Using the normal distribution, we have that:
a) The proportion of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.
b)
Q1 = 1365.
Q2 = 1635.
IQR = 270.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For this problem, N(1500, 200) means that [tex]\mu = 1500, \sigma = 200[/tex].
Item a:
The proportion that are medium-sized is the p-value of Z when X = 1750 subtracted by the p-value of Z when X = 1250, thus:
X = 1750:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1750 - 1500}{200}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
X = 1250:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1250 - 1500}{200}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a p-value of 0.1056.
0.8944 - 0.1056 = 0.7888 are medium.
1 - 0.7888 = 0.2112.
The proportion of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.
Item b:
Q1 is the first quartile, which is the 25th percentile, given by X when Z has a p-value of 0.25, so X when Z = -0.675. Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 1500}{200}[/tex]
[tex]X - 1500 = -0.675(200)[/tex]
[tex]X = 1365[/tex]
Thus, Q1 = 1365.
Q3 is the third quartile, which is the 75th percentile, given by X when Z has a p-value of 0.75, so X when Z = 0.675. Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 1500}{200}[/tex]
[tex]X - 1500 = 0.675(200)[/tex]
[tex]X = 1635[/tex]
Thus, Q3 = 1635.
The IQR is the difference between Q3 and Q1, that is:
[tex]IQR = Q3 - Q1 = 1635 - 1365 = 270[/tex]
Then, IQR = 270.
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Find the quotient of 5 ÷ 1 8 .
A.5/8
B.8/5
C.4
D.40
5÷18
answer D 40 quotient
A bank account appreciates at a rate if 0.05%
Answer:
if this is a true or false question it would be false...
Step-by-step explanation:
each bank has different fees and percentage rates, hope this helps
Solve this equation involving decimals:
8.4 + 0.18x = 0.32x
Answer
hoi
Step-by-step explanation:
hi
Answer:
C) x = 60
Step-by-step explanation:
HELP WILL GIVE BRAINLEIST AND LOVE YOU FOREVER
The chart below shows one store's sales of computers, listed by model. 2 circle graphs. A circle graph titled May. Poreg, 262; Quilren, 282; Dinztop, 223; Quilren 2, 135; Juvanto, 148. A circle graph titled June. Poreg, 173; Quilren, 184; Dinztop, 148; Quilren 2, 153; Juvanto, 212. If the changes in sales between May and June continue at the same rate, how many total computers will be sold in July? a. 534 b. 721 c. 1,019 d. 1,254
Answer:
The answer is B, 721
Step-by-step explanation:
edge 2021
The total computers will be sold in July will be equal to 98 computers.
How is the percentage of a value calculated?The percentage represents a value divided by 100. In this way, saying 25% of a value is the same as saying 25 out of 100, that is, 25 divided by 100. And to find the exact number of absentees in the event, just multiply the whole by the percentage
So in this case, we have the information that:
May: 223 Dinztop salesJune: 148 Dinztop sales.Using the percentage we have:
[tex]p=\frac{148}{223} = 0.6637[/tex]
This value in percentage that will be:
[tex]0.6637*100\%= 66.37\%[/tex]
Because of the same percent rate, the amoutns sold in June:
[tex]66.37\%*148=98[/tex]
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the vertex of the parabola below is at the point (5,-3). which of the equations below could be the one for this parabola?
Answer: ty for the points
Step-by-step explanation:
x+-3(y+3)2+5
List the following rational numbers in order from least to greatest -1/2, 2.5, -8 1/4,
1 1/2,-1.5,3
I need help on both of these please and no links
Answer:
1) (-5, -4) and (0, 1)
2) 1:8
Step-by-step explanation:
PLEASE HELP I NEED THIS NOW, AND IS POSSIBLE A EXPLICATION
Answer:
you forgot the pic
Step-by-step explanation:
What is the equation of a vertical line passing through the point (−4, 7)? (5 points) a y = 7 b y = −4 c x = 7 d x = −4
Answer:
X=-4
Step-by-step explanation:
vertical line is in the form of X=a which is -4
Bert draws a card from a deck of cards and Ernie rolls a six sided die at the same time.
Compute the probability that Bert gets a King and Ernie rolls a twenty.
SIMPLIFY AND GIVE THE FINAL ANSWER.
If 50% of an item is $5.00, what is the original price?
Answer:
$10.00
Step-by-step explanation:
half of 100 is 50
and half of 10 is 5
For every four female students in a training class, there are two men. There are seven male students. What is the total number of students in cass?
Answer:
it may be 19 or 20 but I may be wrong
Step-by-step explanation:
sorry if I'm wrong
HELP
What is the correct rule for y, in terms of x?
Answer:
please the question is not complete
The phrase "y is a function of x" means that the value of y depends upon the value of x, so: y can be written in terms of x (e.g. y = 3x ). If f(x) = 3x, and y is a function of x (i.e. y = f(x) ), then the value of y when x is 4 is f(4), which is found by replacing x"s by 4"s .
In which step does a mistake first occur?
(24+3 + 10)-14 +2
Step 1: (8 + 10) -14 + 2
Step 2: 18 -14+2
Step 3: 4+2
Step 4: 2
Answer:
The step that a mistake first occurs is in step 1.
