A nurse is investigating the birth weights of non-premature babies. She selects a random sample of 41 such babies, and found a mean weight of 3506.4 grams and a sample standard deviation of
494.2 grams. Find a 95% confidence interval for the mean birth weight of all non-premature babies. Show your calculation for the confidence interval as well as the final confidence interval rounded to one decimal place. Then write a sentence that gives the interpretation of your confidence interval, including the correct units.
Answer:
The 95% confidence interval for the mean birth weight of all non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.
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 = 41 - 1 = 40
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 40 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0211
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0211\frac{494.2}{\sqrt{41}} = 156[/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 3506.4 - 156 = 3350.4 grams
The upper end of the interval is the sample mean added to M. So it is 3506.4 + 156 = 3662.4 grams
The 95% confidence interval for the mean birth weight of all non-premature babies is between 3350.4 grams and 3662.4 grams. This means that we are 95% sure that true mean birth weight of all non-premature babies is in this interval.
What is the equation of the line of best fit?
A.
y = 5x + 25
B.
y = x + 25
C.
y = 5x + 5
Answer:
y=5x+25
Step-by-step explanation:
The slope is (30-25)/(1-0)=5.
Also, the y-intercept is 25.
So, the equation is y=5x+25.
A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 14cm. A stone is placed in the water and the water rises 3.4 cm. Find the volume of the stone.
Please and thank you!
Answer:
1356cm3
Step-by-step explanation:
when the stone is dropped in to the water the new height is 17.4cm(14+3.4)
find the volume when the height is 14cm and when the height is 17.4cm
24*14*17.4=4716
24*14*14=3360
then subtract the two volumes
4716-3360=1356cm3
Answer:
816 cm^3
Step-by-step explanation:
First you want to find the volume of the container with the stone, and then without the stone.
The formula for finding the volume of a rectangular container is V= l x w x h
We substitue in:
With stone:
V= 24cm x 10 cm x (14+3.4 cm)
V= 4,176 cm^3
Without stone:
V= 24 cm x 10 cm x 14 cm
V= 3,360 cm^3
Then, you want to subtract the two volumes to get the stone by itself.
4,176 - 3,360= 816 cm^3
Hope this helps!
PS- I think the answer above me got their numbers mixed up, but they had the right idea.
Find the volume of the composite solid. Round your answer to the nearest tenth.
Answer:
Volume = 646.0 cm³
Step-by-step explanation:
The solid is made up of a hemisphere and a cube
Therefore,
Volume of the composite solid = ⅔πr³ + a³
Where,
r = ½(8) = 4 cm
a = 8 cm
Plug in the values
Volume of the composite solid = ⅔*π*4³ + 8³
= 134.04 + 512
= 646.0 cm³ (nearest tenth)
Jon was at a football match.
The match ended at 16:55
Jon got back to his car in the car park 15 minutes after the match ended.
He drove out of the car park 10 minutes later.
It then took him 45 minutes to drive home.
Did Jon get home before 18 00?
You must show how you get your answer.
Answer:
no he will make it home at 18:15
Step-by-step explanation:
[tex]4:55+15=5:10\\5:10+10=5:20\\5:20+45=6:15[/tex]
The figure below is step 1 for drawing what type of solid
Answer:
hexagonal prism
Step-by-step explanation:
has 6 sides
4x+6y-8 equivalent to what
Answer:
c
Step-by-step explanation:
2(2x+3y)
as 4x+6y
hope this helps and makes sense
Pls help:( me on this
Answer:
D
Step-by-step explanation:
Root square of 3 is 1.732, the root square of Pi is 1.77, the root square of 8 is 2.82 and the estimated value of Pi itself is 3.14.
What is the equation of the line that passes through the point (-3, 7) and has a
slope of —3
Answer:
y=-3x-2
Step-by-step explanation:
Equation of a line is y=mx+b, where m is the slope given, -3.
