15 POINTS IF U ANSWER

Answer:

The true statement about Kendra's sample is:

b) Kendra's samples are precise but not accurate.

Step-by-step explanation:

a) Data and Calculations:

Average age of dogs currently alive = 4.8 years

Average ages of dogs in Kendra's sample

Week   Average Age (in years)

1                    3.7

2                   3.8

3                   4.2

4                   4.1

5                  3.9

6                  3.9

7                  4.0

Total         27.6

Mean = 3.9 (27.6/7)

b) Accuracy refers to how close Kendra's sample mean age of dogs is to the average age value as stated in the Modern Dog Magazine.  While the Magazine stated an average age of 4.8 years, Kendra's sample produced a mean of 3.9 years.  On the other hand, precision refers to how close Kendra's sample measurements are to each other.  With a mean of 3.9 years, the sample measurements are very close to each other.  Therefore, we can conclude that "Kendra's samples are precise but not accurate."

Answer:

Kendra's samples are precise but not accurate.

Step-by-step explanation:

To be accurate and precise they should be around 4.8 for all the measures. We can see that they are all relatively close to one another (between 3.7 and 4.2), so they are precise. However, they are all are smaller than 4.8, so they are not accurate.

Answer: The total profit is $129

Step-by-step explanation:

The total revenue, was $147 (the total they earned), and the cost of the materials is $18 (how much they returned for the materials)

The total profit is computed as the difference between the revenue and the costs, then the total profit of the kids in this case is:

Profit = $147 - $18 = $129

This means that Tia and Jaden earned $129, if they divide it evenly, each one of them gets $129/2 = $64.5

Answer:

  1.079 seconds

Step-by-step explanation:

You want to find t when H(t) = 15.

  15 = -16t^2 +8t +25

  10/16 = t^2 -1/2t . . . . . . subtract 24, divide by -16

  10/16 + 1/16 = t^2 -1/2t +(1/4)^2 . . . . . add (1/4)^2 to complete the square

  11/16 = (t -1/4)^2

  t -1/4 = √(11/16) . . . . . take the positive square root

  t = 1/4 +(√11)/4 = (1+√11)/4 . . . . use a common denominator

You would be 15 ft above the water at t = (1+√11)/4 ≈ 1.079 seconds.

Answer:

  86.75

Step-by-step explanation:

Given test scores of 63.5, 76, and 87 that each count for 20% of your grade, you want to know the fourth test score needed for an average of 80, if the fourth test is worth 40% of your grade.

The grade for the course, with fourth test score x, will be ...

  0.20(63.5 +76 +87) +0.40x = 80

  0.40x +45.3 = 80

Solving for x, we get ...

  0.40x = 34.7 . . . . subtract 45.3

  x = 86.75 . . . . . . . divide by 0.4

The minimum score you need on the fourth test is 86.75.

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\(w^2 - 6w + 4\) is a polynomial that represents how much more profit is earned by selling w apple trees than w pear trees.

The profit earned by selling w pear trees is 2w + 10

To find the difference in profit, we need to subtract the profit earned by selling w pear trees from the profit earned by selling w apple trees:

\((w^2 - 4w + 14) - (2w + 10)\)

Simplifying the expression:

\(w^2 - 6w + 4\)

Therefore, the polynomial that represents how much more profit is earned by selling w apple trees than w pear trees is \(w^2 - 6w + 4\).

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we want to find the number of hours (or rather days) until only 4.25% of the drives fail.

that means for an exponential distribution we have

P(X < x) = 1 - e^(-Lx)

L = 1/mean = 1/12500

and we need to find x, so that P(X <x) = 0.0425 (that is 4.25% converted into a probability).

so, we get

0.0425 = 1 - e^(-x/12500)

0.0425 - 1 = -e^(-x/12500)

-0.9575 = -e^(-x/12500)

0.9575 = e^(‐x/12500)

ln(0.9575) = -x/12500

-x = ln(0.9575)×12500

x = -ln(0.9575)×12500 = - -0.043429558...×12500 =

= 0.043429558...×12500 = 542.8694741... hours

after 542.8694741... hours = 22.61956142... days

it is expected that 4.25% of the hard drives fail.

you left out to what decimal this should be rounded. and if you need hours or days. in case of doubt use hours (as the only other time information is given in hours).

please round yourself as you need.

Answer:

Interest = A - P = 1015 - 1000 = $15

Step-by-step explanation:

Answer:

3(x + 5y) - 2(x + y)

3x + 15y - 2x - 2y

x + 13y

(3x + 15y) + (-2x + -2y)

x + 13y

Step-by-step explanation:

254 = 8 * 30 + 8 * 1 + 6

= 8(30 + 1) + 6

= 8 * 31 + 6.

Hence the quotient is 31 and the remainder is 6.

Answer:

254/8=31.75

Step-by-step explanation:

The remainder of 254 divided by 8 is 6

Answer:

\(1-8x-2x^2\)

Step-by-step explanation:

(-4x^3-14x^2+10x-1)÷(2x-1)

Factor the expressions that are not already factored.

\(\frac{(2x-1)(2x^2-8x+1)}{2x-1}\)

Cancel out 2x−1 in both numerator and denominator.

\(2x^2-8x+1\)

Swap terms to the left side.

\(1-8x-2x^2\)

Graph if needed:

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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Answer: he will be 14

Step-by-step explanation:

Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))

The distance between Basti and Cian is approximately 138.2 ft. Option D

To find the distance between Basti and Cian, we can use the Law of Sines, which relates the lengths of sides to the sines of their opposite angles in a triangle.

