State what additional information is required in order to know that the triangles are congruent

If fh is an angle bisector of triangle efg with

kakasveta [241]

Answer:

Step-by-step explanation:

7 0

3 years ago

Suppose that at a state college, a random sample of 41 students is drawn, and each of the 41 students in the sample is asked to

ra1l [238]

Answer:

The confidence interval for 90% confidence would be narrower than the 95% confidence

Step-by-step explanation:

From the question we are told that

The sample size is n = 41

For a 95% confidence the level of significance is $\alpha = [100 - 95]\% = 0.05$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.05 }{2} }= 1.96$

For a 90% confidence the level of significance is $\alpha = [100 - 90]\% = 0.10$ and

the critical value of $\frac{\alpha }{2}$ is $Z_{\frac{\alpha }{2} } =Z_{\frac{0.10 }{2} }= 1.645$

So we see with decreasing confidence level the critical value decrease

Now the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }$

given that other values are constant and only $Z_{\frac{\alpha }{2} }$ is varying we have that

$E\ \ \alpha \ \ Z_{\frac{\alpha }{2} }$

Hence for reducing confidence level the margin of error will be reducing

The confidence interval is mathematically represented as

$\= x - E < \mu < \= x + E$

Now looking at the above formula and information that we have deduced so far we can infer that as the confidence level reduces , the critical value reduces, the margin of error reduces and the confidence interval becomes narrower

3 0

3 years ago

Suppose that a typical household in the United States has an average after-tax income of $41,100. The circle graph below represe

Zarrin [17]

Answer:

9% + 5%

Step-by-step explanation:

7 0

3 years ago

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The LCM of 2 numbers is 60 and 1 of the numbers is 7 less than the other number. What are the numbers?

Phoenix [80]

Let's represent the two numbers by x and y. Then xy=60. The smaller number here is x=y-7.

Then (y-7)y=60, or y^2 - 7y - 60 = 0. Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:

discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191. Because the discriminant is positive, this equation has two real, unequal roots, which are
-(-7) + sqrt(191)
y = -------------------------
-2(1)

and

-(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
-2(1)

Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.

Try thinking this way: If the LCM is 60, then xy = 60. What would happen if x=5 and y=12? Is xy = 60? Yes. Is 5 seven less than 12? Yes.

5 0

3 years ago

A bag of trail mix weighs 2 pounds. By weight, 18% is oats. Write a percent proportion to find weight of oats in mix

inysia [295]

2 pounds ---- 100%
x pounds -----18%
x=(2*18)/100=36/100=0.36 pounds

8 0

3 years ago

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