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wlad13 [49]
3 years ago
11

The amount of rainfall in january in a certain city is normally distributed with a mean of 4.3 inches and a standard deviation o

f 0.3 inches. find the value of the quartile q1. 1.1 4.2 4.1 4.5

Mathematics
1 answer:
Sholpan [36]3 years ago
7 0
We start by showing the position of the first quartile, Q1 on the normal distribution graph. Q1 happens at 25% of the data.

The graph is shown below

We are interested in the area to the left of Q1 and we know that the probability is 0.25

We can find out the value of z-score from the table as shown below 

The z-score when p=0.25 is 0.68

then changing this z-score into the actual value

-0.68= \frac{X-4.3}{0.3}
-0.204=X-4.3
X=4.096

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An environmental group at a local college is conducting independent tests to determine the distance a particular make of automob
melomori [17]

Answer:

26.5265

Step-by-step explanation:

<u>Confidence Interval</u>

When the population standard deviation \sigma is known, the formula for a confidence interval for a population mean \bar x is:

\displaystyle \bar x \pm z\frac{\sigma}{\sqrt{n}}

Where n is the sample size and z is the corresponding z-value from the standard normal distribution for the selected confidence level. The value of z for a 95% confidence interval is z=1.96. The rest of the values are

\bar x=28.2,\ \sigma=2.7, \ n=10

Calculating the confidence interval

\displaystyle 28.2 \pm 1.96\frac{2.7}{\sqrt{10}}

\displaystyle 28.2 \pm 1.6735

Or, equivalently

26.5265

6 0
3 years ago
Someone help me please and thank you!! ASAP :(
pantera1 [17]
<h3>Answer: Choice D) </h3>

Work Shown:

(f+g)(x) = f(x)+g(x)\\\\(f+g)(x) = \frac{x-23}{x^2+9x-36}+\frac{1}{x+12}\\\\(f+g)(x) = \frac{x-23}{(x+12)(x-3)}+\frac{1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+1(x-3)}{(x+12)(x-3)}\\\\(f+g)(x) = \frac{x-23+x-3}{x^2+9x-36}\\\\(f+g)(x) = \frac{2x-26}{x^2+9x-36}\\\\

We must require that x \ne -12 and x \ne 3 to avoid having 0 in the denominator. This is why choice D is the answer.

3 0
3 years ago
What is X when 19,695 divided by X-15,605 = 100
Zepler [3.9K]

Step-by-step explanation:

\frac{19695}{x - 15605}  = 100

19695 = 100(x - 15605)

19695 = 100x - 1560500

19695 + 1560500 = 100x

15801 95 = 100x

\frac{1580195}{100}  = x

x = 15801.95

3 0
2 years ago
Harley read 5 books in january, 8 books in february, 4 books in march and 7 books in april. what is the average number of books
Andrej [43]

Answer:

B: 6

Step-by-step explanation:

Find the mean:

5+8+4+7= 24

24/4=6

7 0
2 years ago
15 points!!
saveliy_v [14]

Answer:

b

Step-by-step explanation:

9x7.8x1/2x12

6 0
2 years ago
Read 2 more answers
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