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3 years ago

In the decimal expansion of 2/9 , the digit ___ repeats indefinitely.

Mathematics

1 answer:

ioda3 years ago

6 0

I think the digit 2 would repeat indefinitely 2, 4, 8, 16, yada yada. Hope it helped

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What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y

Gekata [30.6K]

Answer:

$y=\displaystyle-\frac{4}{3}x+22$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept
Parallel lines always have the same slope (m)

Determine the slope (m):

$y=\displaystyle-\frac{4}{3}x -1$

The slope of the given line is $\displaystyle-\frac{4}{3}$ , since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be $\displaystyle-\frac{4}{3}$ . Plug this into y=mx+b:

$y=\displaystyle-\frac{4}{3}x+b$

Determine the y-intercept (b):

$y=\displaystyle-\frac{4}{3}x+b$

To find the y-intercept, plug in the given point (6,14) and solve for b:

$14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22$

Therefore, the y-intercept of the line is 22. Plug this back into $y=\displaystyle-\frac{4}{3}x+b$ :

$y=\displaystyle-\frac{4}{3}x+22$

I hope this helps!

5 0

3 years ago

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Elza [17]

Jeeeeeeez this is longgg

5 0

3 years ago

Evaluate the numerical expression: (-⅓)-(-⅖)=?

NeTakaya

Answer:

1/15

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

If two dice are thrown whats si the probability that they will add to 9?A2/36B3/36C3/36D4/36

GuDViN [60]

Answer:

D. $\frac{4}{36}$

Step-by-step explanation:

Solution,

Two dice are thrown.

So we have to find out the total number of outcomes.

$(1,1),\ (1,2),\ (1,3),\ (1,4),\ (1,5),\ (1,6)$

$(2,1),\ (2,2),\ (2,3),\ (2,4),\ (2,5),\ (2,6)$

$(3,1),\ (3,2),\ (3,3),\ (3,4),\ (3,5),\ (3,6)$

$(4,1),\ (4,2),\ (4,3),\ (4,4),\ (4,5),\ (4,6)$

$(5,1),\ (5,2),\ (5,3),\ (5,4),\ (5,5),\ (5,6)$

$(6,1),\ (6,2),\ (6,3),\ (6,4),\ (6,5),\ (6,6)$

The total number of outcomes = $36$

We have to find out the probability of outcomes that add up to 9.

So, Possible outcomes are;

$(3,6),\ (4,5),\ (5,4),\ (6,3)$

The total number of possible outcomes = $4$

Now, according to the formula of probability,

$P(E)=\frac{Total\ number\ of\ Possible\ outcomes}{Total\ Number\ of\ outcomes}$

$P(of\ add\ up\ to\ 9)=\frac{4}{36}$

Hence the correct option is D)4/36.

5 0

3 years ago

Two researchers conducted a study in which two groups of students were asked to answer 42 trivia questions from a board game. Th

Pepsi [2]

Answer:

Step-by-step explanation:

a) The formula for determining the confidence interval for the difference of two population means is expressed as

Confidence interval = (x1 - x2) ± z√(s²/n1 + s2²/n2)

Where

x1 = sample mean of group 1

x2 = sample mean of group 2

s1 = sample standard deviation for data 1

s2 = sample standard deviation for data 2

For a 90% confidence interval, the z score is 1.645

From the information given,

x1 = 24.5

s1 = 4.3

n1 = 200

x2 = 16.3

s2 = 3.1

n2 = 200

x1 - x2 = 24.5 - 16.3 = 8.2

z√(s1²/n1 + s2²/n2) = 1.645√(4.3²/200 + 3.1²/200) = 1.645√0.1405

z = 0.62

Therefore, the 90% confidence interval is 8.2 ± 0.62

Interpretation:

B.The researchers are 90% confident that the difference of the means is in the interval.

b) B.Since the 90% confidence interval does not contain zero, the results suggest that priming does have an effect on scores.

8 0

2 years ago