(3+√2)^2 Please show work

Answer:

d) The difference exists due to chance since the test statistic is small

Step-by-step explanation:

From the given information:

Population mean = 178 cm

the sample mean = 177.5 cm

the standard deviation = 2

the sample size = 25

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis:

[tex]H_o: \mu = 178[/tex]

Alternative hypothesis:

[tex]H_1: \mu \neq 178[/tex]

The t-test statistics is determined by using the formula:

[tex]t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}[/tex]

[tex]t = \dfrac{-0.5}{\dfrac{2}{5}}}[/tex]

[tex]\mathbf{t= -1.25}[/tex]

Degree of freedom df = n- 1

Degree of freedom df = 25 - 1

Degree of freedom df = 24

At the level of significance ∝ = 0.05, the critical value  = 2.064

Decision rule: To reject the null hypothesis if the test statistics  is greater than the critical value at 0.05 level of significance

Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that  the difference exists due to chance since the test statistic is small

Answer:

d. The difference exists due to chance since the test statistic is small

Step-by-step explanation:

With a very small sample size of 25, a difference of 0.5 cm is most likely due to chance.

Answer:

не знаю Не до х#я не знаю

Answer:

3rd option

Step-by-step explanation:

7.6, 7.42, square 48,  79%=0.79

Answer:

C

Step-by-step explanation:

To make this easier, simplify all values to rational numbers (simplify from percentages and roots):

79% → 79÷100 → 0.79

√48 ≈ 6.9

Now order from greatest to least (descending):

[tex]7.6,7.42,6.9,0.79[/tex]

Re-insert the given values before simplification:

7.6, 7.42, √48, 79%

The correct answer is option C.

:Done

Answer:

P (system will crash) = 0.101528

P(A and B jails / System crash) = 0.5390

Step-by-step explanation:

The complete question is as stated below

"Suppose a system has two modules, A and B , that function independently. Module A fails with probability 0.24 and Module B fails with probability 0.38 ,when the system is executed.  When the system is executed, the system crashes with probability 0.05 if only Module A fails. The system crashes with probability 0.12 if only Module B fails. The system crashes with probability 0.60 if both Module A and Module B fail. The system crashes with probability 0.01 if neither fails.

(a) When the system is executed, what is the probability the system will crash?

(b) If the system crashes, what is the probability that both modules A and B crashed?"

Solution

P(A fails) = 0.24

P(B fails) = 0.38

P(A ∩ B) = P (A) * P (B) = 0.24 * 0.38 = 0.0912

P(only A fails) = P(A) - P(A ∩ B) =0.24 - 0.24*0.38 = 0.1488

P(only A fails) =P(B) - P(B ∩ A) = 0.38 - 0.24*0.38 = 0.2888

P(Both fails) = P(A) * P(B) = 0.24*0.38 = 0.0912

P(Neither fails) = P(A) * P(B) =1-(0.24+0.38-0.0912) = 0.4712

P(Add to 1)

a) P (system will crash) = 0.1488*0.05+0.2888*0.12+0.0912*0.6+0.4712*0.01 P (system will crash) = 0.101528

b) P(A and B jails / System crash) = 0.0912*0.6 / 0.101528

P(A and B jails / System crash) = 0.5390

Answer:

140 and 142?

Step-by-step explanation:

Answer:

6/8

9/12

12/16

Step-by-step explanation:

Answer:

$17,640

Step-by-step explanation:

Stuco wants to start a new project to help with trash removal. They need $15 to buy supplies at the local landfill and they charge 75 per pound. If the Senior Class collects 235 pounds of trash, the cost  is going to be $17,640.

235 ⋅ 75 = 17,625

17,625 + 15 = 17,640

Therefore, the answer is $17,640.

Answer:

P = 4

Step-by-step explanation:

The LP is:

Maximize p = x+y

x+3y≤4

3x+y≤4

x ≥ 0

y ≥ 0

Solving graphically using the geogebra graphing calculator which is attached, the points are A(0, 4), B(0, 1.33), C(1.33, 0), D(4, 0) and E(1, 1)

The maximum objective is:

For point A(0, 4):  Maximize p = x + y = 0 + 4 = 4

For point B(0, 1.33):  Maximize p = x + y = 0 + 1.33 = 1.33

For point C(1.33, 0):  Maximize p = x + y = 1.33 + 0 = 1.33

For point D(4, 0):  Maximize p = x + y = 4 + 0 = 4

For point E(1, 1):  Maximize p = x + y = 1 + 1 = 2

Hence, the maximum point is at A(0, 4) which gives P = 4

Answer:

First one- The ? across from 70 degrees is 70 degrees, and the ones on the side are both 110 degrees.

