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elixir [45]
3 years ago
14

-13x=90-2y -6x=48-2y

Mathematics
1 answer:
Kisachek [45]3 years ago
3 0

While it's pretty obvious to most of us that


-13x=90-2y

-6x=48-2y


is a system of linear equations, it'd be well to include that info plus the instructions "solve this system of linear equations."


Subtract the 2nd equation from the first:


-13x=90-2y

+6x=-48+2y

-----------------------

-7x = 42. Then x = -42/7, or x = 6.


Now subst. 6 for x in either one of the given equations. Suppose we use the 2nd equation:


-6x=48-2y


Then -6(6)=48-2y, or -36 = 48 - 2y, or 2y = 48+ 36 = 84. Then y = 42.


The solution is (6, 42).

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Nataliya [291]

Answer:

A ; 23rd century

Step-by-step explanation:

Here, we want to select which of the options is next to have a descending year.

Since all are in the same century i.e 20-something, we do not have an issue with the first digit.

What we need to work on is the last three digits;

We can have 2210, we can have 2321, we can have 2432, we can also have 2543 and so on.

The most recent of all these is the year 2210, so what century does this belong?

Kindly note that, the years 2001-2100 belong to the 21st century.

The years 2101-2200 belong to the 22nd century while the years 2201-2300 belong to the 23rd century

The year we are looking to place is the year 2201 and thus belongs to between 2201-2300 which is the 23rd century

8 0
3 years ago
05.01)Allen has a photo that is 6 in by 8 in. What will the dimensions of the photo be if he scales it down by a factor of one-h
poizon [28]
Half of 6 is 3
Half of 8 is 4 
so it will be 3 in by 4 in.
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Use the interactive tool to graph the line given the following information:     coordinates (1,–3)     slope of –2 Based on your
aleksklad [387]
The line can be written in the form y=mx+b. Plugging -2 in for m , 1 in for x, and -3 in for y, we get -3=-2*1+b=-2+b. Adding 2 to both sides, we get b=-1 and our equation turns into y=-2x-1 since y and x stay variables. Plugging it into a graphing calculator, we get in (0,b) that b = -1
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4 times a number is increased by 15, the answer is the same as when 70 is decreased by the number
pentagon [3]

4n+15=70+n


I'm pretty sure this is the answer

Have a good day!

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3 years ago
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News article reports that "Americans have differing views on two potentially inconvenient and invasive practices that airports c
OverLord2011 [107]

Answer:

1) p1=0.83

2) p2=0.81

3) Option B

4) p=0.82

5) s=0.03

6) z=0.67

7) P=0.50

8) Do not reject H0

Step-by-step explanation:

1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:

p=X/n=258/311=0.83

2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:

p=X/n=294/363=0.81

3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:

H_0:p_1-p_2=0\\\\H_a:p_1-p_2\neq0

4) The pooled estimate of a proportion is the average of both proportions:

\bar{p}=\frac{p_1+p_2}{2}= \frac{0.83+0.81}{2}=0.82

5) The standard error can be calculated as:

s=\sqrt{\frac{\bar{p}(1-\bar{p})}{n_1} +\frac{\bar{p}(1-\bar{p})}{n_2}} \\\\s=\sqrt{\frac{0.82*0.18}{311} +\frac{0.82*0.18}{363}} \\\\s=\sqrt{0.00047+0.00041} =\sqrt{0.00088}=0.03

6) The z-statistic can be calculated as:

z=\frac{p_1-p_2}{s}=\frac{0.83-0.81}{0.03}=\frac{0.02}{0.03}=0.67

7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).

2P(Z>|z|)=0.50286

8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.

There is not enough evidence to say that both proportions are different.

A. Do not reject H0

8 0
3 years ago
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