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1 year ago

Solve the following Linear equation 15 POINTS

Mathematics

2 answers:

GenaCL600 [577]1 year ago

7 0

Answer:

24 - 6 = 2(12 - 3)

24 - 6 = 24 - 6

Subtract 24 from both sides of the equation

24 - 24 - 6 = 24 - 6 - 24

-6 = -6

Add 6 to both sides of the equation

6 - 6 = -6 + 6

0 = 0

The input is an identity: it is true for all values

-TheUnknownScientist

oee [108]1 year ago

7 0

Answer:

x = 12

Step-by-step explanation:

24-6x = 2(12-3x)

24-6x = 24-6x

-6x - 6x = 24-24

-12x = 0

make x subject of the formula

x = 0+12

x = 12

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Of 150 adults selected randomly from one town, 30 of them smoke. Construct a 99% confidence interval for the true percentage of

anyanavicka [17]

Answer:

The 99% confidence interval for the true percentage of all adults in the town that smoke is (0.1159, 0.2841).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

Of 150 adults selected randomly from one town, 30 of them smoke. This means that $n = 150, p = \frac{30}{150} = 0.2$

99% confidence interval

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.20 - 2.575\sqrt{\frac{0.20*0.80}{150}} = 0.1159$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.20 + 2.575\sqrt{\frac{0.20*0.80}{150}}{119}} = 0.2841$

The 99% confidence interval for the true percentage of all adults in the town that smoke is (0.1159, 0.2841).

3 0

2 years ago

HELP ME PLEASE :( Will mark as brainlist, only correct answers

lara31 [8.8K]

Answer:

None of the pairs of expressions are equal

Step-by-step explanation:

• 2n ≠ 2 +n

2n is the same as 2 times of n (expressed as a multiplication sign), while 2 +n is the addition of 2 to n.

•n² ≠ 2n

n²= n ×n

2n= 2 ×n

• 2n² ≠ (2n)²

Note that in the latter, there is a bracket which means that the square applies to both 2 and n.

(2n)²

= (2)² × n²

= (2 ×2)(n²)

= 4n²

Thus, none of the pairs of expressions are equal.

8 0

2 years ago

Answer please !?? !!!

just olya [345]

Answer:

Step-by-step explanation:

4 0

2 years ago

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Todd has 21 white tiles dnd some black tiles to make a mosaic. The mosaic has a total area of 144 Square centimeters. Each tile

tekilochka [14]

Answer:the number of black tiles that Todd used is 27

Step-by-step explanation:

Let x represent the number of black tiles that Todd used.

Todd has 21 white tiles and some black tiles to make a mosaic. Each tile has an area of 3 square. It means that the total area of the white tiles is 21 × 3 = 63 cm^2

The total area of the white tiles is x × 3 = 3x cm^2

The mosaic has a total area of 144 Square centimeters. It means that

3x + 63 = 144

3x = 144 - 63 = 81

x = 81/3 = 27

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2 years ago

Jennifer started out with 8 dollars. Then she got some more money for her birthday she ended up with 15 dollars. How much did sh

Aleks04 [339]

Answer: $7

Step by step explanation: so first, we have to form any equation to show that some amount of money was added to eight dollars to get a total of fifteen dollars. Our equation becomes 8+x=15
Where eight is the origins amount, x is the amount that's added to the original amount and fifteen is the final amount.
We then move eight to the other side as a negative number
x=15-8
Therefore, x is equal to seven dollars.

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2 years ago

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Solve the following Linear equation 15 POINTS ​

Solve the following Linear equation 15 POINTS