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erma4kov [3.2K]
3 years ago
12

A quantity with an initial value of 390 the keys continuously at a rate of 5% per decade what is the value of the quantity after

51 years to the nearest hundred
Mathematics
1 answer:
Fed [463]3 years ago
3 0

Answer:

4695.90

Step-by-step explanation:

The exponential growth function is given as:

y = a(1 + r)^t

a = Initial value = 390

y = Value after time t = ?

r = Growth rate = 5% = 0.05

t = Time in years =51

Hence

y = 390(1 + 0.05)⁵¹

y = 4695.9002123

Approximately = 4695.90

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College courses taken in high school for which students automatically receive both high school and college credits is called ___
lina2011 [118]

The answer is D. Dual enrollment courses

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The letters of the alphabet are written on cards and places in a brown paper bag. What is the probability or drawing a vowel, re
ehidna [41]

Answer:

0.1%

Step-by-step explanation:

:D

3 0
3 years ago
In a 3M Privacy Filters poll, 806 adults were asked to identify their favorite seat when they fly, and 492 of them chose a windo
Snowcat [4.5K]

Answer:

Step-by-step explanation:

If majority of adults prefer a window seat when they fly, it means that more than half or more than 0.5 of the population prefer a window seat when they fly.

We would set up the hypothesis test.

For the null hypothesis,

p = 0.45

For the alternative hypothesis,

p > 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

Sample proportion, P = x/n

Where

x = number of success = 492

n = number of samples = 806

P = 492/806 = 0.61

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

z = (0.61 - 0.5)/√(0.5 × 0.5)/806 = 6.24

From the normal distribution table, the p value < 0.00001

Since alpha, 0.01 < than the p value, then we would reject the null hypothesis. Therefore, at a 1% significance level, we can conclude that the majority of adults prefer a window seat when they fly.

8 0
3 years ago
a regular polygon has a perimeter of 36 inches. each side is exactly 6 inches long. which figure does this discribe?
fgiga [73]
Since a side is only 6 inches long and the total perimeter is 36; take 36/6 and you get 6. The only figure with six sides is a hexagon, thus your answer is hexagon.
3 0
3 years ago
A survey was conducted that asked 1002 people how many books they had read in the past year. results indicated that x overbar eq
Shalnov [3]
The confidence interval would be (10.44, 12.16).  This means that if we take repeated samples, the true mean lies in 90% of these intervals.

To find the confidence interval, we use:
\overline{x} \pm z*(\frac{\sigma}{\sqrt{n}})

We first find the z-value associated with this.  To do this:
Convert 90% to a decimal:  90% = 90/100 = 0.9
Subtract from 1:  1-0.9 = 0.1
Divide by 2:  0.1/2 = 0.05
Subtract from 1:  1-0.05 = 0.95

Using a z-table (http://www.z-table.com) we see that this is directly between two z-scores, 1.64 and 1.65; we will use 1.645:

11.3 \pm 1.645*(\frac{16.6}{\sqrt{1002}})&#10;\\&#10;\\11.3 \pm 0.86&#10;\\(11.3-0.86, 11.3+0.86)&#10;\\(10.44, 12.16)
3 0
3 years ago
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