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3 years ago

Which of the following equations is the result after the first step in solving 3x + 6 = 12?

Mathematics

1 answer:

Romashka-Z-Leto [24]3 years ago

4 0

Answer:

3x =6

Step-by-step explanation:

3x+6 =12

Subtract 6 from each side

3x+6-6 = 12-6

3x =6 pls mark branilest if that helped

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In analyzing the city and highway fuel efficiencies of many cars and trucks, the mean difference in fuel efficiencies for the 60

Olegator [25]

Answer:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

$7.38+1.96\frac{2.51}{\sqrt{601}}=7.58$

For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

Step-by-step explanation:

Data provided

$\bar X=7.38$ represent the sample mean for the fuel efficiencies

$\mu$ population mean

s=2.51 represent the sample standard deviation

n=601 represent the sample size

Confidence interval

The formula for the confidence interval of the true mean is given by:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom for this case is given by:

$df=n-1=601-1=600$

The Confidence level for this case is 0.95 or 95%, and the significance level $\alpha=0.05$ and $\alpha/2 =0.025$ and the critical value is given by $t_{\alpha/2}=1.96$

Replcing into the formula for the confidence interval is given by:

$7.38-1.96\frac{2.51}{\sqrt{601}}=7.18$

$7.38+1.96\frac{2.51}{\sqrt{601}}=7.58$

For this case the confidence interval is given by :

$7.18 \leq \mu \leq 7.58$

8 0

3 years ago

A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability that the card drawn is neither a red card

Reil [10]

Number of red cards including 2 red queens = 26
Number of black queens = 2
Therefore, number of red cards including 2 red queens and 2 black queens = 26 + 2 = 28
Number of cards neither a red card nor a queen = 52 - 28 = 24

$P = \frac{ Number \: of \: favourable \: outcomes}{ Total \: numer \: of \: possible \: outcomes}$

$P (neither \: a \: red \: nor \: a \: queen \: card \: ) = \frac{24}{52} = \frac{6}{13}$

8 0

4 years ago

How many solutions does the following equation have? 3(4x+3)=3+12x

TiliK225 [7]

3(4x+3)=3+12x

12x+9=3+12x

9=3

0 solutions

3 0

3 years ago

Which of the following values are solutions to the inequality x-8< -2?

avanturin [10]

Answer:

r=8 is a solution. Explanation: To tell whether the given value is a solution to the inequality, we have to solve the inequality. r−3≤9

r=8 is a solution. Explanation: To tell whether the given value is a solution to the inequality, we have to solve the inequality. r−3≤9 Add 3 ... More

Step-by-step explanation:

r=8 is a solution. Explanation: To tell whether the given value is a solution to the inequality, we have to solve the inequality. r−3≤9

r=8 is a solution. Explanation: To tell whether the given value is a solution to the inequality, we have to solve the inequality. r−3≤9 Add 3 ... Morep

5 0

3 years ago

Mark would like to build a rectangle frame. The dimensions of the frame are unknown, but the perimeter of the frame must be 80 y

kotykmax [81]

Answer:

The length of the frame is 17

Step-by-step explanation:

The computation of the length of the frame is shown below:

As we know that

The perimeter of a rectangle is

= 2 (length + width)

where,

let us assume the width be x

So, the length is x - 6

And, the perimeter is 80 yards

So, now put these values to the above formula

80 yards = 2 (x - 6+ x)

80 yards = 2 (2x - 6)

80 yards = 4x - 12

92 = 4x

x = 23

So, the length of the frame is

= 23 - 6

= 17

6 0

3 years ago