Using the t-distribution, as we have the standard deviation for the sample, it is found that the 95% confidence interval for the mean strength gain of all students from this school if they joined the program is (7.85, 15.37).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 9 - 1 = 8 df, is t = 2.306.
The other parameters are given as follows, with the help of a calculator.
[tex]\overline{x} = 11.61, s = 4.89, n = 9[/tex]
Hence:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 11.61 - 2.306\frac{4.89}{\sqrt{9}} = 7.85[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 11.61 + 2.306\frac{4.89}{\sqrt{9}} = 15.37[/tex]
The 95% confidence interval for the mean strength gain of all students from this school if they joined the program is (7.85, 15.37).
More can be learned about the t-distribution at https://brainly.com/question/16162795
Look at the picture below. On the left is a rectangular prism. It is unfolded on the right. What is the term to describe a 3D object that has been “unfolded”?
A. A net
B. A drawing
C. A shell
D. A picture
Answer:
A. a net
Step-by-step explanation:
I did the test
A student took a test with 32 prob- lems. If he got of the problems cor- rect, how many problems did he get correct?
Answer:
He got all 32 correct
Step-by-step explanation:
I got this because it doesn't say about how many he got wrong so it would be 32
Answer:
Likely 32.
He most likely got 32 right if the number is not specified.
Please let me know if you need anything else!
slope intercept form: y= -10/7x - 8/7
what is the standard form?
Answer:
10x+7y = -8
Step-by-step explanation:
Standard form is Ax + By + C = 0 or Ax + By = C.
The first step is everything is multipled by 7, witch gives you 7y=-10x-8.
To solve that, 10x to both sides must be added, to get 10x+7y-8
Explanation:
First we multiply everything by 7 to clear out the denominators.
We get to 7y = -10x - 8
Then add 10x to both sides to arrive at 10x+7y = -8
Standard form is Ax+By = C where A,B,C are integers
In this case we have: A = 10, B = 7, C = -8
Some math textbooks insist that A > 0.
Olive flipped a coin and rolled a number cube with the
numbers 1-6 on it. What is the probability that she flipped
heads and rolled an even number?
1
al
2
3
4
5
6
н
H1
H2
H3
H4
H5
16
T
T1
T2
T3
T4
T5
T6
3
A pyramid and a prism share the same base. The prism has 99 edges. How many faces does the pyramid have
A pyramid is a three-dimensional object have one common point at the top. The pyramid will have 34 faces.
A pyramid's base form determines how many faces it has. Since the bases of the prism and the pyramid in this problem are identical, we may utilise the knowledge of the prism to ascertain the number of faces on the pyramid.
Three faces of a prism meet at each vertex. Since there are 99 edges on the prism in this instance, we can divide that number by 3 to get how many vertices there are.
99 ÷ 3 = 33
The pyramid has the same number of edges as the prism since its base is identical to that of the latter. The pyramid does, however, have a second face, which is the base itself.
Therefore, the pyramid has 33 + 1 = 34 faces.
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What is the value of the expression 22 + 62 ÷ 22? (1 point)
10
13
16
36
Answer:
none of these
Step-by-step explanation:
none of these is the correct answer because if this is pemdas it would be 24.818
and if it is not pemdas it would still be 3.818.
The way pemdas would be solved is 62 divided by 22 first which is 2.818
and then 2.818 + 22 which= 24.818.
But if your just doing it in order and it isn't pemdas than you would do 22 + 62 which=84 and then 84 divided by 22=3.818
So your answers are wrong I wanted to let you know that is there an option od none of theres or is there more to the question I can help you with.
I hope I can help and that this helps have a awesome day:)
What about this one?
Answer:
Answer:
= 1.044
Step-by-step explanation:
-------------------------------
Answer:
0.36 x 2.9 = 1.044
Step-by-step explanation:
Which number equals (34)−2?
9169 over 16, , ,
−916 negative 9 over 16, , ,
16916 ninths, , ,
−169
Answer:
916 negative 9 over 16, , ,
What is 18x + 6 equivalent expression
Answer:
A
Step-by-step explanation:
-3×6x=-18x -3×-2=6 -18x+6
Which of the following numbers has the correct number of significant digits for the sum of 4.0125 and 5.72?
A. 9.7324
B. 9.732
C. 9.73
D. 9.7
Answer:
the answer to your question is 9.73
Answer:
A
Step-by-step explanation:
Because according to my calculations there are supposed to be 5 digits and for the answers for the question A is the only letter with an answer with 5 digits.
