We have two samples, A and B, so we need to construct a 2 Samp T Int using this formula:
[tex]\displaystyle \overline {x}_1 - \overline {x}_2 \ \pm \ t^{*} \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex]In order to use t*, we need to check conditions for using a t-distribution first.
Random for both samples -- NOT STATED in the problem ∴ proceed with caution!Independence for both samples: 130 < all items sold at Location A; 180 < all items sold at Location B -- we can reasonably assume this is trueNormality: CLT is not met; n < 30 for both locations A and B ∴ proceed with caution!Since 2/3 conditions aren't met, we can still proceed with the problem but keep in mind that the results will not be as accurate until more data is collected or more information is given in the problem.
Solve for t*:
We need the tail area first.
[tex]\displaystyle \frac{1-.9}{2}= .05[/tex]Next we need the degree of freedom.
The degree of freedom can be found by subtracting the degree of freedom for A and B.
The general formula is df = n - 1.
df for A: 13 - 1 = 12df for B: 18 - 1 = 17 df for A - B: |12 - 17| = 5Use a calculator or a t-table to find the corresponding t-score for df = 5 and tail area = .05.
t* = -2.015Now we can use the formula at the very top to construct a confidence interval for two sample means.
[tex]\overline {x}_A=39[/tex] [tex]s_A=8[/tex] [tex]n_A=13[/tex] [tex]\overline {x}_B = 55[/tex] [tex]s_B=2[/tex] [tex]n_B=18[/tex] [tex]t^{*}=-2.015[/tex]Substitute the variables into the formula: [tex]\displaystyle \overline {x}_1 - \overline {x}_2 \ \pm \ t^{*} \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }[/tex].
[tex]39-55 \ \pm \ -2.015 \big{(}\sqrt{\frac{(8)^2}{13} +\frac{(2)^2}{18} } } \ \big{)}[/tex]Simplify this expression.
[tex]-16 \ \pm \ -2.015 (\sqrt{5.1453} \ )[/tex] [tex]-16 \ \pm \ 3.73139[/tex]Adding and subtracting 3.73139 to and from -16 gives us a confidence interval of:
[tex](-20.5707,-11.4293)[/tex]If we want to interpret the confidence interval of (-20.5707, -11.4293), we can say...
We are 90% confident that the interval from -20.5707 to -11.4293 holds the true mean of items sold at locations A and B.
If 3K is x% of 3000, then an expression for x is..?
well, let's see it this way, we know that 3000 is the 100%, and we also know that 3K is x% of 3000, so then
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 3000 & 100\\ 3K& x \end{array} \implies \cfrac{3000}{3K}=\cfrac{100}{x} \\\\\\ 3000x=300K\implies x=\cfrac{300K}{3000}\implies x=\cfrac{K}{10}[/tex]
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A circle's diameter is 8 centimeters.
What is the circle's area (use 3.14 for pi and round to the nearest
tenth)?
Answer:
16 pi cm^2
Step-by-step explanation:
Area = pi r^2 r = 1/2 d
= pi (4^2) = 16 pi cm^2
can anyone help me answer this
Answer:
Step-by-step explanation:
4(4/3) DIVIDED INTO 2(2/3) (mixed numbers)
16/3 DIVIDED INTO 8/3
16/8=2
16/3 divided into 8/3
is the same as
16/3 multiplied be 3/8
48/24 =2
I can't seem to figure this one out, can someone help me?
Answer:
I think the volume is 18
Step-by-step explanation:
6×3 = 18
The volume V of a given mass of gas varies
directly as the temperature T and inversely as the
pressure P. If V = 341.0 in 3 when T = 310° and
P=10 lb/in.2, what is the volume when T= 120°
and P= 15 lb/in.2?
Apply combine gas law
[tex]\\ \rm\dashrightarrow \dfrac{P1V1}{T1}=\dfrac{P2V2}{T2}[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{10(341)}{310}=\dfrac{15V2}{120}[/tex]
[tex]\\ \rm\dashrightarrow 11=\dfrac{V2}{8}[/tex]
[tex]\\ \rm\dashrightarrow V2=88in^3[/tex]
Answer:
88 in³
Step-by-step explanation:
we are given that the volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P.
Condition-1:
The volume V of a given mass of gas varies directly as the temperature T , thus
[tex]V\propto T\\\implies V=kT[/tex]
Condition-1:
The volume V of a given mass of gas varies inversely as the pressure P, therefore,
[tex]V\propto 1/P\\\implies V=k\cdot 1/P[/tex]
combining 1 and 2 yields
[tex]V\propto k\cdot T/P[/tex]
Case-1:
V = 341.0 in³T = 310°P=10 lb/in²To find:
kFinding the constant of proportionality
[tex]341= k\cdot 310/10\\\implies k=341\times 10/310 \\ \implies \boxed{k=11}[/tex]
Case-1:
To find:
Vwhen:
T = 120°P=15 lb/in²k=11Finding the volume:
[tex]V= 11\times 120/15\\\implies V=11\times 8 \\ \implies \boxed{V=88}[/tex]
The amount of $300 was deposited into a continuously compounded interest account that paid 0.5% interest per year. Which of the following expressions would be used to
determine the number of years it would take for the account to have a balance of $600?
The expression that can be used to determine the number of years that it would take to have a balance of $600 is In2 ÷ In[tex]e^{0.005}[/tex].
How long would it take to have a balance of $600?When an amount is compounded continously, it means that both the amount deposited and the interest already accrued increases in value continously over a period of time.
Time = In(FV/PV) ÷ In([tex]e^{0.005}[/tex]
In2 ÷ In[tex]e^{0.005}[/tex]
Tela surveys the 40 seventh and eighth graders
that play the clarinet and trumpet in the band.
