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AnnZ [28]
3 years ago
14

9. Which of the following is the value of x in the solution to the

Mathematics
1 answer:
vladimir1956 [14]3 years ago
4 0

Hi there,

9. Which of the following is the value of x in the solution to the

system of equations given below?

8 + 2x = 5y  (1)

4x - y = 2  (2)

▪ (1)

y = ( 8 + 2x ) ÷ 5

▪ (2)

4x - [( 8 + 2x ) ÷ 5] = 2

( 20x - 8 - 2x ) ÷ 5 = 2

20x - 8 - 2x = 2 × 5

20x - 2x = ( 2 × 5 ) + 8

18x = 10 + 8

18x = 18

x = 18 ÷ 18

x = 1

The answer is : A. 1

•It was nice to help you, SkullNoggin!

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The area of the rectangle is 20 square inches. The rectangle is enlarged by a factor of 6.
d1i1m1o1n [39]

Answer:

B

Step-by-step explanation:

Here, we are told that the rectangle is enlarged by a factor of 6, we now want to calculate the new area of the said rectangle.

Now, for the rectangle to have an area of 20, mathematically the area of a triangle can be calculated using the formula L * B

where L is the length and B is the breadth

our product here is 20, so any product that gives 20 would be a good fit as the value of the width and length of the rectangle

So, let’s say the sides measure 5 inches by 4 inches

Enlarging these by a factor of 6, we have 30 inches by 24 inches

The new area of the rectangle would thus be ;

30 inches * 24 inches = 720 inches^2

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3 years ago
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Apr 22, 12:47:51PM
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Crop researchers plant 15 plots with a new variety of corn. The yields in bushels per acre are: 138.0 139.1 113.0 132.5 140.7 10
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There is a relationship between confidence interval and standard deviation:
\theta=\overline{x} \pm \frac{z\sigma}{\sqrt{n}}
Where \overline{x} is the mean, \sigma is standard deviation, and n is number of data points.
Every confidence interval has associated z value. This can be found online.
We need to find the standard deviation first: 
\sigma=\sqrt{\frac{\sum(x-\overline{x})^2}{n}
When we do all the calculations we find that:
\overline{x}=123.8\\ \sigma=11.84
Now we can find confidence intervals:
($90\%,z=1.645): \theta=123.8 \pm \frac{1.645\cdot 11.84}{\sqrt{15}}=123.8 \pm5.0\\($95\%,z=1.960): \theta=123.8 \pm \frac{1.960\cdot 11.84}{\sqrt{15}}=123.8 \pm 5.99\\ ($99\%,z=2.576): \theta=123.8 \pm \frac{2.576\cdot 11.84}{\sqrt{15}}=123.8 \pm 7.87\\
We can see that as confidence interval increases so does the error margin. Z values accociated with each confidence intreval also get bigger as confidence interval increases.
Here is the link to the spreadsheet with standard deviation calculation:
https://docs.google.com/spreadsheets/d/1pnsJIrM_lmQKAGRJvduiHzjg9mYvLgpsCqCoGYvR5Us/edit?usp=sharing
6 0
3 years ago
Help me please I don’t know it
avanturin [10]
C both of these is correct
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2 years ago
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sammy [17]

Answer:

40°

Step-by-step explanation:

As sum of angles of the triangle is 180°

therefore the third angle will be 180 -( 75 + 65)=40°

x=40°= vertically opposite angle

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