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earnstyle [38]
3 years ago
6

F and g are inverse functions. f(n) = -(n + 1)^3 g(n) = 3 + n^3 a) True b) False

Mathematics
1 answer:
Sophie [7]3 years ago
6 0

Answer:

false

Step-by-step explanation:

hello

if f and g are inverse then (fog)(n)=n

as (fog)(n) is different from n it is false

hope this helps

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A random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength
irinina [24]

Answer:

Probability that the sample mean comprehensive strength exceeds 4985 psi is 0.99999.

Step-by-step explanation:

We are given that a random sample of n = 9 structural elements is tested for comprehensive strength. We know the true mean comprehensive strength μ = 5500 psi and the standard deviation is σ = 100 psi.

<u><em>Let </em></u>\bar X<u><em> = sample mean comprehensive strength</em></u>

The z-score probability distribution for sample mean is given by;

                          Z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean comprehensive strength = 5500 psi

            \sigma = standard deviation = 100 psi

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the sample mean comprehensive strength exceeds 4985 psi is given by = P(\bar X > 4985 psi)

    P(\bar X > 4985 psi) = P( \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{4985-5500}{\frac{100}{\sqrt{9} } } ) = P(Z > -15.45) = P(Z < 15.45)

                                                                  = <u>0.99999</u>

<em>Since in the z table the highest critical value of x for which a probability area is given is x = 4.40 which is 0.99999, so we assume that our required probability will be equal to 0.99999.</em>

4 0
3 years ago
Mark bought 2 pounds of walnuts for 25.50 Approximately how much will he pay for 7 pounds of walnuts​
lara31 [8.8K]

Answer:

89.25

Step-by-step explanation:

2pound of walnut= 25.50

1 pound of walnut= 12.75

7punds of walnut= 89.25

7pounds of walnut= 12.75* 7=89.25

3 0
3 years ago
Find the number of terms in the sequence and find the sum of the sequence: <br><br> 5+9+13+...+145
SashulF [63]
145-13-9-5 that what your looking for
8 0
1 year ago
How do you add fractions and whole numbers together? For example 1/4+2
grigory [225]

Answer:

2.25 or 2 1/4

Step-by-step explanation:

Easy. you add them like regular numbers. 1/4 + 2 = 0.25 + 2 =2.25 and/or 2 1/4

8 0
2 years ago
Find the square root.<br><br> ±√1.69 = ____ and ____
just olya [345]

Answer:

<h3>              ±√1.69 = +1.3 and -1.3</h3>

Step-by-step explanation:

√169 = 13

square root and two digits after dot means the result need to has one digit after dot (number of digits after dot divided by 2 because of square root)

so √1.69 = 1.3

3 0
2 years ago
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