The dot plot represents an order of varying shirt sizes. A number line going from 8 to 26. 0 dots are above 8. 1 dot is above 10
. 3 dots are above 12. 3 dots are above 14. 5 dots are above 16. 4 dots are above 18. 2 dots are above 20. 1 dot is above 22. 1 dot is above 24. 0 dots are above 26. Which histogram represents the same data?
2 answers:
Answer:
The histogram for the given data is shown below.
Step-by-step explanation:
In a dot plot, the dots above a point represent the frequency of that number.
From the given dot plot we can make a frequency table as shown below.
Number Frequency
8 0
10 1
12 3
14 3
16 5
18 4
20 2
22 1
24 1
26 0
In histogram, each bar above a number represents the frequency of that number.
The histogram for the given data is shown below.
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Answer:
Given: A triangle ABC and a line DE parallel to BC.
To prove: A line parallel to one side of a triangle divides the other two sides proportionally.
Proof: Consider ΔABC and DE be the line parallel to Bc, then from ΔABC and ΔADE, we have
∠A=∠A (Common)
∠ADE=∠ABC (Corresponding angles)
Thus, by AA similarity, ΔABC is similar to ΔADE, therefore
AB/AD= AC/AE
⇒AD+DB/AD = AE+EC/AE
⇒1+DB/AD = 1+ EC/AE
⇒DB/AD = EC/AE
Therefore, a line parallel to one side of a triangle divides the other two sides proportionally.
⇒Therefore Proved
Hope this helps!!!
Answer:
Explanation:
One of the applications of scientific notation is to make estimations rounding the whole part of the numbers, i.e. the digits before the decimal point, to the nearest integer, and adding the exponents of the powers of base 10.
Here, you must estimate this product of two numbers written is scientific notation:
Then, for an estimation you round 3.21 to 3 and 1.13 to 1, then multiply 3 × 1 = 3. That will be the coefficient of your new power of 10.
The power or exponent will be the sum of the powers of the numbers that are being multiplied, i.e. 3 + 5 = 8.
And the result is
The unit is meters, so you write your answer as:
Answer:
Part A : The required Profit equation :
Part B : 0.303 million radios the profit became 18 million.
Part C : The graph is attached below.
Step-by-step explanation:
Given : The demand function for a type of portable radio is given by the model , where d is measured in dollars and x is measured in millions of units. The production cost is $25.00 per radio.
Note: Given that profit = revenue - costs
Revenue is demand times number sold.
Costs are productions costs per number sold.
To find :
Part A: Write an equation giving profit as a function of x million radios sold.
Solution : Let x be the number of radios.
Revenue is demand times number sold
Let the cost of x number of radios is 25x.
Profit = Revenue - Costs
The required Profit equation :
Part B : The company currently produces 3 million radios and makes a profit of $18,000,000, but would like to scale back production. What lesser number of radios could the company produce to yield the same profit?
Solution : It is shown graphically which is attached in part c
When we scale back production we get that,
When we sold 0.303 million radios the profit became 18 million.
Part C : Give a graph for the profit and label the parts of the graph.
The graph is attached below which shows the profitable radios points.
