a group of people would like to buy a vacation cabin for 600,000, sharing the cost equally. if they could find five more people to join them, each person's share would be reduced by 6,000. how many people are in the group

Using sampling concepts, the representative sample is given as follows:

D. Every fifth student from an alphabetical list of all seventh graders in the school.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the population is all seventh graders, hence the sample has to be representative of all seventh graders. Thus the correct option is:

D. Every fifth student from an alphabetical list of all seventh graders in the school.

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Answer:

$15 for 5 cupcakes

Answer:

Nickel is not a layer of earth. It is a white metal that belongs to the group of transition metals and is said to be present in the core of the Earth. Sial- refers to the upper layer of the Earth's crust. This layer has an abundance of minerals having aluminum and silicates.

Answer:

I dont see the following but these are the layers of the Earth

Step-by-step explanation:

Answer:

a) 54.6

b) 140

Step-by-step explanation:

7644 ÷ 140 = 54.6

so;

7644 ÷ 54.6 = 140

Answer:

a) 54.6

b) 140

these are the answers :))))

Step-by-step explanation:

1) To draw triangle ABC, we start by drawing a line segment BC of length 6 cm. Then we draw an angle of 40° at point B, and an angle of 60° at point C. We label the intersection of the two lines as point A. This gives us triangle ABC.

```

C

/ \

/ \

/ \

/ \

/ \

/ \

/ \

/_60° 40°\_

B A

```

2) To find the measure of angle BAC, we can use the fact that the angles in a triangle add up to 180°. Therefore, angle BAC = 180° - 40° - 60° = 80°.

3) To show that ABD is an isosceles triangle, we need to show that AB = AD. Let E be the point where the bisector of angle BAC intersects AB. Then, by the angle bisector theorem, we have:

AB/BE = AC/CE

Substituting the given values, we get:

AB/BE = AC/CE

AB/BE = 6/sin(40°)

AB = 6*sin(80°)/sin(40°)

Similarly, we can use the angle bisector theorem on triangle ACD to get:

AD/BD = AC/BC

AD/BD = 6/sin(60°)

AD = 6*sin(80°)/sin(60°)

Since AB and AD are both equal to 6*sin(80°)/sin(40°), we have shown that ABD is an isosceles triangle.

4) To show that MD is the perpendicular bisector of AB, we need to show that MD is perpendicular to AB and that MD bisects AB.

First, we can show that MD is perpendicular to AB by showing that triangle AMD is a right triangle with DM as its hypotenuse. Since M is the midpoint of AB, we have AM = MB. Also, since ABD is an isosceles triangle, we have AB = AD. Therefore, triangle AMD is isosceles, with AM = AD. Using the fact that the angles in a triangle add up to 180°, we get:

angle AMD = 180° - angle MAD - angle ADM

angle AMD = 180° - angle BAD/2 - angle ABD/2

angle AMD = 180° - 40°/2 - 80°/2

angle AMD = 90°

Therefore, we have shown that MD is perpendicular to AB.

Next, we can show that MD bisects AB by showing that AM = MB = MD. We have already shown that AM = MB. To show that AM = MD, we can use the fact that triangle AMD is isosceles to get:

AM = AD = 6*sin(80°)/sin(60°)

Therefore, we have shown that MD is the perpendicular bisector of AB.

5) Finally, to show that DM = DN, we can use the fact that triangle DNM is a right triangle with DM as its hypotenuse. Since DN is the orthogonal projection of D on AC, we have:

DN = DC*sin(60°) = 3

Using the fact that AD = 6*sin(80°)/sin(60°), we can find the length of AN:

AN = AD*sin(20°) = 6*sin(80°)/(2*sin(60°)*cos(20°)) = 3*sin(80°)/cos(20°)

Using the Pythagorean theorem on triangle AND, we get:

DM^2 = DN^2 + AN^2

DM^2 = 3^2 + (3*sin(80°)/cos(20°))^2

Simplifying, we get:

DM^2 = 9 + 9*(tan(80°))^2

DM^2 = 9 + 9*(cot(10°))^2

DM^2 = 9 + 9*(tan(80°))^2

DM^2 = 9 + 9*(cot(10°))^2

DM^2 = 9 + 9*(1/tan(10°))^2

DM^2= 9 + 9*(1/0.1763)^2

DM^2 = 9 + 228.32

DM^2 = 237.32

DM ≈ 15.4

Similarly, using the Pythagorean theorem on triangle ANC, we get:

DN^2 = AN^2 - AC^2

DN^2 = (3*sin(80°)/cos(20°))^2 - 6^2

DN^2 = 9*(sin(80°)/cos(20°))^2 - 36

DN^2 = 9*(cos(10°)/cos(20°))^2 - 36

Simplifying, we get:

DN^2 = 9*(1/sin(20°))^2 - 36

DN^2 = 9*(csc(20°))^2 - 36

DN^2 = 9*(1.0642)^2 - 36

DN^2 = 3.601

Therefore, we have:

DM^2 - DN^2 = 237.32 - 3.601 = 233.719

Since DM^2 - DN^2 = DM^2 - DM^2 = 0, we have shown that DM = DN.

