Answer:
10.224 < μ < 12.622 ;
Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.
Step-by-step explanation:
The confidence interval is given as :
Mean ± Margin of Error
margin of error = Zcritical * standard deviation /sqrt(n)
n = sample size
From the data:
12.32, 11.87, 12.34, 11.48, 12.66, 8.51, 14.13, 12.95, 9.34, 8.63
From the data:
Using calculator :
Mean, = 11.423
Standard deviation, s = 1.934
Zcritical at 95% confidence interval = 1.96
Sample size, n = 10
Margin of Error = 1.96* 1.934/sqrt(10) = 1.199
Lower boundary = 11.423 - 1.199 = 10.224
Upper boundary = 11.423 + 1.199 = 12.622
10.224 < μ < 12.622
Since the mean weight of 2-montj old baby boys (13.9) falls outside the confidence interval, we can conclude that it is not reasonable to believe that the mean weight of two-month-old baby girls may be the same as that of two-month-old baby boys.
-4--7=n cual es el valor de n
HELP!!! DUE IN 8 MINS!!
Answer:
Step-by-step B. is your answer
explanation:
What TWO steps do you take to solve the following equation: 5x - 3 = 12
Answer:
First add 3 to each side
Then divide each side by 5
Step-by-step explanation:
5x - 3 = 12
First add 3 to each side
5x-3+3 = 12+3
5x = 15
Then divide each side by 5
5x/5 = 15/5
x = 3
Answer:
3
Step-by-step explanation:
5x = 12 + 3
x = 15/5
x = 3
What is the name given to a five-sided polygon that has congruent sides? A. hexagon B. regular hexagon C. pentagon D. regular pentagon
Answer:
C
Step-by-step explanation:
Pentagon
Hope this helps (:
Answer
C). pentagon is the correct answer.
Step-by-step explanation:
A pentagon has 5 congruent sides and 5 angles.
What is the slope of the line ?(khan academy)
Answer:
The slope of the line is 2.
Step-by-step explanation:
Slope of a line:
Suppose that we have two points. The slope of the line is given by the change in y divided by the change in x.
In this question:
Points (0,0) and (1,2)
Change in y: 2 - 0 = 2
Change in x: 1 - 0 = 1
Slope: [tex]m = \frac{2}{1} = 2[/tex]
The slope of the line is 2.
The following expression represents the profit made by John as he mows
lawns: P = 20L - 100
Which description correctly interprets each part of the expression?
Answer:
P is price per lawn, 20 is the money made per lawn, L is the number of lawns mowed, 100 is his initial cost.
Step-by-step explanation:
What is the solution to the system of equations
Y=x+6
Y= -0.5x+3
Answer:
[tex]y = 4 \\ x = - 2[/tex]
PLS HELP ME!!! i’ll give you a brainliest answer :)
Answer:
B is the correct answer
which statement is true.
Expand (2x - 5)4 with the help of Pascal's triangle
Answer:
8x-20
Step-by-step explanation:
8x-20
(2x-5)4 2x*4
8x- 4*5
8x-20
Answer:
Answer:(2x-5)4
Answer:(2x-5)42x=20
Answer:(2x-5)42x=20or,x=20/2
°°°x=10
Which line has the same slope as the line passing through (-4, -1) and (-1, -7) ?
Answer:
D
Step-by-step explanation:
Answer:
athe correct answer of this question is 6x + 3y = 5
4) An arithmetic sequence has a 7th term of 54 and a 13th term of 94. Find the common difference
Please answer!!
Answer:
20/3
Step-by-step explanation:
Every nth term takes the form of a + n*d, where a is the first term.
So 7th term = (54 = a + 7d), 13th term = (94 = a + 13d).
equate them both:
94 - 13d = 54 - 7d
40 = 6d
d = 40/6
If one-fourth of 2^30 is equal to 2^x, what is x?
Answer:
28
Step-by-step explanation:
1/4 can be rewritten as 1 / (2^2)
or 2^-2.
using the 2nd form,
we have 2^-2 * 2^30 = 2^x
By exponent rule
2^28 = 2^x
So we can observe now that x = 28
Answer:
23
Step-by-step explanation:
how many different ways can you find for 7 coins totaling 95 cents?
Answer:
one way
Step-by-step explanation:
2 quarters
4 dimes
1 nickel
Mr.Chamberlain is planning a field trip for his math classes to visit a museum.It costs $300 to rent the bus, then $7.50 per student for entry to the museum Mr. Chamberlain only has a budget of $1,000 from the school. Which equality below represents the number of students he can bring on the trip?
Answer:
Equation - $1000=$300+$7.50x
Answer - Mr. Chamberlain can included 93 Student Entries
Step-by-step explanation:
$1000 (budget)
$300 (cost to rent bus)
$7.50 (cost of each student entry)
$1000-$300= $700
Now we have found out that Mr. Chamberlain has $700 left to spend on student entries.
