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aliya0001 [1]
3 years ago
9

On monday, it took helen 3 hours to do a page of homework. the next day she did the same number of exercises in 2 hours. if her

average rate on monday was P exercises per hour, what was her average rate the next day in terms of P
please don't just answer, explain HOW to set up equation
Mathematics
1 answer:
g100num [7]3 years ago
5 0
The average rate is the number of equations divided by the time to do them.

The number of equations is the rate multiplied by the time.

On Monday, the number of equations is
.. number = rate*time = P*3
On Tuesday, the rate is
.. rate = number/time = (3P)/2 . . . . . Helen's average rate on Tuesday
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Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.
melamori03 [73]

Answer:

a) 0.8413

b) 421

c) P_{95} = 189.675

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of  IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(IQ scores at most 180)

P(x < 180)

P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)

Calculation the value from standard normal z table, we have,  

P(x < 180) = 0.8413 = 84.13\%

b) Number of the members of the club have IQ scores at most 180

n = 500

\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95  

Calculation the value from standard normal z table, we have,  

P(z < 1.645) = 0.95

\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675  

P_{95} = 189.675

8 0
3 years ago
Which pair of complex numbers has a real-number product? (1 + 2i)(8i) (1 + 2i)(2 – 5i) (1 + 2i)(1 – 2i) (1 + 2i)(4i)
kupik [55]

Answer:

(1+2i)(1-2i)

Step-by-step explanation:


5 0
3 years ago
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3^2 - 17x - 28<br> Thank you
V125BC [204]
Simplfy then combine like terms so the anwser Simplified and Evaluated is -17x-19
8 0
3 years ago
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How do you round 1,995,298 to the nearest 10,000
xxTIMURxx [149]
2,000,000 is the answer

5 0
3 years ago
Plz answer its easy math.
Serga [27]
<h2>Greetings!</h2>

Answer:

B and E

Step-by-step explanation:

The rules of indicies states:

x^{a} ÷x^{b} = x^{a-b}

So 3^{-8} ÷  3^{-4} =  3^{-8 - - 4} =  3^{-4}

So that means B is one of the correct answers.

To find the other correct value, you can divide the two fractions as stated in the question:

3^{-8} by 3^{-4} = \frac{1}{81}

81 is equivalent to 3⁴

So that means E is also correct.


<h2>Hope this helps!</h2>
3 0
3 years ago
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