binomial 90 percent of patients in the emergency room at the local hospital are insured. in a random sample of 100 patients, what is the probability that exactly 12 will be uninsured?
Answers
So, the probability that exactly 12 patients will be uninsured in a random sample of 100 is approximately 0.027 or 2.7%.
How to find the probability?To find the probability that exactly 12 patients will be uninsured in a random sample of 100, we need to use the binomial probability formula. Here's the step-by-step explanation:
1. Identify the relevant parameters:
- The probability of being insured is 90%, so the probability of being uninsured is 10% (1 - 0.90 = 0.10).
- We have a random sample of 100 patients (n = 100).
- We want to find the probability that exactly 12 patients will be uninsured (x = 12).
2. Apply the binomial probability formula:
P(X = x) = C(n, x) * p^x * (1-p)^(n-x)
where C(n, x) is the number of combinations of n items taken x at a time, p is the probability of success (being uninsured), and n and x are as defined above.
3. Calculate the probability:
P(X = 12) = C(100, 12) * (0.10)^12 * (0.90)^(100-12)
= 1617009477450 * (1e-12) * (0.9)^88
≈ 0.027
So, the probability that exactly 12 patients will be uninsured in a random sample of 100 is approximately 0.027 or 2.7%.
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Related Questions
You perform a Chi-Square test and obtain a p-value lower than 0.01. What does that mean?
Answers
Performing a Chi-Square test is a statistical tool used to determine if there is a significant difference between observed and expected data. The test helps to analyze categorical data by comparing observed frequencies to the expected frequencies. The p-value in a Chi-Square test refers to the probability of obtaining the observed results by chance alone.
If a p-value lower than 0.01 is obtained in a Chi-Square test, it means that the results are statistically significant. In other words, there is strong evidence to reject the null hypothesis, which states that there is no significant difference between the observed and expected data. This means that the observed data is not due to chance alone, but rather to some other factor or factors.
The mean, or average, is not directly related to the Chi-Square test or the p-value. The Chi-Square test is specifically used to determine the significance of the observed data. However, the mean can be used as a measure of central tendency for continuous data, but it is not applicable to categorical data.
In conclusion, obtaining a p-value lower than 0.01 in a Chi-Square test means that there is strong evidence to reject the null hypothesis, and that the observed data is statistically significant.
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Find the value of x.
Answers
Answer:
A. 98
Step-by-step explanation:
This is the exterior angle theorem I'm pretty sure.
This means that 24 + x, would equal 122.
So, 24 + x = 122.
Do the algebra. Subtract on both sides, so 122 - 24 would be 98.
So x = 98
Angle BAD and angle BAC are supplementary angles, which means they add up to 180 degrees.
180 = 122 + ?
Subtract 122 from both sides.
BAC = 58 degrees.
We know that the sum of all the interior angles of a triangle is 180 degrees.
180 = 24 + 58 + x
Combine like terms.
180 = 82 + x
Subtract 82 from both sides.
98 degrees = x
Answer choice A is correct
Find the perimeter of the triangle whose vertices are the following specified points in the plane.
(5,6), (4,1) and (-4,2)
Answers
Answer:
23 units
Step-by-step explanation:
Let the vertices of the triangle be A(5,6), B(4,1) and C(-4,2)
Perimeter of the triangle = AB + AC + BC
AB = √(5-4)²+(6-1)²
AB = √1²+5²
AB = √1+25
AB = √26
For BC where B(4,1) and C(-4,2)
BC = √(4-+4)²+(1-2)²
BC = √8²+1²
BC = √64+1
BC = √65
For AC where A(5,6) and C(-4,2)
AC = √(5+4)²+(6-2)²
AC = √9²+4²
AC = √81+16
AC = √97
Perimeter = √97 + √26 + √65
Perimeter = 9.85+5.09+8.06
Perimeter = 23
Hence the perimeter of the triangle is approx 23 units
plz someone help me..
