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son4ous [18]
3 years ago
13

How many terms are in 2+4x+7y

Mathematics
1 answer:
likoan [24]3 years ago
4 0
You Have To Move 2
4x+7y+2
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A rectangular photograph is nine centimeters wide and fourteen centimeters long. The photograph is enlarged by increasing the le
koban [17]

Answer:

Width=13cm

Length=18cm

Step-by-step explanation:

Width of the Initial Photograph=9cm

Length of the Initial Photograph=14cm

If width and length are increased by an equal amount, say x

New Width=9+x

New Length=14+x

Area of the new photo is 108 square centimeters greater than the area of the original photo.

Area of Original Photo=14*9=126cm²

Aeea of the New Photo=126+108=234cm²

Therefore:

(9+x)(14+x)=234

126+9x+14x+x²-234=0

x²+23x-108=0

x²+27x-4x-108=0

x(x+27)-4(x+27)=0

(x+27)(x-4)=0

x+27=0 or x-4=0

x=-27 or x=4

Since x≠-27

x=4cm

The dimensions of the new photo are:

Width=9+x=9+4=13cm

Length=14+x=14+4=18cm

4 0
3 years ago
(1 point) Suppose we want a 95% confidence interval for the average amount spent on books by freshmen in their first year at col
Ne4ueva [31]

Answer:

a) n=(\frac{1.960(16)}{5})^2 =39.33 \approx 40

So the answer for this case would be n=40 rounded up to the nearest integer

b) For this case if we see the formula for the margin of error

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    (a)

We can see that the margin of error is inversely proportional to the sample size so if we want a samller margin of error we need a LARGER sample

Answer: LARGER

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean

\sigma=16 represent the population standard deviation

n represent the sample size  

Solution to the problem

Part a

The margin of error is given by this formula:

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    (a)

And on this case we have that ME =5 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

n=(\frac{z_{\alpha/2} \sigma}{ME})^2   (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got z_{\alpha/2}=1.960, replacing into formula (b) we got:

n=(\frac{1.960(16)}{5})^2 =39.33 \approx 40

So the answer for this case would be n=40 rounded up to the nearest integer

Part b

For this case if we see the formula for the margin of error

ME=z_{\alpha/2}\frac{s}{\sqrt{n}}    (a)

We can see that the margin of error is inversely proportional to the sample size so if we want a samller margin of error we need a LARGER sample

Answer: LARGER

5 0
3 years ago
Please hurry! If you don't know it, that's okay.
makvit [3.9K]

Answer:

The answer is (x,y)=(-10,-7)

Step-by-step explanation:

  • The solution comes from replace x= -10 into the equation of y=2/5 x -3.
  • Replacement of x= -10 into y = 2/5 x -3 results: y=\frac{2}{5}\times{(-10)}-3=2\times{(-2)} -3=-4-3=-7.
7 0
3 years ago
A teacher orders homework books for her class of 30 students.
nexus9112 [7]
Total value: $144
Explanation: each book cost $4.50
8 0
3 years ago
Read 2 more answers
Select the equations where x = 8 is the solution. Select all that apply (select 3).
seraphim [82]

Answer:

Step-by-step explanation:

1. x - 2 = 10

x = 10 + 2 = 12

2. 40 = 5x

40/5 = x

x = 8

3. x/2 = 8

Multiply by 2 on both sides

x = 16

4. x + 14 = 24

x = 24 - 14 = 10

5. x + 2 = 10

x = 10 - 2 = 8

6. x/8 = 1

Multiply by 8 on both sides

x = 8

No 2 5 and 6 is the correct answer

3 0
3 years ago
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