find the perimeter of the polygon

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Answer:

∠A = 15.6°

Step-by-step explanation:

Use trigonometry to solve for ∠A. Since this involves the opposite and adjacent sides, tangent will be used. Therefore:

24/86 = arc tan x (inverse of tangent)

0.279 = arc tan x

x = 15.59° ≈ 15.6°.

Therefore:

∠A = 15.6°

Answer:

[tex]P(141.8<X<218)=P(\frac{141.8-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{218-\mu}{\sigma})=P(\frac{141.8-173.6}{49.8}<Z<\frac{218-173.6}{49.8})=P(-0.639<z<0.892)[/tex]

And we can find this probability with this difference and using the normal standard table:

[tex]P(-0.639<z<0.892)=P(z<0.892)-P(z<-0.639)=0.814-0.261= 0.553[/tex]

Then the answer would be approximately 55.3% of women between the specifications. And that represent more than the half of women

Step-by-step explanation:

Let X the random variable that represent the weights of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(173.6,49.8)[/tex]  

Where [tex]\mu=173.6[/tex] and [tex]\sigma=49.8[/tex]

We are interested on this probability

[tex]P(141.8<X<2188)[/tex]

And the best way to solve this problem is using the normal standard distribution and the z score given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

If we apply this formula to our probability we got this:

[tex]P(141.8<X<218)=P(\frac{141.8-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{218-\mu}{\sigma})=P(\frac{141.8-173.6}{49.8}<Z<\frac{218-173.6}{49.8})=P(-0.639<z<0.892)[/tex]

And we can find this probability with this difference and using the normal standard table:

[tex]P(-0.639<z<0.892)=P(z<0.892)-P(z<-0.639)=0.814-0.261= 0.553[/tex]

Then the answer would be approximately 55.3% of women between the specifications. And that represent more than the half of women

Answer:

in this experiment we only have two  sample space which is only true or false.

because all the answers will have to fall between this sample space.

Step-by-step explanation:

we cannot actually or fully understand the above answer without first of all defining or explaining what sample space actually means.

Sample space: this is the set of all possible outcome that may come from an experiment.or we can say simply say it is the range of values that the experiment depends on.

Answer:

Step-by-step explanation:

Please, share the instructions that come with each problem.  Thanks.

2a -a + 1 = can be simplified to a + 1.

x + y + x + 2 = cannot be simplified.

2(x + 4) + 2x =

3x + 2(x - 2) =​ can be expanded and then simplified:  

   3x + 2x - 4 = 5x - 4

Answer:

[tex]x = - \frac{9}{2} [/tex]

Step-by-step explanation:

3 - 2x = 11

Group the constants at the right side of the equation

That's

- 2x = 11 - 3

- 2x = 9

Divide both sides by - 2

[tex]x = - \frac{9}{2} [/tex]

[tex]x = - 4 \frac{1}{2} [/tex]

Hope this helps you

Answer:

Null Hypothesis, [tex]H_0[/tex] : p [tex]\geq[/tex] 51%

Alternate Hypothesis, [tex]H_A[/tex] : p < 51%

Step-by-step explanation:

We are given that less than 51% of workers got their job through networking. We have to express the null and alternative hypotheses in symbolic form for this claim.

Let p = population proportion of workers who got their job through networking

So, Null Hypothesis, [tex]H_0[/tex] : p [tex]\geq[/tex] 51%

Alternate Hypothesis, [tex]H_A[/tex] : p < 51%

Here, the null hypothesis states that greater than or equal to 51% of workers got their job through networking.

On the other hand, the alternate hypothesis states that less than 51% of workers got their job through networking.

Hence, this is the appropriate hypothesis that can be used.

Answer:

-6511.8

Step-by-step explanation:

Answer:

The equation that shows the profit: P = 2x + 3y

Step-by-step explanation:

The number of sneaker = x

The number of sandals = y

Cost of sneaker = 8 dollars.

Cost of sandals = 14 dollars.

Selling price of sneaker = $10

Selling price of sandals = $17

Total revenue = $10x + $17y

Total cost  = $8x + $14y

Profit (P)  =  Total revenue  - Total cost.

