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3 years ago

HELP ME! Look at the stem-and-leaf plot. What is the mode of the numbers?

Mathematics

1 answer:

S_A_V [24]3 years ago

7 0

Given:

The stem-and-leaf plot or a date set.

To find:

The mode of data set.

Solution:

From the given stem-and-leaf plot, we get the numbers of the data set.

64, 67, 70, 70, 71, 75, 76, 78, 78, 80, 82, 82, 88, 91, 93, 94, 97, 98, 100, 100, 100

Mode of a date set is the most frequent value.

In the given data set the most frequent value is 100 with frequency 3.

Therefore, the mode of data set is 100. Hence, option A is correct.

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Find the critical points, domain endpoints, and local extreme values for the function

aliina [53]

Answer:

a) $x = -3$ , b) $x = 0$ , $x = -6$ , c) $x = 0$ , d) $x = -6$

Step-by-step explanation:

a) Let derive the function:

$f'(x) = \frac{10\cdot x \cdot (x+3)-5\cdot x^{2}}{25\cdot (x+3)^{2}}$

$f'(x)$ is undefined when denominator equates to zero. The critical point is:

$x = -3$

b) $f'(x) = 0$ when numerator equates to zero. That is:

$10\cdot x \cdot (x+3) - 5\cdot x^{2} = 0$

$10\cdot x^{2}+30\cdot x -5\cdot x^{2} = 0$

$5\cdot x^{2} + 30\cdot x = 0$

$5\cdot x \cdot (x+6) = 0$

This equation shows two critical points:

$x = 0$ , $x = -6$

c) The critical points found in point b) and the existence of a discontinuity in point a) lead to the conclusion of the existence local minima and maxima. By plotting the function, it is evident that $x = 0$ corresponds to a local maximum. (See Attachment)

d) By plotting the function, it is evident that $x = -6$ corresponds to a local minimum. (See Attachment)

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3 years ago

A pack of bottled water cost 2.40 and eight pack of bottled water cost 3.20 which is the better deal

Monica [59]

an eight pack because you get more water and its cheaper that way

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3 years ago

Read 2 more answers

How do I convert 12mi/hr = ? Ft/hr

Blizzard [7]

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2 years ago

Find the lengths of the segments with variable expressions.

Luba_88 [7]

Answer:

Step-by-step explanation:

By the trapezoid midsegment theorem,

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2x = 3x - 14

x = 14

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2 years ago

Thank you so much. (20 characters required)

padilas [110]

#3.
√18²-5.7² Second Choice

#4
l²=5²+4² = 25+16 = = 41
l=√41
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Second Choice

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3 years ago