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charle [14.2K]
3 years ago
6

An angle measures 54° less than the measure of a supplementary angle. What is the measure of each angle?

Mathematics
1 answer:
Katen [24]3 years ago
8 0
X+x+54=180
2x+54=180
2x=126
x=63
63+54=117
one angle is 63, the other is 117
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Which of the following SRS designs will give the most precision (smallest standard error) for estimating a population mean? Assu
Serjik [45]

Answer:

Design 3: An SRS of size 3000 from a population of size 300,000,000

Step-by-step explanation:

To check the SRS designs will give the most precision (smallest standard error) for estimating a population mean, we'll make use of the following formula:

V(y) = S²/n( 1 - n/N)

Where S² is a constant for the three SRS designs

Check the first design

n = 400

N = 4000

So, V(y) = S²/400 (1 - 400/4000)

V(y) = S²/400(1 - 0.1)

V(y) = 0.0025S²(0.9)

V(y) = 0.00225S²

V(y) = 2.25S²E-3

The second design

n = 30

N = 300

So, V(y) = S²/30 (1 - 30/300)

V(y) = S²/30(1 - 0.1)

V(y) = S²/30(0.9)

V(y) = 0.03S²

V(y) = 3S²E-2

The third design

n = 3,000

N = 300,000,000

So, V(y) = S²/3,000 (1 - 3,000/300,000,000)

V(y) = S²/3,000(1 - 0.00001)

V(y) = S²/3,000(0.99999)

V(y) = 0.00033333

V(y) = 3.33S²E-4

7 0
3 years ago
PLS SHOW YOUR REASONING ASAP
Lubov Fominskaja [6]

Answer:

(assuming you are knowledge about Pythagoras theorem)

44.205

Step-by-step explanation:

draw the altitude line to the upper right corner and the lower left corner and you have 2 identical right triangles and a rectangle. If you solve the third side of the right triangles you get 1.685 (sqrt[7.2^2 - 7^2]).

now add up the areas of both triangles and the rectangle in the center whose base is 4.63 (subtract the 3rd side from 8)

you have

1.685(7) + 7(4.63)

7 0
3 years ago
Select the best answer for the question.
Tanzania [10]

Answer:

A. 1 hour and 16 minutes

Step-by-step explanation:

There are 250 mL of D5W infusing at 33 gtt/min on IV tubing calibrated at 10 gtt/mL.  Calculate the infusion time.

select "No IV pump"

volume = 250 mL

rate = 33 gtt/min

calibration = 10 gtt/mL

Actual formula:

250 /( 33 gtt/min

10x  60)= 1.26 Hours

0.26 x 60 = 16 minutes

So 1.26 Hours = 1 Hour & 16 minutes

hope this will help you

3 0
3 years ago
How long does it take for a bee to fly 12 miles going 15 mph?
sladkih [1.3K]
Two hours ! i think i'm not good at many
4 0
3 years ago
A square plot of land has an area of 484m².What is the perimeter​
harina [27]

Answer:

Perimeter: 88m

Step-by-step explanation:

Area of the square plot = (Side) X (Side)

And we are given the area is 484m²,

therefore, (Side) X (Side) = 484m²

or,

(Side)² = 484, taking square root on both the sides,

\sqrt{(Side)^{2} } = \sqrt{484}

Side = 22m.

And we know that, perimeter of a square is = 4 X (Side)

Therefore, Perimeter = 4 X 22 = 88m

:-)

3 0
3 years ago
Read 2 more answers
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