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sertanlavr [38]
2 years ago
14

Help I don't know what to choose

Mathematics
2 answers:
Lunna [17]2 years ago
8 0

Answer:

Step-by-step explanation:

We know a triangle adds up to 180 so:

75+36+ ? = 180

111+ ? =180

? = 69

To find out x, we know that a straight line adds up to 180 so again:

x +69 = 180

x = 111

RSB [31]2 years ago
8 0

Answer:

let the untitled angle be y.

y+75°+36°=180°[by angle sum property]

y+111°=180°

y=180°-111°

y=69°

x+69°=180°[by linear pair]

x=180°-69

x=111°

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2 years ago
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Below is the five-number summary for 136 hikers who recently completed the John Muir Trail (JMT). The variable is the amount of
Fudgin [204]

Answer:

Option B) There were less hikers between Q1 and the median than there were between the median and Q3

Step-by-step explanation:

The given five-number summary is:

Minimum     :     9

Q1                :     18  

Median        :     21  

Q3               :     28  

Maximum    :     56  

Now based on these numbers we will evaluate the given options:

Option A)

Most people finished the JMT within 9 to 56 days, but some took a little longer.

This statement is false because minimum time is 9 days and maximum time is 56 days. This means all of the people finished JMT within 9 to 56 days. As 56 is the maximum, no one took longer than this to finish JMT. Hence, this option is Wrong.

Option B)

There were less hikers between Q1 and the median than there were between the median and Q3

Difference between median and Q1 = 21 - 18 = 3

Difference between Q3 and median = 28 - 21 = 7

So, the given statement is true as there are 3 hikers between Q1 and the median and 7 hikers between the median and Q3. Thus this statement is Correct.

Option C)

Exactly 36 hikers had times ranging from 18 to 21 days

18 days is the Q1 and 21 days represent median. Remember that Q1 is the 25th percentile and Median is the 50th percentile. So 25% of the hikers will have time ranging from 18(25th percentile) to 21 days(50th percentile).

Since, total number of hikers is 136, and 25% of 136 is 34. This means, 34 hikers had times ranging from 18 to 21 days. Thus, this statement is Wrong.

Option D)

At least 36 hikers completed the JMT within 28 to 56 days.

28 days represent Q3, the 3rd quartile or 75th percentile and 56 days represent the maximum value. So there are 25% of the hikers will finish between 28 days and 56 days.

25% of 136 is 34. This means 34 hikers completed the JMT within 28 to 56 days. Therefore, this statement is also wrong.

Hence, option B gives the most accurate description about the given five-number summary.

6 0
3 years ago
I need the complete answer to this problem, please circle the final answer and what I should write
goblinko [34]

Answer:

f(t) = 8400(1.0018)^{12t}

2.22%

Step-by-step explanation:

$8400 is invested in an account earning 2.2% interest (APR), compounded monthly.

So, the value of the account after t years will be given by  

f(t) =  8400 (1 + \frac{2.2}{12 \times 100} )^{12t} = 8400(1.0018)^{12t}        {Rounded to the four decimal places} (Answer)

Now, for t = 1 year, f(1) = $8586.67

So, the percentage of growth per year (APY) = \frac{(8586.67 - 8400) \times 100}{8400} = 2.22% {Rounded to the nearest hundredth of percent} (Answer)

5 0
2 years ago
Equation of a line through (-1,-10) which is parallel to the line y=4x+3 has (need the slope and y intercept ) please help
valina [46]
Parallel lines have the same slope but different y intercepts

Slope: 4
y=4x+b
this is the new equation, plug in the point
-10=4(-1)+B
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8 0
3 years ago
PLSS HELP ME WITH THIS
kolbaska11 [484]

Answer:

127

Step-by-step explanation:

400+1495=1895

1895/15=126.333333333

8 0
2 years ago
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