The ideal output of a particular oil-rig in the Mexican Gulf is at least 2000 barrels per day. If the output is lesser than that, the foreman raises an red flag at the end of the day. Old Joe the Retired Statistician watches from the shore every day. After 28 days, the red flag was raised on 16 of those days. Could Joe conclude that the oil-rig is operating at a non-ideal condition most of the time

Answer:

(69.708 ; 74.292) ; 78% ; 350 ;

H0 : μ = 72

H0 : μ > 72

Pvalue = 0.8897

there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.

Step-by-step explanation:

99.5% confidence level, = 2.807

Sample size, n = 150

xbar = 72

Standard deviation, s = 10

Xbar ± Margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 2.807 * 10/sqrt(150)

Margin of Error = 2.292

Lower boundary = 72 - 2.292 = 69.708

Upper boundary = 72 + 2.292 = 74.292

(69.708 ; 74.292)

B.)

Confidence level of the interval (71, 73)

(72 - 71 ) or (73 - 72)

Margin of Error = 1

Margin of Error = Zcritical * s/sqrt(n)

1 = Zcritical * 10/sqrt(150)

1 = Zcritical * 0.8164965

Zcritical = 1 / 0.8164965

Zcritical = 1.2247

α = 0.22 = 1 - 0.22 = 0.78 = 78%

C.)

Margin of Error = ±1.5

1.5 = Zcritical * s/sqrt(n)

99.5% confidence level, = 2.807

1.5 = 2.807 * 10/sqrt(n)

1.5 = 28.07 / sqrt(n)

Square both sides

1.5² = 28.08² / n

2.25n = 788.4864

n = 788.4864 / 2.25

n = 350.4384

n = 350 samples

D.)

H0 : μ = 72

H0 : μ > 72

Test statistic :

(xbar - μ) ÷ s/sqrt(n)

(73 - 72) ÷ 10/sqrt(150)

Test statistic = 1.2247

Pvalue :

P(Z < 1.2247) = 0.8897

Pvalue > α

0.8897 > 0.005

We fail to reject the Null ; Hence there is not enough evidence to support the claim that the mean time needed to complete the step is greater than 73.

Answer:

A.

✔ Aida’s Work

Step-by-step explanation:

E 2021

Answer:

3^12

Step-by-step explanation:

Answer:

The length of the hypotenuse is 37cm

Step-by-step explanation:

we know that the area of the triangle can be found by 1/2bh. we can plug in what we know into this formula to find the height.

a=1/2bh

210=1/2(12)h

210=6h

h=35cm

now, since it's a right triangle, we can find the length of its hypotenuse by using the pythagorean theorem, using c to represent the length of the hypotenuse:

12^2+35^2=c^2

c^2=144+1225

c^2=1369

c=37

so, the hypotenuse is 37cm

The length of the hypotenuse is 21.22 cm

The given parameters are:

Area = 210

Base = 12

Start by calculating the height using:

Height = Area/Base

This gives

Height = 210/12

Divide

Height = 17.5

The hypotenuse is then calculated using:

Hypotenuse = √(Base^2 + Height^2)

This gives

Hypotenuse = √(12^2 + 17.5^2)

Evaluate

Hypotenuse = 21.22

Hence, the length of the hypotenuse is 21.22 cm

Read more about right triangles at:

https://brainly.com/question/23814470

Answer:

x=20

Step-by-step explanation:

Answer:

Solution given:

<ABC+<QRS=180°[supplementary]

<QRS=180°-100°

<QRS=80° is your answer

Answer:

$6000×3%=180 for a month

so for for years

=6000x48×3%=R8 640

Step-by-step explanation:

1 year has 12 month so you will say 4 year's × 12 Month's it will give you 48 so you Multiply by his deposited money ×Percent

formula=Deposit money×Year's×Percent

Answer:

2

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -1/3x + 2

    b = 2

Answer:

since negative 1/3 is the slope and x is the point on the x axis , 2 is the y intercept

Answer:

18.0 cm

Step-by-step explanation:

[tex]hyp^{2} = opp^{2} + adj^{2}[/tex]

[tex]hyp^{2} = 6^{2} + 17^{2}[/tex]

[tex]hyp^{2} = 325[/tex]

[tex]hyp = 5\sqrt{13}[/tex]

[tex]= 18.028 cm[/tex]

9514 1404 393

Answer:

  4096∠0°

Step-by-step explanation:

The polar form of the base value is 2∠120°. Then the 12-th power is ...

  (2^12)∠(12×120°) = 4096∠0° . . . . or θ = 0 radians, as you wish

_____

I prefer the simpler notation r∠θ, rather than ...

  r(cos(θ) +i·sin(θ))   or   r·cis(θ)   or   r·e^(iθ)

You might not see this notation very often in areas outside of electrical engineering.

9514 1404 393

Answer:

  267.9 m

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

In this geometry, the angle of depression is the angle of interest. The "adjacent" side of the triangle is the distance to the boat. The "opposite" side is the height of the cliff.

  tan(15°) = height/(1000 m)

  height = (1000 m)tan(15°)

  height ≈ 267.9 m

The cliff is about 267.9 meters tall.

Answer:

C: x=6 D: x=2

Step-by-step explanation:

Hope this helps

Answer:

{201-[68-(40/4)+(-8)+(70x2)]}

{201-[68-(40/4)+(-8)+140]}

{201-[68-10-8+140]}

{201-[68-18+140]}

[201-[50+140]}

{201-190}

11is your answer

Answer:

85

Step-by-step explanation:

255 ÷ 3 = 85

85×2= 170 This is how much student tickets were sold.

255 - 170= 85

85 adult tickets were sold.

Answer:

15

Step-by-step explanation:

In this problem we need to use the numbers given. So in the problem it states that k = 20 and v = 10. We can replace the letters in the equation for the numbers that it equals so the equation can make sense so 25 - 20 + 10 because k is 20 and v is 10 I simply just replaced the letters with the numbers given in the problem. Then we can just subtract 25 - 20 which is 5 and add 10 which leaves you at a final answer of 15. Hope this helped!

Answer:

Angle 1 = 40

Step-by-step explanation:

Angle 1 and Angle 2 are alternate angles. So,

2x + 20 = 3x + 10

3x - 2x = 20 - 10

x = 10

Angle 1 = 2x + 20 = 2 x 10 + 20 = 40

Answer:

vertical angles

Step-by-step explanation:

bc they are across from eachother

Answer:

50%

Step-by-step explanation:

Answer: 1/6

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

If the data is in order, the median is the middle value.

If there are two values in the middle, you add them together and divide by 2

So [tex]\frac{25+27}{2} =26[/tex]

Answer:

-63, 38

Step-by-step explanation:

1st number = x

2nd number = x+101

x+x+101=-25

2x=-126

x=-63

1st number = x = -63

2nd number = x+101 = 38

Answer:

x=38

y= -63

Step-by-step explanation:

x+y=-25

y=x-101

x+(x-101)= -25

2x=-25+101

2x=76

x=76/2

x=38

y=x-101

y=38-101

y= -63

Answer:

2,178

Step-by-step explanation:

Multiply all the numbers together in other words do the length of the base times the width of the base then multiply the product by the height of the prism.

(11)(11)18

Answer:

let x represent the number tickets

number of ticket=6

cost of the travelling insurance per ticket =$18

total cost= $1056

(x+x+x+x+x+x+18)= $1,056

6x + 18 = $1,056