so sánh 198*202 và 200^2

Answer:

-3; 1

Step-by-step explanation:

y-intercept is when x = 0

y = -4(0.3)^0 + 1

anything to the power of 0 is 1

y = -4(1) + 1

y = -4 + 1

y = -3

The asymptote of an exponential function is the vertical translation which in this case is 1

9514 1404 393

Answer:

  converges

Step-by-step explanation:

The common ratio is 20/25 = 16/20 = 4/5. The magnitude of this is less than 1, so the series converges.

Answer:

a.

[tex] \frac{36}{40} [/tex]

Answer:

Area= 525

Step-by-step explanation:

14x9=126

3x7=21

14x27=378

126+21+378=525

Answer:

17 units

Step-by-step explanation:

Use the distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

Plug in the points and simplify:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]d = \sqrt{(-8 - 7)^2 + (0-8)^2}[/tex]

[tex]d = \sqrt{(-15)^2 + (-8)^2}[/tex]

[tex]d = \sqrt{225 + 64[/tex]

[tex]d = \sqrt{289[/tex]

[tex]d = 17[/tex]

So, the distance between the points is 17 units

Answer:

See pic below.

Answer: C. 380°

Step-by-step explanation:

Answer:

383

Step-by-step explanation:

Let dryer be d.

(d + 92) + d = 858

2d + 92 = 858

      -92 =  -92

---------------------

    2d = 766

    ----    ------

     2        2

       d = 383

The dryer is $383

Hope this helped.

Answer:

$475

Step-by-step explanation:

The dryer costs x.

Since the washer costs $92 less than the dryer, then the dryer costs x - 92.

Combined, they cost $858.

x + x - 92 = 858

2x - 92 = 858

2x = 950

x = 475

Answer: $475

Answer:

quadratic

y=mx+c

Step-by-step explanation:

Answer:

Minimum = 8

Maximum = 28

Median = 22

First Quartile = 12

Third Quartile = 26

Step-by-step explanation:

✔️Minimum value = the value at the beginning of the whisker from your left = 8

✔️Maximum value = the value at the end of the whisker to your right = 28

✔️Median = the value at the vertical line that divides the box into two = 22

✔️First Quartile = the value at the beginning of the edge of the box = 12

✔️Third Quartile = the value at end of the edge of the box = 26

Answers:

The boxplot is shown below.

=========================================

Explanation:

What your teacher wants is the five number summary.

This consists of:

Given in that exact order.

The given data set is  { 8, 19, 11, 20, 2, 14, 17, 9, 15}

This sorts to  {2, 8, 9, 11, 14, 15, 17, 19, 20}

From this sorted set, we see that 2 is the smallest item. So this is the min value. This is data point 1.

The max is the largest item, which in this case is 20, so this value goes in the box for data point 5.

---------------------

Count out the number of values in the sorted set. You should count out n = 9 items.

Because n is odd, this means the median is in slot n/2 = 9/2 = 4.5 = 5

The value in the 5th slot is 14 which is the median (data point 3).

-----------------------

Once you determine the median, break the sorted set up like so

L = {2, 8, 9, 11}

U = {15, 17, 19, 20}

L is the lower set of values smaller than the median

U is the upper set of values larger than the median

The median itself is not part of set L and not part of set U either. It's ignored entirely from this point on.

From here, we find the middle values of L and U

You should find that the middle value of L is (8+9)/2 = 17/2 = 8.5 which is the value of Q1 (data point 2)

And also, the middle value of set U is (17+19)/2 = 36/2 = 18 which is the value of Q3 (data point 4)

-----------------------

To wrap everything up, we have this five number summary

These will determine the features of the boxplot as shown below.

In this case, there are no outliers.

