Overtime Hours Worked A random sample of 15 registered nurses in a large hospital showed that they worked on average 44. 2 hours per week. we can estimate with 90% confidence that the population mean of overtime hours worked by registered nurses in the hospital is between 42.5 and 45.9 hours per week.
What is t-distribution?The t-distribution is a probability distribution that is used to estimate the population mean of a normally distributed variable when the sample size is small or the population standard deviation is unknown.
To estimate the population mean with a 90% confidence interval, we can use a t-distribution with n-1 degrees of freedom, where n is the sample size.
First, we need to calculate the standard error of the mean, which measures the variability of sample means around the population mean. The formula for the standard error of the mean is:
SE = s / sqrt(n)
where s is the sample standard deviation and n is the sample size.
In this case, s = 2.6 and n = 15, so:
SE = 2.6 / sqrt(15) = 0.671
Next, we need to find the critical value of the t-distribution with 14 degrees of freedom and a 90% confidence level.
We can look this up in a t-table or use a calculator to find that the critical value is approximately 1.761.
Finally, we can calculate the confidence interval using the formula:
CI = X ± tα/2 * SE
where X is the sample mean, tα/2 is the critical value of the t-distribution, and SE is the standard error of the mean.
In this case, X = 44.2 and tα/2 = 1.761, so:
CI = 44.2 ± 1.761 * 0.671
CI = (42.5, 45.9)
Therefore, we can estimate with 90% confidence that the population mean of overtime hours worked by registered nurses in the hospital is between 42.5 and 45.9 hours per week.
For more details regarding t-distribution, visit:
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ABCD is a parallelogram
Answer:
a) 2a
b) -a + b
c) -b -a
Step-by-step explanation:
a) From C, you just go down with a twice.
b) From A, you go up the a hence -a, then you go down b so -a + b.
c) From B, you go down b to O then you go up a to C.
Subtract
-222+4z-
1 from 6x? +
32
9. Your answer should be a polynomial in standard form
Answer:
6x-4z+255
Step-by-step explanation:
6x+32-(-222+4z-1)
-(-222+4z-1)=-4z+233
6x-4z+32+233
6x-4z+255
in the diagram below. C is an equal distance to A and B.
Answer:
C(50;-20)
Step-by-step explanation:
The question is asking for the midpoint of the line.
The triangle is formed by placing a line directly from the y-axis to the x-axis.
The midpoint theorem is[ (x1+x2)/2 ; (y1+y2)/2 ].
your coordinates at A is (0;-40), because the x value is 0 on the line as shown in the diagram above point A.
Your coordinates for B are (100;0)
C[(x1+x2)/2 ; (y1+y2)/2 ]
C [(0+100)/2 ; (-40+0)/2 ]
C[ 100/2 ; -40/2]
C (50 ; -20)
Alicia cashed half of her paycheck and set aside the other half to take her friends out to dinner. She spent 42.15 on dinner and brought home more than 20.00. Write an inequality to represent the situation, using x to represent the amount of Alicia’s paycheck.
Answer: = x > $124.3
Step-by-step explanation:
Alicia's Paycheck = x
Took half money for dinner x/2
She spent $42.15 on dinner and she brought home more than $20.00
.x/2 - $42.15 > $20.00
=> x/2 > $62.15
=> x > $124.3
I hope that helps! Have a great day!!
The diameter of a wheel is 150 cm, if the wheel travels 376.8 m, how many times does the wheel rotate?
Answer:
79.94
Step-by-step explanation:
First, let us find the circumference of the wheel (circle).
For that, let us use the below formula.
C = π × d
Given that,
d ⇒ diameter ⇒ 150 cm ⇒ 1.5 m
Let us find now.
C = π d
C = 3.142 × 1.5
C = 4.713
And now to find the number of times that the wheel rotates, you have to divide the total distance that wheel traveled by it's circumference.
Let us find now.
No. of times that wheel rotates = 376.8m ÷ 4.713m
No. of times that wheel rotates = 79.94
Approximately, the wheel will rotates 80 times.
