What is the LCD of 3/5 and 1/6

The pulse rates of 174 randomly selected adult males vary from a low of 39 bpm to a high of 111 bpm. Find the minimum sample siz

Daniel [21]

Answer:

a. The sample size is approximately 97 adults

Step-by-step explanation:

The given parameters are;

The number of adults surveyed, n = 174

The lowest value of the pulse rate = 39 bpm

The highest value of the pulse rate = 111 bpm

The level of confidence used for determining the sample size = 90%

The given sample mean = 3 pm of the population mean

a. The range rule of thumb states that the standard deviation is approximately one quarter (1/4) of the range

The range = 111 bpm - 39 bpm = 72 bpm

Therefore, the standard deviation, σ = 72 bpm/4 = 18 bpm

The sample size, 'N', is given as follows;

$N = \dfrac{z^2 \cdot p \cdot q}{e^2}$

Where;

N = The sample size

z = The confidence level, 90% (z-score at 90% = 1.645)

p·q = σ² = 18² = 324

e² = 3² = 9

$N = \dfrac{1.645^2 \times 324}{3^2} = 97.4169$

Therefore the appropriate sample size, N ≈ 97 adults.

8 0

3 years ago

The $1 coin depicts Sacagawea and her infant son. The diameter of the coin is 26.5 mm, and the thickness is 2.00 mm. Find the vo

Contact [7]

Answer

Find the volume of the coin is cubic millimeters.

To prove

Formula

$Volume\ of\ cylinder\ = \pi r^{2} h$

Where r is the radius and h is the height .

As given

The $1 coin depicts Sacagawea and her infant son.

The diameter of the coin is 26.5 mm, and the thickness is 2.00 mm.

$Radius = \frac{Diameter}{2}$

$Radius = \frac{26.5}{2}$

Radius = 13.25 mm

$\pi = 3.14$

Put in the formula

Volume of coin = 3.14 × 13.25 × 13.25 × 2.00

= 1102.53 mm³ (approx)

Therefore the volume of the coin is 1102.53 mm³ .

7 0

3 years ago

A rectangular field is 90 yards long and 60 yards wide.Give the length and width of another rectangular field that has the same

Ilya [14]

Answer:

The length and width of another rectangular field with same perimeter but a larger area is 80 m by 70 m

Step-by-step explanation:

The perimeter of the existing field is

2(l + b)

= 2(90 + 60) = 2(150) = 300 yards

So we want another field having the same perimeter but a larger area

The area we have here is 90 * 60 = 5,400 square yards

If we had 80 by 70

Perimeter will still be 2(70 + 80) = 150

But the area will be 80 * 70 = 5,600 square yards

3 0

3 years ago

The scale on a map is 1 : 500000 <br> Two towns are 7cm apart on the map

KengaRu [80]

1 : 500,000

multiplied by 7 cm is

7 cm : 3,500,000 cm

= 7 cm : 35000.00 m . . . (100 cm in 1 m)

= 7 cm : 35 km . . . (1000 m in 1 km)

The actual distance between the towns is 35 km.

5 0

3 years ago

The fastest speed at table tennis ball has been hit is 21.12 faster than the speed for the fastest swimmer. What is the speed fo

Juli2301 [7.4K]

Remark

You cannot give an answer to this unless you are give the fastest speed of a swimmer. That stat is not an easy one to decide upon. At what distance for example or do you eliminate distance? Since this is a college level question, I don't think it unreasonable that you have to research raw distance over fastest time.

The fastest speed I can find is 100 meters in 46.91 seconds. That means that the actual speed of the swimmer is 100 meters / 46.91 = 2.132 meters / second.

Givens

Set up a proportion with the numbers found and given

Speed of ball / speed of swimmer = 21.12 / 1

Speed of ball = x

Solution

Speed of swimmer = 2.132 m/s

x / 2.132 = 21.12 / 1 Multiply Both sides by 2.132

x = 21.12 * 2.132 / 1

x = 45.02 m/s

Answer

45.02 m/s

8 0

3 years ago

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