A total of 525 records of a hospital were reviewed and 175 of the patients had a heart problem, 150 a respiratory problem, 125 some type of trauma and 75 had other issues. Find the following.
a. P(some type of trauma)
b. P(a heart or respiratory problem)
c. P(did not have a heart problem)
Answer:
a
Step-by-step explanation:
A random sample of 10 fields of corn has a mean yield of 22.5 bushels per acre and standard deviation of 5.84 bushels per acre. Determine the 99% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The critical value that should be used in constructing the confidence interval is T = 3.25.
The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.25 which is the critical value that should be used in constructing the confidence interval.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 3.25\frac{5.84}{\sqrt{10}} = 6.002[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 22.5 - 6.002 = 16.498 bushels per acre
The upper end of the interval is the sample mean added to M. So it is 22.5 + 6.002 = 28.502 bushels per acre
The 99% confidence interval for the true mean yield is between 16.498 and 28.502 bushels per acre.
How do I solve for d(real answers only please)
9514 1404 393
Answer:
multiply by (d/cos(36°))
Step-by-step explanation:
As with any division problem, the equation remains true if you swap the divisor and the quotient (short answer).
cos(36°) = 16/d
d = 16/cos(36°) = 16/0.8090169943749475 ≈ 19.77708763999635
d ≈ 19.78
__
Here is the longer answer, with respects to the properties of equality. The multiplication and division properties of equality tell you equality only holds if the same operation is performed to both sides of the equal sign. So, when we say "multiply by __", we mean that operation to be performed on boths sides of the equation.
[tex]\cos{(36^{\circ})}=\dfrac{16}{d}\qquad\text{given}\\\\d\cdot\cos{(36^\circ)}=\dfrac{d\cdot 16}{d}=16\qquad\text{multiply by $d$}\\\\\dfrac{d\cdot\cos{(36^\circ)}}{\cos{(36^\circ)}}=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{divide by $\cos{(36^\circ)}$}\\\\d=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{simplify}[/tex]
__
The two operations, multiply by d and divide by cos(36°) can be combined into one: multiply by d/cos(36°). Once you realize this has the effect of the quotient (cos(36°)) and the divisor (d) trading places, you realize you don't need to take 3 steps to do what you can do in 1 step.
_____
Comment on numerical precision
We have kept the 16-digit precision of the numbers shown in the question, "just because." The final answer has 4 significant digits, so there is no real need to keep more than about 6 significant digits.
What is an equation of the line that passes through the point (-4,5) and is
perpendicular to the line 4x + y = 7?
I need help on this.
Answer:
the first one
Step-by-step explanation:
What is 7x^2-5 can u pls tell me I need help
Help and quick! What is the greatest common factor of these numbers. 36 and 54
Answer:
18
Step-by-step explanation:
have a good day :)))))))
Answer:
18
Step-by-step explanation:
the gcf is 18
have a great day!
help pleaseeeeeeeeeeeeeee
Answer:
C.30
Step-by-step explanation:
Its a pattern that increases by $5 as it goes down.
A company makes steel rods shaped like cylinders. Each rod has a radius of 4 centimeters and a height of 20 centimeters. The company uses, on average, 28,134.4cm3 of steel each hour to make these rods. How many rods does the company make, on average, each hour? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest hundredth
Answer:
1,172.3 cm³
Step-by-step explanation:
Find the volume of one rod, then divide the total volume of steel used by the volume of one rod. The volume of one rod is
V = (πd²/4)h
d = 4 cm
h = 20 cm
Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V. If the result is not an integer, then round down.
Add
20 + 4 = 24
Then
28,134.4 ÷ 24 = 1172.26
Rounded to the nearest 0.1 or the Tenths Place = 1,172.3
Therefore, 1,172.3 rods will be made per hour.
Whoever tells me the correct answer gets brainlest and thanks . please help me thanks!
Answer: Rectangle and Parallelogram
Step-by-step explanation:
Answer:
One could be a parallelogram that does not contain an internal right angle and the other a rectangle.