Answers
Correct me if im weong
Please help me....Use the Pythagorean identity
Answers
Using the Pythagorean identity, the value of the cosine ratio is \(\cos(\theta_1) = \frac{84}{85}\)
How to determine the cosine ratio?The given parameter is:
\(\sin(\theta_1) = -\frac{13}{85}\)
By the Pythagorean identity, we have:
\(\sin^2(\theta_1) + \cos^2(\theta_1) = 1\)
So, we have:
\((-\frac{13}{85})^2 + \cos^2(\theta_1) = 1\)
This gives
\(\cos^2(\theta_1) = 1 - (-\frac{13}{85})^2\)
Evaluate
\(\cos^2(\theta_1) = 1 - \frac{169}{7225}\)
Take LCM
\(\cos^2(\theta_1) = \frac{7225 -169}{7225}\)
This gives
\(\cos^2(\theta_1) = \frac{7056}{7225}\)
Take the square root of both sides
\(\cos(\theta_1) = \pm \frac{84}{85}\)
Cosine is positive in the fourth quadrant.
So, we have:
\(\cos(\theta_1) = \frac{84}{85}\)
Hence, the cosine value is \(\cos(\theta_1) = \frac{84}{85}\)
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find the value of X what is the value of X?
Answers
\( \sqrt{36 - 25} = \sqrt{11} \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)
the mean of five numbers is 15. Four of the numbers are 3, 19, 8, and 32. What is the fitch number.
Answers
Answer:
,15
Step-by-step explanation:
ez
A school purchased sand to fill a sandbox on its playground. The dimensions of the sandbox in meters and the total cost of the sand in dollars are known. Which units would be most appropriate to describe the cost of the sand?
Answers
The most appropriate units to describe the cost of the sandbox would indeed be dollars.
When describing the cost of an item or service, it is essential to use the unit that represents the currency being used for the transaction. In this case, the total cost of the sand for the school's sandbox is given in dollars. To maintain consistency and clarity, it is best to express the cost in the same unit it was provided.
Using dollars as the unit for the cost allows for clear communication and understanding among individuals involved in the transaction or discussion. Dollars are widely recognized as the standard unit of currency in many countries, including the United States, where the dollar sign ($) is commonly used to denote monetary values.
Using meters, the unit for measuring the dimensions of the sandbox, to describe the cost would be inappropriate and could lead to confusion or misunderstandings. Mixing units can cause ambiguity and hinder effective communication.
Therefore, it is most appropriate to describe the cost of the sand in dollars, aligning with the unit of currency provided and commonly used in financial transactions. This ensures clarity and facilitates accurate comprehension of the cost associated with the sand purchase for the school's sandbox.
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a grocery store has an average sales of $8000 per day. the store introduced several advertising campaigns in order to increase sales. to determine whether or not the advertising campaigns have been effective in increasing sales, a sample of 100 days of sales was selected. it was found that the average was $8200 per day. from past information, it is known that the standard deviation of the population is $1500. the correct null hypothesis for this problem is
Answers
The correct null hypothesis for the given problem is \(H_0\) : μ = 8000.
To obtain the correct null hypothesis for the given problem, follow the given below steps:
Firstly, recall that the null hypothesis ( \(H_0\) ) is a statistical assumption used in hypothesis testing.
It is a statement that is assumed to be true until it is proven false by the alternative hypothesis.
Secondly, recall that the null hypothesis is the opposite of the alternative hypothesis (\(H_1\)), which is the statement that researchers want to prove to be true.
Thirdly, recall that the null hypothesis for a population mean is as follows:
\(H_0\) : μ = \(\mu_o\)
where μ represents the population mean and
\(\mu_o\) represents the hypothesized population mean.
Therefore, for the given problem, the correct null hypothesis is:
\(H_0\) : μ = 8000.
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Please answer it now in two minutes
Answers
Answer:
0.9
Step-by-step explanation:
This is a sine triangle. We have the hypotenuse (7) and an angle opposite of x (6). The formula for sine is opposite/hypotenuse; 6/7 = 0.8571428571428571. This, rounded to the nearest tenth, is 0.9.