$700/$7.50 = 93.333
Round 93.333 down to 93 because you can't have 1/3 of a student (obviously)
93 = the max number of student entries that Mr. Chamberlain can have for the museum field trip
I hope this helps :)
8+8+8=24 as multiplecation sentence
Answer
Hola la respuesta que buscas es bastante simple pero no lo sé
Step-by-step explanation:
The local park has a circular pond with a radius of 9 feet. What is the pond's circumference?
Answer:
Using 3.14 as pi, the answer would be 56.52, and using just pi (as in the input on a calculator) would be 56.54867.
Step-by-step explanation:
The equation for circumference of a circle is C = πd, C representing the circumference and d representing the diameter. Since the equation shows the radius, the equation can also be C = 2πr, since the radius is half of the diameter. Multiply nine by two to get eighteen. 18 times 3.14 = 56.52.
The top of a ladder slides down a vertical wall at a rate of 2 feet per second. At the moment when the bottom of the ladder is 4 feet from the wall, it slides away from the wall at a rate of 3 feet per second. How long is the ladder
Answer:
The length of the ladder is 7.21 feet
Step-by-step explanation:
Let
y = Height of the wall
x = Distance between the wall and the ladder (bottom)
L = Length of the ladder
So, the given parameters are:
[tex]\frac{dy}{dt} = -2ft/s[/tex]
When [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]
The ladder, the wall and the ground forms a right-angled triangle where the hypotenuse is the length of the ladder; So:
[tex]L^2 = x^2 + y^2[/tex]
Differentiate with respect to time
[tex]2L\frac{dL}{dt} = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]
The length of the ladder does not change with time. So:
[tex]2L*0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]
[tex]0 = 2x\frac{dx}{dt} + 2y\frac{dy}{dt}[/tex]
Rewrite as:
[tex]2x\frac{dx}{dt} =- 2y\frac{dy}{dt}[/tex]
Divide both sides by 2
[tex]x\frac{dx}{dt} =- y\frac{dy}{dt}[/tex]
Recall that:
[tex]\frac{dy}{dt} = -2ft/s[/tex] and [tex]x = 4; \frac{dx}{dt} = 3ft/s[/tex]
So:
[tex]4 * 3 = -y * -2[/tex]
[tex]12 = 2y[/tex]
[tex]6 = y[/tex]
[tex]y = 6[/tex]
Substitute [tex]y = 6[/tex] and [tex]x =4[/tex] in: [tex]L^2 = x^2 + y^2[/tex]
[tex]L^2 =4^2 + 6^2[/tex]
[tex]L^2 =52[/tex]
[tex]L = \sqrt{52[/tex]
[tex]L = 7.21ft[/tex]
7. Below are the steps taken to simplify the expression. Which justification matches Step c of the simplified expression? *
7x+8y+5x+3(y+1)
a. 7x + 8y + 5x + 3y + 3
b. 7x + 5x + 8y + 3y + 3
c. (7x + 5x) + (8y + 3y) + 3
d. 12x + 11y+ 3
A. Associative Property of Addition
B. Commutative Property of Addition
C. Combine Like Terms
D. Distributive Property
Answer:
A. Associative property of addition
Step-by-step explanation:
The associative property is about the grouping of terms/numbers in parentheses in an equation.
What is the median of the data set?
9
8.5
8
10
Answer:
8.5
Step-by-step explanation:
When you write out the data set, it looks like this:
5, 8, 8, 8, 8, 9, 9, 9, 10, 10
The median means the exact middle of the data set. In this case, it falls between the 8 and the 9, so the middle would be 8.5, so that's the median of the set. I hope this helps :)
Answer:
The median is 8.5
Step-by-step explanation:
The median is the middle number in a data set. For example, if you had a data set:
2, 2, 3, 4, 4
You would go forwards and backwards in the set until you found the middle number, which is 3. 3 would be the median.
However, if there is no middle number (there are an even number of points in the set), you add the two remaining numbers and divide it by two.
For example, if the final two numbers were:
2, 6
You would add 2 and 6 to get 8, and divide by 2, and you get the median 4.
In this set, we have
5, 8, 8, 8, 8, 9, 9, 9, 10, 10.
The final two numbers are 8 and 9, so you add 8+9=17, divided by 2 = 8.5.
Solve For X? I been stuck on this question..
Answer:
Step-by-step explanation:
What is the measure of angle GXI?
Answer:
Step-by-step explanation:
GXI with three points sounds like a triangle and a triangle angle equals 180 degrees.
