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lora16 [44]
3 years ago
5

While riding on a carousel, Angela travels a distance of 65 meters every 15 seconds. What is her speed in kilometers per hour? A

. 3.9 km/hr B. 14.4 km/hr C. 15.6 km/hr D. 156.0 km/hr
Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
5 0
C - 15.6

65 meters = 0.065
0.065 x 4 = 0.26 (in 1 minute)
0.26 x 60 = 15.6 (in a hour)
15.6km per hour
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Which fraction is equivalent to 1/2 • 4/3 divided by 5/6 ?
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I believe the answer you are looking for is 4/5.

Solution:

1/2 • 4/3=2/3

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3 years ago
Intravenous fluid bags are filled by an automated filling machine. Assume that the fill volumes of the bags are independent, nor
kenny6666 [7]

Answer:

a) 0.0167

b) 0

c) 5.948

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 6.16 ounces

Standard Deviation, σ = 0.08 ounces

We are given that the distribution of fill volumes of bags is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) Standard deviation of 23 bags

\displaystyle\frac{S.D}{\sqrt{23}} = \frac{0.08}{\sqrt{23}} = 0.0167

b) P( fill volume of 23 bags is below 5.95 ounces)

P(x < 5.95)

P( x < 5.96) = P( z < \displaystyle\frac{5.95 - 6.16}{0.0167}) = P(z < -12.57)

= 1 - P(z < 12.57)

Calculation the value from standard normal z table, we have,  

P(x < 5.95) = 1 - 1 = 0

c) P( fill volume of 23 bags is below 6 ounces)  = 0.001

P(x < 6)  = 0.001

P( x < 6) = P( z < \displaystyle\frac{6 - \mu}{0.0167})

Calculation the value from standard normal z table, we have,  

P( z \leq -3.09) = 0.001

\displaystyle\frac{6 - \mu}{0.0167} = -3.09\\\\\mu = 6 + (0.0167\times -3.09) = 5.948

If the mean will be 5.948 then the probability that the average of 23 bags is below 6.1 ounces is 0.001.

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3 years ago
How fast is a car going if its mass is 1000 kg and the force acting on it is 154 N?
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Answer:

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Step-by-step explanation:

Only external forces affect the motion of a system, according to Newton's first law. ... force applied to a car produces a much smaller acceleration than when ... Newton's second law states that a net force on an object is responsible for its ... A 1.0-kg mass thus has a weight of 9.8 N on Earth and only about 1.7 N on the Moon.

3 0
3 years ago
Which of the following functions is graphed below
Ratling [72]

The function that is graphed is y = |x -2| + 3. The correct option is D. y = |x -2| + 3

<h3>Absolute value graph</h3>

From the question, we are to determine the function for the given graph

From the graph,

When x = 2, y = 3

The equation that satisfy this condition is

y = |x -2| + 3

NOTE: This function satisfies all the points on the graph

Hence, the function that is graphed is y = |x -2| + 3

Learn more on Absolute value graph here: brainly.com/question/17082317

#SPJ1

8 0
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