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bonufazy [111]
3 years ago
15

1. m+ 10< 16

Mathematics
1 answer:
sleet_krkn [62]3 years ago
7 0

Answer:

1.\ m

Step-by-step explanation:

1. Subtract 10 from both sides. Then:

m+ 10< 16\\ m+ 10-10< 16-10\\m

2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:

-2g\geq8\\\\\frac{-2g}{-2}\geq\frac{8}{-2}\\\\g\leq-4

3. Add 22 to both sides. Then:

y-22< 19\\ y-22+22

4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:

-7b>-28\\\\\frac{-7b}{-7}>\frac{-28}{-7}\\\\b

5. Subtract 30 from both sides. Then:

h+30

6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:

-5x

7. Subtract 13 from both sides. Then:

t+13>22\\ t+13-13>22-13\\t>9

8. Add 12 to both sides. Then:

w-12< 16\\ w-12+12

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Answer:

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Step-by-step explanation:

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The average daily volume of a computer stock in 2011 was million​ shares, according to a reliable source. A stock analyst believ
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Complete question :

The average daily volume of a computer stock in 2011 was p = 35.1 million shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of 40 trading days in 2014, he finds the sample mean to be 30.9 million shares, with a standard deviation of s = 11.8 million shares. Test the hypotheses by constructing a 95% confidence interval. Complete parts (a) through (c) below. State the hypotheses for the test. Construct a 95% confidence interval about the sample mean of stocks traded in 2014.

Answer:

H0 : μ = 35.1 ;

H1 : μ < 35.1 ;

(26.488 ; 35.312)

Step-by-step explanation:

The hypothesis :

H0 : μ = 35.1

H1 : μ < 35.1

The confidence interval :

Xbar ± Margin of error

Xbar = 30.9

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 95% = 1.96

Margin of Error = 1.96 * (11.8/sqrt(40))

Margin of Error = 4.412

Lower boundary :

30.9 - 4.412 = 26.488

Upper boundary :

30.9 + 4.412 = 35.312

Confidence interval = (26.488 ; 35.312)

Since the population mean value exists within the interval, the we fail to reject the Null.

5 0
2 years ago
8 times of the eight term of an arithmetic progression is equal to 12 times of the twelfth term. find its first term if the comm
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Answer:

38

Step-by-step explanation:

We can express the 8th term as x and the 12th term as y.

This would mean that 8x=12y

Because the common difference between terms is -2 and term 8 and term 12 are 4 terms apart, this means that the 12th term is 8 less than the 8th term, so x-8=y

Now we can use this to substitute y with x in the first equation. This would give us:

8x=12(x-8)

Which we can expand and solve:

8x=12x-96

-4x=-96

Therefore x=24

This means the 8th term is 24 and the 12th term is 16 (24-8).

To test if this is correct we can do:

8x24=12x16

Which indeed are equal, both sides multiply to 192.

Now that we have our 8th term, we can find the 1st term, which is 7 terms away, therefore we just add 14 to the 8th term 24. (7x2=14)

24+14=38.

The first term is 38.

Hope this helped!

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Answer:

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We convert all given values to decimal

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0.14, 0.26 , 0.6

The kind of ice cream the least number of students prefer is Strawberry ice cream.

7 0
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