Y=-3x+b
To find b, sub in the points (-3,7) for x and y in the equation
7=-3(-3)+b
7=9+b
-2=b
Rebecca ran 12 1/4 mile in 2 1/2 hours what was your average speed in miles per hour
Answer:
Your average speed was 3.29 Miles per hour (mph)
Please Consider Marking Brainliest.
Solve y = x2-5 for x.
A. X = y +5
B. X=-+ y-5
C. X = y-5
D. X = -+ y+5
y = x^2 - 5
y + 5 = x^2
(Now you need to square root both sides)
√y+5 = x
x = PLUS OR MINUS √y + 5
If y=10 and the equation is 60=6y is it true or false 
Answer:
The answer would be true.
Step-by-step explanation:
Since 10 equals y that means that 60=6y is true because 6x10 is 60.
15 players for a softball team show up for a game: (a) How many ways are there to choose 10 players to take the field? 3003 (b) How many ways are there to assign the 10 positions by selecting players from the 15 people who show up? 3003 (c) Of the 15 people who show up, 5 are women. How many ways are there to choose 10 players to take the field if at least one of these players must be a woman?
Answer:
(a) 3003 ways
(b) 10897286400 ways
(c) 3002 ways
Step-by-step explanation:
Given
[tex]n = 15[/tex] --- 15 players
Solving (a) Ways of selecting 10 players.
This implies combination.
So, we have:
[tex]r=10[/tex]
Using:
[tex]^nC_r = \frac{n!}{(n-r)!r!}[/tex]
We have:
[tex]^{15}C_{10} = \frac{15!}{(15-10)!10!}[/tex]
[tex]^{15}C_{10} = \frac{15!}{5!10!}[/tex]
Simplify
[tex]^{15}C_{10} = \frac{15*14*13*12*11*10!}{5!10!}[/tex]
[tex]^{15}C_{10} = \frac{15*14*13*12*11}{5!}[/tex]
[tex]^{15}C_{10} = \frac{15*14*13*12*11}{5*4*3*2*1}[/tex]
[tex]^{15}C_{10} = \frac{360360}{120}[/tex]
[tex]^{15}C_{10} = 3003[/tex]
Solving (b) Ways of assigning positions to 10 players.
This implies permutation.
So, we have:
[tex]r=10[/tex]
Using:
[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]
We have:
[tex]^{15}P_{10} = \frac{15!}{(15-10)!}[/tex]
[tex]^{15}P_{10} = \frac{15!}{5!}[/tex]
Solve each factorial
[tex]^{15}P_{10} = \frac{1307674368000}{120}[/tex]
[tex]^{15}P_{10} = 10897286400[/tex]
Solving (c) Ways of choosing at least 1 woman
We have:
[tex]Men = 10[/tex]
[tex]Women = 5[/tex]
Ways of selecting 10 players is: (a) 3003 ways
Since the number of men are 10, there is 1 way of selecting 10 men (i.e. selection without women)
Using complement rule:
At least 1 woman = Total - No woman
[tex]At\ least\ 1\ woman = 3003 - 1[/tex]
[tex]At\ least\ 1\ woman = 3002[/tex]
If it’s right I will give Brainlyist
Answer:
its F
Step-by-step explanation:
because 1+1 is AxB is 21
simplify 18/13-2/13 I cant figure it out plz help
Answer: 1 3/13
Step-by-step explanation:
The fifth grade art class is making quilts
Answer:
trapazoid
Step-by-step explanation:
A trapezoid is a shape that belongs in the overlapped section of the
Venn diagram.
What are polygons?Regular polygons have all sides the same and that apothem bisects the side in two parts, (provable by symmetry).
Apothem for a regular polygon is a line segment that originates from the center of the regular polygon and touches the mid of one of the sides of the regular polygon.
It is perpendicular to the regular polygon's side it touches.
The fifth-grade art class is making quilts. There are some of the shapes they are putting in their quilts.
