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Natalka [10]
3 years ago
6

Find the two numbers whose sum is 29 and whose difference is 15.

Mathematics
1 answer:
yulyashka [42]3 years ago
7 0

Answer:

a = 22

b = 7

Step-by-step explanation:

Let the two numbers be represented as a and b.

a + b = 29

a - b = 15

Using elimination method

Add both equations

2a = 44

Divide both sides by 2 to get a

2a/2 = 44/2

a = 22

Now substitute a = 22 in any of the equations to get b .

Using the first equation, we have

a + b = 29

22 + b = 29

Subtract 22 from both sides of the equation

22 - 22 + b = 29 - 22

b = 7

Therefore the two numbers are 22 and 7

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The manager of an orchard expects about 70% of his apples to exceed the weight requirement for ""Grade A"" designation. At least
mamaluj [8]

Answer:

356

Step-by-step explanation:

We are given that p=0.7, and a 90% confidence interval. Also, we know the margin of error to be 0.04, the sample size is calculated as:

#The sample size is calculated as:

ME=z_{\alpha/2}\sqrt\frac{p(1-p)}{n}}\\\\0.04=1.645\sqrt\frac{0.7(1-0.7)}{n}\\\\n=\frac{0.7\times 0.3}{(0.04/1.645)^2}\\\\n=355.17\approx 356

Hence, at least 356 apples must be sampled to get a true proportion with the 4% ME.

6 0
3 years ago
To get to his parent's house, Isaiah would have to drive due north 9 kilometers. To get to his grandparents' house, he would hav
DaniilM [7]

let us represent the question with a diagram for better understanding.

Using Pythagoras theorem

\begin{gathered} c^2=12^2+9^2 \\ c^2=144+81 \\ c=\sqrt[\square]{225} \\ c=15\text{ km} \end{gathered}

The distance between the parents and grandparent house = 15 km

6 0
1 year ago
Solve Each Equation show work <br><br> 7. |n| - 4 = - 3 <br><br> 8. -3 |x|= - 18
MissTica

Answer:

1. n is 1 or -1

2. x is 6 or -6

Step-by-step explanation:

1. |n| -4 = -3

|n| = -3 + 4

|n| = 1

so n = 1 or - 1

2) -3|x| = -18

divide both sides by -3

|x| = -18/-3

|x| = 6

so x = -6 or 6

4 0
3 years ago
7×3.8<br><br><br>show me the work you did to get the answer
timama [110]
5
7
X3.8
26.6
So you multiply 7x8 and you get 56 then you put the 6 down and carry the 5 and then you multiply the 3x7 and you get 21 but you add the 5+21 and get 26 then you put the decimal after one number because that is how it is in 3.8
3 0
3 years ago
List the factors of 9. Is this number prime or composite?
Sergio [31]
The factors of 9 are: 1,3,9.  It is a composite number because it has factors other than 1 and itself.
3 0
3 years ago
Read 2 more answers
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