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2 years ago

Identify each number as rational or irrational.

Mathematics

1 answer:

ratelena [41]2 years ago

3 0

Step-by-step explanation:

sorry answer ia not clear

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A researcher compares the effectiveness of two different instructional methods for teaching electronics. A sample of 138 student

yan [13]

Answer:

The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

Step-by-step explanation:

The (1 - α)% confidence interval for the difference between population means is:

$CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}$

The information provided is as follows:

$n_{1}= 138\\n_{2}=156\\\bar x_{1}=61\\\bar x_{2}=64.6\\\sigma_{1}=18.53\\\sigma_{2}=13.43$

The critical value of z for 98% confidence level is,

$z_{\alpha/2}=z_{0.02/2}=2.326$

Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:

$CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}$

$=(61-64.6)\pm 2.326\times\sqrt{\frac{(18.53)^{2}}{138}+\frac{(13.43)^{2}}{156}}\\\\=-3.6\pm 4.4404\\\\=(-8.0404, 0.8404)\\\\\approx (-8.04, 0.84)$

Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

5 0

2 years ago

What is the point-slope form for the line passing through (3, -6) and (-1, 2)

Leto [7]

Answer:

y-2 = -2(x+1)

Step-by-step explanation:

Find the slope(m) first using the two points (3, -6) and (-1, 2).

Slope: -2

Next, plug in x₁ and y₁. I plugged in (-1, 2)

5 0

2 years ago

Which step is incorrect and what is the correct answer?

Anit [1.1K]

Answer:

Step 4, x = 3

Step-by-step explanation:

Step 4 was wrong, instead of 6x = 6, it should be 6x = 18. They shoudl've added 6 to both sides instead of subtracting 6 as ur trying to cancel out the 6 on the left side of the equation. So:

6x = 18

x = 3

7 0

2 years ago

100% & There are 16 girls and 18 boys in a class. The teacher chooses a student's name at What is the probabilit

Mariulka [41]

Answer:a

Step-by-step explanation:

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3 years ago

Read 2 more answers

A store has a 2 5 % 25% off sale on coats. With this discount, the price of one coat is $ 3 4 . 5 0 $34.50. What is the original

valentinak56 [21]

Answer:

The original price of the coat is $46

Step-by-step explanation:

In order to find this, we need to start with the cost after the discount. We can then divide this by the amount in percentage that we paid. Since it is 25% off, we paid 75%.

$34.50/75% = $46

3 0

2 years ago