Answer:
Population mean = 7 ± 2.306 × [tex]\frac{2.29}{\sqrt{9} }[/tex]
Step-by-step explanation:
Given - A university researcher wants to estimate the mean number
of novels that seniors read during their time in college. An exit
survey was conducted with a random sample of 9 seniors. The
sample mean was 7 novels with standard deviation 2.29 novels.
To find - Assuming that all conditions for conducting inference have
been met, which of the following is a 94.645% confidence
interval for the population mean number of novels read by
all seniors?
Proof -
Given that,
Mean ,x⁻ = 7
Standard deviation, s = 2.29
Size, n = 9
Now,
Degrees of freedom = df
= n - 1
= 9 - 1
= 8
⇒Degrees of freedom = 8
Now,
At 94.645% confidence level
α = 1 - 94.645%
=1 - 0.94645
=0.05355 ≈ 0.05
⇒α = 0.5
Now,
[tex]\frac{\alpha}{2} = \frac{0.05}{2}[/tex]
= 0.025
Then,
[tex]t_{\frac{\alpha}{2}, df }[/tex] = 2.306
∴ we get
Population mean = x⁻ ± [tex]t_{\frac{\alpha}{2}, df }[/tex] ×[tex]\frac{s}{\sqrt{n} }[/tex]
= 7 ± 2.306 × [tex]\frac{2.29}{\sqrt{9} }[/tex]
⇒Population mean = 7 ± 2.306 × [tex]\frac{2.29}{\sqrt{9} }[/tex]
Answer:
E
Step-by-step explanation:
on ap classroom
What is the radius of a circle whose equation is (x – 7)2 + (-10)2 = 4?
2 units
4 units
8 units
16 units
Answer:
Its A) 2 units
Step-by-step explanation:
Consider the expression
Please help. This is due soon. Ty 
Answer:
3 dollars and 9 cents.
Step-by-step explanation:
From the question given above, the following data were obtained:
Total amount = 20 dollars
Amount for gift A = 9 7/10 dollars
Amount for gift B = 6 2/5 dollars
Amount for gift C =?
The amount of money she has left for gift C can be obtained as follow:
A + B + C = 20
9 7/10 + 6 2/5 + C = 20
Change to improper fraction
97/10 + 32/5 + C = 20
(97 + 64)/10 + C = 20
161/10 + C = 20
Collect like terms
C = 20 – 161/10
C = (200 – 161)/10
C = 39/10
Change to mixed fraction
C = 3 9/10 dollars
C = 3.9
C = 3 dollars and 9 cents
Therefore, Kathy had 3 dollars and 9 cent for gift C
if cot theta = -2, find the value of cot theta + cot (theta -pi) + cot (theta-2pi)
Given:
[tex]\cot \theta = -2[/tex]
To find:
The value of [tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)[/tex].
Solution:
We know that,
[tex]\cot (\theta -n\pi)=\cot \theta[/tex] ...(i)
Where n is an integer.
We have,
[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)[/tex]
Using (i), it can be written as
[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=\cot \theta +\cot \theta +\cot \theta [/tex]
[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=3\cot \theta[/tex]
It is given that [tex]\cot \theta = -2[/tex].
[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=3(-2)[/tex]
[tex]\cot \theta +\cot (\theta -\pi)+\cot(\theta -2\pi)=-6[/tex]
Therefore, the value of the given function expression is [tex]-6[/tex].
A pipeline is placed diagonally across a rectangular field that is 25yd wide and 30yd long. How long is the pipeline, to the nearest yard?
Answer:
the pipe is 39.1 yards long.
Step-by-step explanation:
you would use pythagorean theorem (a²+b²=c²). plug the 25 in to the a² and plug the 30 in to the b² and figure out c² (it would look something like this 25²+30²=c²). to do that you need to square the 25² and the 30². the 25² would turn out to be 625 and the 30² would be 900 you would add them and get 1525. then you would squareroot 1525(
[tex] \sqrt{1525} [/tex]
) and get 39.05 and round it up and get 39.1 yards. dont forget to put the mesurements down
Select all expressions that are equal
Answer:
A and D. C and E
Step-by-step explanation:
A and D = -6
C and E=-14
Answer:
B and E. Both equal -14 which equals 8-12-(6+4) :)
Find the missing angle according to the Triangle Exterior Angle Theorem
Answer:
x=128°
Step-by-step explanation:
90+38=128
Which figure can be formed from the net?
Answer:
its the figure on the top left, so A
brainliest pls! :D
Answer: the third one
Step-by-step explanation:
i took the quiz on k12
Can anyone help, I got really confused doing this problem, and I can’t find the answer for it.
Answer: The area is 45 square feet
Step-by-step explanation: Use the formula (base*height)/2. Base in this case is 15, while height is 6. (15*6)/(2) It should equal 45 square feet.
