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Eddi Din [679]
3 years ago
8

Which ordered pair is a solution to the system of inequalities? y< 3x y<5

Mathematics
1 answer:
Nutka1998 [239]3 years ago
5 0
I think the 2nd one
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In​ 2009, the national debt of a government was about ​$10.5 trillion. Using 308.0 million as the population for that​ year, abo
Katarina [22]

Answer:

34091 dollars per person

Step-by-step explanation:

In order to answer the question, you have to divide the amount of debt by the amount of population to obtain the amount of dollars per person.

The debt was $10.5 trillion. A trillion is a thousand billion  (1000 multiplied by a billion which is 10^{9} in scientific notation)

1000=10^{3}

One trillion is (10^{3})(10^{9})=10^{12}

The debt is: $ 10.5 x 10^{12}

The population is scientific notation is: 308.0 x 10^{6}

Dividing the amount of debt by the amount of population:

\frac{(10.5)(10^{12})}{(308.0)(10^{6})}=\frac{(10.5)(10^{12-6})}{308.0}=\frac{(10.5)(10^{6})}{308.0}

Simplifying and expressing it in standard notation:

34090.9 dollars per person

Rounding to the nearest dollar:

34091 dollars per person.

4 0
3 years ago
6d + 3d - 6d - 8 - 4d = 0. Solve for the variable
fenix001 [56]

Answer: D = -8

Step-by-step explanation:

combine like terms

5 0
3 years ago
Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op
Anika [276]

Answer:

The probability that the maximum speed is at most 49 km/h is 0.8340.

Step-by-step explanation:

Let the random variable<em> </em><em>X</em> be defined as the maximum speed of a moped.

The random variable <em>X</em> is Normally distributed with mean, <em>μ</em> = 46.8 km/h and standard deviation, <em>σ</em> = 1.75 km/h.

To compute the probability of a Normally distributed random variable we first need to convert the raw score of the random variable to a standardized or <em>z</em>-score.

The formula to convert <em>X</em> into <em>z</em>-score is:

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

Compute the probability that the maximum speed is at most 49 km/h as follows:

Apply continuity correction:

P (X ≤ 49) = P (X < 49 - 0.50)

                = P (X < 48.50)

                =P(\frac{X-\mu}{\sigma}

*Use a <em>z</em>-table for the probability.

Thus, the probability that the maximum speed is at most 49 km/h is 0.8340.

8 0
4 years ago
What sum of money lent out at 12 percent p.a. simple interest would produce 9000 as interest in 2 years​
SVETLANKA909090 [29]

Answer: Good luck! bro

3 0
3 years ago
Kid need help with homework 2 (8+×)=22
Masja [62]
X=3
22 \div 2 = 11
8 + 3 = 11

Step By Step:

find x

8 + ? • 2 = 22

22 ÷ 2 = 11

There for x = 3

8 + 3 = 11.
4 0
3 years ago
Read 2 more answers
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