A star is a swirling mass of dense gases powered by thermonuclear reactions. The great solar furnace transforms 7 million tons o
1 answer:
Answer:
2.20752 x
Step-by-step explanation:
The first thing you have to do is to look for the number of seconds in one year. You have to multiply 365 days by 86,400 seconds.
- 365 days refer to the total number of days per year
- 86,400 seconds refer to the number of seconds per day
Let's solve.
- 365 x 86,400 = 31,536,000 or 3.1536 x
<em>Therefore, one year has 3.1536 x </em><em> seconds.</em>
Next, you have to know the number of seconds in 10 billion years.
- (3.1536 x
) x (1.0 x
) = 3.1536 x
The last step is to multiply the number of seconds in 10 billion years to 7 million tons of mass per second.
- (3.1536 x
) x 7,000,000 = 2.20752 x
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Using the z-table, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
First, solve for the z-score using the formula below.
z-score = (x – μ) / σ
where x = individual data value = 100
μ = mean = 125
σ = standard deviation = 18
z-score = (100 – 125) / 18
z-score = (-25) / 18
z-score = -1.39
Find the probability that corresponds to the z-score in the z-table. (see attached images)
-1.39 - (-1.3) : -1.4 - (-1.3) = x - 0.0968 : 0.0808 - 0.0968
-0.09 : -0.1 = x - 0.0968 : -0.016
x - 0.0968 = -0.09(-0.016)/-0.1
x = -0.0144 + 0.0968
x = 0.0824
x = 0.0824
Hence, the probability that a student taking this test will finish in 100 minutes or less is 0.0824 or 8.24%.
Learn more about probability here: brainly.com/question/26822684
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Answer:
a) growth
b) $500
c) 6% = 0.06
d)
e) $595.51
Step-by-step explanation:
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<u>Part (a)</u>
Exponential GROWTH, since interest is applied to the account each year.
<u>Part (b)</u>
Initial amount = $500
<u>Part (c)</u>
Growth factor = 6% = 0.06 (in decimal form)
<u>Part (d)</u>
General form of exponential growth function:
where:
- a = initial amount
- r = rate of growth (in decimal form)
- x = time (in years)
Given:
- a = 500
- r = 0.06
<u>Part (e)</u>
when x = 3
Answer:
The measure of the sum of interior angles of a 11-gon is .
Each interior angle is approximately .
Step-by-step explanation:
A convex polygon has the measure of each interior angles to be less than .
But,
sum of interior angles of polygon = (n - 2) x
where n is the number of sides of the polygon.
For a convex 11-gon, we have;
sum of angles of a 11-gon = (11 - 2) x
= 9 x
=
Sum of angles of a 11-gon =
To check: convex polygons' interior angles are less than .
so that,
each interior angle of 11-gon =
=