Since the scores on the standardized test are approximately normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = test scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 480

σ = 90

If a student has a score of 600, then x = 600

For x = 600,

z = (600 - 480)/90 = 1.33

Looking at the normal distribution table, the probability corresponding to the z score is 0.91

the student's score closest to 91 percentile.

7 0

3 years ago

PLEASE HELP ME ON 6-11 AND SHOW WORK PLEASE!!

pychu [463]

Answer:

6) 6 $\sqrt{2}$

9) 40

10) $\frac{5\sqrt{2} }{2}$

11) 13

Step-by-step explanation:

6)A right triangle rule: if 2 legs are equal, the hypotenuse is the length of that leg* $\sqrt{2}$

9) Pythagorean Theorem

$a^{2} +b^{2} =c^{2}$

We know the hypotenuse (41) so we substitute that for c and 9 for b now we need to find a

$\sqrt{41^{2}-9^{2} }$ which gives us 40

10) same with #6 but we do the opposite. SInce we have the hypotenuse, we can divide that by $\sqrt{2}$ because we know that if 2 legs are equal, the hypotenuse is multiplied by $\sqrt{2}$ . Multiply the numerator and denominator by $\sqrt{2}$ because we can't have a square root in the denominator.

11) like #9 we have the a and b but we need to find c

a=5 b=12 c=r

so $\sqrt{5^{2}+12^{2} }$ which gives us 13

6 0

3 years ago

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