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zheka24 [161]
3 years ago
15

Find the discriminant. 3b^2 + 6b +3 = 0

Mathematics
1 answer:
Sergio039 [100]3 years ago
5 0

Answer:

0

Step-by-step explanation:

using the values of a,b, and c, the discriminant equals 0.

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A given population proportion is .25. What is the probability of getting each of the following sample proportions
anyanavicka [17]

This question is incomplete, the complete question is;

A given population proportion is .25. What is the probability of getting each of the following sample proportions

a) n = 110 and = p^ ≤ 0.21, prob = ?

b) n = 33 and p^ > 0.24, prob = ?

Round all z values to 2 decimal places. Round all intermediate calculation and answers to 4 decimal places.)

Answer:

a) the probability of getting the sample proportion is 0.1660

b) the probability of getting the sample proportion is 0.5517

Step-by-step explanation:

Given the data in the questions

a)

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 110

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 110 ) √( 0.1875 / 110 ) = 0.0413

Now, P( p^ ≤ 0.21 )

= P[ (( p^ - μ ) /S.D) < (( 0.21 - μ ) / S.D)

= P[ Z < ( 0.21 - 0.25 ) / 0.0413)

= P[ Z < -0.04 / 0.0413]

= P[ Z < -0.97 ]

from z-score table

P( X ≤ 0.21 ) = 0.1660

Therefore, the probability of getting the sample proportion is 0.1660

b)

population proportion = 0.25

q = 1 - p = 1 - 0.25 = 0.75

sample size n = 33

mean = μ = 0.25

S.D = √( p( 1 - p) / n ) = √(0.25( 1 - 0.25) / 33 ) = √( 0.1875 / 33 ) = 0.0754

Now, P( p^ > 0.24 )  

= P[ (( p^ - μ ) /S.D) > (( 0.24 - μ ) / S.D)

= P[ Z > ( 0.24 - 0.25 ) / 0.0754 )

= P[ Z > -0.01 / 0.0754  ]

= P[ Z > -0.13 ]

= 1 - P[ Z < -0.13 ]

from z-score table

{P[ Z < -0.13 ] = 0.4483}

1 - 0.4483

P( p^ > 0.24 )  = 0.5517

Therefore, the probability of getting the sample proportion is 0.5517

6 0
3 years ago
Solve 3x + 9 = 24.<br> A. x = 5<br> B. x = 11<br> C. x = 12<br> D. x = 18
DIA [1.3K]

Answer:

A. x = 5

Step-by-step explanation:

3x + 9 = 24

→ Minus 9 from both sides

3x = 15

→ Divide both sides by 3

x = 5

4 0
1 year ago
State a true conclusion.
xxTIMURxx [149]

Answer:

The conclusion is "Plane R and Plane S form a line if they intersect."

Step-by-step explanation:

Consider the provided statements.

1) If two planes intersect, their intersection is a line.

2) Plane Rand plane S intersect.

  • If two points lie in a plane, then the line joining them lies in that plane.
  • If two planes intersect, then their intersection is a line.

For better understanding refer the figure:

There are two planes R and S, which intersect at the line l.

Since the given two planes intersect, the using the above fact we can say that their intersection is a line.

Thus, the conclusion is "Plane R and Plane S form a line if they intersect."

3 0
3 years ago
Help please thank you
allsm [11]

Answer:

no

yes

yes

0.92 cents

4.72

9.26

Step-by-step explanation:

6 0
3 years ago
A square garden is 12 m long. A hedge wall 1 meter wide surrounds
sammy [17]
I think it only surrounds 1 meter because it’s a meter long
4 0
3 years ago
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