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3 years ago

How do you solve this equation? 5-3z-18= z-1+ 8z Thanks

2 answers:

7 0

First, you have to combine like terms so -13-3z=9z-1 ; Then you have to do the variables so -13=12z-1 or -13-12z=-1 ; Next, you have to do the constant numbers so -12=12z or 12z=-12 ; Finally you divide so -12/12z = z=-1

rodikova [14]3 years ago

3 0

5-3z-18=z-1+8z
Add like terms
-13-3z=9z-1
Move terms
-12z=12
Divide both sides by 12
z=1

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According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 20

Murljashka [212]

Answer:

There is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1432

p = 23% = 0.23

Alpha, α = 0.05

Number of theft complaints , x = 321

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.23\\H_A: p < 0.23$

This is a one-tailed test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{321}{1432} =0.2241$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.2241-0.23}{\sqrt{\frac{0.23(1-0.23)}{1432}}} = -0.5305$

Now, we calculate the p-value from the table.

P-value = 0.298

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Conclusion:

Thus, there is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.

5 0

3 years ago

Can someone plz help me solved this problem! Need help ASAP! Help me !

lana66690 [7]

Answer: 5, 8

Step-by-step explanation:

The difference between 3 times a number and -8 is BETWEEN 23 and 32

Note: "difference" means subtraction --> 3x - (-8) --> 3x + 8

23 < 3x + 8 < 32

15 < 3x < 24 subtracted 8 from all 3 sides

--> 5 < x < 8 divided 3 from all 3 sides

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3 years ago

If two triangles have three corresponding angles and three corresponding sides that are equal in measure, are the two triangles

nikitadnepr [17]

Yes, they are.

If the triangles have three corresponding angles equal means that they are either similar or congruent.

The definition of congruent means that the sides have the same length. That is precisely what the statement says.

So, being the lengths of the corresponding angles the same the two triangles are identical, this is they are congruent.

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3 years ago

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marta [7]

Answer:

C Both the mean and median are appropriate measures of center.

Step-by-step explanation: