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Arisa [49]
3 years ago
9

Miles : 3/5 Hours : 1/3 _____ miles in 1 hour

Mathematics
1 answer:
Fynjy0 [20]3 years ago
7 0

Answer:

9/5 miles in 1 hour

Step-by-step explanation:

As we are finding here the miles distance in 1 hour so we have to use here the formula which is

Rate = Distance / Time

Rate = 3/5 divided by 1/3

SO using third proportion rule we have to change the Numerator of second fraction with denominator and denominator with numerator  and division sign will be change into Multiplication so this one will be

3/5 x 3/1

9/5 will be the answer

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Three students want to estimate the mean word length of the same book. To do this, each student randomly chose 4 words from the
Firlakuza [10]

The solutions to the questions are given below

a)

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25


b)R =0.75

c)

  • The mean of the sample means will tend to be a better estimate than a single sample mean.
  • The closer the range of the sample means is to 0, the more confident they can be in their estimate.

<h3>What is the students are going to use the sample means to estimate the mean word length in the book.?</h3>

The table below shows sample means in the table.

sample(n) word length sample mean

1                    5,4,4,2    3.75

2                    3,2,3,6     3.5

3                         5,6,3,3    4.25

b)

Generally, the equation for is  mathematically given as

variation in the sample means

R =maximum -minimum

R=4.25-3.5

R =0.75

c)

In conclusion, In most cases, the mean of many samples will provide a more accurate estimate than the mean of a single sample.

They may have a higher level of confidence in their estimate if the range of the sample means is closer to 0 than it is now.

Read more about probability

brainly.com/question/795909

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What is 8 divided by 645 in 5th grade
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That equals <u>.0124031008</u>
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3 years ago
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Suppose that the number of bacteria in a certain population increases according to an exponential growth model. A sample of 2600
melisa1 [442]

Answer: There is 3.994% continuous growth rate per hour.

Step-by-step explanation:

Since we have given that

Initial bacteria = 2600

After two and a half hours,

Number of bacteria = 2873

We need to find the continuous growth rate per hour.

As we know the equation for continuous growth rate per hour.

y=y_0e^{rt}\\\\2873=2600e^{2.5r}\\\\\dfrac{2873}{2600}=e^{2.5r}\\\\1.105=e^{2.5r}\\\\\text{Taking log on both the sides}\\\\\ln 1.105=2.5r\\\\0.0998=2.5r\\\\r=\dfac{0.0998}{2.5}\\\\r=0.0399\times 100\\\\r=3.994\%

Hence, there is 3.994% continuous growth rate per hour.

3 0
3 years ago
Quadrilateral KLMN is a rectangle. The coordinates of L are L(1,-4), and the coordinates of Mare M(3,-2). Find the slopes of sid
lozanna [386]
L(1, -4)=(xL, yL)→xL=1, yL=-4
M(3, -2)=(xM, yM)→xM=3, yM=-2

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m LM = ( -2 - (-4) ) / (3-1)
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The quadrilateral is the rectangle KLMN
The oposite sides are: LM with NK, and KL with NK
In a rectangle the opposite sides are parallel, and parallel lines have the same slope, then:
Slope of side LM = m LM = 1 = m NK = Slope of side NK
Slope of side NK = m NK = 1

Slope of side KL = m KL = m MN = Slope of side MN

The sides KL and LM (consecutive sides) are perpendicular (form an angle of 90°), then the product of their slopes is equal to -1:
(m KL) (m LM) = -1
Replacing m LM = 1
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Answer:
Slope of side LM =1
Slope of side NK =1
Slope of side KL = -1
Slope of side MN = -1 
3 0
3 years ago
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