Profit = ($10x + $17y) – ($8x + $14y)

P = 10x +17y – 8x – 14y

P = 2x + 3y

Answer:

  6 ft

Step-by-step explanation:

The building height of 100 ft is 4 times the shadow length of 25 ft. At the same ratio, the person's height is 4 times the 1.5 ft shadow length, so is ...

  4 × (1.5 ft) = 6.0 ft

The person is 6 ft tall.

Answer: rate = 4%

Step-by-step explanation:

SI = 4800 - 4480 = 320 for two years

For 1 year, it is 320/2 = 160

For 5 years, it is 160 * 5 = 800

Principal = Amount -SI

P = 4800 - 800 = 4000

SI = prt / 100

800 = (4000 * r * 5) / 1000

r = 800 * 100 / 4000 * 5

r = 4%

Answer:

Rate of intrest = 4%

Step-by-step explanation:

Short forms

Simple intrest=SI                     Year= Y              Rate= r

SI= 4800-4480

   = 320

1 year= 320/2 = 160

5year= 160 x 5

        = 800

P= Amount-SI

P= 4800-800

= 4000

SI=PRT/100

800=(4000  X r X 5)/1000

r=800 x 100/4000 x 5

r= 4%

Hope it was Helpful!

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B. A coin is balanced as long as the probability of each outcome is closer to 0.5 than it is to 1 or 0.  

Neither of the others seem like a suitable answer

Answer:

B

Step-by-step explanation:

Answer:

160°

Step-by-step explanation:

1/2 (Major arc AB - Minor arc AB) = 20°

Major arc AB = 200°

Minor arc AB = 160°

central angle = minor arc AB = 160°

The value of variable x is,

⇒ x = 150°

An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.

Given that;

Line segment ac and segment bc are tangent to circle O.

Now, We get;

∠A + ∠B + ∠C + ∠O = 360°

90° + 90° + 30° + x = 360°

x = 360° - 210°

x = 150°

Hence, The value of variable x is,

⇒ x = 150°

Learn more about the angle visit:;

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Answer:

diana

Step-by-step explanation:

Answer:

I think it’s Diana I’m sorry if I’m wrong :P

Answer:

n = 8

Step-by-step explanation:

The given sequence, 2, 6, 18, 54. . ., is a geometric sequence.

It has a common ratio of 3 => [tex] \frac{6}{2} = \frac{18}{6} = \frac{54}{18} = 3 [/tex]

Thus, the sum of the first n terms of a geometric sequence is given as [tex]S_n = \frac{a_1(1 - r^n)}{1 - r}[/tex]

Where,

[tex] a_1 [/tex] = first term of the series = 2

r = common ratio = 3

[tex] S_n [/tex] = sum of the first n terms = 6,560

Plug in the above values into the formula

[tex]6,560 = \frac{2(1 - 3^n)}{1 - 3}[/tex]

[tex] 6,560 = \frac{2(1 - 3^n)}{-2} [/tex]

[tex] 6,560 = \frac{1 - 3^n}{-1} [/tex]

Multiply both sides by -1

[tex] -6,560 = 1 - 3^n [/tex]

Subtract 1 from both sides

[tex] -6,560 - 1 = - 3^n [/tex]

[tex] -6,561 = - 3^n [/tex]

[tex] 6,561 = 3^n [/tex]

Evaluate

[tex] 3^8 = 3^n [/tex]

3 cancels 3

[tex] 8 = n [/tex]

The value of n = 8

Answer:

[tex]\frac{d}{dy}(-3x^{2} -12) = -6x[/tex]

0 = -6x

0 = x

[tex]-3(0)^{2} -12 = -12[/tex]

(0,-12)

Step-by-step explanation:

Answer:

between 108-110?

Step-by-step explanation:

60% or 200 = 120 people

90% of 120 = 108

question doesnt look complete so this is the best I could come up with...‍♀️

Answer:

f(x)=2x-2 with =( -1, 4)

f(x)=2(x^2) -2 with (-1,0)

f(x)=2√(x-2)  with (2,0)

Step-by-step explanation:

f(x)=2x-2

(2,0)

0=2(2)-2=2    0=2

(-1,-4)

4=2(-1)-2=-4   -4 = -4  f(x)=2(x^2) -2

(2,0)

0=2(2^2)-2=6  0=6

(-1,0)

0=2(-1^2)-2=0  0=0  f(x)=2√(x-2)  (2,0)

0=2√(2-2)=0   0=0

The function f ´( x ), which would be read `` f -prime of x '', means the derivative of f ( x ) with respect to x .

