What's the perimeter of the trapezoid?

Answer:

statement number 3

Step-by-step explanation:

modes are both 1

Answer:

the answer is a, d, e

Step-by-step explanation:

the product of 18 and a number is 109.8=

18n=109.8

to find n, you need to divided by 109.8 by 18. You will get 6.1

To check, replace c with 6.1.

18x6.1=109.8

Answer:

ade

Step-by-step explanation:

Answer:

Step-by-step explanation:

In the first part, we are given the function:

[tex]\int \dfrac{x^6}{\sqrt{1+x}^2} \ dx[/tex]

Suppose we make x = tan θ

Then dx = sec² θ.dθ

[tex]= \int \dfrac{tan^6 (\theta)}{\sqrt{1+ tan ^2 \theta }}* dx[/tex]

[tex]= \int \dfrac{tan^6 (\theta)}{\sqrt{1+ tan ^2 \theta }}* sec ^2 (\theta) * d\theta[/tex]

Since; sec² θ - tan² θ = 1

sec² θ = 1+ tan² θ

[tex]sec \ \theta = \sqrt{1 + tan^2 \ \theta}[/tex]

∴

[tex]= \int \dfrac{tan^6 (\theta)}{sec \ \theta}* sec ^2 (\theta) * d\theta[/tex]

[tex]= \int tan^6 (\theta)* sec (\theta) * d\theta[/tex]

Thus; In the first part, Use x = tan θ, where  [tex]- \dfrac{\pi}{2} < \theta <\dfrac{\pi}{2}[/tex], since the integrand comprise the expression [tex]\sqrt{1+x^2}[/tex]

From the second part by using substitution method;

[tex]\int \dfrac{x^6}{\sqrt{1+x^2}} \ dx = \int \mathbf{tan^6(\theta) * sec ( \theta) } \ d \theta[/tex]

Answer:

Yes they will profit $22,000

Step-by-step explanation:

First find total money:

100 customers * $600 premium

= $60,000

add deductibles ($1000) because they are paying for the accident:

=$62,000

Then find the subtractions:

"One of the accidents causes damage to property and the other causes injury or death to one person."

based on the 30/40/10 coverage:

-$30,000 for injury or death to One person

-$10,000 for property damage

62,000 - 40,000 = 22,000

Overall profit : $22,000

I think I did that right...

The company will earn the profit of $22,000.

Profit= $22,000.

The amount you pay for covered health care services before your insurance plan starts to pay.

It is given that:

Most popular premium= $600

According to question there is estimation of 100 person

Total money = 100 customers * $600 premium

                    = $60,000

The deductible amount is $1000 because they are paying for the accident.

So, the deductible amount is= $2000

Total deductible amount =$62,000

As one of the accidents causes damage to property and the other causes injury or death to one person.

So, based on 30/40/10 coverage there will be:

So, the profit will be: 62,000 - 40,000

                                 = $22,000

Overall profit : $22,000

Learn more about insurance deductible here:

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Answer:

el primero es 2

el segundo es 4

el trersero es 1

y la última es 2

si multiplicas 2 x 1 y los otros el resultado sería

9

Answer:

-5.625 in/hour

Step-by-step explanation:

−2 1/4 * 2 1/2 = -5.625 in/hour

9514 1404 393

Answer:

Step-by-step explanation:

The orientation of the triangle is reversed, so a reflection is required. Horizontal lines remain horizontal, but up/down are reversed, so the reflection is across a horizontal line. The horizontal line that is halfway between each point and its image is the line y = 2.5.

The x-coordinates of the image points are 1 less than the x-coordinates of the original, so a left shift of 1 unit is involved.

The two transformations to get from A to B could be (in any order) ...

__

The transformation can be summarized by ...

  (x, y) ⇒ (x -1, 5 -y)

Answer: The answer is 15 gallons. Hope this helped!

Step-by-step explanation:

Answer:

The average spent at his store is of $37.60.

