what is the slope line according to the image
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.
A shark swims at a constant rate of
25
miles per hour. If
h
represents the number of hours, and
m
represents the total number of miles the shark swims, which equation correctly represents the relationship?
A group of 15 people were surveyed about the month they were
born. How many of the students were born in March?
.
3/5 born in September
1/3 born in December
An expression is shown.
14a + 7 + 5b + 2a + 10b
What are the coefficient(s) of the expression?
Group of answer choices
14, 7, 5, 2, 10
14a, 5b, 2a, 10b
14, 5, 2, 10
a, b
7
Answer:
C
Step-by-step explanation:
:)
Which equation goes with the t-chart below?
Answer:
y = 2 x^2 + 5
Step-by-step explanation:
y = 2x^2 + 5
y = 2(-2)^2 + 5
y= 2(4) + 5
y = 8 + 5
y = 13
you can try for yourself using the other values
What is the equation of the graph below?
y = sec(x) + 2
y = csc(x) + 2
y = csc(x + 2)
y = sec(x + 2)
Answer:
y = csc(x) + 2
Step-by-step explanation:
The equation for the given graph is y = csc(x) + 2
What is an equation of a graph?'In graph theory, Graph equations are equations in which the unknowns are graphs. One of the central questions of graph theory concerns the notion of isomorphism. The graphs are expressed differently in terms of graph equations.'
According to the given problem,
We know, periodicity of a.csc( bx + c ) + d = [tex]\frac{periodicity of cscx}{[b]}[/tex]
The periodicity of csc(x) is 2π,
⇒ [tex]\frac{2\pi }{1}[/tex]
= 2π
Hence, we can conclude, the equation y = csc(x) + 2 represents the given graph.
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Bill was looking at 13 different colors to paint his bedroom he liked about 2/3 of the colors. about how many colors did he like
The 'mean', the 'median' and the 'mode' are all measures of central tendency.
A: True
B: False
Answer: It would be True
Maria's earns $1700 per month and gets a commission rate of 15% of the jewelry she sells. If she sold $23000 worth of jewelry this month, what is her montly earnings?
Answer:
$5150
Step-by-step explanation:
1700+0.15(23000)
$5150
Jamar's car used 1/40 of a gallon to travel 3/8 of a mile. How many miles can the car go on one gallon of gas?
Answer:
15 miles.
Step-by-step explanation:
3/8 x 40 = 120/8
now divide,
120/8 = 15
Which words represent a positive number?
answer:'+' also means 'add'
It signifies a positive number, as described above, but it also means 'add' or 'plus'. For example 2+3 means 'two plus three' with a result of 5. Here, the plus-sign means addition. The same confusion happens with the minus ( – ) sign.
what are the lengths of sides a and c
Answer: a is 4 mm, c is 8 mm
Step-by-step explanation:
the 30-60-90 triangle rule: in a right triangle with 30, 60 and 90 degree angles, the adjacent side is [tex]\sqrt{3}[/tex] the opposite side, while the hypotenuse is 2 times the opposite.
the adjacent side in this case would be 4[tex]\sqrt{3}[/tex], a is opposite, and c is the hypotenuse
divide the adjacent side by [tex]\sqrt{3}[/tex] and we have the opposite side: 4
the hypotenuse is twice the opposite side, which has a value of 4. 4 times 2 is 8, which means the value of the hypotenuse is 8 mm
A fair number cube and a spinner are used in a game. The faces of the number
cube are labeled 1 through 6. The spinner has an equal chance of landing on 1 of 5
colors: red, green, blue, yellow or black. What is the probability of a player rolling an
even number and then spinning green?
Answer:
1 /10
Step-by-step explanation:
Fair cube ; numbered (1 - 6)
Spinner ; (red, green, blue, yellow or black)
Even numbers = (2, 4, 6)
Probability of obtaining an even number on rollin g a fair cube :
Probability = required outcome / Total possible outcomes
P(even number) = 3 /6 = 1/2
P(green color on spinner) = 1 /5
P(even number and green color) = 1/2 * 1/5 = 1/10
whats 25.28 in expanded form
When evaluating special offer decisions, management should consider: (Check all that apply.)
Answer:
Incremental Costs.
Available Capacity.
Incremental Revenues.
Existing sales.
Step-by-step explanation:
HELP ASAP !!! giving out the brainliest answer !!! plsss help (has to be correct )
b maybe
Step-by-step explanation:
I think it may be being mentally stronger trying to help you
Will give brainliest!!
Two lines, A and B, are represented by the following equations:
Line A: 4x + 4y = 16
Line B: x + y = 4
Which statement is true about the solution to the set of equations? (4 points)
Group of answer choices
A) It is (1, 2).
