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pogonyaev
3 years ago
7

Place a check mark in the box next to each situation tha

Mathematics
1 answer:
omeli [17]3 years ago
8 0
The equation (5X-15=-75 is equal to B D and E because they all have -75 at they end of them!
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In a metal fabrication​ process, metal rods are produced to a specified target length of 15 feet. Suppose that the lengths are n
Leto [7]

Answer:

95% Confidence interval: (14.4537 ,15.1463)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 15 feet

Sample mean, \bar{x} = 14.8 feet

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, σ = 0.65 feet

Degree of freedom = n - 1 = 15

95% Confidence interval:

\bar{x} \pm t_{critical}\displaystyle\frac{s}{\sqrt{n}}  

Putting the values, we get,  

t_{critical}\text{ at degree of freedom 15 and}~\alpha_{0.05} = \pm 2.1314  

14.8 \pm 2.1314(\dfrac{0.65}{\sqrt{16}} ) \\\\= 14.8 \pm 0.3463 = (14.4537 ,15.1463)  

is the required confidence interval for the true mean length of rods.

3 0
3 years ago
Read 2 more answers
If x = 3 cm and y = 2cm, what is the perimeter of the polygon
Virty [35]
Do you have a picture?? Maybe? I’m not good at these
4 0
3 years ago
What is the value of x?
BlackZzzverrR [31]
The entire angle is a 90 degree angle.

Subtract the entire angle from what is given to find x.

90-28=62

x=62
4 0
3 years ago
The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori
Aliun [14]

Answer:

46

Step-by-step explanation:

Let (ab) represent a number with a in the ten's position and b is the one's position.

This means (ab) actually has value of 10a+b.

We are given the sum of those digits of (ab) is 10; this means a+b=10.

It says if 18 is added to the number (ab), then the result is (ba).

So (ab) has value 10a+b and

(ba) has value 10b+a.

We are given then:

(ab)+18=(ba)

10a+b+18=10b+a

Subtract 10a on both sides:

b+18=10b+a-10a

Simplify:

b+18=10b-9a

Subtract b on both sides:

18=10b-b-9a

18=9b-9a

Divide both sides by 9:

2=b-a

Rearrange by commutative property:

2=-a+b

So the system of equations we want to solve is:

a+b=10

-a+b=2

-------------------------Add equations together (this will eliminate the variable a and allow you to go ahead and solve for b:

0+2b=12

2b=12

Divide both sides by 2:

b=\frac{12}{2}

Simplify:

b=6

If b=6 and a+b=10, then a=4.  a=4 since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

7 0
3 years ago
Triangle CAT was rotated to create triangle C’A’T’. Describe the transformation using details and degrees
Elis [28]

Answer:

As this triangle is being transformed by rotation, the angles will stay same as well as the  sides and other details, if you are doing this on a coordinate plane, then the points of the triangle would be changed and nothing else

If my answer helped, please mark me as the brainliest!!

Thank You!

5 0
3 years ago
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