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slamgirl [31]
3 years ago
6

If f(x)=6x-7 and g(x)-3x-8 what is f(g(6))

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

Answer:

53

Step-by-step explanation:

To evaluate f(g(6)), evaluate g(6) then substitute this value into f(x)

g(6) = 3(6) - 8 = 18 - 8 = 10, then

f(10) = 6(10) - 7 = 60 - 7 = 53

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The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviat
tensa zangetsu [6.8K]

Answer:

0.6710

Step-by-step explanation:

The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.

Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 107 mm

σ is the population standard deviation = 5 mm

For x = 104 mm

z = 104 - 107/5

z = -0.6

Probability value from Z-Table:

P(x = 104) = 0.27425

For x = 115 mm

z = 115 - 107/5

z = 1.6

Probability value from Z-Table:

P(x = 115) = 0.9452

The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:

P(x = 115) - P(x = 104)

0.9452 - 0.27425

= 0.67095

Approximately = 0.6710

8 0
2 years ago
the contractor demands a working temperature of 82 degrees Fahrenheit. what is the equivalent temperature in degrees Celsius
stiks02 [169]

Answer:

27.8 Celsius

Step-by-step explanation:

The equation to convert Fahrenheit and Celsius is:

F = (9/5)C + 32

82 = (9/5)C + 32 -- subtract 32 from both sides

50 = (9/5)C -- multiply both sides by 5

250 = 9C -- divide by 9

27.777 = C

round up to 27.8 C

7 0
3 years ago
Calculate the length of the circumference of a circle with radius of 4.5cm <br><br> Pie=3
Butoxors [25]
Circunference=2 times pi time r
if pi=3 and r=4.5
circunerence=2 times 3 times 4.5=3 times 2 tiimes 4.5=3 times 9=27
answer is 27cm

5 0
2 years ago
Read 2 more answers
Three hikers are dividing the costs of a hiking trip evenly. They bought two permits that cost $15 each, three tram tickets that
cestrela7 [59]

Each hiker owes $41 or 4100 cents for the hiking trip.

<u><em>Explanation</em></u>

Cost of each permit is $15. So, the cost of <u>two permits</u> will be: (\$15*2)= \$30

Cost of each tram ticket is $19. So, the cost of <u>three tickets</u> will be: (\$19*3)=\$ 57

Cost of <u>one can</u> of bear spray is $36.

So, the total cost of the hiking trip =\$30+\$57+\$36=\$123

As the <u>three hikers</u> are dividing the total costs of the trip <u>evenly</u>, so each hiker owes =\frac{\$123}{3}=\$41 or 4100 cents.


3 0
2 years ago
When csc(O)sin(0) is simplified, what is the result?
Olin [163]

Answer:

This is not my answer, it was done by another expert in Brainly.

We are given:  

csc (0) * sin (0)  

This is to be simplified using trigonometric identities:  

csc (x) = 1/sin(x)  

so, csc (0) = 1/sin(0)  

then,  

1/sin(0) * sin (0), the result will be sin(0) / sin (0) which is equal to 1.  

Therefore, the answer is 1.

3 0
2 years ago
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