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4 years ago

Your score on a test is 110 % What does this mean?

1 answer:

5 0

The average score in the United States is 100 About two-thirds of Americans have a score between 85 and 115, so this basically means that you fit into that average group, and probably have a lot of knowledge than others

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If 7 is the mean of 10,3,4,a,6,9 and 10.find the value of a

nydimaria [60]

Answer:

a = 7

Step-by-step explanation:

I think, what you need to do, is first understand how to find the mean of anything: It's quite simple, actually, just add up all the numbers, then divide that number by the number of numbers. So, let's put it in perspective:

10, 3, 4, a, 6, 9, 10

7 is the mean. 7 is the number of numbers.

If, to find the mean is: 10 + 3 + 4 + a + 6 + 9 + 10= 7a ÷ 7, then: 10 +3 + 4+ 6 + 9 +10= 42

42 plus what divided by 7 is the question now.

42 + a ÷ 7= 7

So, 7 times 7, that's 49 minus 42 and you've got your answer: 7

8 0

3 years ago

What is the expression in factored form?

san4es73 [151]

Answer: (4x + 3) (x + 2)

Step-by-step explanation:

We can rewrite 4x² + 11x + 6 as 4x² + 8x + 3x + 6

Since 4x² + 11x + 6 = 4x² + 8x + 3x + 6

= (4x + 3) (x + 2)

6 0

3 years ago

Read 2 more answers

How many 5-digit personal identification numbers are possible if the number cannot contain a

nadezda [96]

Answer:

59049 digits

Step-by-step explanation:

Given

Digits = 0 to 9

Required

Determine number of 5 digit pins that must not contain 0

There are 10 digits.

Since the pin must not contain 0, there are 9 digits left to select from.

The question didn't state that a digit can not be repeated, so I'll assume that repetition of digit is allowed.

The 1st digit of the 5 could be any of the 9 digits

The 2nd could be any of the 9 digits

The 3rd could be any of the 9 digits

The 4th could be any of the 9 digits

The 5th could be any of the 9 digits

Hence, number of selection is calculated as this:

Selection = 9 * 9 * 9 * 9 * 9

Selection = 59049

3 0

3 years ago

Find the dimensions of a rectangle (in m) with area 1,000 m2 whose perimeter is as small as possible. (Enter the dimensions as a

Amanda [17]

The perimeter of the rectangle is the sum of its dimensions

The dimensions that minimize the perimeter are $\mathbf{10\sqrt{10 },10\sqrt{10 }}$

The area is given as:

$\mathbf{A = 1000}$

Let the dimension be x and y.

So, we have:

$\mathbf{A = xy = 1000}$

Make x the subject

$\mathbf{x = \frac{1000}{y}}$

The perimeter is calculated as:

$\mathbf{P = 2(x + y)}$

Substitute $\mathbf{x = \frac{1000}{y}}$

$\mathbf{P = 2(\frac{1000}{y} + y)}$

Expand

$\mathbf{P = \frac{2000}{y} + 2y}$

Differentiate

$\mathbf{P' = -\frac{2000}{y^2} + 2}$

Set to 0

$\mathbf{ -\frac{2000}{y^2} + 2 = 0}$

Rewrite as:

$\mathbf{ -\frac{2000}{y^2} = -2}$

Divide both sides by -1

$\mathbf{\frac{2000}{y^2} = 2}$

Multiply y^2

$\mathbf{2000 = 2y^2}$

Divide by 2

$\mathbf{1000 = y^2}$

Take square roots of both sides

$\mathbf{y = \sqrt{1000 }}$

$\mathbf{y = 10\sqrt{10 }}$

Substitute $\mathbf{y = \sqrt{1000 }}$ in $\mathbf{x = \frac{1000}{y}}$

$\mathbf{x = \frac{1000}{\sqrt{1000}}}$

$\mathbf{x = \sqrt{1000}}$

$\mathbf{x = 10\sqrt{10 }}$

Hence, the dimensions that minimize the perimeter are $\mathbf{10\sqrt{10 },10\sqrt{10 }}$