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madam [21]
3 years ago
10

An airplane has a maximum capacity of 118 passengers. The flight attendant has loaded 40 passengers. Which inequality represents

the solution set that the number of passengers, p, that can still load the plane?
A). p is greater then or equal to 68
B). p is less than or equal to 68
C). p is less than or equal to 78
D). p is greater than or equal to 78
Mathematics
1 answer:
kupik [55]3 years ago
7 0

Answer:

118-40=78

p either is less tham or equal to 78

the answer is c

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If the 2 lines are parallel, their slopes are the same.

The slope of both is  
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          2 - 0

If the new line <span>passes through the point (−1, −1), then the equation in point slope form is:

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4 0
3 years ago
The surface areas of two similar solids are 340 yd² and 1,158 yd². The volume of the larger solid is 1,712 yd³. What is the volu
ratelena [41]

The ratio of surface area is equal to the ratio of the square of the corresponding dimensions. And ratio of volumes of two solids is equal to the cube of the ratio of the corresponding dimensions .

We start with the relation between ratio of surface area and ratio of corresponding sides. That is

\frac{340}{1158}=(\frac{x}{y} )^2

Here x and y are the corresponding sides .

\frac{x}{y} =\sqrt{\frac{340}{1158} } =0.542

Let the volume of the smaller one be v

\frac{v}{1712}=0.542^3

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4 0
3 years ago
The resting heart rate of 60 patients is shown in the frequency table below.
Murrr4er [49]

The standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.

<h3>How to determine the standard deviation of the data set?</h3>

The dataset is given as:

Heart Rate  Frequency

60 1

65 3

70 4

75 12

80 8

85 15

90 9

95 5

100 3

Calculate the mean using

Mean = Sum/Count

So, we have

Mean = (60 * 1 + 65 * 3 + 70 * 4 + 75 * 12 +  80 * 8 +  85 * 15 +  90 * 9 +  95 * 5 + 100 * 3)/(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3)

Evaluate

Mean = 82.25

The standard deviation is

\sigma = \sqrt{\frac{\sum f(x - \bar x)^2}{\sum f -1}}

So, we have:

SD = √[1 * (60 - 82.25)^2 + 3 * (65 - 82.25)^2 + 4 * (70 - 82.25)^2 + 12 * (75 - 82.25)^2 + 8 * (80 - 82.25)^2 +  15 * (85 - 82.25)^2 +  9 * (90  - 82.25)^2 + 5 * (95 - 82.25)^2 + 3 * (100 - 82.25)^2)]/[(1 + 3 + 4 + 12 + 8 + 15 + 9 + 5 + 3 - 1)]

This gives

SD = √85.9533898305

Evaluate

SD = 9.27

Hence. the standard deviation is 9.27. The typical heart rate for the data set varies from the mean by an average of 9.27 beats per minute.

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5 0
1 year ago
The average daily maximum temperature in Syracuse is 21.85°C, and the average daily minimum temperature is -4.7°C. The average d
podryga [215]

By applying the definition of difference, we find that the <em>average daily maximum</em> temperature in Syracuse is 26.55 °C higher than the <em>average daily minimum</em> temperature.

<h3>What is the difference between the average daily maximum temperature and the average daily minimum temperature?</h3>

Herein we must find the difference bewteen the two temperatures, defined as the subtraction of the <em>minimum</em> temperature from the <em>maximum</em> temperature:

x = 21.85 °C - (- 4.7 °C)

x = 26.55 °C

By applying the definition of difference, we find that the <em>average daily maximum</em> temperature in Syracuse is 26.55 °C higher than the <em>average daily minimum</em> temperature.

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8 0
2 years ago
Is the answer 4/5 ? Can someone help please ?
Zina [86]

Answer:

m=-\frac{4}{5}

Step-by-step explanation:

We can take 2 arbitrary points in the graph and solve for slope using the formula shown below.

<u>Note:</u> we will use the 2 points (2,-3) & (-3,1)

Where x_1 = 2, y _1 = -3  and  x _ 2 = -3 and y _ 2 = 1

The formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let's plug the numbers and find the slope:

m=\frac{1-(-3)}{-3-2}\\m=\frac{4}{-5}\\m=-\frac{4}{5}

Hence, thsi is the slope.

8 0
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