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Alchen [17]
3 years ago
12

8 times a number is greater than 64

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
7 0
8n>64
Divide both sides by 8, and you get
n>8
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What is the equation of the quadratic graph with a focus of (8, −8) and a directrix of y = −6?
yarga [219]
The vertex is exactly half way between directrix and focus. In this case the vertex is (8,-7)
               (h,k)

P is the distance between the vertex and either the directrix or focus,  in this case p = 1. 

a = 1/(4p)  or 1/(4*1) or 1/4

write the equation in vertex form

y = a(x-h)^2 + k

y = 1/4(x-8)^2 -7
4 0
2 years ago
From a population of 200,000,000 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is
Talja [164]

Answer:

The standard error of the mean = 2

Step-by-step explanation:

Given that:

The standard deviation σ = 14

The sample size n = 49

The sample mean \overline x = 56

The formula for calculating the standard error can be expressed as:

S.E = \dfrac{\sigma}{\sqrt{n}}

S.E = \dfrac{14}{\sqrt{49}}

S.E = \dfrac{14}{7}

S.E = 2

Therefore, the standard error of the mean = 2

4 0
2 years ago
5 plus the difference of 9 and 4
irakobra [83]
So first, you subtract 9 and 4, which gives you 5. Then, you add that to 5. That gives you 10.
6 0
3 years ago
If f(x) = 2x^3 - 14x^2 + 38x -26 and x-1 is a factor of f(x) find all of the zeros of f(x) algebraically.
Anestetic [448]

Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26

f(1) = 2 - 14 + 38 - 26

f(1) = -12 + 38 = + 26

f(1) = 26 - 26

f(1) = 0

=========================

next perform a long division

x -1  || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

          2x^3 - 2x^2

          ===========

                    -12x^2 + 28x

                     -12x^2 +12x

                     ==========

                                  26x -26

                                  26x - 26

                                 ========

                                      0

Now you can factor 2x^2 - 12x + 26

                                 2(x^2 - 6x + 13)

The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

     =============

                 2

x  = 3 +/- 2i

f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)

The zeros are

1

3 +/- 2i

8 0
3 years ago
REEEEEEEEEEEEEEEEEEEEEEEEEEEE
Anastaziya [24]

Answer:

im not writing all that lol

Step-by-step explanation:

So 1 would be 100%, 10/10 and 0 would be, 0/10 and 0% so for 50% for example would be 5/10, 0.5 and so on..

then just think of things that have a 100% chance and all the other percentages... example The sun rising tomorrow. and no chance 0% example the school flying away

5 0
2 years ago
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