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3 years ago

Which equation is represented by the table

Mathematics

2 answers:

faltersainse [42]3 years ago

7 0

The 1st equation ( y = 1 - 2x) represents the table:
PROOF:
f(1) =1-2 = -1
f(2) = 1-4 = - 3
f(3) = 1-6 = - 5 , etc..
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Crank3 years ago

6 0

One way of solving this is simply by substituting for each x in the table into each formula to see if you get the corresponding y in the table

so if x is 1,
then in the first equation -> y = 1-2(1) = y= 1-2 = -1
so right off the bat, we found the right equation
but essentially you should do it until you find the one that fits

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Endure all, a manufacturer of batteries claims that the lifetime of their batteries is normally distributed with a mean of 500 h

ycow [4]

Based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

<h3>What are z-scores?</h3>

How closely a value relates to the mean of a set of values is expressed by a Z-score.

The Z-score is created using standard deviations from the mean.

A data point's total value is equal to the mean value when the Z-score of the data point is equal to 0.

So, in order to determine how far the raw score deviates from the mean, the Z score is used.

The following steps are used to determine the Z score:

z = (x - μ)/σ

We know that: x > 550 and μ = 500, σ = 40

z = 550 - 500 / 40

z = 1.25

The graph of the normal distribution indicates:

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

Know more about the z-scores here:

brainly.com/question/25638875

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7 0

1 year ago

1.A pizza place offers 6 different cheeses and 12 different toppings. In how many ways can a pizza be made with 1 cheese and 3 t

NNADVOKAT [17]

1.) You have 12 toppings. You choose one topping--that leaves you with 11 toppings. You choose another--that leaves 10. 12×11×10 = 1,320.
Multiply 1,320 topping choices by 6 cheeses to get 7,920 total combinations.

2.) (Though I'm less sure of these)
CDs: 6×5×4×3×2 = 720
Cassettes: 5×4 = 20
DVDs: 8×7×6×5 = 1680

4 0

3 years ago

Your class has 26 students, which represents 5% of your school's enrollment. Your friend uses the proportion 5/100 =n/26 to find

dedylja [7]

26 is a part of the whole. the proportion should be set up:

(26/x) = (5/100) It's the overall enrollment that is being asked.

If you also need to solve: Cross multiply, 26(100) = 5x, 2600 = 5x, divide both sides by 5, 520 is the enrollment

7 0

3 years ago

Which of the following represents the average rate of change of the function f(x) = 2x - 3

mr Goodwill [35]

Average rate of change, Correct Answer is (0,-3)

5 0

3 years ago

The curve with equation y=e^2x/4+3e^x has one stationary point.find the exact value of the coordinates of this point

Softa [21]

$y=\dfrac{e^{2x}}{4+3e^x}$
$\implies y'=\dfrac{2e^{2x}(4+3e^x)-3e^xe^{2x}}{(4+3e^x)^2}$
$\implies y'=\dfrac{8e^{2x}+3e^{3x}}{(4+3e^x)^2}$

Stationary points occur where the derivative is zero. The denominator is positive for all $x$ , so we only need to worry about the numerator.

$8e^{2x}+3e^{3x}=e^{2x}(8+3e^x)=0$

$e^{2x}>0$ for all $x$ , so we can divide through:

$8+3e^x=0\implies e^x=-\dfrac83$

But $e^x>0$ for all $x\in\mathbb R$ , so this function has no stationary points...

I suspect there may be a typo in the question.

6 0

3 years ago