Answers
Answer:
10
Step-by-step explanation:
Pythagorean theorem
6²+8²=c²
36+64=c²
100=c²
√100=c
10=c
Related Questions
A healthcare provider monitors the number of CAT scans performed each month in each of its clinics. The most recent year of data for a particular clinic follows (the reported variable is the number of CAT scans each month expressed as the number of CAT scans per thousand members of the health plan):
2.31, 2.09, 2.36, 1.95, 1.98, 2.25, 2.16, 2.07, 1.88, 1.94, 1.97, 2.02.
a. Find a 95% two-sided CI on the mean number of CAT scans performed each month at this clinic.
b. Historically, the mean number of scans performed by all clinics in the system has been 1.95. If there any evidence that this particular clinic performs more CAT scans on average than the overall system average?
Answers
Answer: a. 1.981 < μ < 2.18
b. Yes.
Step-by-step explanation:
A. For this sample, we will use t-distribution because we're estimating the standard deviation, i.e., we are calculating the standard deviation, and the sample is small, n = 12.
First, we calculate mean of the sample:
[tex]\overline{x}=\frac{\Sigma x}{n}[/tex]
[tex]\overline{x}=\frac{2.31=2.09+...+1.97+2.02}{12}[/tex]
[tex]\overline{x}=[/tex] 2.08
Now, we estimate standard deviation:
[tex]s=\sqrt{\frac{\Sigma (x-\overline{x})^{2}}{n-1} }[/tex]
[tex]s=\sqrt{\frac{(2.31-2.08)^{2}+...+(2.02-2.08)^{2}}{11} }[/tex]
s = 0.1564
For t-score, we need to determine degree of freedom and [tex]\frac{\alpha}{2}[/tex]:
df = 12 - 1
df = 11
[tex]\alpha[/tex] = 1 - 0.95
α = 0.05
[tex]\frac{\alpha}{2}=[/tex] 0.025
Then, t-score is
[tex]t_{11,0.025}[/tex] = 2.201
The interval will be
[tex]\overline{x}[/tex] ± [tex]t.\frac{s}{\sqrt{n} }[/tex]
2.08 ± [tex]2.201\frac{0.1564}{\sqrt{12} }[/tex]
2.08 ± 0.099
The 95% two-sided CI on the mean is 1.981 < μ < 2.18.
B. We are 95% confident that the true population mean for this clinic is between 1.981 and 2.18. Since the mean number performed by all clinics has been 1.95, and this mean is less than the interval, there is evidence that this particular clinic performs more scans than the overall system average.
Maria invest 16,000 at 9% simple interest for five years. What is the total amount in the account at the end of the five year period
Answers
23,200
Explanation:
Use the formula for the amount after simple interest:
A = P(1 + rt)
“A” is the (final) amount.
“P” is the principal, or starting amount.
“r” is the interest rate in decimal form.
“t” is time, usually in years.
We are given the following:
P = 16,000
r = 9% = 0.09
t = 5
We are solving for “A”.
Substitute values for “P”, “r” and “t” into the formula to find “A”.
A = P(1 + rt)
A = 16,000(1 + (0.09)(5))
Simplify brackets first
A = 16,000(1 + 0.45)
A = 16,000(1.45)
A = 23,200
Therefore, the total amount in the account at the end of the five year period is 23,200.
Answer:
23,200
Step-by-step explanation:
A = P(1 + rt)
A = 16,000(1 + (0.09)(5))
Simplify brackets first
A = 16,000(1 + 0.45)
A = 16,000(1.45)
A = 23,200
At the zoo 1/9 of the park is set aside for the monkeys. There are 4 different monkeys, each with an equal-sized area. What fraction of the zoo is set aside for the one monkey area?
Answers
Answer:
1/4
Step-by-step explanation:
Answer:
1/36
Step-by-step explanation:
1/9 divided by 4
i need help finding the answer for this question . asap . 15 points
Answers
Answer:
-2ab^5 (1+2a^2b)
Step-by-step explanation:
Determine whether the given value is a statistic or parameter a survey found at 97% of all respondents have jobs
Answers
Answer:
b) The value is a statistic because it is a numerical measurement describing some characteristic of a sample
Sally says it is possible to draw a triangle with these side length
5cm, 5cm, 12cm
Is she correct?
