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kakasveta [241]
2 years ago
15

The function f(x) = −x2 + 16x − 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the number

of candles sold, and f(x) is the amount of profit.
Part A: Determine the vertex. What does this calculation mean in the context of the problem?

Part B: Determine the x-intercepts. What do these values mean in the context of the problem?

Mathematics
2 answers:
castortr0y [4]2 years ago
5 0
I wrote it out on paper and uploaded the answer for you. Let me know if you have any questions.

natima [27]2 years ago
5 0

Answer

the vertex is the maximun and the coordinates are 4 and 10

Step-by-step explanation:

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A random sample of 49 statistics examinations was taken. the average score, in the sample, was 84 with a variance of 12.25. the
tester [92]

Since in this case we are only using the variance of the sample and not the variance of the real population, therefore we use the t statistic. The formula for the confidence interval is:

<span>CI = X ± t * s / sqrt(n)                      ---> 1</span>

Where,

X = the sample mean = 84

t = the t score which is obtained in the standard distribution tables at 95% confidence level

s = sample variance = 12.25

n = number of samples = 49

From the table at 95% confidence interval and degrees of freedom of 48 (DOF = n -1), the value of t is around:

t = 1.68

 

Therefore substituting the given values to equation 1:

CI = 84 ± 1.68 * 12.25 / sqrt(49)

CI = 84 ± 2.94

CI = 81.06, 86.94

 

<span>Therefore at 95% confidence level, the scores is from 81 to 87.</span>

6 0
3 years ago
I forgot how to do this​
adoni [48]

Answer:

\boxed{ \bold{  \huge{ \boxed{ \sf{1}}}}}

Step-by-step explanation:

\sf{ \frac{1}{2}  \times 2}

Multiply the numerators for the numerator and multiply the denominators for its denominator and reduce the fraction obtained after multiplication into lowest term.

\dashrightarrow{ \sf{ \frac{1 \times 2}{2 \times 1} }}

\dashrightarrow{ \sf{ \frac{2}{2} }}

\dashrightarrow{ \sf{1}}

Or, You can simply reduce the fraction with 2, which results to 1.

Hope I helped!

Best regards! :D

6 0
3 years ago
Solve the equation 3(x+2)=5(x-2)​
Sladkaya [172]

Answer:

<em><u>3</u></em><em><u>(</u></em><em><u> </u></em><em><u>x </u></em><em><u>+</u></em><em><u> </u></em><em><u>2</u></em><em><u> </u></em><em><u>)</u></em><em><u>. </u></em><em><u>=</u></em><em><u> </u></em><em><u>5</u></em><em><u>(</u></em><em><u> </u></em><em><u>x </u></em><em><u>-</u></em><em><u> </u></em><em><u>2</u></em><em><u>)</u></em>

<em><u>3</u></em><em><u>x</u></em><em><u> </u></em><em><u>+</u></em><em><u> </u></em><em><u>6</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>5</u></em><em><u>x</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>1</u></em><em><u>0</u></em>

<em><u>-2x </u></em><em><u>=</u></em><em><u> </u></em><em><u>-</u></em><em><u> </u></em><em><u>1</u></em><em><u>6</u></em><em><u> </u></em>

<em><u>minus,</u></em><em><u>minus </u></em><em><u>cancel</u></em>

<em><u>x </u></em><em><u>=</u></em><em><u> </u></em><em><u>1</u></em><em><u>6</u></em><em><u>/</u></em><em><u>2</u></em><em><u> </u></em>

<em><u>x </u></em><em><u>=</u></em><em><u> </u></em><em><u>8</u></em><em><u> </u></em>

8 0
2 years ago
Read 2 more answers
A circular piece of metal has a radius of 3.5 meters.
prisoha [69]
1) we calculate the area of the circular piece of metal.
area=πr²
area=π(3.5 m)²=12.25π m² ≈ 38.48 m²

2)we calculate the total cost of the circular piece of meta by the rule of three.

$3.25-------------------1 m²
x--------------------------38.48 m²

x=($3.25 * 38.48m²) / 1 m²=125.06$

Answer: 125.06$

We can also  calcultate the total cost of the ciucular piece of metal by the ratius.
Ratius=$3.25/1m²

Total cost=ratius * area of the circular piece of metal.
total cost=($3.25/ m²)*(38.48 m²)=$125.06

Answer: $125.06
4 0
3 years ago
Explain how you know that 88 is a solution to the equation 1/8x=11
zhuklara [117]
Rearrange the equation so that x = 11 divided by 1/8
Solve for x (11 divided by 1/8 = 88)
5 0
2 years ago
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