A trapezoid is a shape that belongs in the overlapped section of the
Venn diagram.
Learn more about apothem here:
https://brainly.com/question/12090932
#SPJ2
where is point b on the number line?
Answer:
i dont know but can you pick me brainiest
Step-by-step explanation:
2
Sierra's ice cream shop made $45 before she had to close early when the power went out. She realized she lost ſ of
a dollar each hour when the shop was closed. The expression that models this situation is 45 - an what was Sierra's
profit if the shop was closed for 6 hours?
$24
O $36
O $41
$49
Answer:
if shes losing 2/3 each hour, the her profit would be 41.
Step-by-step explanation:
2/3 x 6 is 4, 45 - 4 is 41.
14 Emma scored a 76, 90, 83, 95, 88, 96, 94, 96, 98, and 96 on her science tests last quarter. What is the mean absolution deviation of the data? Round to the nearest tenth
Answer:
the answer's 5.6
5.56 but rounded its I think 5.6
don't trust my answer.
Plzzzz help me to find the answer
Answer:
im pretty sure its 67, sorry if I'm wrong
6.632.512 what is the value 3
Answer:
HEHEHEH I NEED POINTS-
Step-by-step explanation:
African elephants can eat up to 500 pounds of vegetation in one day. How many pounds of vegetation could an elephant eat in a week?
pls answer its due to tomorrow ;-;
Answer:
they would eat 3500 pounds of food in 1 week
Step-by-step explanation:
its simple math just multiply 500 by 7 and you would get 3500
Find the 96th term of the arithmetic sequence 1, -12, -25, ...
Answer:
The 96th term of the arithmetic sequence is -1234.
Step-by-step explanation:
first term (a)=1
second term (t2)=-12
common difference (d)= t2-a
d=-12-1
d=-13
96th term (t96)=?
We know that,
t96=a+(n-1)d
t96=1+(96-1)(-13)
t96=1+95(-13)
t96=1-1235
t96=-1234
PLEASE HELP I ONLY HAVE AN HOUR LEFT !!!!!!
Answer:
1,3, and 4
Step-by-step explanation:
Molly watches television 3 hours less than Leslie in one
week. Leslie watches television for 72 hours in one week.
How many hours does Molly watch television?
Answer:
69 hours
Step-by-step explanation:
just subtract 72-3 and 69 is the answer
Answer:
Molly watches television for 69 hours
Step-by-step explanation:
72-3= 69
Hey please help with this one I promise I’ll mark you brainliest real anwsers tho :3
Answer:
Area is 364
Step-by-step explanation:
A parallelogram's area is equal to base times height. So it doesn't depend on the angle at all, as long as the base and height are constant.
That means that the area of the parallelogram on the left is the same as if it was a rectangle (an extension of the rectangle part on the right).
This brings us to the answer - the area is the same as the area of a 14x26 rectangle.
14*26=364
Alternatively, let's compute the area of the rectangle on the right:
18*14 = 252
And the area of the parallelogram
14 * (26-18) = 14*8 = 112
And the area of the composite figure is 252+112 = 364
No bots. No bots. No bots Please, someone please answer this, and No bots!!
What is the volume of this container?
Answer:6000 cm3
Step-by-step explanation:You do 20x10x15=3000. Then you do 3000x2= 6000. So your answer will be 6000cm3
I do not have an answer to this question: Keith buys a bad of dog food. The bag contains 16 1/2 cups of food. If his dog eats 1 3/8 cups a day, how long will the bag last?
Answer:
12 days
Step-by-step explanation:
3/8=.375
16.5 divided by 1.375 equals to 12. I hope that helps.
Solve for g.............
Answer:
G = 3
Step-by-step explanation:
Answer:
g=3
Step-by-step explanation:
reverse the whole question:
so all the minus would convert into an addition sign
hope that helps
please mark as brainliest if correct
have a great day/night.
thank you
19NBoli