Answer:
59 degrees
Step-by-step explanation:
Sin = opposite / hypotenuse
In this case sin is 6/7
To find the angle of this we need to use the arcsin, or sin^-1 function
Arcsin(6/7) = 58.9972809 degrees
This gets rounded to 59 degrees
Part 1: Given cosine of theta is equal to radical 3 over 2 comma determine three possible angles θ on the domain [0,[infinity]). Part 2: Given θ = 495°, convert the value of θ to radians and find sec θ.
Answers
The required answer is sec θ = -√2.
Explanation:-
Part 1: Given cosine of theta is equal to radical 3 over 2 on the domain [0,[infinity]).
To determine three possible angles θ, the cosine inverse function which is a cos and since cosine function is positive in the first and second quadrant. Therefore conclude that, cosine function of θ = radical 3 over 2 implies that θ could be 30 degrees or 330 degrees or 390 degrees. So, θ = {30, 330, 390}.Part 2:To convert 495° to radians, multiply by π/180°.495° * π/180° = 11π/4To find sec θ, we use the reciprocal of the cosine function which is sec.
Therefore, sec θ = 1/cos θ.To find cos 11π/4, the reference angle, which is 3π/4. Cosine is negative in the third quadrant so the final result is sec θ = -√2.
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What is the area of a circular pizza with a radius of 9 cm? b. 28.3c * m ^ 2 od. 1017.9c * m ^ 2 c. 254.5c * m ^ 2 a. 56.5c * m ^ 2
Answers
Answer:
254.5 cm²
Step-by-step explanation:
area = πr²
area = 3.14159 × (9 cm)²
area = 254.5 cm²
A student found a strong correlation between the age of people who run marathons and their marathon time. Can the student say that young people will run marathons faster than older people? Explain.
Answers
According to strong correlation, as the age of people increases, their marathon time increases.
What is correlation?Correlation of two pairs of data values tells about the degree of movement(along or opposite) that can occur in one of the data values when other data value is increased or decreased respectively.
The correlation coefficient is the degree of association between two quantities in terms of linear relation.
The range of correlation coefficient lies -1 to 1
Let Elite marathon race times improved from 5 to ~20 years, remained linear between ~20 and ~35 years, and started to increase at the age of ~35 years in a curvilinear manner with increasing age in both women and men.
The difference in elite marathon race time increased non-linearly and was lowest at the age of ~49 years so, older people take more time to complete.
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Low Med offers to
prescription drug insurance plans. With plan 1,
James would pay the first $150 of his preseription
costs and 30% of all costs after that. With plan 2
James would pay the first $280 of costs, but only
10% of the rest. For what amount of prescription
costs will plan 2 save James money? (Assume that
his prescription costs exceed $280)
Answers
Answer:
$ 650
Step-by-step explanation:
Plan 1: y=0.3x + 150
Plan 2: y=0.1x + 280
O.3x + 150 > 0.1x + 280
0.3x - 0.1x > 280-150
0.2x > 130
x > 130/0.2
x > 650
Guided Practice
A recursive formula for a geometric sequence is given. What is an explicit formula for this sequence?
a1=100an=12 · an−1a subscript 1 baseline equals 100 line break a subscript n baseline equals one-half times a subscript n minus 1 baseline
A.
an=12 · 100n−1a subscript n baseline equals one half times 100 superscript n minus 1 baseline
B.
an=100 · (12)n−1a subscript n baseline equals 100 times left parenthesis one half right parenthesis superscript n minus 1 baseline
C.
an=100+(12)n−1a subscript n baseline equals 100 plus left parenthesis one half right parenthesis superscript n minus 1 baseline
Answers
Answer: The Answer IS Either Letter B Or Letter C
B.
an=100 · (12)n−1a subscript n baseline equals 100 times left parenthesis one half right parenthesis superscript n minus 1 baseline
Step-by-step explanation: I Think The Answer IS Letter B
Simplify the matrix.
a = 100 ,
a n = 12 a n − a ,
1 ,
100 ,
n , − h a l f ,
n ,
1
...............................................................................................................................................
