, we have the following parameters that can be used in our computation:

Monthly rent = R1250

Yearly rate = 8.5%

If Tom pays R1250 every month, then his annual rent is:

Annual rent = 1250 * 12 = R15000.

If his annual rent increased by 8.5%, his new annual rent will be

New = 15000 * (1 + 0.085) = 16275.

Divide by 12 to get the increased monthly rent

Increased monthly rent = 16275 / 12 = R1356.25.

Hence, the rent is R1356.25.

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Answer:

please tell me your question

After using concept of proportions, 20 of the bag's black marbles were chosen, 10 of the bag's red marbles were not chosen and  4 of the bag's black marbles were not chosen.

To answer the questions using the given information, we can use the concept of proportions. The formula we can use is:

Part/Whole = Fraction/Total

(a) To find the number of black marbles chosen, we need to calculate 5/6 of the total black marbles in the bag. Given that there are 24 black marbles in the bag, we can calculate:

Number of black marbles chosen = (5/6) * 24 = 20

Therefore, 20 of the bag's black marbles were chosen.

(b) To find the number of red marbles not chosen, we first need to determine the total number of red marbles in the bag. We know that there are 34 marbles in total and 24 of them are black. Therefore, the number of red marbles can be calculated as:

Number of red marbles = Total marbles - Number of black marbles = 34 - 24 = 10

Since all the black marbles were chosen (as calculated in part (a)), the number of red marbles not chosen would be the remaining red marbles. Therefore, 10 of the bag's red marbles were not chosen.

(c) To find the number of black marbles not chosen, we can subtract the number of black marbles chosen (as calculated in part (a)) from the total number of black marbles in the bag:

Number of black marbles not chosen = Total black marbles - Number of black marbles chosen = 24 - 20 = 4

Therefore, 4 of the bag's black marbles were not chosen.

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