What type of

In a certain year, when she was a high school senior, Idonna scored 671 on the mathematics part of the SAT. The distribution of

goldfiish [28.3K]

Answer:

Idonna's standardized score is 1.41.

Jonathan's standardized score is 0.55.

A.) Idonna's score is higher than Jonathan's

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Idonna scored 671 on the mathematics part of the SAT. The distribution of SAT math scores in that year was Normal with mean 509 and standard deviation 115.

This means that her standardized score is Z when $X = 671, \mu = 509, \sigma = 115$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{671 - 509}{115}$

$Z = 1.41$

Idonna's standardized score is 1.41.

Jonathan took the ACT and scored 24 on the mathematics portion. ACT math scores for the same year were Normally distributed with mean 21.1 and standard deviation 5.3 .

This means that his standardized score is Z when $X = 24, \mu = 21.1, \sigma = 5.3$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{24 - 21.1}{5.3}$

$Z = 0.55$

Jonathan's standardized score is 0.55.

Due to the higher z-score, Iddona's has a higher score.

5 0

2 years ago

What is the simplified answer of ∛27×250

Kaylis [27]

Answer:

750 if just 27 is being rooted

18.9 if 27 x 250 is being rooted

Step-by-step explanation:

3 0

2 years ago

Triangle ABC is translated according to the rule (x, y) → (x + 2, y – 8). If the coordinates of the pre-image of point B are

yuradex [85]

Ans: (6,-13)

Rationale:

Simply take your pre-image (point before applying transformation) of point B (4,-5) and apply the transformation to each point. Therefore, (x,y) = (4+2,-5-8) = (6,-13)

7 0

3 years ago

Read 2 more answers

Jena walk 6 miles karla walk 3 times as far as jena which expression shows how many karla walk

marta [7]

Answer:

y = 3x

y = 18

Step-by-step explanation:

Let :

Distance walked by Jena = x

Distance walked by Karla = y

x = 6

y = 3x ;

y = 3(6)

y = 18 miles

4 0

3 years ago

Why would understanding perpendicular and parallel lines be extremely important to someone in construction? Provide an example o

Tems11 [23]

Understanding perpendicular and parallel lines are extremely important, especially in the engineering field when building infrastructures or houses because they need to calculate how they will keep a building stable. For example, bridges we see have a lot of perpendicular and parallel lines, that's because without those the bridge can't hold itself up, it needs support from the metals that are parallel and perpendicular.

hope this helps!!

5 0

3 years ago