Please someone help me answer this!!

What is the Z-score for Paula if she got 1400 on the SAT, the mean was 1100 and the standard deviation was 275? step by step how

Setler [38]

mu = 1100 = population mean

sigma = 275 = population standard deviation

x = 1400 = raw score

z = z score

z = (x-mu)/sigma

z = (1400-1100)/(275)

z = 300/275

z = 1.0909090909091 approximately

z = 1.09

Convention is to round to two decimal places so that you can use a Z table to look up the area under the curve (which helps determine probability).

The positive z score is due to Paula's raw score being above the mean.

7 0

2 years ago

Consider a simple example of moral hazard. Suppose that Woodrow goes into a casino to make one bet a day. The casino is very bas

Neko [114]

Answer:

The expected value of the safe bet equal $0

Step-by-step explanation:

If

$S=\left\{s_1,s_2,...,s_n\right\}$

is a finite numeric sample space and

$P(X=s_k)=p_k$ for k=1, 2,..., n

is its probability distribution, then the expected value of the distribution is defined as

$E(X)=s_1P(X=s_1)+s_2P(X=s_2)+...+s_nP(X=s_n)X)$

What is the expected value of the safe bet?

In the safe bet we have only two possible outcomes: head or tail. Woodrow wins $100 with head and “wins” $-100 with tail So the sample space of incomes in one bet is

S = {100,-100}

Since the coin is supposed to be fair,

P(X=100)=0.5

P(X=-100)=0.5

and the expected value is

E(X) = 100*0.5 - 100*0.5 = 0

6 0

3 years ago

determine if l || m based on the information given on the diagram. If yes, state the converse that proves the lines are parallel

kirza4 [7]

Answer/Step-by-step explanation:

1. YES.

Converse: If same side interior angles are supplementary, then l || m. (Same side interior angles)

Since the sum of the two same side interior angles, 65° and 115°, equals 180°, therefore, l || m.

2. YES.

Converse: if two angles angles are a linear pair, they are supplementary, therefore l || m. (Linear pair)

Thus,

128° + 53° = 180°.

3. YES.

Converse: if two angles are corresponding angles and congruent, therefore l || m. (Corresponding angles).

Thus,

The indicated angles which are equal to 90°, are corresponding angles therefore, l || m.

4. YES

Converse: if two alternate exterior angles are congruent, then l || m. (Alternate exterior angles)

Thus, the two exterior angles are congruent, therefore l || m.

4 0

3 years ago

Step 2: Radii OK and NL are perpendicular to OM because of the radius-tangent theorem. By definition of perpendicular, angles KO

viva [34]

Answer:

<h2>AAA postulate.</h2>

Step-by-step explanation:

Givens

Angles KOM and LNM are congruent, because both are right.
Angle LNM is common to both triangles.

If two internal angles of two triangles are congruent, then the third angle is also congruent.

Therefore, the similarity is proven by AAA postulate, which states that if we have three corresponding angles congruent, then those triangles are similar.

Remember that similarity is about proportion between sides and congruence between angles.

8 0

3 years ago

What is the nearest whole number with 132.73

Fudgin [204]

Answer:

the nearest whole number is 133

5 0

2 years ago