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Anettt [7]
3 years ago
7

a 90% confidence interva is constructed for the population mean. If a 95% confidence interval had been constructed instead (ever

ything else remaining the same), the width of the interval would have been__and the p
Mathematics
1 answer:
zhuklara [117]3 years ago
6 0

Answer: increased

Step-by-step explanation:

  • An x% confidence interval indicates that a person can be x% confident that true population parameter lies in it.

More level of confidence more width of the interval.

As level of Confidence interval increases width of interval increases.

Width of interval \propto  level of Confidence interval

So, If a 95% confidence interval had been constructed instead of 90% the width of the interval would have been<u> increased.</u>

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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
A parallelogram has sides 10m and 12m and an angle of 45°. Find the distance between the 12m-sides.
stich3 [128]

Answer:

The distance between 12m-sides is 5\sqrt{2}m.

Step-by-step explanation:

It is given that the parallelogram has sides 10m and 12m and an angle of 45°.

Draw an altitude from one 12m side to another 12 m side as shown in below figure.

The opposite angles of parallelogram are same. Two angles are obtuse angles and two are acute angle.

Since angle C is acute angle therefore it must be 45 degree.

\sin\theta=\frac{perpendicular}{hypotenuse}

\sin C=\frac{BE}{BC}

\sin(45^{\circ})=\frac{d}{10}

\frac{1}{\sqrt{2}}=\frac{d}{10}

\frac{10}{\sqrt{2}}=d

\frac{10}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}=d

\frac{10\sqrt{2}}{2}=d

5\sqrt{2}=d

Therefore the distance between 12m-sides is 5\sqrt{2}m.

4 0
3 years ago
Unit 2 Lesson 2 PS 1 table
deff fn [24]

Answer:

k

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities. ... Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

8 0
3 years ago
Read 2 more answers
Walter's savings account has a balance of $273. After 5 years, what will the amount of interest be at 5% compounded quarterly? a
lutik1710 [3]
The answer is 76.99 but rounded would make it 77.00 which is C
4 0
3 years ago
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Find the solution of this system of equations.
Evgesh-ka [11]

Answer:

Step-by-step explanation:

x + 2y = 8

x - y = 2

x + 2y = 8

-x + y = -2

3y = 6

y = 2

x - 2 = 2

x = 4

(4, 2)

8 0
2 years ago
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