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Alex787 [66]
3 years ago
11

The minute hand of a clock is 7 inches long. How far does the tip of the minute hand move in 5 minutes? If necessary, round the

answer to two decimal places.
A)3.67 inches

B)4.9 inches

C)6.18 inches

D)1.93 inches
Mathematics
1 answer:
FromTheMoon [43]3 years ago
6 0

The movement of the minute hand is circular.

Tangence speed is V=2Rπ/T= 2*7*3.14/3600 inches/sec=0.012211 inches/sec

The path (distance) that minute hand past is D=V*t = 0.012211 * 5 min= 0.012211 * 300sec=>

D=3.663≈3.66 inches

Good luck!!!

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dalvyx [7]
Month*
divide 840 with 12
as 1 year has 12 months
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so the family spends $70 every month
4 0
3 years ago
A livestock company reports that the mean weight of a group of young steers is 1143 pounds with a standard deviation of 88 pound
malfutka [58]

Answer:

<em>a) P(x<1200)=74.14%</em>

<em>b) P(1100<X<1250)=57.54%</em>

Step-by-step explanation:

<u>Normal Distribution</u>

The normal distribution, also known as the bell curve, is a distribution that occurs naturally in many situations of life. We use the model N(\mu,\sigma) to understand the behavior of some real-life variables. Where \mu is the mean value and \sigma is the standard deviation.

In our case, we have

\mu=1143,\ \sigma=88

And are required to find the percentage of steers whose weigh lie within a given range. We must use some sort of table or digital means to compute the values because the normal distribution cannot be calculated directly by a formula. We use the NORMDIST (or NORM.DIST) formula for Excel which gives us the left tail of the area behind the bell curve, i.e. the cumulative percentage for a give value of X. The formula has the form

NORM.DIST(x,mean,standard_dev,cumulative)

a) X<1200

The formula is used with the following parameters

NORM.DIST(1200,1143,88,true)

and we get

P(X

b) We need to compute P(1100<X<1250). To do this, we calculate both left tails and the subtract them

NORM.DIST(1100,1143,88,true)=0.3125

NORM.DIST(1250,1143,88,true)=0.8880

P(1100

\boxed{P(1100

6 0
3 years ago
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or n
tia_tia [17]

Answer:

Positive correlation.

Step-by-step explanation:

The miles per hour increases as the cycling speed increases.

7 0
3 years ago
Which method can be used to find the area of the composite shape? 2 semicircles on each side of a rectangle. Decompose the figur
Eduardwww [97]

Answer:

Decompose the figure into two semicircles and one rectangle and add the areas.

Step-by-step explanation:

A composite shape is a given shape that comprises more than a plane figure. The total area is determined by addition of separate areas of figures making up the composite figure.

When two semicircles are included on the two sides of a rectangle, a composite figure is formed. To determine its area, calculate the individual areas of each semicircle and rectangle, then add the values.

Therefore, decompose the figure into two semicircles and one rectangle and add the areas is the accurate answer.

3 0
3 years ago
Read 2 more answers
The scores on a test are normally distributed with a mean of 80 and a standard deviation of 16. What is the score that is 2 stan
galina1969 [7]

The deviation from 80 of about 16 is normal.

So the lowest is usually 80 - 16 = 64 and the highest is 80 + 16 = 96

But now we have a "deviation" that is 2 standard deviations above the mean score.

So 80 + 16 + 16 = 112 is this score.

Hope this helps.

r3t40

4 0
3 years ago
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