Step-by-step explanation:
In step one, the constants in the parenthesis went from 24 + 3 + 10 to 8 + 10, which is essentially impossible, so step 1 was the step where a mistake first occurred.
What is the value of the variable x?
Answer:
x = [tex]\sqrt{2}[/tex]
Step-by-step explanation:
pythagorean theorem:
x² + 2² = ([tex]\sqrt{6}[/tex])²
x² + 4 = 6
x² = 2
x = [tex]\sqrt{2}[/tex]
2x+2y= 24
x=3y
What is the value of x+y?
Answer:
x = 9
y = 3
Step-by-step explanation:
2x + 2y = 24 is the same as x + y = 12
using substitution, x = 12-y
12 - y = 3y
12 = 4y
y = 3
x = 3(3)
x = 9
The value of x + y for the given system of equations 2x+2y= 24 and x=3y will be 12.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
The equation must be constrained with some constraints.
As per the given system of equations,
2x+2y= 24
x=3y
Take common 2 from 2x+2y= 24 as
2(x + y) = 24
Divide by 2 into both sides
x + y = 12
Hence "The value of x + y for the given system of equations 2x+2y= 24 and x=3y will be 12".
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What is the sum of the series? 84 Σ k=1 (3k − 8)
Answer:
What is the sum of the series? 84 Σ k=1 (3k − 8)
10,038
Step-by-step explanation:
Answer is C
Answer:
1. C. 10,038
2. C. 530,556
Step-by-step explanation:
Edge
: If m∠2=85.1° m ∠ 2 = 85.1 ° , then what is m∠4 m ∠ 4 ?
Answer:
In what figure?
I cannot determine the answer without proper information.
For the equation, complete the given ordered pairs.
3x-y=4
{0,_} [1,_} {_,4}
Hi
3x-y = 4
so y = 4-3x = -3x +4
now you just have to remplace X by the first number given.
for 0 you have : y = -3*0 +4 = 4
so it's 0; 4
I let you do the others. No difficulties.
Describe several methods you could use to determine the rational zeros of a polynomial function. Which would you choose to use first? Explain.
Answer:
The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function.
Step-by-step explanation:
Answer:
The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function.
Step-by-step explanation:
There are 3 flag stamps and 7 follower stamps in Noelle’s stamp collection. What is the ratio of flower stamps to flag stamps
If m is an integer, then 8 x 10^m is equal to 8.
Answer:
No this is not true.
Step-by-step explanation:
An integer is a whole number and not a fraction.
An integer can be 0, 1, 3, 16, 18, 100, etc.
But an integer is either 0 - infinity.
For 8 * 10^m to equal 8, it has to be a fraction.
So, m can not be a integer. This is wrong.
Hope this helps! :)
Which of the following conversions is correct?
A. 1 cup is equivalent to 2 pints.
B. 4 pints is equivalent to 1 quart.
C. 1 gallon is equivalent to 128 fluid ounces.
D. 1 quart is equivalent to 8 cups.
Answer:
C. 1 gallon is equivalent to 128 fluid ounces.
Step-by-step explanation:
What is the volume?
12ft
15ft
7ft
Answer:
1260
Step-by-step explanation:
State the Limits Rule and explain what it means
Answer:
The limit of a sum is equal to the sum of the limits.
Step-by-step explanation:
The limits of a constant times a function is equal to the constant times the limit of the function.
At the close of one business day, TNT stock was trading at $40 per share. At the close of the next business day, the stock was trading at $43 per share. Find the percent of increase
Find the increase amount:
43-40 = 3
Divide increase amount by starting value:
3/40 = 0.075
Multiply by 100:
0.075 x 100 = 7.5% increase
Nathaniel, a meteorologist, keeps track of the amount of rain each year relative to the amount of rain in
2000. Two years of data are shown in the table below.
Year
Amount of rain relative to 2000 (in cm)
2004
27
2005
-49
Which one of the following inequalities correctly compares the relative amounts of rain?
Choose 1 answer:
27 <-49
-4927
Which one of the following descriptions is correct?
Choose 1 answer:
There was less rain in 2004 than in 2005.
there was less rain in 2005 than in 2004
Answer:
Both answers are the first option.
Step-by-step explanation:
Question 1: 27 is greater than -49, so that is why the first option for question one is correct.
Question 2:-49 is less than 27 so that is why 2005 had less rain compared to 2004.
The correct inequality comparison is 27 > -49.
The correct description is: There was less rain in 2005 than in 2004.
What is inequality?Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
When we compare the relative amounts of rain in the table, we see that the amount of rain in 2005 (-49 cm) is less than the amount of rain in 2004 (27 cm).
The correct inequality comparison is: 27 > -49
The minus sign in front of 49cm in 2005 indicates that the amount of rain is less than the amount of rain in 2000.
So, the correct description is: There was less rain in 2005 than in 2004.
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I need help with this I will mark you if you get it right
Answer:
I thinks its D have a nice day
Step-by-step explanation:
Add 12 and 8 and then divide by 8 as an expression help please
Answer:
(12 + 8)/8 = 2.5
Answer:
12 + 8/8 =?
20/8 =?
20/8 = 2.5
Step-by-step explanation:
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