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Over [174]
3 years ago
10

Using the curve CD in the picture below, which is the graph of a function f, find:

Mathematics
1 answer:
Roman55 [17]3 years ago
6 0

Answer:

Step-by-step explanation:

when y=-1 x= undefined

when y= 0 x=-3, x= 6

when y = 2 x=-2.25 , x=0.75

when y = 3 x = undefined

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The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15.
evablogger [386]

Answer:

4.4% of the population with IQ between 120 and 125.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

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

a) Let X be a person's IQ score.

Then, density functions for IQ scores is given by:

P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{z^2}{2}}\\\\\text{where,}\\\\z = \frac{x-\mu}{\sigma}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-100)^2}{450}}

b) P(population with IQ between 120 and 125.)

Formula:

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

P(120 \leq x \leq 125) = P(\displaystyle\frac{120 - 100}{15} \leq z \leq \displaystyle\frac{125-100}{15}) = P(1.33 \leq z \leq 1.66)\\\\= P(z \leq 1.66) - P(z < 1.33)\\= 0.952 - 0.908 = 0.044 = 4.4\%

P(120 \leq x \leq 125) = 4.4\%

6 0
3 years ago
Georgia ran a 5-kilometer race. How many meters did she run?
kumpel [21]

Answer:

Georgia ran 5000 meters

Step-by-step explanation:

1 kilometer = 1000 meter

4 0
3 years ago
Read 2 more answers
Х
victus00 [196]

Answer:

the answer will be table -1

Step-by-step explanation:

3 0
3 years ago
On her way to visit her parents,jennifer drives 265 miles in 5 hours. What is her average rate of speed in miles per hour?
Nutka1998 [239]
Her total distance (so 265 miles) over the number of hours she drives will give miles per hour. 
265miles/5hours=53 miles/hour
5 0
3 years ago
Read 2 more answers
Sarah had 730 m of lace to decorate some dresses. She used 4 m of lace to decorate each dress and had 510 m of lace left. Then,
pashok25 [27]
Answer:
$5830.


Explanation:
730-510=220m
220/4=55 dresses made
55*106=$5830
6 0
2 years ago
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