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77julia77 [94]
2 years ago
14

The data displayed by the graph indicate that in 2000,

Mathematics
1 answer:
MrMuchimi2 years ago
7 0

Using an linear function, we find that by 2020 only 11% of all American adults believe that most qualified students  get to attend college.

-----------------------------------------

A decaying linear function has the following format:

A(t) = A(0) - mt

In which

  • A(0) is the initial amount.
  • m is the slope, that is, the yearly decay.

  • In 2000, 45% believed, thus, A(0) = 45
  • Decaying by 1.7 each year, thus m = 1.7.

The equation is:

A(t) = 45 - 1.7t

It will be 11% in t years after 2000, considering t for which A(t) = 11, that is:

11 = 45 - 1.7t

1.7t = 34

t = \frac{34}{1.7}

t = 20

2000 + 20 = 2020

By 2020 only 11% of all American adults believe that most qualified students  get to attend college.

A similar problem is given at brainly.com/question/24282972

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hodyreva [135]

Answer:

The first 25 prime numbers (all the prime numbers less than 100) are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.

5 0
3 years ago
The angle of elevation of the sun is 22∘. A 6ft tall man is standing in the shadow of a 76 ft tall tree so that the tips of thei
Anika [276]

Answer: 173.26 ft = 173 ft

Step-by-step explanation:

h tree: 76 ft

h man: 6 ft

As we can see on the sketch, they form a right triangle, so:

tan 22 = 76/y ⇒ 0.404 = 76/y ⇒ y = 76*0.404 ⇒ y = 188.11 ft

tan 22 = 6/x ⇒ 0.404 = 6/x ⇒ x = 6*0.404 ⇒ x = 14.85 ft

distance between the man and the tree = y - x = 188.11 - 14.85 = 173.26 ft

6 0
2 years ago
Please help with this work I can't seem to find the answers to any of them, THANK YOU!
Brilliant_brown [7]

Answer:

Dude, that was not nice he just wants to know!

Step-by-step explanation:


6 0
2 years ago
Find each key feature of the function shown in the graph. Write the range and domain in interval notation, and assume all values
gayaneshka [121]

The domain of the graph is  -8 while the range of the graph is -4\leq x.

  • The domain of the graph is input values of "x" for which the function exists while the range is the output values "y" for which the function exists.

For the graph, the domain will be the values of the graph along the x-axis.

  • Domain = -8 (Note that -8 is not included)

  • For the range, the interval is given as: -4\leq x. Note that the value of 4 is not included since it is opened.

Learn more on domain and range here: brainly.com/question/1942755

3 0
2 years ago
From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 21.
zzz [600]

Answer: (20.86, 22.52)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

, where \overline{x} = sample mean.

z*= critical z-value

n= sample size.

\sigma = Population standard deviation.

By considering the given question , we have

\overline{x}= 21.69

\sigma=3.23

n= 58

Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, 95% confidence interval for the amount of time spent on administrative issues will be :

21.69\pm (1.96)\dfrac{3.23}{\sqrt{58}}

=21.69\pm (1.96)\dfrac{1.7}{7.61577}

=21.69\pm (1.96)(0.223221)

\approx21.69\pm0.83

=(21.69-0.83,\ 21.69+0.83)=(20.86,\ 22.52)

Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)

7 0
3 years ago
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