Solve the equation for x:
7 + 15 + 2x] = 16

We need a sample size of at least 2 subjects to estimate the average number of books Americans read each year with a margin of error of 0.57 books and 80% confidence.

To determine the number of subjects needed to estimate the average number of books Americans read each year with a margin of error of 0.57 books and 80% confidence, we can use the formula:

n = (Z * σ / E)^2

Where:
n = sample size needed
Z = Z-value corresponding to the desired level of confidence (in this case, 80% confidence corresponds to a Z-value of 1.28)
σ = standard deviation of the population (unknown in this case)
E = desired margin of error (0.57 books)

Since the standard deviation of the population is unknown, we can use a conservative estimate of 0.5 for σ. Plugging in the values:

n = (1.28 * 0.5 / 0.57)^2
n ≈ (0.64 / 0.57)^2
n ≈ 1.122^2
n ≈ 1.259

Since we can't have a fraction of a subject, we need a sample size of at least 2 subjects to estimate the average number of books Americans read each year with a margin of error of 0.57 books and 80% confidence.

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The best point estimate for the mean monthly car payment for all residents of the local apartment complex is 631

The best point estimate for the mean monthly car payment for all residents of the local apartment complex is simply the sample mean, which is $631. This is because the sample mean is an unbiased estimator of the population mean, meaning that on average, it will give us an accurate estimate of the true population mean.

To explain this in mathematical terms, let's use X to represent the monthly car payment for an individual resident of the apartment complex. We have a sample of n=97 residents, and we can calculate the sample mean as follows:

\($\bar{X} = \frac{1}{n} \sum_{i=1}^{n} X_i$\)

In this case, we know that \(\bar{X} = $631,\) so this is our point estimate for the population mean:

\($\mu \approx \bar{X} = 631$\)

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Answer:

area ≈ 12.505

perimeter ≈  16.1684

Step-by-step explanation:

We are given

- the radius of the circle (and therefore area of the circle)

- the area of the triangle

We want to find

- angle AOB/AOT. We want to find this because 360/the angle gives us how many OABs fit into the circle. For example, if AOT was 30 degrees, 360/30 = 12 (there are 360 degrees in a circle, so that's where 360 comes from). The area of the circle is equal to πr² = π6² = 36π, and because AOT is 30 degrees, there are 12 equal parts of sector OAB in the circle, so 36π/12=3π would be the area of the sector. A similar conclusion can be reached from the circumference instead of the area to find the distance between A and B along the circle, and OA + AB + BO = the perimeter of the minor sector.

First, we can say that OAT is a right triangle because a tangent line is perpendicular to the line from the center to the point on the circle, so AT is perpendicular to OA. This forms two right angles, one of which is OAT

One thing that we can start to solve is AT. We know that the area of a triangle is equal to base * height /2, and the height of this triangle is AO, with the base being AT. Therefore, we can say

15 = AO * AT / 2

15 = 6 * AT / 2

15 = 3 * AT

divide both sides by 3 to isolate AT

AT = 5

Because OAT is a right triangle, we can say that the hypotenuse ² =  the sum of the squares of the two other lengths. The hypotenuse is opposite of the largest angle (in this case, the right angle, as in a right triangle, the right angle is always the largest), so it is OT in this case. The other two sides are OA and AT, so we can say that

OA² + AT² = OT²

5²+6² = OT²

25+36=61=OT²

square root both sides

OT = √61

Next, the Law of Sines states that

sinA/a = sinB/b = sinC/c with angles A, B, and C with sides a, b, and c. Corresponding sides are opposite their corresponding angles, so in this case, AT corresponds to angle AOT, OT corresponds to angle OAT, and AO corresponds to angle ATO.

We want to find angle AOT, as stated earlier, so we have

sin(OAT)/OT = sin(ATO)/OA = sin(AOT)/AT

We know the side lengths as well as OAT/sin(OAT) and want to figure out AOT/sin(AOT), so one equation that helps us get there is

sin(OAT)/OT = sin(AOT)/AT, encompassing our 3 known values and isolating the one unknown. We thus have

sin(90)/√61 = sin(AOT) /5

plug in sin(90) = 1

1/√61 = sin(AOT)/5

multiply both sides by 5 to isolate sin(AOT)

5/√61 = sin(AOT)

we can thus say that

arcsin(5/√61) = AOT ≈39.80557

As stated previously, given ∠AOT, we can find the area and perimeter of the sector. There are 360/39.80557 ≈ 9.04396 equal parts of sector OAB in the circle. The area of the circle is πr² = 36π, so 36π / 9.04396 ≈ 12.505 as the area. The circumference is equal to π * diameter = π * 2 * radius = 12 * π, and there are 9.04396 equal parts of arc AB in the circumference, so the length of arc is 12π / 9.04396 ≈ 4.1684. Add that to OA and OB (both are equal to the radius of 6, as any point from the center to a point on the circle is equal to the radius) to get 6+6 + 4.1684 = 16.1684 as the perimeter of the sector

Answer:

Step-by-step explanation:

interior angle =(n-2)180

=(4-2)*180

=360

360=164+71+24+x

360=260+x

x=360-260

x=100

Answer:

Step-by-step explanation:

Since angles in quadrilateral (4-sided shape) add up to 360 degrees

therefore,

360 = 164 + 71 + 25 + x

360 = 260 + x

subtract 260 from both sides

360-260 = 260-260 + x

100 = x

Hello!

