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dimaraw [331]
3 years ago
14

In a population of n = 6, five of the individuals all have scores that are exactly 1 point above the mean. from this information

you can determine that the score for the sixth individual must be ____.
Mathematics
1 answer:
Maurinko [17]3 years ago
4 0

The six scores have to average out to the mean, so their sum has to be six times the mean. Since the sum of the first five is 5 more than 5 times the mean, the remaining score must be 5 less than the mean.

Answer: 5 points below the mean

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Gavin is working to get his private pilot certificate he must fly minimum of 2020 hours with his plane instructor before he can
irinina [24]

Answer: He needs a minimum of 2011.25 hours

Step-by-step explanation:

In order for Gavin to get his private pilot certificate he must fly solo.

He must fly a minimum of 2020 hours with his plane instructor before he can fly solo.

He has already flown 8 3/4 hours with his instructor. This is express as 8hours + (3/4 × 1) = 8.75 hours

To determine how many more flying hours that he needs before he can fly solo, we will subtract the number of hours that he had flown from the the minimum of 2020 hours . it becomes

2020 - 8.75 = 2011.25.

He needs a minimum of 2011.25 hours

5 0
4 years ago
A country's population in 1991 was 114 million. In 1997 it was 120 million. Estimate the population in 2014 using exponential gr
Rufina [12.5K]
The answer is 138 million.

Step 1. Calculate the growth rate.
Step 2. Calculate the population number in 2014.

We will use the formula for exponential growth:
A = P * eⁿˣ
where:
A - the final amount (value)
P - the initial amount (value)
e - the mathematical constant (e ≈ 2.72)
n - the growth rate
x - the time

Step 1:
A = 120 million = 120 000 000
P = 114 million = 114 000 000
n = ?
x = 1997 - 1991 = 6
Therefore:
120 000 000 = 114 000 000 * e ^{n*6} \\ e ^{n*6} =120 000 000 /114000000 \\ e ^{n*6} =1.05 \\
Logarithm both sides of the equation:
ln(e ^{n*6})=ln(1.05) \\ n*6*ln(e) = ln(1.05) \\ 6n=ln(1.05) \\ n = \frac{ln(1.05)}{6} \\ n = \frac{0.05}{6} \\ n = 0.0083

Step 2:
Now when we know the growth rate, it is easy to estimate the population in 2014
A = ?
P = 120 000 000
n = 0.0083
t = 2014 - 1997 = 17
A = 120 000 000 * e ^{0.0083*17}  \\ 
A = 120 000 000 * e^{0.1411}   \\ 
A = 120 000 000 * 1.15 \\ 
A = 138 000 000

Thus, the population will be 138 million in 2014

8 0
3 years ago
Write the equation of the line with the given slope and y-intercept.
Alex787 [66]
A) y=5x+8

See clipped image for explanation

Comment below if you have trouble seeing the image or if you have more questions :)
4 0
3 years ago
Two isosceles triangular prisms were joined at their bases to form the composite solid shown. The width of base of both
telo118 [61]

Answer:

I’m thinking it’s 122‍♀️

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
three times the sum of a number and 4 is 8 less then one-half the number .write and solve an equation to find the number
Nostrana [21]

3(x + 4) = x/2 - 8

First, we can multiply both sides by 2:

6(x+4) = x - 16

6x + 24 = x - 16

Isolate x:

5x = -16 - 24

5x = -30

x = -6

6 0
3 years ago
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