Answer:

es1433

Step-by-step explanation:

Answer:

$5,340

Step-by-step explanation:

Given :

Making a probability distribution :

X : ___12000 ____0 _____-6200

P(X) __ 0.6 _____ 0.1 _____ 0.3

Tge expected value of the purchase si equal to the expected value or average, E(X) :

E(X) = ΣX*p(X)

E(X) = (12000 * 0.6) + (0 * 0.1) + (-6200 * 0.3)

E(X) = 7200 + 0 - 1860

E(X) = $5,340

Answer:

Step-by-step explanation:

1-399

2  C

 3-A 99999

4a  

5b

7 b

8 C

9D

10c

Answer:

Option (D)

Step-by-step explanation:

From the graph attached,

Function 'f' is the reflected across x-axis to get the graph function 'g'.

Therefore, by definition of reflection across x-axis,

g(x) = -f(x)

g(x) = [tex]-3^x[/tex]

Option (D) will be the answer.

Answer:

8 months 11 days 1 year

The differential equation

[tex]y^{(4)}-n^2y'' = g(x)[/tex]

has characteristic equation

r ⁴ - n ² r ² = r ² (r ² - n ²) = r ² (r - n) (r + n) = 0

with roots r = 0 (multiplicity 2), r = -1, and r = 1, so the characteristic solution is

[tex]y_c=C_1+C_2x+C_3e^{-nx}+C_4e^{nx}[/tex]

For the non-homogeneous equation, reduce the order by substituting u(x) = y''(x), so that u''(x) is the 4th derivative of y, and

[tex]u''-n^2u = g(x)[/tex]

Solve for u by using the method of variation of parameters. Note that the characteristic equation now only admits the two exponential solutions found earlier; I denote them by u₁ and u₂. Now we look for a particular solution of the form

[tex]u_p = u_1z_1 + u_2z_2[/tex]

where

[tex]\displaystyle z_1(x) = -\int\frac{u_2(x)g(x)}{W(u_1(x),u_2(x))}\,\mathrm dx[/tex]

[tex]\displaystyle z_2(x) = \int\frac{u_1(x)g(x)}{W(u_1(x),u_2(x))}\,\mathrm dx[/tex]

where W (u₁, u₂) is the Wronskian of u₁ and u₂. We have

[tex]W(u_1(x),u_2(x)) = \begin{vmatrix}e^{-nx}&e^{nx}\\-ne^{-nx}&ne^{nx}\end{vmatrix} = 2n[/tex]

and so

[tex]\displaystyle z_1(x) = -\frac1{2n}\int e^{nx}g(x)\,\mathrm dx[/tex]

[tex]\displaystyle z_2(x) = \frac1{2n}\int e^{-nx}g(x)\,\mathrm dx[/tex]

So we have

[tex]\displaystyle u_p = -\frac1{2n}e^{-nx}\int_0^x e^{n\xi}g(\xi)\,\mathrm d\xi + \frac1{2n}e^{nx}\int_0^xe^{-n\xi}g(\xi)\,\mathrm d\xi[/tex]

and hence

[tex]u(x)=C_1e^{-nx}+C_2e^{nx}+u_p(x)[/tex]

Finally, integrate both sides twice to solve for y :

[tex]\displaystyle y(x)=C_1+C_2x+C_3e^{-nx}+C_4e^{nx}+\int_0^x\int_0^\omega u_p(\xi)\,\mathrm d\xi\,\mathrm d\omega[/tex]

Answer:

9 hours

Step-by-step explanation:

12 people take 15 hours to complete one job. First let's ask how long it would take 18 people working at the same rate to complete the same job? We can use proportions to answer this

[tex]\frac{12 people}{15 hours} = \frac{18 people}{x hours}\\x = \frac{18\times15}{12} = 22.5[/tex]

Now we know that one job takes 18 people 22.5 hours, so 2/5 of the job would take

[tex]\frac{18\times15}{12} \times \frac{2}{5} = 9[/tex]

Answer:

Step-by-step explanation:

1 are = 100 m²

Assuming the ten squares are congruent, the area of each square is 160/10 = 16 are

16 are × 100 m²/are = 1600 m²

each side is √1600 = 40 m

The length of side of plot is 40 meters.

The total space occupied by a flat (2-D) surface or shape of an object is known as area.

