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CaHeK987 [17]
3 years ago
8

What is the solution to this inequality? -5m - 8.45 < 6.55 Drag and drop a symbol and number to correctly complete the inequa

lity.​

Mathematics
1 answer:
Alinara [238K]3 years ago
6 0

Answer:

m <u>> -3</u>

Step-by-step explanation:

[Given] -5m - 8.45 < 6.55

[Add 8.45 to both sides of the equation] -5m < 15

[Divide both sides of the equation by -5, and flip the < to a > since we are dividing by a negative number] m > -3

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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A box contains 5 red balls, 6 white balls and 9 black balls. Two balls are drawn at
valina [46]

Answer:

P(Same)=\frac{61}{190}

Step-by-step explanation:

Given

Red = 5

White = 6

Black = 9

Required

The probability of selecting 2 same colors when the first is not replaced

The total number of ball is:

Total = 5 + 6 + 9

Total = 20

This is calculated as:

P(Same)=P(Red\ and\ Red) + P(White\ and\ White) + P(Black\ and\ Black)

So, we have:

P(Same)=\frac{n(Red)}{Total} * \frac{n(Red) - 1}{Total - 1} + \frac{n(White)}{Total} * \frac{n(White) - 1}{Total - 1}  + \frac{n(Black)}{Total} * \frac{n(Black) - 1}{Total - 1}

<em>Note that: 1 is subtracted because it is a probability without replacement</em>

P(Same)=\frac{5}{20} * \frac{5 - 1}{20- 1} + \frac{6}{20} * \frac{6 - 1}{20- 1}  + \frac{9}{20} * \frac{9- 1}{20- 1}

P(Same)=\frac{5}{20} * \frac{4}{19} + \frac{6}{20} * \frac{5}{19}  + \frac{9}{20} * \frac{8}{19}

P(Same)=\frac{20}{380} + \frac{30}{380}  + \frac{72}{380}

P(Same)=\frac{20+30+72}{380}

P(Same)=\frac{122}{380}

P(Same)=\frac{61}{190}

4 0
3 years ago
1200 people visited a museum. 240 of the visitors were children. what percent of the visitors were children?​
sergeinik [125]

Answer:

20 percent

Step-by-step explanation:

To find the percentage that were children, we take the number of children over the total and multiply by 100%

There are 240 children and 1200 total people

240/1200 * 100%

.2*100%

20%

5 0
3 years ago
Read 2 more answers
triple one number added to another number is 22. if the second number is equal to 8 less than 2 times the first number, find the
Scrat [10]

Answer:

  • 6 and 4

Step-by-step explanation:

Let the numbers are x and y.

<u>Given:</u>

  • 3x + y = 22
  • y = 2x - 8

<u>Solve by substitution:</u>

  • 3x + 2x - 8 = 22
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  • x = 6

<u>Find y:</u>

  • y = 2*6 - 8 = 12 - 8 = 4
4 0
3 years ago
For pigs, the length of pregnancies varies according to a normal distribution with a mean of 114 days and a standard deviation o
riadik2000 [5.3K]

Answer: The length of approximately 68% of all pig pregnancies will fall between <u>109 days</u> and <u>119 days</u>.

Step-by-step explanation:

According to the empirical rule , 68% of the population falls within one standard deviations from the mean.

Given : For pigs, the length of pregnancies varies according to a normal distribution with a mean of 114 days and a standard deviation of 5 days.

According to the Empirical Rule, the length of approximately 68% of all pig pregnancies will fall between 114-1(5) days  and 114+1(5) days .

i.e. the length of approximately 68% of all pig pregnancies will fall between <u>109 days</u> and <u>119 days</u>.

7 0
3 years ago
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Answer:

scientific phenomena

Step-by-step explanation:

5 0
3 years ago
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