The second one- The one across 53 degrees is 53 degrees and the ones are the side are both 127 degrees.

Step-by-step explanation:

Take the shown angle and subract that by 180 degrees to get your answer for the missing angles. And the one across from the shown angle is the same number.

Hope this helped im not sure if its right though.

The solution of the given function will be F(4)=14

Since we know that Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, it is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable . In physical sciences, functions are indispensable for formulating physical relationships.

We have been given a function as;

F(x)=3x+2

F(4)=3x+2

WE have to substitute the value of x as 4 then we get;

F(4)=3(4)+2

F(4)=14

Therefore, the value of the given function will be as 14.

Learn more about function here:

https://brainly.com/question/2253924

#SPJ6

Answer:

30/1

Step-by-step explanation:

300 miles per 10 gallons or 300/10.

simplify by dividing both numbers by the greatest common denominator. which in this case is 10. so divide 300 and 10 by ten and you get 30/1. it can't be simplified any more so thats the final simplified ratio.

Answer:

Skew.

Step-by-step explanation:

Answer:

D- skew

Step-by-step explanation:

Just took the test today and got it right :)

Answer:

the answer will be y=2x

Step-by-step explanation:

Answer:

10 hours

Step-by-step explanation:

It is given that,

Standard working day is 8 hours

If you were to work 125% of a normal day, then it means that,

[tex]125\%\ \text{of}\ 8\ \text{hours}\\\\=\dfrac{125}{100}\times 8\\\\=10\ \text{hours}[/tex]

Hence, you will work for 10 hours.

Answer:

yellow?

Step-by-step explanation:

so you have 1 then add another an get yellow, bam im a genius

Answer:

i think you have to first find the first 50 numbers of pi then x that my 96,1000 then you should turn on then off the   works to but if you have a switch it wont work so after that you have to tell who ever you live with that they need to keep talking and never stop being them  and that they are nice person  then you get the answer

Step-by-step explanation:

this only works if you are cool enough

Answer:

Most of U.S. electricity generation is from electric power plants that use a turbine or similar machine to drive electricity generators. A turbine converts the potential and kinetic energy of a moving fluid (liquid or gas) to mechanical energy.

Step-by-step explanation:

pls mark brainliest

Answer:

most power stations make use of turbines which drives power generators. A turbine converts potential and kinetic of moving fluid to mechanical energy.

Answer:

D. 3

Step-by-step explanation:

Assuming the model represents an equation, the following can be deduced:

On the left side of the equation, the model shows we have 3 "x's", and 6 "1's". Let this represent:

3x + 6

On the right side of the equation, we have 2 "x's" and 9 "1's". Let this represent:

2x + 9.

The model would represent the equation below:

[tex] 3x + 6 = 2x + 9 [/tex]

Solve for x

[tex] 3x + 6 - 2x = 2x + 9 - 2x [/tex] (Subtracting 2x from both sides of the equation)

[tex] x + 6 = 9 [/tex]

[tex] x + 6 - 6 = 9 - 6 [/tex] (subtracting 6 from both sides of the equation)

[tex] x = 3 [/tex]

Answer:

z = 2

Step-by-step explanation:

Answer:

z=2

Step-by-step explanation:

8(3-z)=4z

multiply 8 by 3 and 8 by -z

24-8z=4z

subtract 24 from both sides

-8z=4z-24

subtract 4z from both sides

-12z=-24

divide both sides by -12

z=2

Answer:

[tex]Changes = -\$9[/tex]

Step-by-step explanation:

Given

[tex]Cracker = \$7[/tex]

[tex]Parrot = \$2[/tex]

Required

Determine the changes in the account

First, we need to determine the total amount spent;

[tex]Total = Cracker + Parrot[/tex]

[tex]Total = \$7 + \$2[/tex]

[tex]Total = \$9[/tex]

Hence, the changes in her account is a debit of $9 i.e. -$9

Answer:

He bought 15 gallons of gasoline.

Step-by-step explanation:

In the expression [tex]15n+2(3p)[/tex]

[tex]n=[/tex] price of each gallon of gasoline

[tex]p=[/tex] cost of each snack bought

We can go ahead and distribute.

[tex]15n+6p[/tex]

The [tex]6p[/tex] means he bought 6 snacks. The [tex]15n[/tex] means he bought 15 gallons of gasoline.