B) It is (1, 5).
C) There are infinitely many solutions.
D) There is no solution.
Answer:
Infitite solutions (C)
Step-by-step explanation:
They are the same line.
someone please help me with my work and please drop your email so I can share you with the document
Answer:
uADHTiszA?kv
Step-by-step explanation:
A positive angle less than 360 that is coterminal with -725 degrees is
The positive angle is less than 360 which is coterminal with -725 degrees is 85 degrees.
What are Coterminal Angles?Coterminal angles are those with the same beginning side and the same terminal sides. These angles are in the typical position, although their values differ. They have the same sides, are in the same quadrant, and their vertices are identical. The endpoint sides coincide at the same angle when the angles are rotated clockwise or anticlockwise.
An angle that is coterminal with -725 degrees is an angle that has the same initial and terminal sides as -725 degrees, but its measure is between 0 and 360 degrees.
To determine a positive angle less than 360 that is coterminal with -725 degrees, we can add or subtract multiples of 360 from -725 degrees until we get an angle within that range.
In this case, -725 degrees - (2 x 360) = -725-720= -1445.
So, the positive angle less than 360 that is coterminal with -725 degrees is -1445 degrees + 360 = 85 degrees.
To learn more about Coterminal Angles click here:
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Find the value of x (only answer if you're sure)
Answer:
x = 6
Step-by-step explanation:
It's simple.
This is just dilation. Since its a scale factor of 0.25 and you want to find x on the bigger one. Then we know we have to then change it into a fraction, 1/4. Which means that 1.5 is only a fourth of x. So, if you do the math: 1.5*4=6.
Therefore, your answer would be x = 6
Eric is a car salesman. He earns a weekly salary of $175 plus 4% commission on sales. This
week he sold a car for $35,450.
A) How much commission did he earn this week?
B) What did he earn in TOTAL this week?
(urgent pls show work)
Answer:
Step-by-step explanation:
What does c equal in the picture?
Answer:8
Step-by-step explanation:
PLEASE GUYS IM BEGGING YOU TO HELP ME I ONLY HAVE 5 MORE MINUTES HURRY
Answer:
5. 14 1/2 inches, 14.6 inches, 176 inches
7. 37.5%
Repent while there’s still time. Love while you still can. Give till there’s nothing left. Serve with all you’ve got. Go while you’re still able. Share all that you have. Follow hard after God. Live with no regrets. Time is of the essence. If we only have today, there’s still time. Don’t miss this time. Look yourself in the mirror and ask your self - If I died today, would the Lord judge me worthy of eternal life? If the answer is no, then ask him for forgivness. As long as you are really sorry, he will forgive you. If you want to talk, I am here. If you need time alone, then I will leave you alone. If you need a Bible, I can get you one. Follow your heart and never stop doing good. Thank you for reading this, and have a great day. May the good Lord bless you, your family, and the world.
"The fear of the LORD is the beginning of wisdom, and knowledge of the Holy One is understanding." - Proverbs 9:10
please help, i'll give brainliest. (don't send a link please)
Answer:
A
Step-by-step explanation:
y+5<8
Subtract 5 from each side
5+5-5 <8-5
y<3
Since there is no equals sign, there is an open circle at 3
y is less than so the line goes to the left
Choice A
What is the area of the triangle?
6 yd.
2 yd.
Answer:
12 yd.
Step-by-step explanation:
someone please help me with this ASAP!
Answer:
foreal
Step-by-step explanation:
Does anyone know the answer to this one ???
What number divided by −3 gives 12 as the result
Answer: -36
Step-by-step explanation: a negative and a negative give a positive so -36/-3=12
(to check your answer you can also always just multiply the two numbers ex: 12 x -3= -36)
The slope of the line below is -2. Write the point-slope equation of the line
using the coordinates of the labeled point.
Answer:
[tex]y+6=-2(x-4)[/tex]
Step-by-step explanation:
Point-slope form is a way of representing a line by using one of its points and the slope of a line. Its general format is the following,
[tex](y-y_1)=m(x-x_1)[/tex]
Where (m) represents the slope, ([tex]x_1[/tex]) and ([tex]y_1[/tex]) represents a point on the line.
It is given that the slope of the line is (-2), and that the line has point (4, -6). Substitute this into the formula.
[tex](y-(-6))=-2(x-4)[/tex]
[tex]y+6=-2(x-4)[/tex]
Does anyone know what the answer please?
Answer:
<1 = 76
Step-by-step explanation:
<1 + 51 + 53 = 180
<1 + 104 = 180
<1 = 180 - 104
<1 = 76