Explain how you know
Answers
Step-by-step explanation:
The longest side of a triangle cannot be longer than the sum of the two shorter sides. So if the 5cm and 12cm sides are the shorter sides, the third one cannot be longer than the 17cm. ... So 12cm is not longer than 5cm plus the length of the third side, and therefore the missing side cannot be shorter than 7cm.
hangisi gürültüye sebep olur?
A- Motor sesi
B- Su sesi
C- Kuzu sesi
Answers
Answer:
a motor sesi..........
Please help with either of these questions. Put the answer in the comments please
Answers
Answer:
2) distance = 4 km
Displacement = 4 km east
3) distance = 35 km
Displacement = 5 km north
Step-by-step explanation:
2. He runs for 3 km in the east direction and then stops.. He now runs another 1 km in the same direction then stops.. Thus,
Total distance covered = 3 + 1 = 4 km
Total displacement is how far he is from his starting point = 3 + 1 = 4 km east
3) Runs 20km north and then runs 15 km back from starting point.
Thus;
Total distance covered = 20 + 15 = 35 km
Total displacement is distance from starting point = 20 - 15 = 5 km north
Subtracted because an opposite direction was taken after the 20km back to her starting point.
pls helps me solve
and this part is because it needs to be 20 characters long
Answers
Answer:
k = 22/3
Step-by-step explanation:
Cross multiply.
6 * k = 4 * 11
Divide both sides by 2.
3k = 22
Divide both sides by 3.
k = 22/3
answer: k= 22/3 have a good day
Pls give me the answer.
Answers
Answer:
To what question?
Step-by-step explanation:
The ratio of swordfish to marlins caught on a deep sea fishing trip was 20 to 15. If 24 marlins were caught, how many swordfish were caught? Complete the ratio table.
Answers
Answer:
39
Step-by-step explanation:
saul's makes green paint by mixing bule paint and yellow paint. For every 4 gallons of green paint, he uses 3 gallons of bule paint. what is the correct number of each type of paint into the box that would make 16 gallons of paint the same shade of green
Answers
Answer:
12 gallons of blue 4 gallons of yellow
Use a system of equations to solve 3x+6=6 by graphing on a separate sheet of paper.
*fill in question marks below please*
x=? y=?
so, (?, ?)
Answers
Step-by-step explanation:
A bro WHAT IS that I NEED POINT
The equation is solved algebraically and graphically above.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is the equation as follows -
3x + 6 = 6
The given equation is -3x + 6 = 6
3x = 6 - 6
3x = 0
x = 0
Graphically, it can be solved as shown in the image attached.Therefore, the equation is solved algebraically and graphically above.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
help me pls i need help
Answers
Answer:
B
Step-by-step explanation:
:-)
Answer:
B
Step-by-step explanation:
This problem is to compare the value of the two numbers. Obviously, 0.21>0.012
( 8 x 10^4) - ( 4 x 10^2) give the answer in standard form
Answers
Answer:
7.96x10^4
Step-by-step explanation:
You will get 796000 and you just move the decimal point infront to get 7.96x10^4
(3x + 3)(2x + 6) =
(2x + 1)(x - 2) =
(x - 3)(x + 4) =
(2x - 4)(x - 5) =
(x + 3)(x + 2) =
(x + 2)(x + 2) =
(x + 3)(x - 3) =
(2x³ + 1)(x - 4) =
Answers
Step-by-step explanation:
step 1. use Foil to multiply the polynomials.
step 2. (3x + 3)(2x + 6) = 6x^2 + 18x + 6x + 18 = 6x^2 + 24x + 18.
step 3. (2x + 1)(x - 2) = 2x^2 - 4x + x - 2 = 2x^2 - 3x - 2.
step 4. (x - 3)(x + 4) = x^2 + 4x - 3x - 12 = x^2 + x - 12.
i really need help with this!
Answers
Note: we can see that if we complete the circle, the radius is 15 cm.
First find the area of the square.
15*15=225 cm^2
Now find the area of the white area, which is a quarter circle.
S PR = 225π/4
The area of the shaded area should then be 225-(225/4)π cm^2
If we take 3/14 for π, then we get answer
225-176.625
=48.375 cm²
10 minus the product of 5 in the number G is more than 80
Answers
Answer:
10-5g >80
Step-by-step explanation:
10-5g >80
This is the statment if u want it.
WILL BRAINLIST IF CORRECT!
