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marishachu [46]
1 year ago
15

The low temperatures last week, in degrees Fahrenheit, were 30, 35, 40, 41, 42, 45, and 47.

Mathematics
1 answer:
puteri [66]1 year ago
7 0
<h3>Answer:</h3>

40

<h3>Step-by-step explanation:</h3>

The average of a data set is the number "in the middle" of all of the numbers. This is a measurement of the center of a data set. Another word for average is mean.

How to Calculate the Average

The average or mean is calculated by adding all of the values together. Then, divide this sum by the number of data points. For example, if the sum of 5 different data points is 10, then the average would be 10/5.

Finding the Average

Now, let's find the average of this specific data set. First, add all of the data together.

  • 30+35+40+41+42+45+47 = 280

Then, count the number of terms. There are 7 different terms within this data set. So, next divide the sum by the number of terms.

  • 280/7 = 40

This means that the average of the set is 40.

Other Measurements of Center

The mean is not the only measurement of center. There are 3 common measures of center.

  • The mean is found by adding all the terms and then dividing by the number of terms.
  • Another measurement is the median is found by ordering the terms from least to greatest, and then taking whatever number is left in the middle. The median of this set is 41.
  • Finally, the mode is the term that appears the most often. Many times there can be more than one mode. This set has no real mode because all of the terms only appear once.
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Equation of perpendicular line:<br><br> Equation of parallel line:
tamaranim1 [39]

1)Parallel means they have to have the same slope. Since our equation is y=2/3x+1, a line parallel to that would be(using out points) -5=2/3(-4)+b.

To find the y-intercept, solve for "b".

b=-7/3

Our equation would then be y=2/3x-7/3

2)Perpendicular lines have opposite-reciprocal slopes. our previous equation was y=2/3x+1, so our new equation would be -5=-3/2(-4)+b. Now lets solve for b.

b=-11

So our perpendicular equation would be y=-3/2x-11

Hope that was helpful. :)

8 0
3 years ago
At an opening of a new art gallery the owner hired a caterer to serve light snacks. The owner created a budget for 150 people to
Vsevolod [243]

Answer: $357 is more amount budgeted for food increase.

Explanation:

Since we have given that

Number of people according to the budget = 150

Cost of food per person= $4.25

Total cost of food is given by

150\times 4.25=\$637.5

If the number of guests attending the opening was 56% more than expected,

So, number of guests now is given by

150\times 0.56=84\\\\150+84=234

Total cost of food is given by

234\times 4.25=\$994.5

Difference between them is given by

994.5-637.5=\$357

Hence, $357 is more amount budgeted for food increase.

8 0
3 years ago
What is the value of x? <br> 20 <br> 35<br> 60<br> 70
Brilliant_brown [7]

Answer:

20

Step-by-step explanation:

so we know x+40=3x because opposite angles are congruent so if you solve it out you get x=20

5 0
3 years ago
In September, Jerry read for 2/5 of an hour every day for 20 days. How many
Effectus [21]

Answer:

Step-by-step explanation:

- 2/5 of an hour is equal to 24 min

- 24 times 20 is 480 minuets during September

- 480 minuets is 8 hours

7 0
3 years ago
Solve for the equation 4x+5=9
pogonyaev

Answer:

1

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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