The equation is 5 + x - 4 + x - 5 = 10 + 16 + x - 10 and on solving the value of x is 20

The perimeter of a triangle is calculated by the summation of all the sides of a triangle

It is given that both the triangles have the same perimeter, so summation of all the sides of one triangle is equal to summation of all the sides of another triangle

Therefore the equation can be 5 + x - 4 + x - 5 = 10 + 16 + x - 10

Further solving the equation to calculate the unknown variable x

5 + x - 4 + x - 5 = 10 + 16 + x - 10

2x - 4 = x + 16

2x - x = 16 + 4

x = 20

The ēquation is 5 + x - 4 + x - 5 = 10 + 16 + x - 10 and on solving the value of x is 2

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Step-by-step explanation:

If the testing firm rejects the null hypothesis at the 0.10 level of significance, it means that they have found evidence that suggests that the publisher's claim of 43% ownership of personal computers among readers is inaccurate.

Since the null hypothesis always assumes that there is no statistically significant difference between the observed data and the expected data, rejecting it means that there is a statistically significant difference between the observed data and the expected data. In this case, it means that the proportion of readers who own a personal computer is significantly different from 43%.

However, it is important to note that rejecting the null hypothesis does not necessarily prove that the publisher's claim is completely false or inaccurate. It only suggests that there may be reason to question its accuracy. Further investigation and testing would be needed to establish a more confident conclusion.

Answer:

  the median will go up 2.5 points from 76 to 78.5

Step-by-step explanation:

You want to know the effect on the median of adding 85 to the list of scores: 76, 96, 81, 69, 41.

The median is the middle value when the list is sorted into order. The ordered list is ...

  41, 69, 76, 81, 96

The median is 76.

When 85 is added to the list, the sorted list becomes ...

  41, 69, 76, 81, 85, 96

There are two middle scores, so the median is their average:

  (76+81)/2 = 78.5

The median increases 2.5 points from 76 to 78.5 when the score is added.

The probability of rolling an even number or a multiple of 3 is 3/4.

Probability determines the odds that a random event would happen. The probability the event takes place is 1 and the probability that the event does not happen is 0.

An even number is a number that is perfectly divisible by 2.

Probability of rolling an even number = number of sides that are even / total number of sides

Sides that are even = 2, 4, 6

Probability of rolling an even number = 3/6 = 1 / 2

Probability of rolling a multiple of 3 = number of sides that are multiples of 3  / total number of sides

Sides that are multiples of 3 = 3, 6

Probability of rolling a multiple of 3 = 2/6 = 1/2

The probability of event B or C = 1/4 + 1/2 = 3/4

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Answer:

23

Step-by-step explanation:

                                                             y = 23

The correct points which are solution of inequality are,

D. (0, -10)

We have to given that;

Inequality is,

y < - 3x - 2

By option A;

y < - 3x - 2

2 < -3(0) - 2

2 < - 2

Which is not possible.

By option B;

y < - 3x - 2

4 < - 3(0) - 2

4 < - 2

Which is not possible.

By option C;

y < - 3x - 2

4 < - 3 (6) - 2

4 < - 18 - 2

4 < - 20

Which is not possible.

By option D;

y < - 3x - 2

- 10 < - 3 (0) - 2

- 10 < - 2

Which is true.

Hence, The correct points which are solution of inequality are,

D. (0, -10)

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Which one of these points is a solution to y<-3x - 2?

A. (0, 2)

B. (0.4)

C. (6,4)

D. (0-10)

Answer:

-5i

Step-by-step explanation:

Answer:

No. There should be 210 small triangles

Step-by-step explanation:

The number of small triangles in these figures forms a sequence

Fig         No Small Triangles
1             1
2            3  (1+2)
3            6  (1+2+3)

So the nth figure should have 1+2+3+.....+(n-1)+ n

1+2+3+.....+(n-1)+ n = \(\frac{n (n-1)}{2}\)
So for 20th figure, n = 20 and number of small triangles = 20 x 21 /2 = 420/2 = 210

Answer:

fraction form: x =27/4

decimal form: x= 6.75

Step-by-step explanation:

if u input the function into M a Thway, you get the answer in seconds!

Answer:

9x7ym+b=83

Step-by-step explanation:

a: f(x) = 0, x >= 4

b)  P(2/3< X <3)= 5/6

c)  P(X>3. 5)=3/4

d) The 60th percentile 2.2

e) P(X = 3) = 0.

a). To find the pdf of X, we take the derivative of the cdf:

f(x) = F'(x) = 0, x < 2

f(x) = 1/2, 2 <= x < 4

f(x) = 0, x >= 4

b. Using the cdf, we have

P(2/3 < X < 3) = F(3) - F(2/3) = [(3-2)/2] - [(2/3-2)/2] = 5/6

c. Similarly,

P(X > 3.5) = 1 - F(3.5) = 1 - [(3.5-2)/2] = 3/4

d. The 60th percentile is the value x such that P(X <= x) = 0.6. Using the cdf,

0.6 = F(x)

x = (0.6*2) + 2 = 2.2

e. Since X is a continuous random variable, P(X = 3) = 0.