Answer:

c

Step-by-step explanation:

Answer:

is there more to the question? this does not make seince  

Step-by-step explanation:

Answer:

−2.5<x<2.5

Step-by-step explanation:

Let's find the critical points of the inequality.

4x2−25=0

4x2−25+25=0+25(Add 25 to both sides)

4x2=25

4x24=25/4(Divide both sides by 4)

x2=25/4

x=±√254(Take square root)

x=2.5,−2.5

Check intervals in between critical points. (Test values in the intervals to see if they work.)

x<−2.5(Doesn't work in original inequality)

−2.5<x<2.5(Works in original inequality)

x>2.5(Doesn't work in original inequality)

Answer:

2 y^6

Step-by-step explanation:

Simplify the following:

(2 x y^2)^5/((4 x^2 y)^2 x y^2)

Hint: | Distribute exponents over products in (4 x^2 y)^2.

Multiply each exponent in 4 x^2 y by 2:

(2 x y^2)^5/(4^2 x^(2×2) y^2 x y^2)

Hint: | Multiply 2 and 2 together.

2×2 = 4:

(2 x y^2)^5/(4^2 x^4 y^2 x y^2)

Hint: | Evaluate 4^2.

4^2 = 16:

(2 x y^2)^5/(16 x^4 y^2 x y^2)

Hint: | Distribute exponents over products in (2 x y^2)^5.

Multiply each exponent in 2 x y^2 by 5:

(2^5 x^5 y^(5×2))/(16 x^4 y^2 x y^2)

Hint: | Multiply 5 and 2 together.

5×2 = 10:

(2^5 x^5 y^10)/(16 x^4 y^2 x y^2)

Hint: | Compute 2^5 by repeated squaring. For example a^7 = a a^6 = a (a^3)^2 = a (a a^2)^2.

2^5 = 2×2^4 = 2 (2^2)^2:

(2 (2^2)^2 x^5 y^10)/(16 x^4 y^2 x y^2)

Hint: | Evaluate 2^2.

2^2 = 4:

(2×4^2 x^5 y^10)/(16 x^4 y^2 x y^2)

Hint: | Evaluate 4^2.

4^2 = 16:

(2×16 x^5 y^10)/(16 x^4 y^2 x y^2)

Hint: | Multiply 2 and 16 together.

2×16 = 32:

(32 x^5 y^10)/(16 x^4 y^2 x y^2)

Hint: | In (32 x^5 y^10)/(16 x^4 y^2 x y^2), divide 32 in the numerator by 16 in the denominator.

32/16 = (16×2)/16 = 2:

(2 x^5 y^10)/(x^4 y^2 x y^2)

Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (2 x^5 y^10)/(x^4 y^2 x y^2).

Combine powers. (2 x^5 y^10)/(x^4 y^2 x y^2) = 2 x^(5 - 1 - 4) y^(10 - 2 - 2):

2 x^(5 - 1 - 4) y^(10 - 2 - 2)

Hint: | Evaluate 5 - 1 - 4.

5 - 1 - 4 = 0:

2 x^0 y^(10 - 2 - 2)

Hint: | Evaluate 10 - 2 - 2.

10 - 2 - 2 = 6:

2 x^0 y^6

Hint: | Any nonzero expression to the zero power is one.

x^0 = 1:

2×1 y^6

Hint: | Simplify the expression.

Write 2×1 y^6 as 2 y^6:

Answer: 2 y^6

Answer:

30cm

Step-by-step explanation:

2w+2L=Perimeter of rectangle

2w+2*16=92

2w+32=92

2w=92-32

2w=60

w=30

check : 16 +16 +30 +30 =92cm

Answer:

8

Step-by-step explanation:

Convert to polar coordinates, in which the circle's equation becomes

[tex]\left(\dfrac x5\right)^2+\left(\dfrac y5\right)^2=1\implies x^2+y^2=5^2\implies r^2=5^2\implies r=5[/tex]

where [tex]x=5\cos\theta[/tex] and [tex]y=5\sin\theta[/tex], and we get the part of the circle in the first quadrant with [tex]0\le \theta\le\frac\pi2[/tex].