Scenario 1A Calculate the following amounts for a participating provider who bills Medicare and has no deductible left. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Coinsurance amount (20% paid by) $ Medicare payment (80 percent of the PFS) $ Provider write-off $ Scenario 1B Calculate the following amounts for a participating provider who bills Medicare and remaining annual deductible for the patient. Submitted charge (based on provider’s regular fee) $650 Medicare participating physician fee schedule (PFS) $450 Patient pays $100 remaining on their deductible $ Remaining amount for Insurance and patient to pay $ (PFS - $100) Coinsurance amount (20% of remaining amount) $ Total paid by patient (deductible & 20% of remaining) $ Medicare payment (80 percent of the remaining amount) $ Provider write-off $
Answers
Scenario 1A:
Coinsurance amount is $90
Medicare payment is $360
Provider write-off is $290
Scenario 1B:
Remaining amount for Insurance and patient to pay is $350
Coinsurance amount is $70
Total paid by patient is $170
Medicare payment is $280
Provider write-off is $370
Scenario 1A:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Coinsurance amount (20% paid by patient): $
Medicare payment (80% of the PFS): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Coinsurance amount (20% paid by patient):
Coinsurance amount = 20% of the Medicare participating physician fee schedule (PFS)
Coinsurance amount = 0.2 * $450 = $90
Medicare payment (80% of the PFS):
Medicare payment = 80% of the Medicare participating physician fee schedule (PFS)
Medicare payment = 0.8 * $450 = $360
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $360 = $290
Scenario 1B:
Submitted charge: $650
Medicare participating physician fee schedule (PFS): $450
Patient pays $100 remaining on their deductible
Remaining amount for Insurance and patient to pay: $
Coinsurance amount (20% of remaining amount): $
Total paid by patient (deductible & 20% of remaining): $
Medicare payment (80% of the remaining amount): $
Provider write-off: $
To calculate the missing amounts, we can use the provided information:
Remaining amount for Insurance and patient to pay:
Remaining amount for Insurance and patient to pay = PFS - remaining deductible
Remaining amount for Insurance and patient to pay = $450 - $100 = $350
Coinsurance amount (20% of remaining amount):
Coinsurance amount = 20% of the remaining amount
Coinsurance amount = 0.2 * $350 = $70
Total paid by patient (deductible & 20% of remaining):
Total paid by patient = remaining deductible + coinsurance amount
Total paid by patient = $100 + $70 = $170
Medicare payment (80% of the remaining amount):
Medicare payment = 80% of the remaining amount
Medicare payment = 0.8 * $350 = $280
Provider write-off:
Provider write-off = Submitted charge - Medicare payment
Provider write-off = $650 - $280 = $370
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What are the coordinates for a dilated triangle, A'B'C', if
the scale factor for the dilation is 0.75?
Answers
Answer:
3
Step-by-step explanation:
Answer: Answer is D
Step-by-step explanation:
I just did the question
31 divided by 6263
pls help me by giving
a answer
Answers
Rounded Answer:
0.005 or 0.0049
please help me i really need it
Answers
Answer:
Step-by-step explanation:
From the given information, we know that 14 boys chose German and 10 boys chose French. However, we don't have data on the number of girls choosing German or French.
Let's assume x girls chose German and y girls chose French.
Therefore, the completed two-way table would look like this:
French German Total
-----------------------------------
Boys 10 14 24
Girls y x x+y
Total 10+x 14+y 50
As for calculating the probability of picking a boy who chose German, we can use the formula:
P(Boy and German) = Number of boys who chose German / Total number of students
= 14 / 50
= 0.28 or 28%
Please note that without information about the number of girls choosing German or French, we cannot determine the specific values for boys and girls in each category.
SOMEONE DO NUMBER 2 FOR ME IM CONFUSED PLEASE IM CRYING
Answers
Answer:
3.