Let's label the points: A, B, and C. Ali is at point A, Basti is at point B, and Cian is at point C.

Given:

Angle ABC = 50 degrees (angle opposite side AC)

Angle BAC = 60 degrees (angle opposite side BC)

Ali is 150 ft away from Basti (side AB)

We want to find the distance between Basti and Cian, which is side BC.

Using the Law of Sines, we have:

BC/sin(50) = AB/sin(60)

Substituting the known values:

BC/sin(50) = 150/sin(60)

To find BC, we can rearrange the equation:

BC = (150/sin(60)) * sin(50)

Using a calculator to evaluate the expression:

BC ≈ 138.2 ft

Option D is correct.

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The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

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Answer:

\(period \: of \: sin(2x) = \pi \\ period \: of \: cos \frac{x}{4} = 8\pi \\ period \: of \: tan \frac{x}{3} = 3\pi\)

Step-by-step explanation:

Hello !

\(periodicity \: of \: a.sin(bx + c) + d = \\ \frac{periodicity \: of \: sin(x)}{ |b| } \\ periodicit \: of \: sin \: (x) \: is \: 2\pi = \\ \frac{2\pi}{2} \: simplify = \pi \\ periodicity \: of \: a.cos(bx + c) = \\ \frac{periodicity \: of \: cos(x)}{ |b| } \\ periodicit \: of \: cos \: (x)is \: 2\pi = \\ \frac{2\pi}{1\frac{1}{4} } \: simplify \: = 8\pi \\ periodicity \: of \: a.tan(bx + c) = \\ \frac{periodicity \: of \: tan(x)}{ |b| } \\ periodicity \: of \: tan(x) \: is \: \pi \\ \frac{\pi}{} \frac{1}{3} \)

Answer:90 degrees

Step-by-step explanation:

Answer:

The correct answer is

Fact

a thing that is known or proved to be true

Hope this helps

- Quinn

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

1.243 is the measure of the value of x from the given expression

Rational equations are those that contain rational expressions. A rational expression is a fraction with polynomial numerator and denominator. A rational expression, in other terms, is a ratio between two polynomials.

Given the following rational equation

√11 x = √17

We need to determine the measure of the value of x.

Taking the square of both sides we will have:

(√11 x)² = (√17)²

11x² = 17

x² = 17/11

x² = 1.545

Take the square root of both sides

√x² = √1.545
x = 1.243

Hence the measure of the value of x from the given equation is 1.243.

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Answer:

you're right it's 218

Step-by-step explanation:

you simply just put 5 instead of n in the equation then calculate. It's simple as that!

polynomials

-

k (x) = (¼)^x

if x = 0 then k(0) = 1

if x = 1 then k(1) = ¼

if x = 3 then k(3) = 1/64

So, the answer is A

Answer:

Your taxes are $13,425

Step-by-step explanation:

Taxes paid by Americans depend on their income. If they earn between $114,500 and $163,000, they must pay a fixed amount of $6,250 plus 35% of the income over $114,500.

If you earn $135,000, you definitely all into the described bracket. We need to calculate the income above the minimum $114,500:

taxable income=$135,000-$114,500=$20,500

Thus, you must pay:

Tax = $6,250 + 35% of $20,500

Tax = $6,250 + 35/100 $20,500

Tax = $6,250 + $7,175 = $13,425

Your taxes are $13,425

The required function is (v + w)(x) = 7x + 14 representing the total number of stores the company will have in Virginia and West Virginia in x years.

Over the next x years, the number of stores the company has in Virginia and West Virginia will be modeled by functions v and w, respectively:

v(x) = 8 + 4x  ....(i)

w(x) = 6 + 3x ....(ii)

So the total number of stores the company will have in Virginia and West Virginia in x years :

⇒ (v + w)(x) = v(x) + w(x)

Substitute the values of v(x) and w(x) in the above equation,

⇒ (v + w)(x) = 8 + 4x + 6 + 3x

⇒ (v + w)(x) = 7x + 14

Therefore, the required function is (v + w)(x) = 7x + 14 representing the total number of stores the company will have in Virginia and West Virginia in x years.

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The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2).  Option B.

To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.

When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.

Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.

Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.

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Answer:

7.4 < h

Step-by-step explanation:

89 < 12h

Divided both sides by 12

7.4 < h

The answer is:

Work/explanation:

The objective of this problem is to isolate the variable. So in the inequality \(\bf{89 < 12h}\), we should isolate h.

So I divide each side by 12

\(\bf{7.417 < h}\)

Answer:

m = undefined

Step-by-step explanation:

m = 9 - 6 / 5 - 5

m = 3 / 0

m = undefined

Answer:

undefined

Step-by-step explanation:

Because x is constantly 5, it is a straight line going up and down. This type of graph has an undefined slope.

Answer:

The perimeter of the track is of 317 meters.

Step-by-step explanation:

Perimeter:

The perimeter of a figure is the sum of all its dimensions.

In this question:

The track is composed by two straights of 80m, and two half circles with a diameter of 50m.

Perimeter of a circle:

The perimeter of a circle with diameter d is of:

\(P = \pi d\)

Track:

Two half circles, each with a diameter of 50m, plus two straight lines of 80m. So

\(P = \frac{2\pi}{2}(50) + 2*80) = 50\pi + 160 = 50*3.14 + 160 = 317\)

The perimeter of the track is of 317 meters.