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ioda
2 years ago
5

A plane that carries mail makes a round trip each day from Chicago to New York. It makes 3 intermediate stops on the way to New

York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis
Mathematics
2 answers:
coldgirl [10]2 years ago
6 0

If we assume that we're measuring altitude from ground level (as opposed to sea level), there will be x-axis touches for ...

  • Chicago (the starting point for the day)
  • stop 1
  • stop 2
  • stop 3
  • New York
  • stop 4
  • Chicago (the ending point for the day)

The graph will touch the horizontal axis 7 times.

Lelechka [254]2 years ago
6 0

Answer:

7 times the graph will touch the horizontal axis

Step-by-step explanation:

It flow from Chicago to first intermediate stop, Number of times on the horizontal axis 1.

1st intermediate stop to 2nd intermediate stop, Number of times on the horizontal axis 2.

2nd intermediate stop to 3rd intermediate stop, Number of times on the horizontal axis 3.

3rd intermediate stop to New York, Number of times on the horizontal axis 5.

Return

New York to 1st intermediate stop, Number of times on the horizontal axis 6.

1st intermediate stop to Chicago, Number of times on the horizontal axis 7.

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According to the manufacturer, about 26% of sour candy in a package of Sandy's Sours are grape. What is the probability that the
Leto [7]

Answer:


Step-by-step explanation:

We assume that there are 100 sour candies, Thus-  

26 % of candy are grape implies that 26% of 100 candies are grape that is equal to 26

Now remaing candies that are not grape are 100-26 = 74

Based on the rule of multiplication:

P(A ∩ B) = P(A)/ P(B|A)  

 In the beginning, there are 26grape candies, probability of choosing first grape candy =  26C1 = 26

 After the first selection, we replace the selected grape candy so there are still 100 candies in the bag P(B|A) =  100C3 = 100 x 99 x 98 x 97!/3! X 97!

= 50 x 33 x 98

So probability =1/ 50 x 33 x 98 x 26

= 1/4204200



8 0
2 years ago
Read 2 more answers
Give an example of a qualitative variable and an example of a quantitative variable (discrete or continuous.) Explain the common
galben [10]

Answer:

Example of qualitative variable: hair colour.

Example of discrete quantitative variable: age.

a) Qualitative data displays are pie charts, histograms

b) Quantitative data displays are scatter and line graphs.

Step-by-step explanation:

A qualitative variable expresses a non-numerical quality of an object or person. For example, hair colour (brown, blonde, red...) or eye colour (green, blue, brown...).

A quantitative variable is a numerical value. For example, temperature (100 K, 2000 K...) or age (12 years, 20 years...).

A discrete quantitative variable can be obtained by counting, like the number of cars in a road. This is plotted in scatter graphs. For continuous variable, it can be obtained by measuring, like the height of your family members. This is plotted in line graphs.

  • Pie charts: is a circular graphic that shows the statistics or number of people or objects with certain characteristics. For example, how many people have brown hair, how many are blonde and how many are redheaded.
  • Histograms: they show vertical bars associated with the qualitative variable in the x-axis and the number of objects or people with that characteristic in the y-axis.
  • Scatter: it is a graph with x and y axis and using Cartesian coordinates. Since it is for quatities, numbers can be represented as points.
  • Line graphs: it is basically the same as a scatter plot but in this case the points can be joined by a line because the quantities are connected or are continuous.
6 0
2 years ago
Read 2 more answers
Josh works for a construction company that uses 150 pounds of gravel for each driveway they pour. He can buy a dump truck load w
Pavlova-9 [17]

Answer:

Josh should by the dump truck with 30,000 pounds of gravel in it

Step-by-step explanation:

the easiest way to find this out is divide 30,000 and 2,500 by 150 and if the answer is a whole number, then you know that is the correct answer.

30,000/150 = 200

2,500/150 = 16.6666666666666

May I have brainliest please? :)

5 0
1 year ago
At the beginning of the summer Matt swim 12 laps. At the end of the summer he could swim 15 laps. What is the percent increase i
aleksandr82 [10.1K]
Percent change = (new number - old number)/(old number) * 100
A positive percent change is a percent increase.
A negative percent change is a percent decrease.

In this problem, we have:
The new number is 15 laps.
The old number is 12 laps.


percent change = (15 - 12)/(12) * 100

percent change = 3/12 * 100

percent change = 25

Since the percent change is positive, +25, it is a percent increase.

Answer: The percent increase is 25%

8 0
2 years ago
If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal
Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that 2x^2+y^2=17

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

4x+2yy'=0

2x+yy'=0

yy'=-2x

y'=-\frac{2x}{y}

Again differentiate w.r.t.x

Then , we get

2+(y')^2+yy''=0 (u\cdot v)'=u'v+v'u)

2+(y')^2+yy''=0

Using value of y'

yy''=-2-(-\frac{2x}{y})^2

y''=-\frac{2+(-\frac{2x}{y})^2}{y}

Substitute x=2 and y=3

Then, we get y''=-\frac{2+(\frac{4}{3})^2}{3}

y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}

Hence,y''=-1.26

6 0
2 years ago
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