Step-by-step explanation:
Factor: 5
Composite Number: 2
Prime Number: 6
Operation: 8
Integers: 3
Negative Number: 4
Positive Number: 7
Expression: 1
If n+ 2 is divisible by 2 then which statement is always True?
A- n is an even number
B - n is an odd number
C- n is a prime number
D- b is equal to n + 1.
Answers
Answer:
the right answer is A
Step-by-step explanation:
the even number can be always divided by 1,2 and themselves
If is an altitude of ΔABC, then ∠ADB is:
45º.
90º.
120º.
None of these choices are correct.
Answers
Answer:
The answer will be 90° as you can see ADB makes a right angle and right angle is of 90° so this is the right answer
help quick its due in 15 minutes
2(x + 7) =
7th grade math
Answers
Answer:
2x+14
Step-by-step explanation:
2(x+7)
2x+2x7
then you have your answer 2x+14
2x +14
X+7
This is the answer
The exact circumference of a circle is 15.6π inches. What is the approximate area of the circle? Use 3.14 for π . Round to the nearest hundredth if necessary. Explain how you found your answer.
Answers
Answer:
r = 3.95
Explanation:
A = \(\pi {r}^{2} \)
3.14r² = 15.6 (3.14)
Divide by 3.14
r² = 15.6
r = \( \sqrt{15.6} \)
r ≈ 3.95
For the function below find a) the critical numbers; b) the open intervals where the function is increasing, and c) the open intervals where it is decreasing f(x)=8x³-42x-48x + 4 a) Find the critical number(s). Select the correct choice below and, if necessary fill in the answer box to complete your choice. A. The critical number(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed
Answers
A) Function is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).
b) The local minimum value of f is; 5608/2197 at x = -42/13, and the local maximum value of f is 139/8 at x = 7/2.
(a) To determine the intervals on which f is increasing or decreasing, we need to determine the critical points and then check the sign of the derivative on the intervals between them.
f(x)=8x³-42x-48x + 4
f'(x) = 24x² - 90
Setting f'(x) = 0, we get
24x² - 90 = 0
24x² = 90
x =± √3.75
So, the critical points are;
x = -1 and x = 7/2.
We can test the sign of f'(x) on the intervals as; (-∞, -1), (-1, 7/2), and (7/2, ∞).
f'(-2) = 72 > 0, so f is increasing on (-∞, -1).
f'(-1/2) = -25 < 0, so f is decreasing on (-1, 7/2).
f'(4) = 72 > 0, so f is increasing on (7/2, ∞).
Therefore, f is increasing on (-∞, -1) and (7/2, ∞), and decreasing on (-1, 7/2).
(b) To determine the local maximum and minimum values of f, we need to look at the critical points and the endpoints of the interval (-1, 7/2).
f(-1) = -49
f(7/2) = 139/8
f(-42/13) = 5608/2197
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pls help if you can asap!!!!
Answers
Answer: x= 6
Step-by-step explanation:
Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.
You can see they do not look the same so they add up to equal 180
12x + 3 +105 = 180
12x + 108 = 180
12x = 72
x = 6
HELP Consider the algebraic expressions 3x, 9x, 4x, 23x, 6x,
and 3x
. Assume x>0
.
a. Find the mean, median, and mode.
The mean is
.
The median is
.
The mode is
.
Answers
Answer:
Step-by-step explanation:
mean:8x
median: 4x and 6x
mode: 3x
HELP PLEASE —-Write the slope-intercept form of the given line. Include your work in your final answer.
Answers
Answer:
y = 1x -1
Step-by-step explanation:
The slope is 2/2, which simplifies to 1, and the line crosses the y axis at -1 .
(A) I (B) II (C) III (D) IV (E) V (F) VI (G) VII
Answers
Answer:
a and c
Step-by-step explanation:
mr rolando sold the house and that at 10, 500,000,000.00 if he will receive 4% commansion, how much his commansion?
Answers
Answer:
$420,000,000
Step-by-step explanation:
Multiply 10,500,000,000 by .04.
Hope this helps!