To solve this exercise about Simple Interest, we have to use the formula below:

• P, = principal (5,500)

• R, = rate (7% = 0.07 for year)

• T, = time (1 year)

Let's replace the values in the formula:

So, the interest earned in 1 year is $385.

Answer:

A, B, C

Step-by-step explanation:

just put it into the formula a^2+b^2=c^2

a) 12^2+16^2

= 144+256

= 400 = 20^2

b) 4.5^2+6^2

= 20.25+36

= 56.25 = 7.5^2

c) 5^2+12^2

= 25+144

= 169 = 13^2

The next two dont match

Measure of arc MLK is 270°

Angle MKL = 135 degrees

We are looking for the measure of the arc MLK

The diagram shows an angle formed by a chord (MK) and tangent

The relationship between angle formed by a chord and tangent:

Measure of arc MLK:

Answer:

x = 41 degrees

Step-by-step explanation:

Since two of the sides are shown as being congruent, the base angles are the same. We are given the top angle, which is 98 degrees. All the angles of a triangle add up to 180. We can subtract 98 from 180, giving us 82, and divide that by two (since the base angles are congruent), giving us a measure of 41 degrees for each of the bottom angles of the isosceles triangle.

Answer:

6.3×10^6

Step-by-step explanation:

6.3×10^6

in standard form

1. 3 + x = -8 | × = -11

2. 2.5 times x = 5 | x = 2

a. The probability that the top-selling Red and Voss tire wears out before 60,000 miles can be found by calculating the Z-score and using a standard normal distribution table. The Z-score formula is: Z = (X - μ) / σ, where X is the distance (60,000 miles), μ is the mean (71,000 miles), and σ is the standard deviation (5,000 miles).

Z = (60,000 - 71,000) / 5,000 = -11,000 / 5,000 = -2.2. Using a standard normal distribution table, the probability is approximately 0.0139 or 1.39%.

b. To find the probability that a tire lasts more than 81,000 miles, calculate the Z-score: Z = (81,000 - 71,000) / 5,000 = 10,000 / 5,000 = 2. Using the standard normal distribution table, the probability of a Z-score less than 2 is approximately 0.9772. Since we want the probability of the tire lasting more than 81,000 miles, we need to find the complement: 1 - 0.9772 = 0.0228 or 2.28%.

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Answer:

x+8 i used mathaway i recommend it for math

\(5x - 4x + 8\\x + 8\\\\ahi queda creo \\pero si esque te confundiste y pusiste "-" en vez de poner "=" seria:\\5x = 4x + 8\\x = 8\\xd 7w7\)

Answer:

-13/10

Step-by-step explanation:

It wont be -7/10 because to change a mixed number to an improper fraction, we multiply the whole number by the denominator and then add this product with the numerator.

Answer:

Mr. A initially paid approximately N8000 for the land.

Step-by-step explanation:

Step 1: Let's assume Mr. A initially purchased the land for a certain amount, which we'll call "x" in currency units.

Step 2: Mr. A sold the land to Mr. B at a profit of 10%. This means Mr. A sold the land for 110% of the amount he paid (1 + 10/100 = 1.10). Therefore, Mr. A received 1.10x currency units from Mr. B.

Step 3: Mr. B sold the land to Mr. C at a gain of 5%. This means Mr. B sold the land for 105% of the amount he paid (1 + 5/100 = 1.05). Therefore, Mr. B received 1.05 * (1.10x) currency units from Mr. C.

Step 4: According to the given information, Mr. C paid N1240 more for the land than Mr. A paid. This means the difference between what Mr. C paid and what Mr. A paid is N1240. So we have the equation: 1.05 * (1.10x) - x = N1240

Step 5: Simplifying the equation: 1.155x - x = N1240

Step 6: Solving for x: 0.155x = N1240

x = N1240 / 0.155

x ≈ N8000

Therefore, in conclusion, Mr. A initially paid approximately N8000 for the land.

Answer:

\(h=x^2-12x+35\)

Step-by-step explanation:

Since \(x=5\) is the solution to \(x-5=0\) and \(x=7\) is the solution to \(x-7=0\), then we multiply the two expressions to get our quadratic function:

\(h=(x-5)(x-7)\\\\h=x^2-12x+35\)

Review the attached graph for a visual

(a) The net change from t = 5 to 6 is 17, and (b) the average rate of change is also 17.

a) To find the net change, we evaluate the function h(t) at t = 6 and subtract the value at t = 5.

h(6) = 2(6)² - 6 = 72 - 6 = 66

h(5) = 2(5)² - 5 = 50 - 5 = 45

Net change = h(6) - h(5) = 66 - 45 = 17.

b) In this case, the difference in function values is 17 (as calculated in part (a)), and the difference in variable values is 6 - 5 = 1. Thus, the average rate of change = net change / difference in variable values = 17 / 1 = 17.

