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KonstantinChe [14]
3 years ago
7

Solve the inequality (29/289)z<(16/161)z

Mathematics
2 answers:
NeTakaya3 years ago
8 0

Answer:

z < 0

Step-by-step explanation:

Given:

\frac{29}{289}z

Required:

Solve for z

Follow the following steps:

Step 1: Rewrite expression

\frac{29z}{289}

Step 2: Multiply both sides of the inequality by (289)(161)

(161)(289)\frac{29z}{289}

Step 3: Simplify Expression

161 * 29z< 289 * 16z

Step 4: Multiply

4669 z< 4624 z

Step 5: Collect Like Terms

4669 z - 4624 z< 0

Step 6: Subtract

45z< 0

Step 7: Divide both sides by 45

\frac{45z}{45} < \frac{0}{45}

z < 0

Hence, the resul of \frac{29}{289}z is z < 0

stellarik [79]3 years ago
4 0

is that what you looking for

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A bag contains 19 red,15 yellow and 14 blue marbles. what is the probability of pulling out a blue marble, followed by a red mar
irina1246 [14]

Answer:

133/1152

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

19+15+14 = 48 marbles

Of which 19 are red, 15 are yellow and 14 are blue.

What is the probability of pulling out a blue marble, followed by a red marble, if you replace the blue marble first

Blue marble

48 marbles, of which 14 are blue.

So P_{A} = \frac{14}{48} = \frac{7}{24}

Red marble

48 marbles, of which 19 are red.

So P_{B} = \frac{19}{48}

Both:

P = P_{A} \times P_{B} = \frac{7}{24} \times \frac{19}{48} = \frac{133}{1152}

So the correct answer is:

133/1152

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3 years ago
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Answer:

It's A. (2, 0) and (0, -4)

3 0
2 years ago
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Write2.1 as a mixed number and as an improper fraction.<br> Do not try to simplify your answers.
Elden [556K]

Answer:

2 1/10 and 21/10

Step-by-step explanation:

2.1 is 2 + 0.1 when expanded.

2 is just 2 and then 0.1 as a fraction is 1/10. The mixed number would be                 2 1/10.

The improper fraction  is just 21/10 (convert the mixed number into improper form).

Converting from mixed number to improper: <u>Multiply the number in the front (in this case 2) by the denominator. </u>

<u />

<u>That is 2 x 10 which is 20. Then add that number (20) to the numerator. 20 + 1 is equal to 21. </u>

<u />

<u>21 would be our numerator and the denominator would stay the same (10). </u>

21/10 is the improper form.

8 0
3 years ago
Andre has been practicing his math facts. He can now complete 135 multiplication
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A. Andre can answer 1.5 facts per second.
135 : 90

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8 0
3 years ago
A vending machine has 5 colors (white, red, green, blue, and yellow) of gumballs and an equal chance of dispensing each.
DerKrebs [107]

Answer in fraction form = 1/20

Answer in decimal form = 0.05

Answer in percent form = 5%

These are three ways to express the same thing

=============================================================

Explanation:

Assume the gumball machine only has 5 gumballs, one of each color. The probability of getting yellow is 1/5 since there is one that is yellow out of 5 total.

The probability of getting a lion rubber band is 1/4 for similar reasoning as above.

Because the two events (getting yellow, getting a lion) are independent, this means we can multiply the two probabilities to get (1/5)*(1/4) = 1/20

Use your calculator to see that 1/20 = 0.05 which converts to 5% when you move the decimal point over 2 spots to the right.

6 0
3 years ago
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