The average spent at his competitor's store is of $48.53.

Step-by-step explanation:

Average of a data set:

The mean of a data set is the sum of all values divided by the number of values.

His store:

15 orders.

Prices of: 41, 38, 19, 30, 21, 53, 34, 34, 37, 29, 50, 43, 57, 28, 50

The average is:

[tex]M = \frac{41 + 38 + 19 + 30 + 21 + 53 + 34 + 34 + 37 + 29 + 50 + 43 + 57 + 28 + 50}{15} = 37.6[/tex]

The average spent at his store is of $37.60.

Store of the competitor:

15 orders

Prices of: 86, 15, 75, 40, 51, 60, 27, 45, 112, 7, 65, 31, 18, 27, 69

The average is:

[tex]M = \frac{86 + 15 + 75 + 40 + 51 + 60 + 27 + 45 + 112 + 7 + 65 + 31 + 18 + 27 + 69}{15} = 48.53[/tex]

The average spent at his competitor's store is of $48.53.

Answer:

a) Manager's store: mean = $37.60

Competitor's store: mean = $48.53

b) Manager's store has a mean that is a better representation of the data because the competitor's data has an outlier of $112.

Step-by-step explanation:

used this for my test and it was correct.

H(6) =.

The number in parentheses is the x value it will be equal to the y value.

When x = 6 the blue line is at y = 8

H(6) = 8

Answer:

5C

6C

7D

8B

Step-by-step explanation:

5) C because median is the middle of the set of numbers source A median is 4 source B median is 6 and 4 is 2 less than 6.

6) C  because there are  6 numbers altogether and 1 6s on a dice so 6+6 because we have two dice and 2 6s on both so 2/12 or simplified 1/6

7) D because mean is all the numbers add up divided by the amount of numbers so 20+25+30+20+30 = 125 and 125 ÷ 5 = 25

8 B because mean is all the numbers add up divided by the amount of numbers so

5+6+7+8+8+8+8+8+8+9+9 = 76 ÷ by 10 is 7.6

7+7+7+7+8+8+8+8+10+10 = 80 ÷ by 10 = 8

8 + 7.6 = 15.6 ÷ 2 = 7.8 and B is closest to 7.8

Answer:

The answer is 14.86. I hope that this helps

The total of numbers smaller than 10,000 that have a sum of their digits equal to 34 is 8.

Firstly, it is important to understand a number of at least 4 digits is required to have 34 by adding its digits. Now, from this principle find the possible numbers:

The total numbers is 8.

Learn more about numbers in: https://brainly.com/question/17429689

Answer:

Step-by-step explanation:

Answer:

A) 65

B) 5

C) 242

D) 531

E) 36

Step-by-step explanation:

A) Let the unknown term be x.

Difference between 5 & 9 = 4

Difference between 9 & 17 = 8 = 4×2

Difference between 17 & 33 = 16 = 8×2

It is observed that the difference between two terms is getting doubled. So,

Difference between 33 & x = 16×2 = 32

∴ x = 33 + 32 = 65

B) Let the unknown term be x.

Difference between 20 & 12 = 8

Difference between 12 & 8 = 8/2 = 4

Difference between 8 & 6 = 4/2 = 2

It is observed that the difference between two terms is getting halved.

Difference between 6 & x = 2/2 = 1

∴ x = 6 - 1 = 5

C) Let the unknown term be x.

Difference between 2 & 8 = 6

Difference between 8 & 26 = 18 = 6×3

Difference between 26 & 80 = 54 = 18×3

It is observed that the difference between two terms is getting tripled.

Difference between 80 & x = 54×3 = 162

∴ x = 80 + 162 = 242

D) Let the unknown term be x.

Difference between 36 & 69 = 33

Difference between 69 & 135 = 66 = 33×2

Difference between 135 & 267 = 132 = 66×2

It is observed that the difference between two terms is getting doubled.

