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GalinKa [24]
3 years ago
11

You are constructing a 95% confidence interval using the information: n = 60, x-bar = 65.5, s = 2.5, and E = 0.70. What is the v

alue in the middle of the interval?
Mathematics
1 answer:
elena-s [515]3 years ago
6 0

Answer:

65.5

Step-by-step explanation:

Using the relation :

Xbar ± Margin of error

Margin of Error = Zcritical * s/√n

The Zcritical value at 95% = 1.96

Hence,

Margin of Error = 1.96 * 2.5/√60

Margin of Error = 1.96 * 0.3227486

Margin of Error = 0.6326

Lower boundary = 65.5 - 0.6326 = 64.867

Upper boundary = 65.5 + 0.6326 = 66.133

(64.867 + 66.133) / 2

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The angles of a triangle add up to 180 degrees.
Alex_Xolod [135]

Answer:

33°

Step-by-step explanation:

We were given that:

1- The angles of a triangle add up to 180 degrees

2- The second angle is 15 degrees larger than the smallest angle

3- The third angle is 3 times as big as the smallest angle

So, first of all, let's call the smallest angle x.

the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle

and the third will be 3x, since it is 3 times bigger than the smallest angle.

With the information we have, we can form an equation!

180° = x + (x+ 15°) + 3x

180° = 5x + 15°

180° - 15° = 5x + 15° - 15°

165° = 5x

165°/5 = 5x/5

33° = x

therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.

99° + 33° + 48° = 180°

so it is safe to say this answer is correct!

8 0
3 years ago
Which of the following best describes the english expression five more than the quantity of a number minus six?
Sergeeva-Olga [200]

Answer:(x-6)+5

Step-by-step explanation:

100%sure

It says it is five more than

'A quantity minus six' which is x-6.

So it becomes (x-6)+5

4 0
4 years ago
Solve the following equation: (Find x) <br>a) (x-5)²+(2x-10)(x+3)-x²+25​
Alex73 [517]

Answer:

hence the value of x is either 5 or 2

x=5 or x=2

4 0
2 years ago
for a graph of a quadratic i have x intercepts that are x=12 and x =35 do i have enough information to find the y-coordinate of
goldenfox [79]

Answer:

No... provided no other information or no graph is provided.

Step-by-step explanation:

You can find the x-coordinate of the vertex which can be calculated using the two given x-intercepts. Using the symmetry of the parabola, it would just mean the vertex should lay midway between the x's. So the x-coordinate of the vertex is (12+35)/2=47/2.

However, we do not have enough information about the relationship between x and y to find the y-coordinate of the vertex.

All we are given is y=a(x-12)(x-35) (where a is real number) since we know the relationship is quadratic, and the zeros are 12 & 35.

So we could have many possible y-coordinates for our vertex since we don't know the value of a in our equation and we can plug in our x-coordinate for our vertex to find them all.

y=a(47/2-12)(47/2-35)

I'm just going to put everything to right of a in calculator:

y=-529/4 ×a

So that's all the possible y-coordinates for the vertex.

7 0
3 years ago
Bruh if you help me you are a true epic bababooey person!!! (Look at the picture)
Darina [25.2K]

Answer:

A negative number is something like if you have $4 and you give me $5 you would be negative because you owe me $1

Step-by-step explanation:

8 0
4 years ago
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