Draw a square on a piece of paper with a pencil. It has two dimensions. The term "area" refers to the area that the shape occupies on the paper.

Now picture your square as being comprised of smaller unit squares. The number of unit squares required to cover a 2-D shape's total surface area is used to calculate its area.

Given the area of 10 square plot is 160 are,

here 1 are = 100 m²

area of 10 square plot = 160 x 100 = 16,000 m²

area of 1 square plot = 16000/10 = 1600 m²

area of square is "a²"

where a is side of square

area = a² = 1600 m²

a = √1600

a = 40 m

Hence the length of side of each plot is 40 meters.

Learn more about area;

https://brainly.com/question/11952845

#SPJ2

Answer:

Please write out in english

Step-by-step explanation:

I cannot help unless you can translate.

Answer:

2 hours

Remember that time = distance/rate

The distance you need to cover is 56 miles, while you go 28 miles per hour. Using these, we get this:

time=56/28

time=2

So it will take two hours to go across a 56 mile wide bay at 28 mph.

Step-by-step explanation:

Answer:

3 ways.

Step-by-step explanation:

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

In this question:

2 meats from a set of 3(steak, fish or chicken). So

[tex]C_{3,2} = \frac{3!}{2!1!} = 3[/tex]

3 ways.

Answer:

the x éléments représente the domain

x represents the value on the x-axis and the coordinate is also known as abscissa.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

For an ordered pair left parenthesis x comma y right parenthesis in a relation that is (x, y).

Here x represents the value on the x-axis and the coordinate is also known as abscissa.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

Step-by-step explanation:

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chgkbhlxyovk m.

chchhlzixhvkh

Answer:

a) 0.9544 = 95.44% of scores lie between 220 and 380 points.

b) 0.1587 = 15.87% probability that a randomly chosen student scores is below 260.

c) 25.14% of scores are above 326.8 points.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 300 and a standard deviation of 40.

This means that [tex]\mu = 300, \sigma = 40[/tex]

(a) What proportion of scores lie between 220 and 380 points?

This is the p-value of Z when X = 380 subtracted by the p-value of Z when X = 220.

X = 380

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{380 - 300}{40}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772.

X = 220

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{220 - 300}{40}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% of scores lie between 220 and 380 points.

(b) What is the probability that a randomly chosen student scores is below 260?

This is the p-value of Z when X = 260. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{260 - 300}{40}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

0.1587 = 15.87% probability that a randomly chosen student scores is below 260.

(c) What percent of scores are above 326.8 points?

The proportion is 1 subtracted by the p-value of Z when X = 326.8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{326.8 - 300}{40}[/tex]

[tex]Z = 0.67[/tex]

[tex]Z = 0.67[/tex] has a p-value of 0.7486.

1 - 0.7486 = 0.2514

0.2514*100% = 25.14%

25.14% of scores are above 326.8 points.

Answer:Perimeter of a rectangle is 2*the length plus 2*the width

P = 2L + 2W and P = 130, so

L + W = 65

Three times the length is equal to 10 times the width, giving

3L = 10W

Substituting into the above for L = 65 – W,

3(65 – W) = 10W

195 – 3W = 10W

195 = 13W

W = 195/13 = 15

W = 15 yards,

And L = (10/3)W = (10/3)*15 = 50

L = 50 yards

Step-by-step explanation:

Answer: 0.38

Step-by-step explanation:

Since the variable x is represented by a standard normal distribution, the probability of x > 0.3 will be calculated thus:

P(x > 0.3)

Then, we will use a standard normal table

P(z > 0.3)

= 1 - p(z < 0.3)

= 1 - 0.62

= 0.38

Therefore, p(x > 0.3) = 0.38

The probability of x > 0.3 is 0.38.

Answer:

Here,

x/4

Then the  

k-to-1 rule.

Suppose there is a k-to-1 correspondence from a finite set A to a finite set B. Then |B| = |A|/k.

Answer:

45.71 - 6x = y

Step-by-step explanation:

x is the cost of the packs of markers

y is how much money she has left in her bank account