You need 3 sticks of butter for every 24 cookies you bake

1 answer:

3 0

Umm...not sure what your question is, but to make 10 cookies you would need 1.25 sticks of butter, and to make 48 cookies you would need 6 sticks of butter. Hope this helps!

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The number of patients treated at Dr. McCormick’s dentist office each day was recorded for nine days. These are the data: 13, 16

NARA [144]

First, lets sort the list from smallest to greatest. This will help with median, mode, and range.

4, 6, 10, 12, 12, 13, 16, 16, 16

Next, lets find the mean. Mean is found by adding all numbers up, then dividing them by the number of entries in the data set.

$4+6+10+12+12+13+16+16+16 = 105$
$105 / 9 = 11.7$

So the mean is 11.7.

Next, we'll find the median. The median is the value in the center of the list. Because there are 9 values, that means the center of the list is 5 with four numbers on each side of it. The 5th number in the list is 12, so that's our median.

Continuing, the mode is the number or numbers that appears the most often. For this data set, 16 appears 3 times while all other numbers appear 2 times or less. So, the mode is 16.

Lastly, the range is the difference between the largest number and the smallest number.

$16 - 4 = 12$

So the range is 12.

The second answer in the list matches all of these values, and is the correct solution.

7 0

3 years ago

Read 2 more answers

Use four rectangles to estimate the area between the graph of the function f(x) = V3x + 5 and the x-axis on the interval[0, 4] u

yuradex [85]

Answer:

12.123

Step-by-step explanation:

You want the area under the curve f(x) = √(3x+5) on the interval [0, 4] estimated using the left sum and four subintervals.

<h3>Riemann sum</h3>

When the interval [0, 4] is divided into four equal parts, each has unit width. That means the area of the rectangle defined by the curve and the interval width will be equal to the value of the curve at the left end of the interval.

The area we want is the sum ...

f(0) +f(1) +f(2) +f(3)

As the attachment shows, that sum is ...

area ≈ 12.123 . . . square units

<em>Additional comment</em>

The table values in the attachment are rounded to 7 decimal places. Trailing zeros are not shown. Actual values used have 12 significant digits, as the total shows.

Such a sum is called a Riemann sum, named for a German mathematician. Four such sums are commonly used, and further refinements are possible. Those are the left sum (as here), the right sum, the midpoint sum, and a sum using a trapezoidal approximation of the rectangle area.

For left, right, and midpoint sums, n function values are required for n subintervals. When the trapezoidal approximation is used, n+1 function values are required.