Answer:
45^ft
Step-by-step explanation:
1/2 B ×H
1/2(6)×15=45^ft
Mr. Green drove 100 miles in 2 hours. He continues to drive at this same speed,
If he does not stop, how long will it take Mr. Green to drive 400 more miles?
A.5 hours
B.4 hours
C.8 hours
D.9 hours
Identify the response variable and whether the setting involves a single sample, a matched pairs, or two independent samples.
a. A chemist obtains a reference specimen of known concentration from the National Institute of Standards and Technology. She then makes 20 measurements of the concentration of this specimen with the new method and checks for bias by comparing the mean result with the known concentration.
b. Choose 40 romantically attached couples in their midtwenties. Interview the man and woman separately about a romantic attachment they had at age 15 or 16. Compare the attitudes of men and women.
c. Another chemist is checking the same new method. He has no reference specimen, but a familiar analytic method is available. He wants to know if the new and old methods agree. He takes a specimen of unknown concentration and measures the concentration 10 times with the new method and 10 times with the old method.
Answer:
1. single sample design
2. matched pairs
3. two independent samples.
Step-by-step explanation:
the response variable is known as the dependent variable, it is the variable that the researcher is interested i finding. the response variable is the x variable that responds to changes in the independent variable.
1.
In this question the researcher has only one sample that is the specimen. that is the reference specimen that she obtained. Therefore it is a single sample design.
the response variable here is the measurement of concentration.
2. In this question we have two pairs, men and women. The researcher is interested in comparing attitudes as she interviews them. so response variable is attitude or behavior
3. this is a 2 independent sample design. The researcher is using two different methods to test and their average is being compared.
32
Which of the following is equivalent to
(16^3/2)^1/2
?
6
8
12
64
Answer:
8
Step-by-step explanation:
2. A net of a triangular prism is shown. The bases are isosceles triangles.
5 in
2.5 in
3 in.
What is the surface area of the prism?
Answer:
look at this dudeee
Surface area of the prism given is 46 inches².
What is Surface Area?The area of a three dimensional object on it's outer surface is called the surface area of the object
Given net of a prism.
The given net consists of three rectangles and two triangles.
Find the area of each of the two dimensional figures.
Given, the bases are isosceles triangles.
So the two rectangles are of dimensions 5 inch × 2.5 inch and third rectangle is of the dimensions 5 inch × 3 inch.
Total area of the rectangles = (5 × 2.5) + (5 × 2.5) + (5 × 3)
= 40 inches²
Area of two triangles = 2 × [tex]\frac{1}{2 }[/tex] × 3 × 2
= 6 inches²
Surface area of the prism = 40 inches² + 6 inches² = 46 inches²
Hence the required area is 46 inches².
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Members of a baseball team raised $1479.25 to go to a tournament. They rented a bus
for $800.50 and budgeted $45.25 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament.
PLEASE HELP FAST ITS FOR A TEST
Answer:
The equation is: [tex]800.5 + 45.25p \leq 1479.25[/tex]
The team can bring at most 15 players to the tournament.
Step-by-step explanation:
They rented a bus for $800.50 and budgeted $45.25 per player for meals.
This means that the cost for bringing p players is given by:
[tex]C(p) = 800.5 + 45.25p[/tex]
Members of a baseball team raised $1479.25 to go to a tournament.
This means that:
[tex]C(p) \leq 1479.25[/tex]
So
[tex]800.5 + 45.25p \leq 1479.25[/tex]
[tex]45.25p \leq 1479.25 - 800.5[/tex]
[tex]p \leq \frac{1479.25 - 800.5}{45.25}[/tex]
[tex]p \leq 15[/tex]
The team can bring at most 15 players to the tournament.
adding and subtracting polynomials
Subtract 2x² + 6x - 5 from 7x² + 3x + 4
Answer: 5x^2 - 3x + 9
Step-by-step explanation:
Answer:
5x^2 - 3x + 9
Step-by-step explanation:
Pls help with this question.
Answer:
C. Supplementary angles
Step-by-step explanation:
because they add up to 180°
Answer:
Supplementary angles
Step-by-step explanation:
Supplementary angles b/c the 2 angles would have to equal 180
Very much need some help ASAP !!
Answer:
D
Step-by-step explanation:
It cannot be Option A because the values are halve and there is nothing to distribute to them to make the values equal.
It's not option C because if you distribute 2y to each term in the parenthesis
you get -4[tex]y^{5}[/tex] + 6y³ + 4y². But where is the 8y² and -2y?
While Option B is equivalent, you can factor it out more and find the common factor of -2 to distribute among them as shown in option D
It is option D because distributing the -2y to each term solves to
-4[tex]y^{5}[/tex] + 6y³ + 8y² -2y.
A dilation produces a smaller figure. Which is a possible scale factor?
Answer:
:the picture dosent load bro
Step-by-step explanation:
I can't see pictures, but any number under 1 shrinks and image.