Sasha solved an equation, as shown below:
Step 1: 8x = 56
Step 2: x = 56 – 8
Step 3: x = 48
How many solutions does this equation have?
Answers
Incorrect, she should have divided both sides by 8. The answer should be x=7. There is only 1 solution to the equation because x is raised to the first degree. It is not a polynomial equation so there won't be more than 1 answer to the equation.
Consider a force F = 〈–1, 3〉 applied to an object that is moving from the point (3, –9) to the origin.
Find the displacement vector of the object.
d = 〈 _,_ 〉
Find the work done in moving the object.
W = ___ Joules
Answers
Answer:
-3,9
30
Step-by-step explanation:
Edge 2021
The displacement is (-3, 9)
Work done= 30 Joules
What is vector?A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.
Given:
F= (-1, 3)
point (3, -9)
So, displacement from origin to (3, -9)
d= (0-3, 0-(-9))
d= ( -3, 9)
Work done = F. d
= 3 + 27
= 30 joules.
Learn more about vector here:
https://brainly.com/question/24256726
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Find the range of the data in the box plot below.
cokies
Number of cookies eaten
by each contestant
Answers
Answer:
20 cookies
Step-by-step explanation:
Range of a data set plotted on a box plot = the maximum value - the minimum value
The maximum value is indicated by the whisker to your extreme right = 25
The minimum value is indicated by the whisker to your extreme left = 5
Range = 25 - 5 = 20
Help&EXPLAIN
==============
Answers
Answer:
A = 108 in.²
Step-by-step explanation:
The figure can be decomposed into 3 rectangles.
✔️Area of rectangle 1 = L*W
L = 8 in.
W = 6 in.
Area = 8*6 = 48 in.²
✔️Area of rectangle 2 = L*W
L = 10 in.
W = 4 in.
Area = 10*4 = 40 in.²
✔️Area of rectangle 3 = L*W
L = 5 in.
W = 4 in.
Area = 5*4 = 20 in.
✔️Area of the irregular figure = 48 + 40 + 20 = 108 in.²
It takes 2 workers 6 days to paint a mansion. How many days would it take 4
workers to do the same job?
Answers
Answer:
2 workers = 6 days
4 workers = 3 days
Step-by-step explanation:
If it takes 2 workers 6 days, if you seep up the process with 4 workers, you would divide the days by 2 because you multilpied the workers by 2. So, it would take 3 days with 4 workers. I hope that makes sence.
Jaden earned $54 every nine days based on this information how many days will it take Jaden to earn $96
Answers
Answer:
it will take her 16 days
Step-by-step explanation:
what are the equal factors to 10 to the second power
Answers
Answer:
100 i think
Step-by-step explanation:
Answer:
inequality 1 has a solution of 5
Step-by-step explanation:
Fill in the y-value for each box in the t-chart using the equation below !?
Answers
help, please This is due in 5min's
Answers
Answer:
51
Step-by-step explanation:
The answer is 51 because since it is a 90 degree angle,you have to subtract 24+7 from 90 and that's your answer.
The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, HCF). The cost for using 13 HCF of water is
$34.58, and the cost for using 24 HCF is $53.83. What is the cost for using 19 HCF of water?
Answers
Answer:
The monthly cost (in dollars) of the water use (in dollars) is a linear function of the amount of water used (in hundreds of cubic feet, HCF)
---------
The cost for using 28 HCF of water is 39.49, and the cost for using 47 HCF is 65.14.
---
You have 2 points: (28,39.49) and (47,65.14)
slope = (65.14-39.49)/(47-28) = 1.35
y = mx+b
39.49 = 1.35*28 + b
b = 1.69
Step-by-step explanation:
C(x) = 1.35x + 1.69
--------------------------
What is the cost for using 32 HCF of water?
C(32) = 1.35*32 + 1.69
C(32) = $44.89
Inverse of functions:
Can someone please help me I’ve been trying to do this answer for the past hour and I still can’t solve it.
Answers
Answer:
I'm not sure sorry!! :(
Step-by-step explanation:
wat is x in 1/3x - 11 = 5
Answers
=48
Multiply by 1
Add 1 1 11 11
to both sides of the equation
Answer:
The answer is 48
Step-by-step explanation:
First, add 11 to both sides
5 + 11 = 16
1/3x = 16
Next, times 16 by 3
16 times 3 = 48
Check!
1/3(48) = 16
16 - 11 = 5
X = 48