So the integral is

[tex]\displaystyle\int_C(8x-3y)\,\mathrm ds=\int_0^{\frac\pi2}(8x(\theta)-3y(\theta))\sqrt{\left(\dfrac{\mathrm dx}{\mathrm d\theta}\right)^2+\left(\dfrac{\mathrm dy}{\mathrm d\theta}\right)^2}\,\mathrm d\theta[/tex]

[tex]=\displaystyle\int_0^{\frac\pi2}(40\cos\theta-15\sin\theta)\sqrt{25\cos^2\theta+25\sin^2\theta}\,\mathrm d\theta[/tex]

[tex]=\displaystyle25\int_0^{\frac\pi2}(8\cos\theta-3\sin\theta)\,\mathrm d\theta[/tex]

[tex]=25(8\sin\theta+3\cos\theta)\bigg|_0^{\frac\pi2}=200-75=\boxed{125}[/tex]

Line integral involves integrating a function along a curve

The value of the line integral is 125

The equation is given as:

[tex]\mathbf{(\frac{x}{5})^2 + (\frac{y}{5})^2 = 1}[/tex]

Expand

[tex]\mathbf{\frac{x^2}{5^2} + \frac{y^2}{5^2} = 1}[/tex]

Multiply through by 5^2

[tex]\mathbf{x^2 + y^2 = 5^2}[/tex]

The equation of a circle is represented as:

[tex]\mathbf{(x - a)^2 + (y - b)^2 = r^2}[/tex]

So, by comparison

[tex]\mathbf{r^2 = 5^2}[/tex]

[tex]\mathbf{r = 5}[/tex]

Where:

[tex]\mathbf{x = rcos\theta}[/tex]

[tex]\mathbf{y = rsin\theta}[/tex]

So, we have:

[tex]\mathbf{\int_c (8x - 3y)ds}[/tex]

Because it is in the first quadrant (i.e. 0 to pi/2), the integrand becomes

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_0 (8x - 3y)rd\theta}[/tex]

Convert to polar forms

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_0 (8x - 3y)\sqrt{x^2 + y^2}d\theta}[/tex]

Substitute [tex]\mathbf{x = rcos\theta}[/tex] and [tex]\mathbf{y = rsin\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c (8rcos(\theta) - 3rsin(\theta))\sqrt{(rcos(\theta))^2 + ( rsin(\theta))^2}d\theta}[/tex]

Substitute 5 for r

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c (40cos(\theta) - 15sin(\theta))\sqrt{25cos^2\theta + 25sin^2\theta}\ d\theta}[/tex]

Factor out 5

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 5(8cos(\theta) - 3sin(\theta))\sqrt{25cos^2\theta + 25sin^2\theta}\ d\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 5(8cos(\theta) - 3sin(\theta))\sqrt{25(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 5(8cos(\theta) - 3sin(\theta))5\sqrt{(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds = \int\limits^{\frac{\pi}{2}}_c 25(8cos(\theta) - 3sin(\theta))\sqrt{(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =25 \int\limits^{\frac{\pi}{2}}_c (8cos(\theta) - 3sin(\theta))\sqrt{(cos^2\theta + sin^2\theta)}\ d\theta}[/tex]

In trigonometry

[tex]\mathbf{cos^2\theta + sin^2\theta = 1}[/tex]

So, we have:

[tex]\mathbf{\int_c (8x - 3y)ds =25 \int\limits^{\frac{\pi}{2}}_c (8cos(\theta) - 3sin(\theta))\sqrt{1}\ d\theta}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =25 \int\limits^{\frac{\pi}{2}}_0 (8cos(\theta) - 3sin(\theta))\ d\theta}[/tex]

Integrate

[tex]\mathbf{\int_c (8x - 3y)ds =25 \times [ (8sin(\theta) + 3cos(\theta))\ } ]|\limits^{\frac{\pi}{2}}_0}[/tex]

Expand

[tex]\mathbf{\int_c (8x - 3y)ds =25 \times ([ 8sin(\frac{\pi}{2}) + 3cos(\frac{\pi}{2})] - ([ (8sin(0) + 3cos(0)])}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =25 \times ([ 8\times 1 + 3\times 0)] - ([ (8\times 0 + 3\times 1])}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =25 \times ([ 8] - [ 3])}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =25 \times 5}[/tex]

[tex]\mathbf{\int_c (8x - 3y)ds =125}[/tex]

Hence, the value of the line integral is 125

Read more about line integrals at:

https://brainly.com/question/16571667

Answer:

5/3x + 4 = 2/3x  

Step One- Subtract 5/3x to isolate the variable  

4 = -3/3x  

Step Two- Divide –3/3 to make your equation easier  

4 = -x  

Step Three- Divide by -1 (the lone negative cannot be there. It always represents a  –1)  

-4 = x      is your answer!  

Hopefully this helped! Feel free to mark brainliest!

Answer: 76 degrees

Step-by-step explanation:

m<abc = m<1 + m<2

4x+12=(2x-7)+(3x-4)

x=23

180=4x+12+m<3

m<3=76