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3 years ago

Plot 5 parabolas, one through each set of color-coordinated points. (image attached)

Mathematics

1 answer:

Ahat [919]3 years ago

8 0

Answer:

Red: y=(x+6)^2-1

Blue: y=-(x+3)^2+1

Green: y=(x^2-1)

Orange: y=-(x-3)^2+1

Purple: y=(x-6)^2-1

Step-by-step explanation:

Use Desmos to check

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A sample of 11 students using a Ti-89 calculator averaged 31.5 items identified, with a standard deviation of 8.35. A sample of

lina2011 [118]

Answer:

We reject H₀, with CI = 90 % we can conclude that the mean numbers of times identified with Ti-84 does not exceed that of the Ti-89 by more than 1,80

Step-by-step explanation:

Ti-89 Calculator

Sample mean x = 31,5

Sample standard deviation s₂ = 8,35

Sample size n₂ = 11

Ti-84 Calculator

Sample mean y = 46,2

Sample standard deviation s₁ = 9,99

Sample size n₁ = 12

t(s) = ( y - x - d ) / √s₁²/n₁ + s₂²/n₂

t(s) = 12,9 / √(99,8/12) + (69,72/11)

t(s) = 12,9 / √8,32 + 6,34

t(s) = 12,9 / 3,83

t(s) = 3,37

Test Hypothesis

Null Hypothesis H₀ y - x > 1,80

Altenative Hypothesis Hₐ y - x ≤ 1,80

We have a t(s) = 3,37

We need to compare with t(c) critical value for

t(c) α; n₁ +n₂-2 df = 12 +11 -2 df = 21

If we choose CI = 95 % then α = 5 % α = 0,05

From t-student table

t(c) = 1,72

t(s) = 3,37

t(s) >t(c)

t(s) is in the rejection region therefore we accept Hₐ with CI = 95 %

8 0

3 years ago

Find the value of x at which the function has a possible relative maximum or minimum point. (Recall that e Superscript x is pos

shutvik [7]

Answer:

x= -11/4 is a maximum.

Step-by-step explanation:

Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that

$f'(x)= -e^{-4x}(11+4x)$

And then we get that if $11+4x = 0$ then $x = -11/4$ . So it has a critical point at $x = -11/4$ .

Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.

Since

$f''(x) = 8e^{-4x} (5+2x)\\f''(-11/4) = -239496.56$

x= -11/4 is a maximum.

6 0

3 years ago

I have 1 hundreds, 9 tens, 9 ones, 8 tenths and 1 hundredths. What number am I?

kkurt [141]

<span>Answer: 199.81
Given:
1 hundred
9 tens
9 ones
8 tenths
1 hundredths
thus;
1 hundred = 1 x 100 = 100
9 tens = 9 x 10 = 90
9 ones = 9 x 1 = 9
8 tenths = 8 x 1/10 = 8/10 or .8
1 hundredth = 1 x 1/100 = 1/100 or .01

add: 100 + 90 + 9 + .8 + .001 = 199.81
That is: one hundred ninety-nine and eighty-one hundredths</span>

8 0

3 years ago

What is the sum of the polynomials?<br><br> (7x^3 – 4x^2) + (2x^3 – 4x^2)

AVprozaik [17]

(7x^3 – 4x^2) + (2x^3 – 4x^2)
Add 2x^3 to 7x^3
(9x^3 - 4x^2) + (-4x^2)
Add -4x^2 to -4x^2. This would be the same as subtracting 4x^2 from -4x^2
Final Answer: 9x^3 - 8x^2

*The answer cannot be broken down anymore. It's in it's simplest form.

6 0

3 years ago

Could anyone check me on this? Please correct me if I’m wrong,thank u :D

azamat

You are right the answer is A

6 0

3 years ago