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Let's assume the amount invested at the higher interest rate (16%) is x dollars.

The amount invested at the lower interest rate (6%) would then be ($80,000 - x) dollars, as the total investment is $80,000.

The interest earned from the investment at 16% is calculated as (x * 16%) = 0.16x dollars.

The interest earned from the investment at 6% is calculated as (($80,000 - x) * 6%) = 0.06(80,000 - x) dollars.

According to the given information, the retiree receives a total interest of $8,900 per year. So we can set up the equation:

0.16x + 0.06(80,000 - x) = 8,900

Now, let's solve the equation to find the value of x:

0.16x + 0.06(80,000 - x) = 8,900

0.16x + 4,800 - 0.06x = 8,900

0.1x + 4,800 = 8,900

0.1x = 8,900 - 4,800

0.1x = 4,100

x = 4,100 / 0.1

x = 41,000

Therefore, $41,000 is being invested at the higher interest rate (16%).

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Answer:

The x-intercept indicates that he has 29 ten dollar bills

and no five dollar bills. The y-intercept indicates that he has 58 five

dollar bills and no ten dollar bills.

Step-by-step explanation:

Answer:

9.5

Step-by-step explanation:

The solutions to the quadratic equation 3u^2 + 6u - 9 = 0 are u = 1 and u = -3.

To solve the quadratic equation 3u^2 + 6u - 9 = 0 using the quadratic formula, we can substitute the coefficients into the formula and simplify.

The quadratic formula is given as: u = (-b ± √(b^2 - 4ac)) / (2a)

In this equation, a = 3, b = 6, and c = -9. Substituting these values into the formula, we get:

u = (-6 ± √(6^2 - 4 * 3 * -9)) / (2 * 3)

Simplifying further:

u = (-6 ± √(36 + 108)) / 6

u = (-6 ± √144) / 6

u = (-6 ± 12) / 6

Now, we have two possible solutions:

u = (-6 + 12) / 6 = 6 / 6 = 1

u = (-6 - 12) / 6 = -18 / 6 = -3

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For the given opens down parabola, ordered pair of the vertex (h, k) = (1, -4)  , the maximum value of the parabola is y = -4.

As given,

Graph of parabola shows it open down parabola.

Vertex is the highest point on the graph of parabola.

it is known as the maximum value.

Let (h, k) be the vertex of the given parabola.

From the graph value of the vertex is equal to :

(h ,k)=(1, -4)

h represents the x-coordinate.

k represents the y-coordinate.

y-coordinate represents the maximum value of the parabola.

y =-4 is the maximum value.

Therefore, for the given opens down parabola, ordered pair of the vertex (h, k) = (1, -4)  , the maximum value of the parabola is y = -4.

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Your answer is wrong. The correct answer is J. She needs to jog another 285 yards.

3 miles is equal to 5280 yards. If she jogged so for 4,995 yards, you need to subtract 4,995 from 5280. Therefore, she needs to jog 285 more yards. Hope this helps! Good Luck!

Answer:

22/17

Step-by-step explanation:

If a/b = 3/4, then a = 3 and b = 4.

6a + b/3a + 2b

Substitute the variables.

6(3) + 4/3(3) + 2(4)

Multiply 6 and 3, 3 and 3, and 2 and 4.

18 + 4/9 + 8

Add 18 and 4, 9 and 8.

22/17.

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

Answer:

\(\frac{49}{25}\)

Step-by-step explanation:

\(\frac{14}{15}\) ÷ \(\frac{10}{21}\)

• leave first fraction

• change division to multiplication

• turn second fraction ' upside down '

= \(\frac{14}{15}\) × \(\frac{21}{10}\) ( cancel 14/10 by 2 and 15/21 by 3 to simplify )

= \(\frac{7}{5}\) × \(\frac{7}{5}\)

= \(\frac{7(7)}{5(5)}\)

= \(\frac{49}{25}\)

3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

3⁴ / 3³ = (3 × 3 × 3 × 3) / (3 × 3 × 3) = 3

This means that 3⁴ is 3 times larger than 3³.

5³ is 5 times larger than 5².

5³ / 5² = (5 × 5 × 5) / (5× 5) = 5

7¹⁰ is 49 times larger than 7⁸.

7¹⁰/ 7⁸ = 7² =49

17⁶ is 289 times larger than 17⁴.

17⁶ /17⁴ = 289

Hence, 3⁴ is 3 times larger than 3³, 5³ is 5 times larger than 5², 7¹⁰ is 49 times larger than 7⁸ and 17⁶ is 289 times larger than 17⁴.

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Answer:

14.1, 14.2, 14.3, 14.4, 14.5, 14.6, 14.7, 14.8, 14.9

Step-by-step explanation:

decimals

Answer:

14.3 and 14.4 But there are also all of the decimals in between

Step-by-step explanation:

14.3 is greater than 14 but at the same time less than 15