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Fed [463]
2 years ago
5

What is the result of adding these two equations?

Mathematics
1 answer:
Marina86 [1]2 years ago
7 0

Answer:

-2x-7y=-4

Step-by-step explanation:

We want to add the two expressions

\begin{aligned} 5x-9y &= 1 \\ -7x+2y &= -5 \end{aligned}

First we add the Left Hand Sides and do the same to the Right Hand Sides. This gives us:

(5x-9y)+(-7x+2y)= 1 +( -5)

Open the brackets

5x-9y-7x+2y=1-5

Regroup like terms

5x-7x-9y+2y=-4

-2x-7y=-4

The result of adding the two given expressions is -2x-7y=-4.

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The population standard deviation for the typing speeds for secretaries is 4 words per minute. If we want to be 90% confident th
Oksana_A [137]

Answer:

The minimum sample size that should be taken is 62.

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{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

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.

If we want to be 90% confident that the sample mean is within 1 word per minute of the true population mean, what is the minimum sample size that should be taken

This is n when M = 1, \sigma = 4. So

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

1 = 1.96*\frac{4}{\sqrt{n}}

\sqrt{n} = 4*1.96

(\sqrt{n})^{2} = (4*1.96)^{2}

n = 61.5

The minimum sample size that should be taken is 62.

8 0
3 years ago
Pls help!! 25 points!!
ankoles [38]

Answer:

(6, 840) (5, 700) (3, 420) (4, 560)

Step-by-step explanation:

Use the one point that is completely filled out, (6, 840). Divide 840 by 6 and you get 140 so that is the slope. 5x140= what the y intercept will be, 700. 420/140= what the x intercept will be, 3. Now you can see a pattern which helps check your work. They are all decreasing pretty much, not really ordered much but. And finally the last point 4x140=560. Hope that helps! :)

4 0
2 years ago
Answer it answer it answer it
AysviL [449]

Answer: D.

Step-by-step explanation: If you look closely, putting a 100 wouldn't make sense

6 0
3 years ago
Read 2 more answers
Sixty percent of the students at a certain school wear neither a ring nor a necklace. Twenty percent wear a ring and 30 percent
Reptile [31]

Answer:

0.4

Step-by-step explanation:

Given

60 % wear neither ring nor a necklace

20 % wear a ring

30 % wear necklace

This question can be Solved by using Venn diagram

If one person is choosen randomly  among the given student the probability that this student is wearing a ring or necklace is

P\left ( wear \ ring\ or \ necklace )+P\left ( neither\ ring\ or\ necklace)=1

P\left ( wear \ ring\ or\ necklace )=1-0.6=0.4

The sum of probabilty is equal to 1 because it completes the set

Therefore the required probabilty is 0.4

7 0
3 years ago
Simplify 2s + 4 + (-6s) +10
erma4kov [3.2K]

Answer:-4s+14

Step-by-step explanation: combined like terms.

2s-6s= -4s, 4+10=14

3 0
3 years ago
Read 2 more answers
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