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3 years ago

Carmen is recording the number of points she misses on each math quiz. Here are her results for the lastnine quizzes

Mathematics

1 answer:

luda_lava [24]3 years ago

8 0

Answer:

Range = 7

Mode = 1

Step-by-step explanation:

Given the data

8, 1, 1, 6, 2, 2, 1, 1,8

Range = Highest value in the data - Lowest value in the data

Highest value = 8

Lowest value = 1

Range = 8 - 1

Range = 7

The mode is the data value that is occurring most. from the set of data, we can see that 1 is occurring four times (most frequent). Hence the mode of the data is 1

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givi [52]

Answer:

-3

Step-by-step explanation:

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3 years ago

Wich is equivalent to sqrt10^3/4 x

Sergio039 [100]

Answer:

$( \sqrt[4]{10} ) ^{3x}$

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3 years ago

What is the vertex of a parabola having the equation y = –2(x – 5)2 + 7? Which direction does the parabola open?

Vika [28.1K]

$y = -2(x-5)^2 + 7$

That's vertex form for a parabola $y=a(x-p)^2+q$ and we read off vertex (p,q) as

Answer: Vertex (5,7)

The negative a tells us this is a downward opening parabola (upside down from the usual $y=x^2$ . I remember CUP - Concave Up Positive; here a is negative so not a cup, instead concave down. The same rule applies to second derivatives in calculus so memorize it now and use it later.

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4 years ago

A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following

kiruha [24]

Answer:

After 47 days she will have more than 90 trillion pennies.

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

$1,2,4,8,16,32,.....$

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

$S_n=\dfrac{a(r^n-1)}{r-1}$

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

$\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}$

$\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}$

$\Rightarrow 90\times 10^{12}\le 2^n-1$

$\Rightarrow 2^n\ge 90\times 10^{12}+1$

$\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)$

$\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)$

$\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}$

$\Rightarrow n \ge 46.4$

$\Rightarrow n\approx 47$

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3 years ago

What number would you use to complete the table so that it is a function?Fill in the red question mark

SSSSS [86.1K]

In order to have a function we can't repeat any value in the x, therefore in order to have a function represented in the table the question mark must be 2

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1 year ago