Answer:
If a=b, the triangle ABC is an isosceles right triangle and the angle of interest is 45°.

sin(45°) = (√2)/2 . . . . . . selection C is appropriate

sin(45°) = (√2)/2 . . . . . . selection C is appropriate

Is it true that Confidence intervals are always close to their true population values?

Find the percent change from a stock that was worth $230 and is now $287

Mikey is typing in the computer lab and typing at 23 words per minute. If he types for 11 minutes, how many words does he type?

Hi can somebody check if this is correct please?

25.638= Twenty five and six hundred thirty eight how would this be written out And how to find this Question to the answer

Find the percent change from a stock that was worth $230 and is now $287

Mikey is typing in the computer lab and typing at 23 words per minute. If he types for 11 minutes, how many words does he type?

Hi can somebody check if this is correct please?

25.638= Twenty five and six hundred thirty eight how would this be written out And how to find this Question to the answer

Answer:

3x^2 - 32x - 48

Step-by-step explanation:

3x^2-36x+4x-48

3x^2 - 32x -48

6 is the answer to the question

ΔDEF ≅ ΔSRU

ΔDEF ≅ ΔRSU

ΔDEF ≅ ΔRUS

The point D transformed into S

The point E transformed into R

The point F transformed into U

The lengths are angles didn't change as result of the transformations (rotation and translation do not change the shape nor dimensions). Then, the resulting triangle is congruent to the original triangle.

Using the same order for the letters, you might say that ΔDEF ≅ ΔSRU

The point E transformed into R

The point F transformed into U

The lengths are angles didn't change as result of the transformations (rotation and translation do not change the shape nor dimensions). Then, the resulting triangle is congruent to the original triangle.

Using the same order for the letters, you might say that ΔDEF ≅ ΔSRU

**Answer: B.) ΔDEF ≅ ΔSRU**

**Step-by-step explanation:**

The answer is correct on Edge.

Which floor do you live on?

23 is the floor which you live on

3gallons (gal) =_____liters (L)

**Answer:**

3gallons (gal) = 11.35 liters

**Step-by-step explanation:**

This can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

Each gallon has 3.78L. So

1 gallon - 3.78L

3 gallons - xL

liters

3gallons (gal) = 11.35 liters

**Answer:**

We reject the null hypothesis that the population means are equal and accept the alternative hypothesis that the population means are different.

**Step-by-step explanation:**

We have large sample sizes and , the unbiased point estimate for is , i.e., 12-14 = -2.

The standard error is given by , i.e.,

= 0.6585.

We want to test vs (two-tailed alternative). The rejection region is given by RR = {z | z < -2.5758 or z > 2.5758} where -2.5758 and 2.5758 are the 0.5th and 99.5th quantiles of the standard normal distribution respectively. The test statistic is and the observed value is . Because -3.0372 fall inside RR, we reject the null hypothesis.

The test statistic follow a standard normal distribution because we are dealing with large sample sizes.

In this scenario of comparing two independent samples and given that the sample sizes are large, the sample test statistic follows the** Standard Normal distribution **or Z-distribution. The Z-test statistic representing the difference in sample means (in units of standard error) is compared with critical values for a two-tailed test at 0.01 significance level to determine if there's sufficient evidence to reject the null hypothesis that the two population means are equal.

The test in your question pertains to a hypothesis testing scenario featuring two independent samples. This scenario typically involves two population means given that population standard deviations are known. The distribution followed by the sample test statistic in such cases is the Standard Normal distribution or **Z-distribution, **as the sample sizes (n1 = 49, n2 = 64) are sufficiently large. To test the claim that population means are different (at a significance level of 0.01), you'd typically construct a Z-test statistic that represents the difference in sample means (x1 - x2) in units of its standard error. The Z-test statistic is calculated as follows:

Here, x1 and x2 are the sample means, σ1 and σ2 are the population standard deviations and n1 and n2 are the samples sizes. The resulting Z-score can be compared with critical** Z-scores** for a two-tailed test at the given level of significance (0.01) to determine whether or not the null hypothesis (two population means are equal) can be rejected.

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