Please please help!!!!! Will mark brainliest if correct!!!!!!!
Find the measure of the arc or angle indicated.
A. 118°
B. 62°
C. 124°
Answer:
You can measure an arc in degrees. Just like you measure an angle in degrees. And you assign the exact. Same measure in degrees to an arc. As the measure of the central angle that creates that arc. So I believe your answer would be A: 118 :).
Find the area of the shape above
Answer:
625 cm^2
Step-by-step explanation:
Break it into a rectangle on the bottom and a triangle on top
rectangle area = 50 x 8 = 400 cm^2
triangle area = 1/2 b * h = 1/2 * 50 * 9 = 225 cm^2
added together = 625 cm^2
Translate, (3, 1) to the right 1 unit. Then reflect the result over the y-axis. What are the coordinates of the final point?
show work
Answer:
(-4, 1) is the coords of the final point
Step-by-step explanation:
First do the translation: (3,1) to the right 1 unit is (4,1).
Now the reflection: (4,1) reflected over the y-axis is (-4, 1)
this should be correct... please tell me if its not! hope this helps!!
Help pleasee I don't know how to do this
Answer:
Just factorize the given plynomials.
Step-by-step explanation:
like in first example 7x+49
7(x+7)
1. 7(x+7)
2. 2(4m-3)
3. 5(a^2-3)
A sports ball has a diameter of 15 cm. Find the volume of the ball and select the correct units. Round your answer to 2 decimal places
The volume of the ball has a diameter of 15 centimeters around 2 decimal places is 1767.15 cubic centimeters.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A sports ball has a diameter of 15 cm.
Then the radius of the ball will be
r = d/2
r = 15/2
r = 7.5 cm
Then the volume of the ball will be
[tex]\rm Volume = \dfrac{4}{3} \times \pi \times r^3\\\\Volume = \dfrac{4}{3} \times \pi \times 7.5^3\\\\Volume = \dfrac{4}{3} \times \pi \times 421.875\\\\Volume = 1767.15\ cm^3[/tex]
More about the geometry link is given below.
https://brainly.com/question/7558603
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help please???????????
Answer:
D
Step-by-step explanation:
The problem is put in different fractions to make it more confusing.
1 1/15 miles+ 1 3/5 miles+ 1 2/3 miles
We can find the common denominator of all of the fractions.
[tex]1 \frac{1}{15} + 1 \frac{9}{15} + 1 \frac{10}{15} \\= 3+\frac{20}{15} =4 \frac{5}{15}\\\\=[/tex]4 1/3
[tex]monday = 1 \frac{1}{15} [/tex]
[tex]tuesday = 1 \frac{3}{5} [/tex]
[tex]wednesday = 1 \frac{2}{3} [/tex]
to find:the total number of miles Kenya ran in 3 days.
solution:[tex] \frac{16}{15} + \frac{8}{5} + \frac{5}{3} [/tex]
[tex] = \frac{16}{15} + \frac{8 \times 3}{5 \times 3} + \frac{5 \times 5}{3 \times 5} [/tex]
[tex] = \frac{16 + 24 + 25}{15} [/tex]
[tex] = \frac{65}{15} = \frac{13}{3} [/tex]
[tex] = 4 \frac{1}{3} [/tex]
therefore, the correct answer is option D.
how do i do diameter
Answer:
12
Step-by-step explanation:
So the diamiter is really easy to find. It is just twice the radise. So if the radis is 6 then you do 6*2=12
Find the area of a trapezoid if base 1 is 10 units and base 2 is 18 units and the height is 5 units.
Answer:
A=7.5
Step-by-step explanation:
A=a+b
2h=1+2
2·5=7.5
Work out the value of s
S= ut + ½ at^2
u= 10 a=-2 t=1/2
Work out the value of s.