A function called f is defined by the notation y=f(x). This should be understood as "y is a function of x." The input value, or independent variable, is represented by the letter x. The output value, also known as the dependent variable, is denoted by the letter y, or f(x).

f(x)=2x-2\s(2,0)

0=2(2)

-2=2 0=2

(-1,-4)

4=2(-1)-2=-4 -4 = -4 f(x)=2(x^2) -2\s(2,0) (2,0)

0=2(2^2)

-2=6 0=6\s(-1,0)

0=2(-1^2)

-2=0 0=0 f(x)=2 √(x-2) (2,0) (2,0)

0=2√(2-2)=0 0=0

The phrase "f (x)" denotes a formula with x serving as its input variable. Not "multiply f and x," though! Never try to "multiply" the function name with its parenthesized input and avoid embarrassing yourself by pronouncing (or thinking of) "f (x)" as being "f times x".

Answer:

Cannot be factored

Step-by-step explanation:

Step-by-step explanation:

O D. F(X) = 3W-3 the answer is D

The function that represents the situation is F(x) = -x² - 3.

The correct option is A.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph. It's a common type of problem in algebra, specifically the modification of algebraic equations.

here, we have,

Let the functions f(x) and g(x) be two real functions.

And g (x) = f (x) + k, where k is real numbers.

The function can be sketched by shifting f (x), k units vertically.

The value of k can find the direction of shift:

if k > 0, the base graph shifts k units up, and

if k < 0, the base graph shifts k units down.

Given that ,

the parent function is g(x) = x².

To find the transformed function F(x):

The function's diagram is in the opposite direction.

That means the function is -x².

And the function is shifted 3 units down vertically.

From the definition the required function is,

F(x) = -x² - 3.

Therefore, F(x) = -x² - 3.

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complete question:

The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?

A.

F(x) = –x2 – 3

B.

F(x) = x2 – 3

C.

F(x) = –(x + 3)2

D.

F(x) = –(x – 3)2

Answer:

f(x) = - 9x² + 9

g(x) = 8x² + 9x

To find (f+g)(x) add g(x) to f(x)

That's

(f+g)(x) = -9x² + 9 + 8x² + 9x

Group like terms

(f+g)(x) = - 9x² + 8x² + 9x + 9

To find (f + g)(- 1) substitute - 1 into (f+g)(x)

That's

(f + g)(- 1) = -(-1)² + 9(-1) + 9

= - 1 - 9 + 9

Hope this helps you

Answer:

1. Critical value t=±2.447

2. The null hypothesis is failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the birth weight significantly differs from 6.6 lbs.

Step-by-step explanation:

This is a hypothesis test for the population mean.

The claim is that the birth weight significantly differs from 6.6 lbs.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu=6.6\\\\H_a:\mu\neq 6.6[/tex]

The significance level is 0.05.

The sample has a size n=7.

The sample mean is M=7.56.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=1.18.

The estimated standard error of the mean is computed using the formula:

[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{1.18}{\sqrt{7}}=0.446[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{7.56-6.6}{0.446}=\dfrac{0.96}{0.446}=2.152[/tex]

The degrees of freedom for this sample size are:

[tex]df=n-1=7-1=6[/tex]

For a two-tailed test with 5% level of significance and 6 degrees of freedom, the critical value for t is ±2.447.

As the test statistic t=2.152 is under 2.447 and over -2.447, it falls in the acceptance region, so the effect is not significant. The null hypothesis is failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the birth weight significantly differs from 6.6 lbs.

