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puteri [66]
2 years ago
15

Please and thank you ​

Mathematics
2 answers:
jenyasd209 [6]2 years ago
7 0

Answer:

6

Step-by-step explanation:

a_sh-v [17]2 years ago
6 0

Answer:

6

Step-by-step explanation:

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Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.
blsea [12.9K]

Answer:

a) Percentage of students scored below 300 is 1.79%.

b) Score puts someone in the 90th percentile is 638.

Step-by-step explanation:

Given : Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

(a) If the average test score is 510 with a standard deviation of 100 points.

To find : What percentage of students scored below 300 ?

Solution :

Mean \mu=510,

Standard deviation \sigma=100

Sample mean x=300

Percentage of students scored below 300 is given by,

P(Z\leq \frac{x-\mu}{\sigma})\times 100

=P(Z\leq \frac{300-510}{100})\times 100

=P(Z\leq \frac{-210}{100})\times 100

=P(Z\leq-2.1)\times 100

=0.0179\times 100

=1.79\%

Percentage of students scored below 300 is 1.79%.

(b) What score puts someone in the 90th percentile?

90th percentile is such that,

P(x\leq t)=0.90

Now, P(\frac{x-\mu}{\sigma} < \frac{t-\mu}{\sigma})=0.90

P(Z< \frac{t-\mu}{\sigma})=0.90

\frac{t-\mu}{\sigma}=1.28

\frac{t-510}{100}=1.28

t-510=128

t=128+510

t=638

Score puts someone in the 90th percentile is 638.

5 0
3 years ago
Between which pair of consecutive integers does √111 lie
lisabon 2012 [21]
B. 10 and 11
This is because 10x10 is 100, so thats less than what you need and then 11x11 is 121, and that is more than you need... So it would be between 10 and 11.
7 0
3 years ago
Read 2 more answers
What is the slope intercept of the equation of the line through the given point (0,3) and (-4,-1)
cestrela7 [59]

Answer:

y=x+3

Step-by-step explanation:

1.) Find slope

slope = (-1-3)/(-4-0)

= -4/-4

= 1

2.) Use point slope form

<u>y-y1= m (x-x1) </u>

both x1 and y1 are the points

m is the slope

3.) Plug in the numbers

for the points I chose (0,3) to plug in

y-3= 1 (x1-0)

y-3= x

y= x+3

8 0
3 years ago
A car travels 2.83 km in the x-direction, then turns left 65.3 ◦ to the original direction and travels an additional distance of
umka21 [38]

Answer:

  4.24 km

Step-by-step explanation:

The x-component of the displacement after the turn is ...

  d2·cos(θ) = (3.38 km)cos(65.3°) ≈ 1.41239 km

Adding this to the displacement before the turn, we have ...

  x-component of displacement = 2.83 km + 1.41 km = 4.24 km

4 0
2 years ago
If the volume of a container is 4*4*4 and you take off 8 what is the volume of the container
IRINA_888 [86]

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

                  Hello!

✧・゚: *✧・゚:*    *:・゚✧*:・゚✧

❖ The volume of the container is 52 units.

4*4*4 = 64

64 - 8 = 52

~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :) ♡

~ ᴄʟᴏᴜᴛᴀɴꜱᴡᴇʀꜱ

5 0
3 years ago
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