Edit: I saw your comment. It's B, because it is the only one below 1
---
sorry if this doesn't help
could you help please i will give points but please explain
Answer: 7/12
Step-by-step explanation: Given that,
(5/6) - (1/4) = ?
The difference Will be, take L.C.M. of 6 and 4 which is 12, then we get,
= ( 10 - 3 ) / 12
= 7 /12
The length of a rectangle is 10 cm, which is 1/3 of it's perimeter. Evaluate its perimeter
Answer:
Perimeter = 30 cm
Step-by-step explanation:
10 cm x 3 = 30 cm
the required perimeter of the given rectangle is 30 cm.
What is the perimeter?Perimeter is the measure of the figure on its circumference.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
Here,
The length of a rectangle is 10 cm, which is 1/3 of it's perimeter.
Length = 1/3 of perimeter
10 = 1/3 perimeter
perimeter = 3 × 10
perimeter = 30 cm
Thus, the required perimeter of the given rectangle is 30 cm.
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30a + 39b what is the answer
Answer:
[tex]3(10a + 13b)[/tex]
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
GCF = 3
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]3( \frac{30a}{3} + \frac{39b}{3} )[/tex]
3) Simplify.
[tex]3(10a + 13b)[/tex]
Therefor, the answer is 3 ( 10a + 13b)
Sarah is redecorating her bedroom and wants to pack away some picture frames. She is using a box that has measurements of 7 1/2 inches long, 3 2/3 inches wide, and 4 1/4 inches tall for storing them.
Part A:
What is the volume of Sarah's box?
Part B:
Each picture frame has a volume of 2 1/2in. Using your findings in Part A, how many picture frames can Sarah fit in her box?
Answer:
A. 71/2 = 35.5 + 32/3= 10.7 + 41/4= 10.3
35.5 + 10.7 + 10.3 = 56.5
B. 21÷2 = 10.5
56.5 ÷ 10.5 = 5.380952381
5 pictures frames
What is 3 1/5 -2 3/5?
Answer:
0.6 or 3/5
Step-by-step explanation:
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]3\frac{1}{5} -2\frac{3}{5} \\\\\frac{16}{5} -\frac{13}{5} \\\\\frac{3}{5}[/tex]
Jasmine bought a pennant (triangle) of the favorite baseball team. If the base is 16 inches and height is 24 inches, how much area will it cover on her wall? (HOW DID YOU GET YOUR ANSWER, PLEASE SHOW ME YOUR WORK!!)
A. 600
B. 111
C. 598
D. 192
E. 9854.05
F. 9843.75
G. 55
H. 1
A normal six-sided die is thrown once. The number of outcomes in the sample space is
The number of outcomes in the sample space is 6.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
When you roll a 6 sided dice, number of dots on uppermost face is called as outcome. Now, whenever a dice is rolled we can get either 1, 2,3,4,5 or 6 dots on the upper most face that is now outcome.
So experiment here is "Rolling a 6 faced dice" and list of possible outcomes is "{1,2,3,4,5,6}".
Sample space by its definition is list of all the possible outcomes of an experiment.
S={1,2,3,4,5,6}
Hence, the number of outcomes in the sample space is 6.
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A farmer sells 9.8 kilograms of pears and apples at the farmer's market. 3/4 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?
Answer:
2.45 kg of apples
Step-by-step explanation:
The farmer starts with 9.8 kg of fruit, and 3/4 of that is pears meaning the remaining 1/4 is apples. 9.8kg * 1/4 = 2.45 kg of apples
A cosine function has a period of 5π6, an amplitude of 6, and a vertical translation 5 units down. The function is not reflected over the x-axis.
What is the equation for this cosine function?
Answer:
The equation is "[tex]y=6 \ Cos(\frac{12}{5}x)-5[/tex]". A further explanation is described below.
Step-by-step explanation:
The given values are:
Period,
B = [tex]\frac{5 \pi}{6}[/tex]
= [tex]\frac{12}{5}[/tex]
Amplitude,
A = 6
Vertical translation down,
D = -5
As we know,
The equation of cosine function will be:
⇒ [tex]y=A \ Cos(Bx)+D[/tex]
On substituting the values in the above equation, we get
⇒ [tex]y=6 \ Cos(\frac{12}{5}x)+(-5)[/tex]
⇒ [tex]y=6 \ Cos(\frac{12}{5}x )-5[/tex]
Answer:
Step-by-step explanation:
What rule describes the translation?
Write tule as an ordered pair
if a televison screen measures 24 inches high and 18 inches wide what size televison is it
I don't quite get what you want, so here, the TV could be a medium (If that's what you wanted), and the TV could be 24 by 18 inches (If that's what you wanted instead.)
Answer:
35 in.
Step-by-step explanation:
What is the cost of 12.7 gallons of gasoline at $2.15 per gallon?
Please Help I’ll put Brainliest!!!!!!!
Answer:
$27.31 (rounded to the nearest cent)