My answer was 9.7325(even though the answers is different they still have the same number of digits) and for A it is 9.7324 which is another 5 digits.
Here is why I got 5 digits.
4.0125
5.7200
_______
When we add these we have to add 0er's to 5.72 because it doesn't have enough digits to add so you add zero's to it.
So 5 +0=5 2 +0=2 1 +2=3 0 +7=7 and for our last number 4 + 5=9 and so our answer is ?
9.7325
and the 9 = 1 digit 7=2 digit 3= 3 digits 2= 4 digits and last 5 = 5 digits.
Hope this helps have a great day:)
This figure represents a design being added to a quilt square. Malcolm wants to add this design in a striped fabric to 12 quilt squares.
What is the area of the quilt that will be striped fabric?
35 cm²
45 cm²
420 cm²
540 cm²
Step-by-step explanation:
here is the answer. I just took th test
The area of the quilt that will be striped fabric is,
⇒ 420 cm²
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
This figure represents a design being added to a quilt square.
And, Malcolm wants to add this design in a striped fabric to 12 quilt squares.
Now, The figure contain a triangle and a square shape.
Hence, We get;
Area of triangle = 1/2 (Base x Height)
= 1/2 (5 x 4)
And, Area of square = side²
= 5²
Hence, Total area of figure is,
⇒ 5 × 5 + 1/2 (5 × 4)
⇒ 25 + 10
⇒ 35 square units
Hence, The area of the quilt that will be striped fabric is,
⇒ 35 × 12
⇒ 420 cm²
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Complete question is shown in figure.
3. A function is defined by the set of ordered pairs {(2,4),(6,2).(3,1)(7,5)}. Which of the
following values is not in the domain of the function?
(1) 7
(3) 3
(2) 6
(4) 4
circle A has a diameter of 9 cm. Circle b has a radius of 5 cm
Which circle has the larger circumference ?explain your reasoning
About how many centimeters larger is it?explain your reasoning
Answer:
Circle B has a larger circumference.
Step-by-step explanation:
Circumference of a circle is the diameter times pi.
C = pi•d
Circle B has radius 5, so its diameter is 10. Circle A has diameter of 9. A larger diameter will give a larger circumference.
C_circle A = 9pi
~= 28
While,
C_circle B = 10pi
~= 31
Circle B's circumference is about 3 cm larger. More accurately it's 1pi larger.
A large bag contains
14 pounds of pretzels. A small bag contains 30% of the pretzels that
the large bag contains.
How many pounds of pretzels does the small bag contain? Write your answer as a fraction.
Large bag contains 14
30% of 14 is 3 / 10 times 14 which is 42 / 10 = 21 / 5 pounds of pretzels, in improper form, 4 and 1 / 5th of a pound or 4.2 pounds
In the basketball game, Rachel scored 6 points less than twice the number of points Trina scored. Trina scored 9 points. How may points did Rachel score.
Answer:
Rachel scored 12 points in total
Explanation:
You must first multiply 9x2 which equals 18. Now you'll need to subtract 18-6 which equals 12. Therefore, Rachel scored 12 points in total.
I hope this helps! ^-^
Find y so that (1/4) ^-3 × (4)^8 = (1/4)^ -4y.. help me please. I will mark brainliest
please mark me as brainlest
Select all the pairs of x and y that are solutions to the system of inequalities:
y <-22 +6
I-y<6
x = 0, y = 0
x=-5. y = -15
x = 4, y = -2
x= 3, y = 0
x = 10, y = 0
Answer:
y=-15, y=-2, x=10,x=-5
Step-by-step explanation:
please help me!!!!!!!!!!!!!!
Answer:
D, 4x^2+x+2
Step-by-step explanation:
Substitute for f(x) and g(x)
2(x^2+3)+1/3*(6x^2+3x-12)
2x^2+6+2x^2+x-4
Therefore, 4x^2+x+2
The population of a town is decreasing at a rate of 2% per
year. In 2000 there were 1600 people.
a) Write an exponential decay function to model this situation.
b) Then find the population in 2008.
please help me, Thank you
Answer:
1362
Step-by-step explanation:
so
A=1600(1-0.02)^8
A = total population after 8 years
1600 = initial amount of people
0.02 = percent in decimal
8 = years after 2000
1- = decay
please solve the following, many thanks!!
Anotha one, irrelevant answers will be deleted! Thank you so much!!