Sample mean and standard deviation calculations:

[tex]M=\dfrac{1}{n}\sum_{i=1}^n\,x_i\\\\\\M=\dfrac{1}{7}(9+7.3+6+. . .+6.6)\\\\\\M=\dfrac{52.9}{7}\\\\\\M=7.56\\\\\\s=\sqrt{\dfrac{1}{n-1}\sum_{i=1}^n\,(x_i-M)^2}\\\\\\s=\sqrt{\dfrac{1}{6}((9-7.56)^2+(7.3-7.56)^2+(6-7.56)^2+. . . +(6.6-7.56)^2)}\\\\\\s=\sqrt{\dfrac{8.32}{6}}\\\\\\s=\sqrt{1.39}=1.18\\\\\\[/tex]

Answer:

Length = 47 in

Radius = 47/π in

Step-by-step explanation:

Let 'h' be the length of the package, and 'r' be the radius of the cross section.

The length and girth combined are:

[tex]L+G=141=h+2\pi r\\h=141-2\pi r[/tex]

The volume of the cylindrical package is:

[tex]V=A_b*h\\V=\pi r^2*h[/tex]

Rewriting the volume as a function of 'r':

[tex]V=\pi r^2*h\\V=\pi r^2*(141-2\pi r)\\V=141\pi r^2-2\pi^2 r^3[/tex]

The value of 'r' for which the derivate of the volume function is zero yields the maximum volume:

[tex]V=141\pi r^2-2\pi^2 r^3\\\frac{dV}{dr}=282\pi r-6\pi^2r^2=0\\ 6\pi r=282\\r=\frac{47}{\pi} \ in[/tex]

The length is:

[tex]h=141-2\pi r=141-2\pi*\frac{47}{\pi}\\h=47\ in[/tex]

The dimensions that yield the maximum volume are:

Length = 47 in

Radius = 47/π in

Answer:

d. number of items-discrete; total time-continuous

Step-by-step explanation:

Continuous:

Real numbers, can be integer, decimal, etc.

Discrete:

Only integer(countable values). So can be 0,1,2...

In this question:

You can purchase 0, 1, 2,...,10,...,100,... items, so the number of items is discrete.

You can spend for example, 0.5 hours in the store, or 2.5 minutes, that is, can be decimal numbers. So the total time is continuous

The correct answer is:

d. number of items-discrete; total time-continuous

Answer:

a. interaction

Step-by-step explanation:

In statistics, interaction occurs when the effect of one variable depends on the value of another variable.

In this case, Trish's analysis shows that the effect of alcohol consumption in a persons reaction time also depends on that person's quality of sleep, highlighting a clear case of interaction.

Answer: B

Step-by-step explanation:

(f-g)(x) is f(x)-g(x). Since we have f(x) and g(x), we can directly subtract them.

5x-2-(2x+1)            [distribute -1]

5x-2-2x-1                [combine like terms]

3x-3

Answer:

Measure of angle 2 = 82°

Step-by-step explanation:

m∠1 = (10 x + 8)°

m∠3 = (12 x - 10)°

2 lines are said to intersect to form 4 angles. And the labelling of the angles was done starting from top left, clockwise: the angles are 1, 2, 3, 4.

Find attached the diagram obtained from the given information.

Vertical angles are angles opposite each other when two lines intersect. As such, they are equal to each other.

Considering our diagram

m∠1 = m∠3

m∠2 = m∠4

Sum of all four angles firmed = 360° (sum of angles at a point)

m∠1 +m∠2 + m∠3 + m∠4 = 360°

m∠1 = m∠3

(10 x + 8)°= (12 x - 10)°

10x-12x = -10-8

-2x = -18

x= 9°

Also m∠2 = m∠4, let each equal to y

(10 x + 8)°+ y + (12 x - 10)° + y = 360

10x + 12x - 10 +8 +2y = 360

Insert value of x

22(9) -2 + 2y = 360

2y = 360-196

2y = 164

y = 82°

m∠2 = m∠4 = y = 82°

Measure of angle 2 = 82°

Answer:

2 = 82°

Step-by-step explanation:

Answer:

-5, -3, -1 , 1 , 3

Step-by-step explanation:

Answer:

1,1/2,1/3,1/4

Step-by-step explanation:

an = 1/n

n is the term number

a1 = 1/1 =1

a2 = 1/2

a3= 1/3

a4 = 1/4

The first 4 terms are 1,1/2,1/3,1/4