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nasty-shy [4]
3 years ago
13

For the function given, state the middle line: ƒ(t) = 3 cos(π t − 1).

Mathematics
1 answer:
kozerog [31]3 years ago
8 0
Cos (πt - 1) oscilates periodically between -1 and +1.

3Cos (πt - 1) oscilates periodically between -3 and +3.

The x-axis is the middle line. The equation of the x-axis is y = 0.

So the, the middle line is y=0.
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The weights, in pounds, for 15 horses in a stable were
sweet-ann [11.9K]

The median value remains unchanged if the four values are reported using the corrected weight.

The correct answer is an option (B)

We know that the mean is calculated by finding the sum of all the weights of the horses and then dividing by the number of horses.

Decreasing one of the weights would decrease the sum and therefore decrease the mean.

So, the choice A is incorrect.

We know that the range is the difference between the highest and lowest weights, so decreasing the lowest weight would increase the range.

So, the choice C is incorrect.

We know that the Standard deviation is calculated based on the mean weight of the horses.

And decreasing one of the weights decreases the mean and therefore would affect the standard deviation.

So, the choice D is incorrect.

Now, as we know the median the middle value in a sorted, ascending or descending list of values.

So, the median weight is found by ordering the horses’ weights from least to greatest and then determining the middle value from this list of weights.

Decreasing the value for the horse with the lowest weight doesn’t affect the median since it’s still the lowest value.

Therefore, the median value remains unchanged if the four values are reported using the corrected weight.

The correct answer is an option (B)

Learn more about the median here:

brainly.com/question/28060453

#SPJ4

7 0
1 year ago
The distance on a bike path between Westfield and Southborough is 46 mi. Tracey leaves Westfield heading to Southborough cycling
ipn [44]

Answer: 2 hr.

Explanation: Think back to rate of change. <em>d</em> = <em>rt</em>, <em>r</em> = <em>d/t</em>, <em>t</em> = <em>d/r</em>. In this case, we will be using <em>d</em> = <em>rt</em>. Mph would be <em>r</em>, rate, so you would categorize 15 mph and 8 mph under rate. <em>t</em> should represent the time each cyclist traveled. Tracey's and Emma's distance, <em>d</em>, would be the same as their mph, hence Tracey's being 15<em>t</em> and Emma's would be 8<em>t</em>. When you add Tracey's distance plus Emma's distance, you end up with 46 mi. Now, you need to combine like terms, which should look like 15<em>t</em> + 8<em>t </em> = 46. Add 15 and 8 to get 23, so it should be 23<em>t</em> = 46 now. Then, divide both sides of the equation by 23 and now you should have your answer, <em>t</em> = 2 hr.

8 0
3 years ago
Read 2 more answers
Solve the equation.<br> a² = 100<br> Enter the correct answer in the boxes.<br> a = 10 or a = ?
Lyrx [107]
A = 10 or a = -10

When you square a number, you're essentially multiplying it by itself.

Recall that multiplying two negative numbers will result in a positive numbers. Knowing this, we know that -10 times -10 equals 100.
7 0
3 years ago
Find the value of x sum of angle measures 360
nlexa [21]

Answer:

x =120

60,60,120,120

Step-by-step explanation:

The sum of the angles  is 360

x + x+ 1/2x + 1/2x = 360

Combine like terms

3x = 360

Divide each side by 3

3x/3 =360/3

x =120

The 4 angles are 120, 120,60,60

From least to greatest

60,60,120,120

4 0
3 years ago
Read 2 more answers
a teacher asked 3 pupils to choose any 2 digit number square it and then find the remainder after dividing the result by 7. Dori
gizmo_the_mogwai [7]
First write out all the two digit square numbers

4² = 16
5² = 25
6² = 36
7² = 49
8² = 64
9² = 81

Next divide all of them by 7

16/7 = 2 2/7 or 2 and 2 remainders
25/7 = 3 4/7 or 3 and 4 remainders
36/7 = 5 1/7 or 5 and 1 remainder 
49/7 = 7
64/7 = 9 1/7 or 9 and 1 remainder
81/7 = 11 4/7 or 11 and 4 remainders

This tells us that the only possible remainders for a two digit square number divided by 7 are 1, 2 and 4
If Doris got 6 and Horace got 3, they must have made a mistake.
4 0
3 years ago
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