Answer:
33/20
Step-by-step explanation:
1/12 - 1/15 = 5/60 - 4/60 = 1/60
d = 1/60
a_n = a_1 + d(n - 1)
a_11 = 1/15 + (1/60)(11 - 1)
a_11 = 1/15 + 1/6
a_11 = 4/60 + 10/60
a_11 = 14/60
a_11 = 7/30
a_12 = 14/60 + 1/60
a_12 = 15/60
a_12 = 1/4
s_n = n(a_1 + a_n)/2
s_11 = 11(1/15 + 7/30)/2
s_11 = 11(2/30 + 7/30)/2
s_11 = 11(9/30)/2
s_11 = 99/60
s_11 = 33/20
An inequality which compares the changes in elevation of this hot air balloon while in flight is given by L - 83 2/5 ≤ L ≤ L + 83.7.
<h3>What is an elevation?</h3>
An elevation is also referred to as an altitude and it can be defined as the vertical distance (height) above a natural satellite or the surface of planet Earth such as land or sea level.
This ultimately implies that, an elevation (altitude) simply refers to the vertical height (elevation) of an object or physical body above a particular location or planetary reference plane such as land or sea level on planet Earth.
<h3>What is an inequality?</h3>
An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments (symbols):
- Less than (<).
- Greater than (>).
- Less than or equal to (≤).
- Greater than or equal to (≥).
For this exercise, let the variable L represent the initial height of this balloon. Also, since the hot air balloon decreased its elevation by 83 2/5 and increases its elevation by 83.7 meters, we have the following:
- The lower limit is equal to: L - 83 2/5.
- The upper limit is equal to: L + 83.7.
In this context, an inequality which models the changes in elevation of this hot air balloon is L - 83 2/5 ≤ L ≤ L + 83.7.
Read more on inequality here: brainly.com/question/6666926
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The answer is 3 places to the left
<h3>17 heavy equipment operators and 14 general labourers were employed</h3>
<em><u>Solution:</u></em>
Let x = number of heavy equipment operators employed
Then,
31 - x = number of laborers employed
From given,
Pay of heavy equipment operators = $ 138 per day
Pay of general labours = $ 93 per day
Payroll was $3648
Therefore,
number of heavy equipment operators x Pay of heavy equipment operators + number of laborers employed x Pay of general labours = 3648
138x + 93(31 - x) = 3648
138x + 2883 - 93x = 3648
45x = 3648 - 2883
45x = 765
x = 17
Thus,
31 - x = 31 - 17 = 14
Therefore, 17 heavy equipment operators and 14 general labourers were employed
Answer:
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = 0.0217
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Mean of the Population (μ) = 281
Standard deviation of the Population = 34.4
Let 'X' be a random variable in Normal distribution
Given X = 290
<u><em>Step(ii):-</em></u>
<em> The probability that the mean test score is greater than 290</em>
P(X⁻ > 290 ) = P( Z > 2.027)
= 0.5 - A ( 2.027)
= 0.5 - 0.4783
= 0.0217
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = 0.0217