Difference between 267 & x = 132×2 = 264

∴ x = 267 + 264 = 531

E) Let the unknown term be x.

4 = 2²

9 = 3²

16 = 4²

25 = 5²

It is observed that all the terms in the sequence are squares of consecutive natural numbers.

So, x = 6² = 36

Answer:

False

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Answer:

is 40/41 because is de answerv

Answer:

5 years.

Step-by-step explanation:

3000x.06=180 interest per year.

900/180 =5 years.

Step-by-step explanation:

this is your answer....

The other zero of the given function is [tex](\frac{11}{3}, 0)[/tex] .

Let us assume f(x) [tex]=ax^{2} +bx+c[/tex], then to find the x-intercepts of this quadratic equation, let y = 0, i.e. [tex]ax^{2} +bx+c=0[/tex]

Given, f(x)= [tex]3x^{2} -5x-22[/tex], whose one zero is (-2,0)

Now, to find the x-intercepts of the given quadratic equation, we have to take y = 0.

∴ [tex]3x^{2} -5x-22=0[/tex]

Now we have to solve this equation to find it's another zero.

[tex]3x^{2} -5x-22=0[/tex]

⇒ [tex]3x^{2} -(11-6)x-22=0[/tex]

⇒ [tex]3x^{2} -11x+6x-22=0[/tex]

⇒ [tex]x(3x-11)+2(3x-11)=0[/tex]

⇒ [tex](3x-11)(x+2)=0[/tex]

We know that, if multiplication of two terms is zero, then each of this term is seperately zero.

∴ [tex]3x-11=0[/tex]   or [tex]x+2=0[/tex]

⇒ [tex]3x=11[/tex]    or [tex]x=-2[/tex]

⇒ [tex]x=\frac{11}{3}[/tex]  or [tex]x=-2[/tex]

So, another zero of the function is [tex](\frac{11}{3}, 0)[/tex].

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Answer:

Kindly check explanation

Step-by-step explanation:

Given The samples:

X = 10.2, 9.7, 10.1, 10.3, 10.1, 10.3, 10.1, 9.8, 9.9, 10.4, 10.3, 10.5,11.2,11.3, 9.8

Using a calculator ;

Sample mean, xbar = 10.27

Sample standard deviation, s = 0.462

H0 : μ = 15

H1 : μ < 15

The test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(10.27 - 15) / (0.462/sqrt(15))

-4.73 / 0.1192878

= - 39.65

Using the Pvalue form Tscore, calculator, df = 14

Pvalue = 0.000001,

Since, Pvalue < α ; then we reject the Null

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/√n

TCritical at 95%, df = 14

Margin of Error = 2.145 * 0.462/sqrt(15) = 0.2559

Lower boundary :

10.27 - 0.2559 = 10.0141

Upper boundary :

10.27 + 0.2559 = 10.5259

(10.0141 ; 10.5259)

The true population means should reside within the interval

Answer:

2 5/8 - 6 1/4 + 8 1/2\

= 227 /8

Step-by-step explanation:

hope this helps :)

Answer:15 heads out of 30 is the most likely outcome when flipping 30 coins, if you run the same calculation with 14 or 16 heads you will get two equal, but smaller probabilities, same with 13 and 17 heads, and so on.

Step-by-step explanation:

Answer:

We can't see it all that well sorry.

Step-by-step explanation:

9514 1404 393

Answer:

  (x, y) = (12, -1)

Step-by-step explanation:

I find the simplest solution is often found using a graphing calculator.

  (x, y) = (12, -1)

__

We notice that the coefficients of x are identical, so we can eliminate x by subtracting the first equation from the second.

  (x +3y) -(x -2y) = (9) -(14)

  5y = -5 . . . . simplify

  y = -1 . . . . . divide by 5

  x = 14 +2y = 14 +2(-1) . . . . using the first equation to find x

  x = 12

Answer:

412.10 USD

Step-by-step explanation:

Answer:

nAnI

Step-by-step explanation: