Un lago de forma circular tiene una longitud de 157 metros. ¿Cual es la distancia del centro del lago a la orilla?

Answer:

[tex] \frac{337}{4} [/tex]

Step-by-step explanation:

[tex]84 \frac{1}{4} = \frac{84 \times 4 + 1}{4} = \frac{336 + 1}{4} = \frac{337}{4} [/tex]

Answer:

[tex]z=\frac{(3.2-3.4)-0}{\sqrt{\frac{0.141^2}{60}+\frac{0.224^2}{60}}}}=-5.85[/tex]  

The p value can be calculated with this probability:

[tex]p_v =2*P(z<-5.85)=4.91x10^{-9}[/tex]  

The p value for this case is a value very low and near to 0 so then we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different

Step-by-step explanation:

Information provided

[tex]\bar X_{1}=3.2[/tex] represent the mean for sample A

[tex]\bar X_{2}=3.4[/tex] represent the mean for sample B  

[tex]\sigma_{1}=\sqrt{0.02}= 0.141[/tex] represent the sample standard deviation for A

[tex]s_{2}=\sqrt{0.05}= 0.224[/tex] represent the sample standard deviation for B

[tex]n_{1}=60[/tex] sample size for the group A

[tex]n_{2}=60[/tex] sample size for the group B  

[tex]\alpha=0.05[/tex] Significance level provided

z would represent the statistic

Hypothesis to test

We want to verify if that there is a difference in the interest rates paid by the two states, the system of hypothesis would be:  

Null hypothesis:[tex]\mu_{1}-\mu_{2}=0[/tex]  

Alternative hypothesis:[tex]\mu_{1} - \mu_{2}\neq 0[/tex]  

The statistic for this case since we know the population deviations is given by:

[tex]z=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{(3.2-3.4)-0}{\sqrt{\frac{0.141^2}{60}+\frac{0.224^2}{60}}}}=-5.85[/tex]  

The p value can be calculated with this probability:

[tex]p_v =2*P(z<-5.85)=4.91x10^{-9}[/tex]  

The p value for this case is a value very low and near to 0 so then we have enough evidence to reject the null hypothesis and we can conclude that the true means for this case are significantly different

Answer:

i will explain :)

Step-by-step explanation:

there are three people. a grandfather, a father, and a son. the grandfather is the father of the father, and the father is the father of the son (if that makes any sense). the father is the son of the grandfather, and son is the son of the father. so technically while there are 2 sons and 2 fathers, there are still three people. :)

three people. a grandfather, a father, and a son.

Formula for circumference that involves the radius ⇒ C = 2πr

Since we are given that the circumference is 86 cm, substitute it in.

86 = 2πr

Now, π is equal to approximately 3.14 so we can

plug 3.14 in for π and we have 86 cm = 2(3.14)r.

Now solve the equation.

2(3.14) is 6.28 and we have 86 cm = 6.28r.

Now divide both sides by 6.28 and we have 13.6942 = r.

So the radius of the hula hoop is 13.6942 cm.

Answer:

43

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

I think the answer is A. 1/72 Hopefully this helps! and hopefully this is correct!

Answer:

[tex]g(\frac{1}{2}) = 0.5[/tex]

The input is [tex]x = \frac{1}{2}[/tex] and the output is [tex]g(x) = g(\frac{1}{2}) = 0.5[/tex]

Step-by-step explanation:

Suppose we have a function g(x) = a. The input is the value of x and the output is the value of g.

In this question:

[tex]g(x) = 2x^{2}[/tex]

We want g(1/2) = g(0.5). So

[tex]g(0.5) = 2*(0.5)^{2} = 2*0.25 = 0.5[/tex]

[tex]g(\frac{1}{2}) = 0.5[/tex]

The input is [tex]x = \frac{1}{2}[/tex] and the output is [tex]g(x) = g(\frac{1}{2}) = 0.5[/tex]

Answer:

3,400

Step-by-step explanation

Move the decimal place 3 times to the right (the number of zero's is how many places you go)

Answer:

3400

Step-by-step explanation:

3.4x 1,00=3400

Answer:

B

Step-by-step explanation:

In the attached file

Answer:

Option (C)

Step-by-step explanation:

Solve by Graphing:

Use a graphing tool to graph the lines 3x-y=9 and 4x+y=5.

When graphed, the lines intercept at (2,-3).

Therefore, Tina can conclude that (2,-3) is a solution to the system of linear equations.

The required (2.-3) is a solution to the system of linear equations. Option C is correct.

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
3x-y=9 - - - -(1)
4x+y=5 - - - - (2)

Adding equations 1 and 2
7x = 14
x = 2

Now,
3(2) - y = 9
-y = 9 - 6
-y = 3
y = -3

Thus, the required solution of the given simultaneous equations are x = 2 and y = -3.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ2

C = π d

C = (22/7) × (35/2) = (22/2)(35/7) = 11(5) =55

Answer: 55, second choice

Step-by-step explanation:

It is the solution. Mark as brainlist.

Answer:

36 ÷ 3 = j

Step-by-step explanation:

The quotient of 36 and 3 is '36 ÷ 3'.

'Is j' would be '= j'.

Put it together, and you get:

36 ÷ 3 = j

'j = 12'

[tex]\frac{36}{3} = j\\\\\text {Divide the two numbers: }36/3 = 12\\\boxed {12=j}[/tex]

Brainiest Appreciated

Answer:

2

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

Coin # 1 - 2 outcomes

Coin # 2 - 2 outcomes

Number cube - 6 outcomes

Total outcomes: 2 x 2 x 6 = 24

However, if “heads and tails” is considered the same as “tails and heads” (order doesn’t matter):

Coins outcomes: 3

Cube outcomes: still 6

Total outcomes: 18

Answer:

x = 2

Step-by-step explanation:

4 - (2x-3) = 3

Distribute the minus sign

4 -2x+3 = 3

Combine like terms

7 -2x = 3

Subtract 7 from each side

7 -2x-7 = 3-7

-2x = -4

Divide by -2

-2x/-2 = -4/-2

x = 2

I think these are the answers:

a) 12 outcomes

b) 1/12

c) 1/6

Answer:

The number is -2

Step-by-step explanation:

12 less than 7 times a number can be express as follows,

let the number = a

7a - 12

According to the question the number 7a - 12 is equals to 32 less than the product of - 3 and the number.

32 less than the product of -3 and the number can be express below.

-3a - 32. Therefore,

7a - 12 = -3a - 32

collect like terms

7a + 3a = - 32 + 12

10a = -20

divide both sides by 10

a = -20/10

a = -2

The number is -2

Answer:

Y-3 = 2(x+1)

open the brackets

Y-3 = 2x+2

Y = 2x+5..... this is the answer when solving for Y

if were solving for x:

Y-3 = 2x+5

Y-8 = 2x

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

Answer:

476ft^3

Step-by-step explanation:

Base area =length × width

= 7 × 4 = 28ft^2

Volume = base area × height

= 28 × 17 = 476ft^3

Answer:

48

Step-by-step explanation:

This is a linear equation, it goes as follows:

[tex]105(x) - 95(x) = 480[/tex]

x stands for hours.

Solving for x yields 10.

Keep in mind that 105 and 95 are miles per hour where 480 is miles. So multiplying [tex](\frac{miles}{hours}) (hours)[/tex] gives off hours which is what we are looking for.

Hope this helps.

Answer:

the answer is b

Step-by-step explanation:

since rise over run

Answer:

You should be able to complete the solution from the guidance below.

Step-by-step explanation:

The slope is y2-y1 / x2-x1

The points from the graph are (0,3) and (-1.5,0)

Answer:

factoring

Step-by-step explanation:

Answer:

Quadratic formula is the best

Answer :S/5 = 28

Step-by-step explanation:

Answer:

a. The length of each side of the garden is 10 m.

b. The perimeter of the garden is 40 m.

Step-by-step explanation:

A square is a regular polygon with four sides. The area of a square is given by the formula

                                           [tex]Area = width \cdot height[/tex]

But since the width and height are by definition the same, the formula is usually written as

                                                    [tex]Area = s^2[/tex]  

where s is the length of one side.

a. To find the length of each side of the garden we know that the area is 100 [tex]m^2[/tex] applying the area formula and solving for s, the length of one side, we get that

[tex]100=s^2\\\\s^2=100\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\s=\sqrt{100},\:s=-\sqrt{100}[/tex]

The length can't be negative. Therefore, [tex]s=\sqrt{100}=10[/tex]

b.  In the case of a square, all four sides are the same length, so the perimeter is four times the length of a side. Or as a formula:

                                           [tex]Perimeter = 4s[/tex]  

where s is the length of any one side.

We find that the length of each side is 10 m. Therefore, the perimeter is

[tex]Perimeter = 4s\\\\Perimeter =4 \cdot 10 = 40 \:m[/tex]

Answer:

(A) The value of t test statistics is 2.767 and P-value is 0.0042.

(B) We conclude that the mean of first group is greater than the mean of second group.

Step-by-step explanation:

We are given the following hypothesis below;

Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_1=\mu_2[/tex]      {means that the mean of first group is equal to the mean of second group}

Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu_1>\mu_2[/tex]      {means that the mean of first group is greater than the mean of second group}

The test statistics that would be used here Two-sample t-test statistics as we don't know about population standard deviation;

                            T.S. =  [tex]\frac{(\bar X_1-\bar X_2)-(\mu_1-\mu_2)}{s_p\sqrt{\frac{1}{n_1} +\frac{1}{n_2} } }[/tex]  ~ [tex]t__n__1-_n__2-2[/tex]

where, [tex]\bar X_1[/tex] = sample mean of first group = 56

[tex]\bar X_2[/tex] = sample mean of second group = 51

[tex]s_1[/tex] = sample standard deviation of first group = 8.2

[tex]s_2[/tex] = sample standard deviation of second group = 6.9

[tex]n_1[/tex] = sample of first group = 30

[tex]n_2[/tex] = sample of second group = 40

Also, [tex]s_p=\sqrt{\frac{(n_1-1)s_1^{2} +(n_2-1)s_2^{2} }{n_1+n_2-2} }[/tex] = [tex]\sqrt{\frac{(30-1)\times 8.2^{2} +(40-1)\times 6.9^{2} }{30+40-2} }[/tex]  = 7.482

So, the test statistics  =  [tex]\frac{(56-51)-(0)}{7.482 \times \sqrt{\frac{1}{30} +\frac{1}{40} } }[/tex]  ~ [tex]t_6_8[/tex]

                                     =  2.767

(A) The value of t test statistics is 2.767.

Also, P-value of the test statistics is given by;

              P-value = P( [tex]t_6_8[/tex] > 2.767) = 0.0042

(B) Now, at 10% significance level the t table gives critical value of 1.295 at 68 degree of freedom for right-tailed test.

Since our test statistic is more than the critical values of t as 2.767 > 1.295, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the mean of first group is greater than the mean of second group.

Answer:

b

Step-by-step explanation:

Answer:

4. A unique solution exists in the region consisting of all points in the xy-plane except the origin.

Step-by-step explanation:

Given:

[tex] (x^2 + y^2)y' = y^2[/tex]

Solving the differential equation, we have:

[tex] \frac{dy}{dx} = \frac{y^2}{x^2 + y^2}[/tex]

Thus, except at (0,0), for all real values of x and y, the function[tex] \frac{y^2}{x^2 + y^2}[/tex] is defined.

The (0,0) values of x&y causes the denominator to be 0, so the function is not defined at this (0,0) condition.

Therefore,

[tex] \frac{d}{dy} \frac{y^2}{x^2 + y^2} = \frac{x^2 + y^2 (2y) - y^2 (2y)}{(x^2 + y^2)^2} [/tex]

[tex] = \frac{2x^2y + 2y^3 - 2y^3}{(x^2 + y^2)^2} [/tex]

[tex] = \frac{2x^2y}{(x^2 + y^2)^2} [/tex].

Apart from the point of origin (0,0), this is continuous.

This means a unique solution exists in the region consisting of all points in the xy-plane except the origin.

Answer:

478.5

Step-by-step explanation:

The 4 is less than 5 so it rounds down.

Answer:

478.5

Step-by-step explanation:

Answer:

π∫52(ey3)2dy

The work I did to solve this equation:

Step 1

ln(3x)=2

3x=2e

x=2e3

Step 2

ln(3x)=5

3x=5e

x=5e3

Step 3

y=ln(3x)⟺ey=3x⟺ey3=x

Step 4

π∫52(ey3)2dy

Answer:

45p

Step-by-step explanation:

9p(5)

9p*5=45p

Please let me know if this wasn't how your problem was suppose to look