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alekssr [168]
3 years ago
14

Calculate the mean. 4, 5, 7, 7, 9, 12, 15, 20

Mathematics
1 answer:
Semmy [17]3 years ago
5 0

Answer:

Mean: 9.875

Median: 8

Mode: 7

Minimum: 4

Maximum: 20

Range: 16

Size: 8

Sum: 79

Step-by-step explanation:

How to find the mean?

1. Count the number N of data points in your data set.

2. Sum up all of the data points in your data set (add them all together).

3. Average = Mean = Sum/N.

How to find the median ?

The median is the numeric value separating the upper half of a sample data set from the lower half. The median of a data set can be found by arranging all the values from lowest to highest value and picking the one in the middle. If there is an odd number of data values then the median will be the value in the middle. If there is an even number of data values the median is the mean of the two data values in the middle.

For the data set 1, 1, 2, 5, 6, 6, 9 the median is 5.

For the data set 1, 1, 2, 6, 6, 9 the median is 4. It is the mean of 2 and 6 or, (2+6)/2 = 4.

How to find the mode

Mode is the value or values in the data set that occur most frequently.  

For the data set 1, 1, 2, 5, 6, 6, 9 the mode is 1 and also 6.

Hope this helps you! :D

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Elin has 1/3 hour to warm up for her gymnastics meet. She must complete each 6 different stretches. She spends an equal amount o
Novay_Z [31]

Answer:

1/18 hr per stretch

Step-by-step explanation:

total # of hrs / # of stretches

1/3 hr / 6 stretches = 1/18 hr per stretch

7 0
3 years ago
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Which statement describes whether a right triangle can be formed using one side length from each of these squares?
balu736 [363]

Answer:

Step-by-step explanation:

The area of the given squares are

Area = 64 in

Area = 225 in

Area = 289 in

The length of each side of a square is determined by finding the square root of its area. For the first square, the length of its side is √64 = 8inches. For the second square, the length of its side is √225 = 15inches. For the third square, the length of its side is √289 = 17inches.

For a right angle triangle to be formed, Pythagorean theorem must be obeyed. Sum of the square of the smaller sides must equal the square of the longer side. Therefore,

8² + 15² = 17²

289 = 289

Therefore, the correct statement is

Yes, a right triangle can be formed because the sum of the areas of the two smaller squares equals the area of the largest square

4 0
3 years ago
2. You plant 48 seeds of a certain flower and 32 of them sprout. Find the
Neko [114]

Answer:

<em>The probability that the next flower seed will sprout is 0.667 or 66.7%</em>

Step-by-step explanation:

<u>Probability</u>

The experimental or empirical probability can be defined as the ratio of the number of times an event occurs to the total number of times the random activity was performed.

It can be calculated as the relative frequency of an event A in a sample space. The question states 32 seeds of a certain flower sprout out of 48 planted seeds. The relative frequency of success is computed as

\displaystyle P(A)=\frac{32}{48}=\frac{2}{3}=0.667

Thus, the probability that the next flower seed will sprout is 0.667 or 66.7%

6 0
3 years ago
Any time Speedy the Sloth is not sleeping, she drinks chamomile tea at a steady rate of 2/7 of a cup per hour. Yesterday, she dr
Nitella [24]

<u><em>Answer:</em></u>

She stayed awake for 295 minutes today

<u><em>Explanation:</em></u>

<u>We are given that:</u>

Yesterday, she drank one cup

Today, she drank \frac{17}{42} of a cup more than yesterday

<u>This means that:</u>

Number of cups she drank today = 1+\frac{17}{42}=1\frac{17}{42}cups

Now, we know that she drinks \frac{2}{7} of a cup per hour any time she is not sleeping

We use cross multiplication to get the time she took to drink 1\frac{17}{42} cups

1 hour ...........................> \frac{2}{7} of a cup

?? hours ......................> 1\frac{17}{42} cups

Time taken = \frac{1\frac{17}{42}*1 }{\frac{2}{7} } = \frac{59}{12} = 4\frac{11}{12} hours

This means that she was awake for 4\frac{11}{12} hours

<u>Finally, we convert this to minutes:</u>

Knowing that 1 hour has 60 minutes, therefore:

She stayed awake for 4\frac{11}{12} * 60 = 295 minutes

Hope this helps :)

8 0
3 years ago
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Dion is playing the game tag with his friend bill they have played the games every day during play time at school for the last 4
Margarita [4]
You would subtract how many times Dion tagged bill with how many times bill tagged Dion, so 12 - 7 = 5
7 0
3 years ago
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