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Answer:

x cubed minus y cubed is equal to 504

Step-by-step explanation:

First we need to know what the values of x and y are.  We can do this pretty easily, by just solving both equations for x, and equating them to each other:

With the first:

x + y = 10

x = 10 - y

And with the other

x - y = 6

x = 6 + y

Now that we have two definitions of x, we can say that the expressions are equal, and solve for y:

10 - y = 6 + y

10 - 6 = y + y

4 = 2y

y = 2

And now that we know what y is, we can find x:

x = 10 - y

x = 10 - 2

x = 8

So x is equal to eight.  We can check our answer by plugging x into the other equation and seeing if we get the same value for y:

x - y = 6

8 - y = 6

-y = 6 - 8

-y = -2

y = 2

So we know we solved that correctly.

Now if we cube each number, eight cubed is equal to 512, and 2 cubed is equal to 8.  If we subtract the latter from the former we get 504.

so x cubed minus y cubed is equal to 504

According to the given data 47% of the fans that attend the event, purchase the peanuts.

The sample collected was among 200 fans which means total fans = 200

out of which 94 fans purchased peanuts which means

Percentage of Fans purchased Peanuts  = \(\frac{94}{200}\)  X 100

                                                                     = 47 %

Not exactly the half of the fans purchased the peanuts but approximately half that is 3% less than 50 % fans puchased the peanuts which implies => 47 % fans purchased peanuts.                

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6

(4=8 so 8+4=12 which means, the answer is 2 because we can´t do 16, which is 8+8. But we can split the 4 in half since 4 is half of 8.)

Answer:

sorry i coldent find the anser

Step-by-step explanation:

ello

+v+

Answer:

The slope indicates that the soup kitchen uses 63 cans per day. The y-intercept shows that there were initially 825 cans at the soup kitchen.

Step-by-step explanation:

Answer:

If the formula x=1

- EX; is used to find the mean of the following sample,

what is the value of n?

51, 37, 83, 44, 52, 19, 99, 7, 36, 88

A. 11

B. 10

C. 9

D. 12

Crickets must have been introduced at the lambda = 2 is 20.

Given:

you observe 40 crickets on an island after crickets were first introduced 2 years ago ,  at the lambda = 2 how many number of crickets must have been introduced .

Let x be the crickets must have to been introduced.

Number of crickets = observed crickets / lambda value

we know that,

Observed crickets = 40

lambda value = 2

substitute these values

Number of crickets = observed crickets / lambda value

= 40 / 2

= 20 crickets.

Therefore Crickets must have been introduced at the lambda = 2 is 20.

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Full question:

you observe 40 crickets on an island after crickets were first introduced 2 years ago. at lambda = 2 how many crickets must have been introduced?

In its simplest form, the slope of the line AB is 3/2.

The y-rate axis's of change with respect to the x-axis is known as the slope.

Y = mx + b, where slope = m and y-intercept = b, is the slope-intercept form equation of a line.

We are aware that a slope's graph or rate of change will be steeper the higher its absolute value.

Also, we are aware that the slope is defined as rise over run, where rise denotes the y-axis and run the x-axis.

The ascent from B to C is 3, and the run from B to C is 2.

As a result, the line AB has a slope of 3/2.

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The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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I'm uploading a picture because it thought it had innapropriate words for some reason.

The transformation of a shape includes rotating and reflecting the shape;

(a) Image of BC after \(120^o\) rotation

First, we calculate the angle of rotation, to make the hexagon lie onto itself

\(\alpha = \frac{\theta}{n}\)

Where:

\(\theta = 360^o\) --- angle at the center of the hexagon and the circle

\(n = 6\) -- sides of hexagon

So, we have:

\(\alpha = \frac{360^o}{6}\)

\(\alpha = 60^o\)

This means that a \(60^o\) rotation would make the hexagon lie onto itself.

We have that:

\(120^o = 60^o \times 2\)

This means that the shape can be rotated \(60^o\)  twice to achieve the \(120^o\) rotation.

The image of BC at the first \(60^o\) rotation is AB

The image of BC at the next \(60^o\) rotation is FA

Hence, the image of BC after \(120^o\) is FA

(b) Image of BC after reflection over line FC

Line FC divides the hexagon into equal halves.

So, when reflected over line FC, each segment would be flipped on the opposite segment.

The opposite of segment BC is DC.

Hence, the image of BC reflecting over FC is DC.

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The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

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Answer:

x=14

Step-by-step explanation:

We know JNK+KNI must equal 180 because it is half of a circle.

31+9x+23=180

9x=126

x=14

Answer:

If the 7 4 and the -3 are circled then it's coefficient. I have the same vocab quiz lol