Add picture and I'll try to solve full problem
Find the volume of the given solid. Bounded by the cylinder y2 + z2 = 16 and the planes x = 2y, x = 0, z = 0 in the first octant
Answer:
[tex]\mathbf{ \dfrac{128}{3}}[/tex]
Step-by-step explanation:
Given that:
[tex]y^2 + z^2 = 16; \\ \\ where; \ x = 2y , x =0, z= 0[/tex]
[tex]Replace \ z = 0 \ \text{in the given equation ;} y^2+z^2=16[/tex]
[tex]Then;[/tex]
[tex]y^2 = 16 \\ \\ y = \sqrt{16} \\ \\ y = \pm 4[/tex]
[tex]\text{So; in 1st octant \ limits of y }= 0 \to 4 \ \text{and for x }= 0 \to 2y[/tex]
∴
[tex]\text{Volume of solid: (V) = }\int ^{4}_{y=0} \int ^{2y}_{x=0} \sqrt{16-y^2} \ dxdy \\ \\ = \int^4_{y=0} \sqrt{16 -y^2} \ (x)^{2y} _o \ dy \\ \\ = \int^4_{y=0}\sqrt{16 -y^2} (2y -0) \ dy \\ \\ V = \int^{4}_{y=0} \ 2y \sqrt{16 - y^2} \ dy[/tex]
[tex]Now, let:\\\\ 16 - y^2 = u \\ \\ -2ydy = du \\ \\ 2ydy = -du \\ \\ Hence, when \ y = 0; u = 16 \\ \\ and \\ \\ when \ y = 4 \ then \ u = 0[/tex]
∴
[tex]V = \int ^4 _{y=0} \ 2y \sqrt{16 -y^2 } \ dy \\ \\ = \int ^0_{16} - \sqrt{u}\ du \\ \\ = - \int^0_{16} \ u^{^{\dfrac{1}{2}}} \ du \\ \\ = \Bigg [\dfrac{u^{^{\dfrac{1}{2}+1}}}{\dfrac{1}{2}+1 } \Bigg]^0_{16} \\ \\ =\Bigg[ -\dfrac{u^{\dfrac{3}{2}}}{\dfrac{3}{2}}^0_{16} \Bigg] \\ \\[/tex]
[tex]= - \dfrac{2}{3}\Big( u^{\dfrac{3}{2}}\Big)^0_{16} \\ \\ = - \dfrac{2}{3} \Big(0^{^\dfrac{3}{2}}}- 16^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(0 - (4^2)^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(-(4)^{3}}\Big )[/tex]
[tex]= - \dfrac{2}{3} \Big(64\Big )[/tex]
∴
[tex]\mathbf{V = \dfrac{128}{3}}[/tex]
Becky wants to eat 1/4 of a small pumpkin pie. which if the following statements are correct? select all that apply
a) If she cuts the pie into 8 pieces of the same size, she should eat 2 pieces
b) If she cuts the pie into 10 pieces of the same size, she would eat 4 pieces
c) If she cuts the pie into 12 pieces of the same size, she should eat 3 pieces
What is the area of the triangle at the right?
Answer:
13.16
Step-by-step explanation:
formula= (absin∅)/2
= (4×9×sin47)/2
= 13.16
If the critic rates a total of 100 movies, what is the best prediction for the number of movies she gives exactly 3 stars?
А
27
B
47
50
D
35
Answer:
I think its gonna be 35 I'm not sure
Memorial Day Spending The National Retail Federation conducted a national randomly-selected survey of 8,526 consumers on September 1-9, 2009 asking households how much they plan to spend on Memorial Day. I would like to know if the average amount households planned to spend on Memorial Day is less than $57. What are the observational units
Answer:
households
Step-by-step explanation:
An observational units are defined as the entity for which the information is received and the statistics are compiled of in the process of collecting the statistical data. It is also known as the statistical unit.
In the context, National Retail Federation is conducting a survey asking various households how much they are planning to spend on the memorial day. So the observational units in this study are the household because the information are collected on the basis of each household going to spend on the Memorial day.
The observational units in this will be households.
What will be the observational unit?An observational unit is defined as the entity for which the data is received and the statistics are collected in the process of collecting the statistical data. It is also known as the statistical unit.
In this context, National Retail Federation is executing a survey asking various households how much they are planning to spend on memorial day.
So the observational units in this study are the household because the information is gathered on the basis of each household going to expend on Memorial day.
Thus the observational units in this will be households.
To know more about Observation follow
https://brainly.com/question/25843544
Information collected from runner 3# is in the table below
The constant proportionality for runner 3 is..?
Answer:
the constant of proportionality would be 9
Zander found these coins in his Couch
Answer:
91 cents
Step-by-step explanation:
3 quarters+3 nickel+1 penny=91 cents
Answer:
91 cents
Step-by-step explanation:
3 quarters=75c
3 nickels=15c
1 penny=1c
75c+15c+1c=91 cents
I need help the question is what is the are of the composite figure
Answer:
Option 4
Step-by-step explanation:
Area of a trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Here, [tex]b_1[/tex] and [tex]b_2[/tex] are the bases and 'h' is the height between the bases.
Area of the composite figure = Area of two trapezoids given
= [tex]\frac{1}{2}(12+12)14+\frac{1}{2}(25+31)11[/tex]
= [tex]\frac{1}{2}(24)(14)+\frac{1}{2}(56)(11)[/tex]
= 168 + 308
= 476 square ft
Option 4 is the answer.