Step-by-step explanation:
NeverReady batteries has engineered a newer, longer-lasting AAA battery. The company claims this battery has an average life span of 17 hours with a standard deviation of 0.8 hours. Your statistics class questions this claim. You randomly select 30 batteries and find that the sample mean life span is 16.7 hours. If the process is working properly,
Answer:
the probability is 0.0202
Step-by-step explanation:
The computation is shown below:
Given that
The Average life span = 17 hours
Standard deviation = 0.8 hours
Sample = 30 batteries
Sample mean = 16.7 hours
Now based on the above information
The probability is
[tex]P (\bar x \leq 16.7) = P (\frac{\bar x - \mu}{(\frac{\sigma }{\sqrt{n} } )} \leq (\frac{16.7 - \mu}{(\frac{\sigma }{\sqrt{n} } )}\\\\= P(z\leq \frac{16.7-17}{\frac{0.8}{\sqrt{30} } } )\\\\= P(\leq -2.05)\\\\= 0.0202[/tex]
Hence, the probability is 0.0202
Find the mean for the data set. 19, 17, 17, 17, 17, 17, 13, 15, 16, 22, 18
Answer:
The mean is 17.091
Step-by-step explanation:
what is the distance between the points (-7,3) and (4,-5)
Answer:
The distance is 185 between the points (-7,3) and (4,-5)
Step-by-step explanation:
Answer:
Hi! The answer to your question is [tex]\sqrt{185}[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
In a right triangle, the length of the hypotenuse is
12 and the length of one leg is 8. What is the
length of the other leg?
Two dice are tossed. Find the probability of getting the sum of the
dice equal to 4. (Hint: Draw a tree diagram of the possibilities of
two tosses of a die, and then find the sum of the numbers on
each branch.)
Answer:
3/36 -> 1/12 or 2/36 -> 1/18
Step-by-step explanation:
1+3, 2+2, 3+1 or 1+3, 2+2, no tree diagram needed
PLS HELP THIS IS DUE IN 10 MINUTES NUMBER 3 AND NO LINKS PLS
Answer:
A. -1/8x + 3/16
Step-by-step explanation:
-1/2(1/4x - 3/8)
Distribute the -1/2 into both the terms in the equation.
-1/2 * 1/4x = -1/8x
-1/2 * -3/8 = 3/16
Now combine both the expressions.
This makes your answer A,
[tex]-\frac{1}{8}x+\frac{3}{16}[/tex]
Write the first six terms of the arithmetic sequence with the given first term, , and common difference, d.
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Answer:
340, 250, 160, 70, -20, -110
Step-by-step explanation:
The first term is given. Each successive term is found by adding the common difference to the one before.
[tex]a_1=\boxed{340}\quad\text{given}\\a_2=340-90=\boxed{250}\\a_3=250-90=\boxed{160}\\a_4=160-90=\boxed{70}\\a_5=70-90=\boxed{-20}\\a_6=-20-90=\boxed{-110}[/tex]
quiz 8-2 trigonometry unit 8
Answer:
The results are presented below.
Question 1 - sin L = [tex]\frac{3}{5}[/tex]
Question 2 - tan N= [tex]\frac{4}{3}[/tex]
Question 3 - cos L = [tex]\frac{4}{5}[/tex]
Question 4 - sin N= [tex]\frac{4}{5}[/tex]
Question 5 - x=8.5
Question 6 - x=27.2
Step-by-step explanation:
For solving this question, you need to apply the right triangle properties and trigonometric ratios in each triangle.
Question 1This question asks the sin L. You can find this value from the trigonometric ratio of sin from given right triangle:
[tex]sin L=\frac{opposite}{hypotenuse} \\\\ sin L=\frac{6}{10}=\frac{3}{5}[/tex]
Question 2This question asks the tan L. You can find this value from the trigonometric ratio of tan from given right triangle:
[tex]tan N=\frac{opposite}{adjacent} \\\\[/tex]
The question gives the adjacent side for N, but you need to find the opposite side from Pythagorean theorem.
[tex]10^2=6^2+(ML)^2\\ 100=36+(ML)^2\\ (ML)^2=100-36\\ (ML)^2=64\\ (ML)=\sqrt{64} \\ (ML)=8\\ or \\ (ML)=-8[/tex]
There is not side with negative dimension, hence, ML=8. Now, you can find the tangent of N.