Answer:
k = 2; y = 2·x·zx = 10; k = 2y = 192; y = 4·x·zz = 2; k = 3x = 48/9; k = 3/4Step-by-step explanation:
When we say "y varies jointly as x and z", we mean that y is proportional to x with some constant of proportionality, and also y is proportional to z with some constant of proportionality. The joint variation means that each "constant" of proportionality will depend on the other variable:
y = k·x·z
This can be solved for the different variables:
k = y/(x·z)
x = y/(k·z)
z = y/(k·x)
__
a)k = y/(x·z) = 30/(3·5) = 2; the equation is y = 2·x·z
b)k = 2 (read from the equation); x = y/(k·z) = 80/(2·4) = 10
c)y = k·x·z = 4·6·8 = 192; the equation is y = 4·x·z
d)k = 3 (read from the equation); z = y/(k·x) = 60/(3·10) = 2
e)k = 3/4 (read from the equation); x = y/(k·z) = 48/(3/4·12) = 48/9
find the coordinates of the point where the graph of the following function intersects the x axis y=x^2-5x+6/x-2
[tex]\stackrel{\textit{x-intercept occurs when y = 0}}{\stackrel{y}{0}=\cfrac{x^2-5x+6}{x-2}}\implies 0=x^2-5x+6\implies 0=(x-3)(x-2) \\\\\\ x= \begin{cases} 3\\ 2 \end{cases}\qquad \qquad \stackrel{coordinates}{(3~~,~~0)\qquad (2~~,~~0)}[/tex]
what is a polygon with 3 sides called?
Answer:
A triangle.
Step-by-step explanation:
A polygon with three sides is called a triangle.
If all the lengths and angles of the polygon are equal, it is said to be regular polygon.
A regular polygon having three equal sides is an equilateral triangle.
Kay rented a table at the fair for $30 and set up her work station. Each ornament that she makes costs approximately $2.50 for materials. She sells each ornament for $6.00. How many ornaments does she have to sell to earn a $40 profit?
Answer:
20 Ornaments
Step-by-step explanation:
20 + 40 = 70
6.00 - 2.50 = 3.50
70 ÷ 3.50= 20
Find the volume of the following cylinder. Use π=3.14
V=
Step-by-step explanation:
Height of cylinder = 15cm
Radius of cylinder = 8cm
Volume = πr²h
= 3.14×8×8×15
=3.14×960
=3014.4 cm²
Answer what the picture is asking.
Answer:
Step-by-step explanation:
-17x+44=180
-17x=136
x=-8
Top right angle = -4(-8)+5=37
Bottom Left angle=-13(-8)+39=143
Simplify the expression. -2x + -5 + 8x + -4
Answer:
6x - 9Step-by-step explanation:
Simplify by combining the like terms in steps
-2x + -5 + 8x + -4 =(8x - 2x) - (5 + 4) = 6x - 9Let's see
-2x+(-5)+8x+(-4)-2x-5+8x-4-2x+8x-5-46x-9Tim has read 10% of a book. He has 45 more pages to finish. How many pages are there in the book?
if Tim has read 10% of the book, that means he still hasn't read 90% of it yet, and we know that that 90% is 45 pages, so say the book has a total amount of pages of "x", which is 100%.
[tex]\begin{array}{ccll} pages&\%\\ \cline{1-2} 45&90\\ x&100 \end{array}\implies \cfrac{45}{x}=\cfrac{90}{100}\implies \cfrac{45}{x}=\cfrac{9}{10} \\\\\\ 450=9x\implies \cfrac{450}{9}=x\implies 50=x[/tex]
A tub contains red, green and blue counters. There are 20 more red counters than blue counters and one-third of the counters are green. If there are 60 green counters what is the probability of picking a red counter?
Answer:
7/18
Step-by-step explanation:
If 1/3 of the counters are green that means that 60 counters are 1/3 of the total number of counters. We can multiply 60 by 3 to find the total number (3/3) of counters: 60 × 3 = 180
Next, we can find out how many counters are blue and green by subtracting 60 from 180: 180 - 60 = 120
If there are 20 more red counters than blue counters, we can write this algebraically as x + (x + 20) = 120. x + 20 is the number of red counters and x is the number of blue counters
To find x, simplify the equation:
2x + 20 = 120
2x = 100
x = 50
There are fifty blue counters, therefore there are 70 red counters. The probability of picking a red counter is 70/180 or 7/18.
Hope this helps!
Name the marked angle in 2 different ways.