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Troyanec [42]
3 years ago
15

Please help me:////.

Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0
The absolute value of a number is its distance from 0. An easy way to think about this is that the absolute value turns a negative number positive, and has no effect on positive numbers. In this case, we are taking the absolute value of a negative number. This means we should simply make the number positive. Therefore, the answer is \frac{1}{3}
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It’s a review please HELP ASAP I’ve been stuck on it for awhile now
AlladinOne [14]
<h3>Answer:   7 goes in the blank space</h3>

The range of values for x is 2 < x < 7

========================================

Explanation:

The hinge theorem says that the larger the opposite side is, the larger the angle will be.

AD = 11, DC = 8

Since AD > DC, this means angle ABD > angle DBC.

--------

angle ABD > angle DBC

20 > 4x-8

20+8 > 4x-8+8 ... add 8 to both sides

28 > 4x

4x < 28 ... flip both sides and the inequality sign

4x/4 < 28/4 ... divide both sides by 4

x < 7

--------

At the same time, the angle 4x-8 cannot be 0 or negative.

So we say 4x-8 > 0. Let's solve this for x.

4x-8 > 0

4x-8+8 > 0+8 ... add 8 to both sides

4x > 8

4x/4 > 8/4 ... divide both sides by 4

x > 2

2 < x ... flip both sides and the inequality sign

--------

We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7

We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.

6 0
3 years ago
5/12 expressed as a decimal fraction is? (Round to the nearest thousandths)
Makovka662 [10]

Answer:

5/12 = 0.416666667 if you round up to the nearest thousandths it would be 0.417

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A librarian has 43 books to distribute to a group of children. If he gives each child 2 books, he will have 7 books left over. H
Ivan

Answer:

wish i could help have a gret day

Step-by-step explanation:

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3 years ago
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Find the critical values: a. Determine the critical value z????/2 that corresponds to a level of confidence of 87%. (2 pts). b.
larisa86 [58]

Answer:

a) z_{\alpha/2}=-1.51 and z_{\alpha/2}=1.51

b) t_{\alpha/2}=-1.89 and t_{\alpha/2}=1.89

c) t_{\alpha/2}=-2.11

d) z_{\alpha/2}=-1.75 and z_{\alpha/2}=1.75

Step-by-step explanation:

Part a

On this case the confidence is 87% or 0.87 so the significance level is \alpha=1-0.87=0.13 and \alpha/2 =0.065. On this case we can assume that is a bilateral test or a confidence interval so we will have two critical values.

We need values a,b on the normal standard distribution such that:

P(Z or P(Z>b)=0.065 and in order to find it we can use the following code in excel:

"NORM.INV(0.065,0,1)" or "NORM.INV(1-0.065,0,1)", and we see that the critical values z_{\alpha/2}=-1.51 and z_{\alpha/2}=1.51

Part b

On this case the confidence is 92% or 0.92 so the significance level is \alpha=1-0.92=0.08 and \alpha/2 =0.04. On this case we can assume that is a bilateral test or a confidence interval so we will have two critical values.

First we need to calculate the degrees of freedom given by:

df=n-1=15-1=14

We need values b,c on the t distribution with 14 degrees of freddom such that:

P(t_{(14)} or P(t_{(14)}>c)=0.04 and in order to find it we can use the following code in excel:

"T.INV(0.04,14)" or "T.INV(1-0.04,14)", and we see that the critical values t_{\alpha/2}=-1.89 and t_{\alpha/2}=1.89

Part c

The significance level is \alpha=0.025 and is a left tailed test. On this case we know that is a left tailed test so then we have just one critical value.

First we need to calculate the degrees of freedom given by:

df=n-1=18-1=17

We need a value c on the t distribution with 17 degrees of freddom such that:

P(t_{(17)}, and in order to find it we can use the following code in excel:

"T.INV(0.025,17)", and we see that the critical values t_{\alpha/2}=-2.11

Part d

The significance level is \alpha=0.08 and \alpha/2 =0.04. On this case we know that w ehave a two tailed proportion test, so we will have two critical values.

We need values a,b on the normal standard distribution such that:

P(Z or P(Z>b)=0.04 and in order to find it we can use the following code in excel:

"NORM.INV(0.04,0,1)" or "NORM.INV(1-0.04,0,1)", and we see that the critical values z_{\alpha/2}=-1.75 and z_{\alpha/2}=1.75

6 0
3 years ago
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