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uranmaximum [27]
2 years ago
12

The number of hours a group of contestants spends preparing for a quiz show is listed below. What is the frequency table that re

presents that data?
8 12 25 32 45 50 62 73 80 99 4 18 9 39 36 67 33
Mathematics
1 answer:
harkovskaia [24]2 years ago
8 0
I'll just show you how to make a frequency table using the above data. 
We will group the data into class intervals and determine the frequency of the group.

<span>8 12 25 32 45 50 62 73 80 99 4 18 9 39 36 67 33
</span>
smallest data value = 4
highest data value = 99
difference = 99 - 4 = 95
number of data = 17

Let us assign a class interval of 20.

Class Interval     Tally                              Frequency
0-20                    8, 12, 4, 18, 9,                     5
21-40                25, 32, 39, 36, 33                 5 
41-60                45, 50, 67                              3
61-80                62, 73, 80                              3
81-100              99                                           1

That is how a frequency table look like. Usually, under the Tally column, tick marks are written instead of the numbers but for easier monitoring, I used the numbers in the data set.
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Which statements are true regarding the area of circle
Pavlova-9 [17]

<u>Question:</u>

Which statements are true regarding the area of circle D? Select two options.

The area of the circle depends on the square of the radius.

The area of circle D is 36Pi centimeters squared.

The area of circle D is 324Pi centimetres squared

The area of the circle depends on the square of pi.

The area of the circle depends on the central angle.

<u>Answer:</u>

<u>The following statements are true regarding the area of circle D: </u>

  • The area of the circle depends on the square of the radius
  • The area of circle D is 324Pi centimeters

<u>Step-By-Step Explanation:</u>

As we know, the formula for area of the circle is given by,

             A=\pi r^{2}

Where, r = radius of the circle. In figure, CD = radius = 18 cm

So, the circle area can be measured as

            A=\pi(18)^{2}=324 \pi \mathrm{cm}^{2}

From this, concluding that the circle area depends on radius square and its value is 324 \pi \mathrm{cm}^{2}. Hence, the statement given in option A and C are correct (reveals that option B is incorrect).  

As the Pi is constant, the circle radius cannot depend on Pi value and Option D also incorrect. The area of sector of circle only depends on ratio of central angle to entire circle (So option E also incorrect).

6 0
1 year ago
Read 2 more answers
A packet contains 1.5kg of oats.
Vlad1618 [11]
1.5kg is 1500 grams.
Maria uses 50g a day, so to know how many days takes eating the whole packet just divide 1500 by 50.
4 0
2 years ago
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In 2011, the world's largest pumpkin weighed 825 kilograms. An average-sized pumpkin weighs 5,000 grams. The 2011 world-record p
zzz [600]
1000 g = 1 kg
5,000 g = 5 kg
825 kg - 5 kg = 820 kg

<span>The 2011 world-record pumpkin weighs __820 kg___ kilograms more than an average-sized pumpkin. </span>
6 0
2 years ago
Drag each situation to show whether it can be modeled using a linear or an exponential function. If the situation cannot be mode
lawyer [7]

Answer:

Step-by-step explanation:

A). An investment account earns 2.8% simple interest.

    Since investment amount increases every year linearly, therefore, the modeled situation represents a LINEAR FUNCTION.

B). The price of a stock varies by 2.8% each week.

    Since price of the stock may increase or decrease every week, therefore, this situation can't be modeled by any function.

Therefore, the answer is NEITHER.

C). An investment account earns 2.8% compound interest, compounded monthly.

Formula to get the value of the final amount in the account is,

Final value = Initial value × (1+\frac{.028}{100})^t

Here 't' = Duration of investment

It's an EXPONENTIAL FUNCTION.

3 0
2 years ago
A ladder reaches a window 20 feet above the ground. The foot of the ladder is 4 feet from the wall. Which of the following measu
VMariaS [17]
20.40 ft^{2}

When this situation is drawn out, it forms a right triangle (as shown in the attached image). The sides that are given are the two legs of the triangle. The side that is missing is the hypotenuse. The missing side can be found using the pythagorean theorem: a^{2} +  b^{2} =  c^{2}

A = 20 
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C = ?

This process is shown in the attached image. The length of the missing side (ladder) rounded to the nearest hundredth is 20.40ft^{2}

6 0
2 years ago
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