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avanturin [10]
3 years ago
6

Use the correct order of operations to solve the problem below

Mathematics
1 answer:
andrew11 [14]3 years ago
7 0

Answer:

Step-by-step explanation:

The order of operations can be remembered with PEMDAS:

Parentheses

Exponents

Multiplication and

Division from left to right

Addition and

Subtraction from left to right

Example:

12^2-23+(9*3)

simplify Parentheses:

12^2-23+(27)\\12^2-23+27

simplify Exponents:

144-23+27

simplify Addition and Subtraction left to right:

121+27\\148

Finito.

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago
Read 2 more answers
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.

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3 years ago
I need help with this problem
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Answer:

X=13

Step-by-step explanation:

So if ΔABC ≅ ΔDEC, then that means that ∠B is ≅ ∠E. Therefore you would write the equation 3x=6x-39 and solve for X to get 13.

7 0
3 years ago
5y + 6 = 25 + 6 what property of equality is used
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Addition property
6=6 then 5y+6=25+6
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2 years ago
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