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DochEvi [55]
3 years ago
14

Which description is paired with its correct expression?

Mathematics
2 answers:
Rudiy273 years ago
8 0

Answer:

D-twice the difference of nine and a number squared; 2 (9 minus n squared)

Step-by-step explanation:

Got it right on test

Lunna [17]3 years ago
3 0

Answer:

four less than the quotient of a number cubed and seven, increased by three (\frac{n^3}{7} -4)+3

five times the difference of a number squared and six

5(n^2 -6)

nine more than the quotient of six and a number cubed, decreased by four

9+\frac{6}{n^3}-4

twice the difference of nine and a number squared

2(9-n^2)

Step-by-step explanation:

Let n the number of interest we have this:

four less than the quotient of a number cubed and seven, increased by three (\frac{n^3}{7} -4)+3

five times the difference of a number squared and six

5(n^2 -6)

nine more than the quotient of six and a number cubed, decreased by four

9+\frac{6}{n^3}-4

twice the difference of nine and a number squared:

2(9-n^2)

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Step-by-step explanation:

or m= ((9-5)/ (5-3)

or,m= 4/2

or,m =2

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2 years ago
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18 feet long and 12 feet wide. What is the area of the floor in square yards?
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length=18ft=18/3=6yds
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One light-year equals 5.9 x 1012 miles. How many light-years are in 6.79
inna [77]

Option B

The number of light years in 6.79 \times 10^{16} miles is 11508 light years

<em><u>Solution:</u></em>

Given that,

One light-year equals 5.9 x 10^12 miles

Therefore,

1 \text{ light year } = 5.9 \times 10^{12} \text{ miles }

To find: Number of light years in 6.79 \times 10^{16} miles

Let "x" be the number of light years in 6.79 \times 10^{16} miles

Then number of light years in 6.79 \times 10^{16} miles can be found by dividing 6.79 \times 10^{16} miles by miles in 1 light year

\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79 \times 10^{16}}{5.9 \times 10^{12}}\\\\\text{Use the law of exponent }\\\\\frac{a^m}{a^n} = a^{m-n}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = \frac{6.79}{5.9} \times 10^{16-12}\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 1.1508 \times 10^4\\\\\text{Number of light years in } 6.79 \times 10^{16} miles = 11508

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3 0
3 years ago
A plastic bin contains red, yellow, and green key chains. Out of 350 keys, 10% are yellow, of the remaining key chains, 60% are
Alinara [238K]
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Explanation:

60% + 10% = 70% = yellow and green

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3 0
3 years ago
Deep mixing is a ground improvement method developed for soft soils like​ clay, silt, and peat. Civil engineers investigated the
Kitty [74]

Answer:

a)  0.9078

b) 0.9832

c) T = 2.9867

Step-by-step explanation:

Given:-

T  ~ N (2.7 , 0.8 )

Find:

Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa.

Find the probability that the tip resistance will exceed 1.0 MPa.

Find a value of tip​ resistance, T, such that 36​% of all soil samples have tip resistance values that exceed T

Solution:

a) To find the P ( 1.3 < x < 4.0 ) we will first compute the z-score values:

        P (1.3 < x < 4.0 ) = P ( (1.3 - 2.7)/0.8 < Z < (4.0 - 2.7)/0.8)

        P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625)

- Using the Z-table values we can evaluate the probability:

       P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625) = 0.9078

b) To find the P ( x > 1 ) we will first compute the z-score values:

        P ( x > 1.0 ) = P ( Z > (1.0 - 2.7)/0.8)

        P ( x > 1.0 ) = P ( Z > -2.125)

- Using the Z-table values we can evaluate the probability:

       P ( x > 1.0 ) = P ( Z > -2.125) = 0.9832

c) To find the P ( x > T ) we will first compute the z-score values:

       P ( x > T ) = P ( Z > (T - 2.7)/0.8) = 0.36

  - We will search for the z value with the condition above from Z-table.

       P ( Z > (T - 2.7)/0.8) = 0.36,  Z = 0.358375

  - Hence, we calculate for T:

        T = 0.358375*0.8 + 2.7

        T = 2.9867

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