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earnstyle [38]
3 years ago
12

Solution for 5x-(2-3x)=-87+3x

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
8 0
The answer will be x=-17
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Given x=-3, y=6, and z=-4 xz/-2y
zimovet [89]

Answer:

-1

Step-by-step explanation:

sub in the values of x, y and z into the equation

you get:

(-3)(-4)/(-2)(6)

= 12/-12

= -1

8 0
3 years ago
Read 2 more answers
4)In order to set rates, an insurance company is trying to estimate the number of sick daysthat full time workers at an auto rep
bagirrra123 [75]

Answer:

A sample of 18 is required.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.92}{2} = 0.04

Now, we have to find z in the Z-table as such z has a p-value of 1 - \alpha.

That is z with a pvalue of 1 - 0.04 = 0.96, so Z = 1.88.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

A previous study indicated that the standard deviation was 2.2 days.

This means that \sigma = 2.2

How large a sample must be selected if the company wants to be 92% confident that the true mean differs from the sample mean by no more than 1 day?

This is n for which M = 1. So

M = z\frac{\sigma}{\sqrt{n}}

1 = 1.88\frac{2.2}{\sqrt{n}}

\sqrt{n} = 1.88*2.2

(\sqrt{n})^2 = (1.88*2.2)^2

n = 17.1

Rounding up:

A sample of 18 is required.

3 0
3 years ago
Let p, q, and r represent the following statements"
Nitella [24]

In logic, own symbols are used in order to be able to represent the relations between propositions in a general and independent way to the proposition, in order to be able to find the relationship process that operates in the communicated message, the propositional logic.

For this purpose there are, among others, the following logical operators: conjunction (and) ∧, disjunction (or) ∨, denial (not) ¬,  conditional (if - then) ⇒ and double conditional (if and only if, iff) ⇔.

So for this case we have:

Answer

a) Sam had pizza last night if and only if Chris finished her homework.

p⇔q

b) Pat watched the news this morning iff Sam did not have pizza last night.

r⇔¬p

c) Pat watched the news this morning if and only if Chris finished her homework and Sam did not have pizza last night.

r⇔(q∧¬p)

d) In order for Pat to watch the news this morning, it is necessary and sufficient that Sam had pizza last night and Chris finished her homework.

r⇔(p∧q)

e) <em>q ⇔ r</em>

Chris finished his homework if and only if Pat watched the news this morning

f) <em>p ⇔ (q ∧ r)</em>

Sam had pizza last night if and only if Chris finished his homework and Pat watched the news this morning

g) <em>(¬p) ⇔ (q ∨ r) </em>

Sam didn't have pizza last night if and only if Chris finished his homework or Pat watched the news this morning

h) <em>r ⇔ (p ∨ q) </em>

Pat watched the news this morning if Sam had pizza last night or Chris finished his homework

4 0
3 years ago
you have $895 in your checking account and write checks for $669, plus take $100 in cash out of your account. How much do you ha
Scilla [17]
To answer this we just need to set up a equation:- 

895 - 669 - 100 = 126.

SO, after these transactions you will have $126 left. 

Hope I helped ya!! 
7 0
3 years ago
Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of
Eddi Din [679]

Answer: A) 1.7 Years

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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