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vovangra [49]
2 years ago
5

Which one is the correct answer, a b c d

Mathematics
1 answer:
Katena32 [7]2 years ago
3 0
<h2>Answer:</h2>

g(f(x))=\sqrt{\frac{2301+100x^2}{23+x^2} }

<h2>Step-by-step explanation:</h2>

Substitute\ and\ calculate:\\ \downarrow\\ g(f(x))=\sqrt{\frac{2301+100x^2}{23+x^2} }

<em>I hope this helps you</em>

<em>:)</em>

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The standard diameter of a golf ball is 42. 67 mm. A golf ball factory does quality control on the balls it manufactures. Golf b
Fynjy0 [20]

The maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.

<h3>What is the range?</h3>

The range is the difference between the maximum and minimum.

Given to us

The standard diameter of a golf ball is 42.67 mm.

The discrepancy in diameter is more than 0.002 mm.

As it is given to us that the standard diameter of the golf ball is 42.67 mm while the discrepancy in diameter is more than 0.002 mm.

Maximum acceptable diameter = 42.67 mm + 0.002 mm = 42.672 mm

Minimum acceptable diameter = 42.67 mm - 0.002 mm = 42.668 mm

Hence, the maximum and minimum acceptable diameter of the golf ball in the factory will be 42.672 mm to 42.668 mm.

Learn more about Range:

brainly.com/question/3507706

3 0
2 years ago
Suppose that the weights of passengers on a flight to Greenland on Frigid Aire Lines are normal with mean 175 pounds and standar
Natali5045456 [20]

Answer:

The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 175, \sigma = 22

What is the minimum weight for a passenger who outweighs at least 90% of the other passengers?

90th percentile

The 90th percentile is X when Z has a pvalue of 0.9. So it is X when Z = 1.28. So

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{X - 175}{22}

X - 175 = 22*1.28

X = 203.16

The minimum weight for a passenger who outweighs at least 90% of the other passengers is 203.16 pounds

6 0
3 years ago
Solve x^2 +14x=15 by completing the square
ivanzaharov [21]

Answer:

x = -15 and x = 1

Step-by-step explanation:

Since we have to use the complete the square method, we first need to <u>rewrite the equation</u> in the form x^{2}+2ax+a^{2}=(x+a)^{2}.

This results in x^{2} + 14x + 7^{2} = 15 + 7^{2}.

Next, we <u>simplify the equation</u> to get x^{2} +14x+7^{2} = 64.

<u>Factoring </u>the left side gives us (x+7)^{2} = 64.

Finally we <u>solve the equations</u>: x+7=\sqrt{64} and x+7=-\sqrt{64}.

This gives us  x=1, and x=-15

6 0
3 years ago
Read 2 more answers
The surface area of a cube is 560,000 square centimeters. How many square meters is this?
tresset_1 [31]

Answer:

5,600 m^2

Step-by-step explanation:

a 1cm= 0.01m

560000(0.01)=5600

3 0
2 years ago
Read 2 more answers
Can anyone solve this for me
emmainna [20.7K]

Answer:

(-2, -4.5)

Step-by-step explanation:

We can solve this equation with substitution.

x=2y+7

3x-2y=3

We can "substitute" 2y+7 for x into the second equation:

3(2y+7)-2y=3

Distribute the 3

6y+21-2y=3

Add like terms

4y+21=3

Subtract 21 from both sides

4y=-18

Divide both sides by 4 to isolate y

y=-4.5

Plug -4.5 back in for y:

x=2(-4.5)+7

x=-9+7

x=-2

(x,y)=(-2,-4.5)

7 0
3 years ago
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