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larisa86 [58]
3 years ago
8

How can I convert units of capacity

Mathematics
1 answer:
dusya [7]3 years ago
4 0
Use the king Henry method
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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
6z½ write each expression in radical form ​
IRISSAK [1]

Answer:

6√z

Step-by-step explanation:

4 0
3 years ago
6. You want to save $1,000,000 in 40 years at a 3.5% interest rate. What is the principal (initial amount) you need to invest? R
labwork [276]

Answer:

When you deposit money in a bank, the bank usually pays you for the use of your money. When you take out a loan from a bank, you have to pay the bank for the use of their money. In both cases, the money paid is called the interest. It is usually expressed as a percent. Here we shall look at a formula for simple interest.

3 0
3 years ago
What equation can be used?
Kryger [21]

Answer:

f(x)=89x+1800

Step-by-step explanation:

$1800 is spent on a washing machine. This number never changes, so we just need to add that to our annual total

$89 is spent every year. This means that this number needs to be with our variable, x, as it is dependent on the number of years that occur. When we put these two things together, we get the following equation:

f(x)=89x+1800

5 0
3 years ago
What is an angle coterminal to 5pi/7
grigory [225]
(5*180)/7=900/7=128.5714285714286

The angle is approximately 129 degrees.
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4 0
3 years ago
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