[tex]tan N=\frac{8}{6} =\frac{4}{3}[/tex]
Question 3This question asks the cos L. You can find this value from the trigonometric ratio of cos from given right triangle:
[tex]cos L=\frac{adjacent}{hypotenuse}[/tex]
The adjacent side (ML) you found in the question 2. ML=8, therefore:
[tex]cos L=\frac{adjacent}{hypotenuse}\\ \\ cos L=\frac{8}{10}=\frac{4}{5}[/tex]
Question 4This question asks the sin N. You can find this value from the trigonometric ratio of sin from given right triangle:
[tex]sin N=\frac{opposite}{hypotenuse} \\\\ sin N=\frac{8}{10}=\frac{4}{5}[/tex]
Question 5You can find x from the trigonometric ratio of cos :
[tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ cos 32=\frac{x}{10}[/tex]
From calculator, you have cos 32° = 0.8480. Then,
[tex]cos 32=\frac{adjacent}{hypotenuse}\\ \\ 0.8480=\frac{x}{10}\\ \\ x=8.5[/tex]
Question 6You can find x from the trigonometric ratio of sin:
[tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ sin 54=\frac{22}{x}[/tex]
From calculator, you have sin 54° = 0.8090. Then,
[tex]sin 54=\frac{opposite}{hypotenuse}\\ \\ 0.8090=\frac{22}{x}\\ \\ 0.8090x=22\\ \\ x=\frac{22}{0.8090} \\ \\ x=27.2[/tex]
Learn more about trigonometric ratio here:
brainly.com/question/11967894
Answer:
Step-by-step explanation:
Help me with the math pretty easy
Which answer BEST describes the following step function graph?
1 point
Cost of T-shirts
200
15
Price Per Shirt
10
5
10
50
60 70
80 90
20 30 40
Number of Shirts
O The price of Tshirts goes up by $5 when the quantity of T-shirts is 20 or more
It costs $20 per shirt for the first 20 shirts purchased and then drops to $15 per shirt
if you purchase 21-40 shirts.
It costs $5 per shirt if you buy 40 or more shirts
It costs $20 per shirt regardless of how many shirt you buy
Answer:
omg what interesting i will see what i will come up with
Which one is not a function? DONT USE THE LINK SCAM, I really need help
girlcome 5324611502
p:here
Answer:
No thanks ~~~~~~~~~~~~
The multiplication rule of counting indicates that the product of the outcomes of each event gives the total number of possible outcomes for the series of all 5 events. There are 5 outcomes for the first city, 4 outcomes for second city, 3 outcomes for the third city, 2 outcomes for the fourth city, and 1 outcome for the final city.
Write the product of the outcomes.
(first city) · (second city) · (third city) · (fourth city) · (final city)
= 5 · 4 · 3 · 2
Note that factorial notation can be used here, since we have the product of consecutive decreasing counting numbers.
Recall that
n! = n(n − 1)(n − 2) 1.
Here,
n = 5
and
5! = 5 · 4 · 3 · 2
Step 3
Multiply to find the total number of possible outcomes.
5! = 5 · 4 · 3 · 2 · 1
= ?
So by the multiplication rule of counting, the sales representative has different choices for the order in which to visit the cities.
Answer:
third city
Step-by-step explanation:
Can someone help me pls
Do they want you to label everything, what are they looking for?
Which is bigger? 9^27 or 3^81? Hint: can you write 9^27?
Answer:
3^81 is bigger
Step-by-step explanation:
3^81=4.43426488e38
9^27=5.8149737e25
how fast does it take a baseball to reach the plate, when pitched by a professional pitcher in baseball?
Answer:
The distance from the pitcher's hand to home plate is 60 feet, 6 inches. So…… At 100 mph the ball covers 146.7 feet per second, or 0.412 seconds to get to the batter. Less than half a second!
y is inversely proportional to the square of p, can be written as: y = O True O False
Answer:
False
Step-by-step explanation:
It should be ∝ .. if that’s what your asking
I need help with this multiple choice question I would really appreciate it if you help!
Step-by-step explanation:
B. not a rational number
What is equivalent to -2(x-5)?
Answer:
-2x+10
Step-by-step explanation:
-2(x-5)
Distribute
-2*x -2*-5
-2x+10
Helpp plzz will mark brainleast
Answer:
can we see the text and part a
like you know the question is asking abt that