Answer:
s = [tex]\frac{19}{4}[/tex]
Step-by-step explanation:
substitute the given values into the equation
s = (10 × [tex]\frac{1}{2}[/tex] ) + ( [tex]\frac{1}{2}[/tex] × - 2 × ([tex]\frac{1}{2}[/tex] )² )
= 5 + (- 1 × [tex]\frac{1}{4}[/tex] )
= 5 - [tex]\frac{1}{4}[/tex]
= 4 [tex]\frac{3}{4}[/tex]
= [tex]\frac{19}{4}[/tex]
Hurry ASAP i have 30 minutes to turn this in
Answer:
correct answer is: Remove all the blocks and make four equal piles of 25, then put each in one of the boxes
Answer:
25 blocks in each box(1 answer)
Step-by-step explination
add all blocks then divide by 4
:D
Please help will give brainliest!!!!
(If correct)
What is the explicit formula for this geometric sequence
Answer:
A
Step-by-step explanation:
8 is the first in the sequence, so we put 1 in for n
This makes the equation: 8 × (½)^0 which is equal to 8.
To find the rest, plug in 2, 3 ,4 etc. for n
Hope this Helps!
required
Ben will purchase four books. The original prices of the books are $29.95, $23.95, $14.95, and $9.95. Ben has
our sales options from which to choose.
1
2
3
4
$5.00 Off
Buy 3 Books! Buy Any 4
Books
Get the lowest
priced book
&
Receive a
FREE $10 Rebate
10
any book over $25.00
OFF
All Books
20% Off
1 book
Which ontion is the best deal?
Answer:
Option 2 Step-by-step explanation: Option 1: $68.85 Option 2: $68.80 Option 3: $70.9 Option 4: $71.81 More
Reduce the fraction to lowest terms. Do not use spaces in your answer.
x³ - x²/
X³
=
Blank/blank
Answer:
See below
Step-by-step explanation:
x^3 - x^2 / x^3 =
x^3 - x^(2-3) =
x^3 - x^-1
x^3 - 1/x now we know x^3 = x^4 / x
(x^4 - 1)/x
Answer:
[tex] \frac{x - 1}{x} [/tex]
Step-by-step explanation:
at the top, take out x^2 so you get : [tex] \frac{ {x}^{2}(x - 1) }{x^{3} } [/tex]divide both sides by x^2Please help me solve this asap if possible
1
2
3
4
5
The fair spinner shown in the diagram above is spun.
Work out the probability of getting a factor of 12.
Give your answer in its simplest form.
Answer:
4/5
Step-by-step explanation:
1, 2 , 3 and 4 are factors of 12
so 4 out of 5
4/5 is the probability of getting factor of 12
Find surface area of a rectangular prism 3 ft 2 ft 6 ft
Answer:
72 ft ^2
Step-by-step explanation:
Surface area = 2 * ( 3x6 + 6x2 + 2x3) = 72 ft^2
PLEASE HELP ME MY 40 QUESTIONS ARE DUE TODAY WILL GIVE BRAINlIEST!!!!!
Answer:
300
Step-by-step explanation:
there are 300 tens in 3,000 since 3,000 divided by 10 is 300
Can someone answer this please
Answer:
Step-by-step explanation:
4. How many lines of symmetry does a popsicle stick have?
Answer:
See below
Step-by-step explanation:
An actual popsicle stick has THREE lines of symmetry
the figure shown has TWO lines of symmetry
What are the excluded values? b = 0 and -10 b = 2 and 5 b = 3 and 7 none of the above
b= 2 and 5
is your answer to the above question.
What is the greatest value of the data represented by the box plot?
Answer: 45
Step-by-step explanation:
I had the same problem it's 45. 45 is the maximum or greatest data in the box plot.
This should be easy to answer!
Answer:
umm
Step-by-step explanation:
Your 2-liter bottle of Urikium, which has a half-life of 72 days, gets spilled on your parents rug. How much will remain in the rug in 200 days?
Answer:
291.63 ml
Step-by-step explanation:
200/72 2.7778 half lives
(1/2)^2.77777 = .1458 or 291.63 ml
100 POINTS!!!!!!!
please help me with this question.
Your answer is B
Yw :D
Answer:
Its B
Step-by-step explanation: I got it correct.....
Can someone help me with this look at the image