The 95% confidence interval for these parts is 56.98 to 57.05 under normal operations. A systematic sample is taken from the manufacturing line to determine if the production process is still within acceptable levels. The mean of the sample is 56.96. What should be done about the production line

Answer:

Decimal Form:1.766666...

Mixed Number Form: 1 23/30

Exact Form:53/30

Step-by-step explanation:

Answer and Step-by-step explanation:

22ft = x (c)

20ft = y (b)

18ft = z (a)

Plug into equation.

[tex]22^{2} = 20^{2} + 18^{2} - 2(20)(18)cosC (X)\\\\484 = 724 - 720cosC\\\\-240 = -720cosC\\\\\frac{1}{3} = cosC\\\\cosx^{1} (\frac{1}{3} ) = C\\\\C = 70.5288\\\\[/tex]

C ≈ 70.5 is the answer.

Answer:

The value of f(3) = -2.

Step-by-step explanation:

First of all, let's find f(2).

[tex]f(n+1)=f(n)^{2}-3[/tex]

[tex]f(1+1)=f(1)^{2}-3[/tex]

[tex]f(2)=f(1)^{2}-3=2^{2}-3=1[/tex]

Now, we can find f(3):

[tex]f(2+1)=f(2)^{2}-3[/tex]

[tex]f(3)=f(2)^{2}-3=1^{2}-3=-2[/tex]

Therefore, the value of f(3) = -2.

I hope it helps you!

Answer:

50%

Step-by-step explanation:

50% is half of a quantity, while 30% is less than half.

Answer:

..

50% is greater than 30%

Step-by-step explanation:

ooooo

Answer:

21.8cm is the required answer

Step-by-step explanation:

The measurement of the third side of the triangle is 22 cm

The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,

Finding angle A

180°-(75°+31.8°) = 73.2°

Now, using the sine law,

Sin 73.2° / a = Sin 75° / 22

a = 21.80

a ≈ 22

Hence, the measurement of the third side of the triangle is 22 cm

Learn more about sine law, click;

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Answer:

Well, when we have a point in rectangular coordinates (x, y) and we want to write it in polar coordinates (r, θ) the rule we use is:

r = √(x^2 + y^2)

θ = Atg(Iy/xI) + 90°*(n - 1)

where n is number of the quadrant where our point is.

For example, if we are on the second quadrant, we use n = 2.

Now, if instead, we have the point (r, θ) and we want to rewrite it in rectangular coordinates, then the transformation is:

x = r*cos(θ)

y = r*sin(θ)

Now we have the point (- 2, -(5pi)/4) because the first part is negative, this number can not be in polar coordinates (r can not be negative) then we have:

x = -2

y = -(5*pi)/4

Using the first relation, we can find that:

r = √( (-2)^2 + (-5*3.14/4)^2) = 4.4

(rememer that the point (- 2, -(5pi)/4) is on the third quadrant, then we will use n = 3.)

θ = Atg(-(5*pi)/4/-2) + 90°*(3 - 1)= Atg((5*pi)/2) + 180° = 82.7° + 180° = 262.7°

Then the point that represents  (- 2, - (5pi)/4) in polar coordinates is the point:

(4.4, 262.7°)

If instead of degrees, the angle part is written in radians, we have:

180° = 3.14 radians.

262.7° = x radians.

then:

x/3.14 = (262.7)/180

x =  3.14*(262.7)/180 = 4.58 radians.

then the point will be:

(4.4, 4.58 radians)

Answer:

C) 4k-24

A)10x+15x

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\frac{21}{33}[/tex] simplified would be [tex]\frac{7}{11}[/tex]

The probability that they play violin or guitar is 7/11 .

Probability is the likeliness of an event to occur.

It is given that

The number of students who only play violin is 8

The number of students who only play guitar is 10

The number of Students who play both is 3

The number of students who don't play either is 12

Total Students = 8+10+3+12 = 33

Total favorable outcomes (violin or guitar) = 8 + 10 +3

Probability = Total favorable outcomes / Total outcomes

Probability = 21 / 33

Probability = 7/11

Therefore the probability that they play violin or guitar is 7/11 .

To know more about Probability

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Answer:

its a three out of seven then it stays the same

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

2 table spoons

Step-by-step explanation:

you have six teaspoons, and a ratio of 3:1, so if you use that, then times the three by two, and theres your six teaspoons, and then that means 2 table spoons!

Answer:

The change in temperature was of -16ºF, that is, a decrease of 16ºF.

Step-by-step explanation:

At noon, the temperature was of 82°F.

By midnight the temperature had fallen to 66°F.

Change:

Final value subtracted by initial value, so

66ºF - 82ºF = -16ºF

The change in temperature was of -16ºF, that is, a decrease of 16ºF.

Answer:

14.333 yards

516 inches

Answer:

3) 43 ft = 14.33 yards and 516 inches.

Step-by-step explanation:

43 ft = ? yards

Divide 43 by 3: 43 ÷ 3 = 14.33 yards

43 ft = ? inches

Multiply 43 by 12: 43 × 12 = 516 inches

Answer:

a)18.8

Step-by-step explanation:

Basically, you have to add all the numbers from the data set (188) then divide them by 10 and that equals 18.8

The second part you have to add 32 to 188 ( which equals 210) and that by 11 which equals 20

Answer:

b. x/8 + x/16 = 3/4

4 miles

Step-by-step explanation:

edge

Answer:

The slope is 5 and the y-intercept is at (0, 6)

Step-by-step explanation:

Parallel lines have the same slope, so the slope of the equation is 5. The equation is y = 5x + 6, so the y-intercept is 6.

Answer:

A seizure and a half

Step-by-step explanation:

Answer:

495962981439552000

Answer:

0.036

Step-by-step explanation:

Answer:

0.24 x 0.15 = 0.036

Step-by-step explanation:

First ignore the decimal points so you have 24*15 = 360.

You have to start at the right, and move the decimal point 4 places. So, you get 0.036. Pls give brainliest.

Answer:

It means that if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

We know, that the planet Earth is formed 70% by water, and the globe represents this. This means, as the statement says, the if we select a random point around the globe, there is a 70% = 0.7 probability that it represents water.

Answer:

The answer is ->

x>-3

Answer:

Yes!

Step-by-step explanation:

4x5= 20

15+5= 20

Answer:

The lines intersect at (-2,2).

Step-by-step explanation:

The line has an y intercept of 1 and a slope of -1/2 so after graphing the both of them thats where they intersect.  

Step-by-step explanation:

-8x+5 > 21

Minus 5 from both sides

-8x > 16

Then divide 8 from both sides (also I am pretty sure the sign would change because you are dividing by a negative number)

x < -2

So the answer is x is less than or equal to -2

or C

I hope this helps!

Answer:

The answer is 1,300 tickets.

Step-by-step explanation:

If you add 2%+8%+16%= 26%  26% of 5,000 is 1,300.

Answer:

1300

Step-by-step explanation:

platinum: 2%+club: 8%+ floor: 16%=26%

[tex]\frac{26}{100}[/tex]×[tex]\frac{5000}{1}[/tex] =1300

Step-by-step explanation:

i think it should be

2(8x+3)+10

Answer:

16x+16

Step-by-step explanation:

8x+3+8x+3+5+5

16x+6+10

16x+16

Answer:

yes

Step-by-step explanation:

Factors of 84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84