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3 years ago

If you could please kindly help :D

Mathematics

1 answer:

BartSMP [9]3 years ago

7 0

Answer:

y = -1/2 ( x − 4 )^2 + 8

Step-by-step explanation:

First find the vertex form

y = a ( x − h )^ 2 + k where ( h,k) is the vertex

The vertex is ( 4,8)

y = a ( x − 4 )^2 + 8

Now we need to determine a

Pick a point on the graph (0,0)

and substitute this point into the equation

0 = a ( 0 − 4 )^2 + 8

0 = a (16) +8

-8 = 16a

-8/16 =a

-1/2

y = -1/2 ( x − 4 )^2 + 8

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Function and Reasoning:

Akimi4 [234]

The number of calories per ounce of soda is 10

<h3>Part A: Represent the relationship between the number of calories and the number of ounces</h3>

The given parameters are:

Calories = 50

Ounces = 5

Let the number of calories be y and the ounces be x.

So, we have:

y = kx

Substitute y = 50 and x = 5

50 = 5k

Divide by 5

k = 10

Substitute k = 10 in y = kx

y = 10x

See attachment for the graph of the relationship between the number of calories and the number of ounces

<h3>Part B: What is the number of calories per ounce of soda?</h3>

In (a), we have:

k = 10

This means that the number of calories per ounce of soda is 10

<h3>Part C: How does the unit rate relate to the slope of the line in the graph above? </h3>

The unit rate and the slope represent the same and they have the same value

Read more about linear graphs at:

brainly.com/question/4025726

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4 0

2 years ago

If p(a|b) = 0.35, p(b) = 0.75 and p(a) = 0.44 are the events a and b independent ?

MatroZZZ [7]

Hello :
note 1 :
p(A|B) = p(A∩B)/<span> p(B)

note 2 :
</span> A and B independent: p(A∩B) = p(A)×p(B)
calculate : p(A∩B)
p(A∩B) = p(A|B)×p(B)
p(A∩B) = 0.35 ×0.75 = 0.2625
but : p(A)×p(B) = 0.44×0.75 = 0.33
conclusion :
<span>the events A and B are not independent ?</span>

6 0

3 years ago

You want to obtain a sample to estimate a population proportion. At this point in time, you have no reasonable estimate for the

Vedmedyk [2.9K]

Answer:

416025

Step-by-step explanation:

For confidence interval of 99%, the range is (0.005, 0.995). Using a z-table, the z-score for 0.995 is 2.58.

Margin of error = 0.2% = 0.002.

Proportion is unknown. So, worse case proportion is 50%. p = 50% = 0.5.

\\ $n = \left(\frac{\texttt{z-score}}{\texttt{margin of error}} \right )^2\cdot p\cdot (1-p) \\ = \left(\frac{2.58}{0.002} \right )^2\cdot 0.5\cdot (1-0.5)=416025$

So, sample size required is 416025.

4 0

3 years ago

Please help eaeaeeaeaeaeaeaeaea

fenix001 [56]

Answer:

12/5

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Mariana tried to drink a slushy as fast as she could.She drank the slushy at a rate of 4.5 miliiliter per second.After 17 second

umka21 [38]

Since she drank 4.5 mm of slushy per second, she continued to drink for 17 seconds so 4.5•17=76.5 Now that you have how much she drank, add that to how much is remaining (148.5) and the original amount that she drank; the answer is 225 milliliter of slushy

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3 years ago