The table shows her results. What percent of the
clarinet players are eighth graders?
find the least common denominator of 7/6 and 1/8
Answer:
24
Step-by-step explanation:
24÷8=3
24÷6=4
Four friends each bought matching necklaces and two pairs of earrings the necklace were priced at 15.00 if the total bill for all 4 friends was 128.00 what was the price of one pair of earrings
The cost of one pair of earing will be £8.59.
What is an expression?Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication and division.
Given that four friends, each bought matching necklaces and two pairs of earrings the necklace was priced at 15.00 if the total bill for all 4 friends was 128.00.
The cost of one pair of earing will be,
£128-£15-£15-£15-£15= £68
Number of pairs of earing,
2x4=8 pairs of earrings
The cost of one pair of earrings is,
£68 / 8 = £8.50
Therefore, the cost of one pair of earing will be £8.59.
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what is the cost of each shirt using the equation 10x+40?
1 shirt=
5 shirts=
10 shirts=
50 shirts=
The cost of 1 shirt would be 10
you would need to multiply the cost of one shirt by the number of shirts bought (x)
In how many ways can 6 students be seated in a row of 6 seats if 2 of the students insist on sitting beside each other?
Using the arrangements formula, it is found that there are 240 ways for the students to sit.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex].
In this problem:
The 2 students can sit in 2! ways, in 5 positions(1 and 2, 2 and 3, 3 and 4, 4 and 5 or 5 and 6).The remaining 4 students can sit in 4! ways.Hence:
T = 5 x 2! x 4! = 240.
There are 240 ways for the students to sit.
More can be learned about the arrangements formula at https://brainly.com/question/24648661
Five roads form two triangles. What is the value of x? Justify your answer.
Using sine rule, the value of x in the triangle formed by five roads is 53.36 degrees.
How to find the angle of triangle using sine law?The value of x can be found using sine rule.
Therefore,
73.2 / sin 37° = 97.6 / sin x
cross multiply
73.2 sin x = 97.6 sin 37°
73.2 sin x = 97.6 × 0.60181502315
73.2 sin x = 58.7371462596
divide both sides by 73.2
sin x = 58.7371462596 / 73.2
x = sin⁻¹ 0.80242003086
x = 53.3618236772
x = 53.36°
Therefore, the value of x is 53.36°
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There are 4 cups in 1 quart?? 23pts
Answer:
0.56
Step-by-step explanation:
8.96/(4*4)
there are 16 cups in the 4 quart jug so we need to divide the price by 16 to get the price per quart
Please help me with this math problem!! Will give brainliest!! :)
Answer:
P = 67°
Step-by-step explanation:
[tex]tan(P)=\frac{24}{10}[/tex]
[tex]P=tan^{-1} (2.4)=67.3^{o}[/tex]
Hope this helps
Answer:
67°
Step-by-step explanation:
Check The attached photo
A man gave 35% of his money to his elder on and 40% of the remainder to the younger son.Now, he is left with 11700 rupees.How much money had he?
H(x)=-(x+11)^2+1. What are the zeros of the function? What is the vertex of the parabola?
Answer:
x=-14
Step-by-step explanation:
-x-11^2+1
-x-11^3
-x^14
x=-14
The base of a solid is bounded by x^2 + y^2 = 16. Cross sections perpendicular to the x-axis are right isosceles triangles with one leg located in the base. Which definite integral represents the volume of this solid?
The equation for the base is that of a circle, so the cross sections will have a leg of length equal to the vertical distance between its halves.
x² + y² = 16 ⇒ y = ±√(16 - x²)
⇒ length = √(16 - x²) - (-√(16 - x²)) = 2 √(16 - x²)
Cross sections with thickness ∆x have a volume of
1/2 length² ∆x = 1/2 (2 √(16 - x²))² ∆x = (32 - 2x²) ∆x
since they are isosceles triangles and so their bases and heights are equal.
Then the total volume would be (D)
[tex]\displaystyle \int_{-4}^4 \frac12 \left(2 \sqrt{16-x^2}\right)^2 \, dx[/tex]
You have a budget with room for no more than 30% of your take-home pay
for rent. Your take-home pay is $2,400 per month. How much can you
afford to pay for rent per month? *
Answer:
Rent = 720 dollars / month
Step-by-step explanation:
Remark
You can afford to pay out 30% of your take home pay for rent.
Givens
Take home pay: 2400 dollars.
Rent alotment: 30%
Rent:x
Formula
rent = % of pay * Take home pay
Solution
x = 30/100 * 2400 Divide by 100
x = 0.30 * 2400 Multiply the right
x = 720
which of the following is a representation of 12!
Answer:
12
Step-by-step explanatik just need the points
answers needed before the 29th of april, 2022. please help asap
Answer:
3 stunts per movie
Step-by-step explanation:
Answer:
3:1
Step-by-step explanation:
12 sunts in 4 movies
simply this.
12:4 is the ratio
3:1 is the final ratio
Therefore, there is 3 stunts per movie.
The diameter of a circle is 4 kilometers. What is the radius?
d=4 km
Answer:
2 km
Step-by-step explanation:
radius = [tex]\frac{diameter}{2}[/tex]
radius = [tex]\frac{4}{2}[/tex]
radius = 2 km
Hello, I'm bad at this lesson. Can you help me with this?
Answer:
See below ↓↓↓↓↓
Step-by-step explanation:
Q1)
c. ADA chord is a line that does not pass through the center of the circleQ2)
dIt gives the name of the center of the circleQ3)
BE = 2BCBC = 16/2 = 8Q4)
b. arc ABEIt covers more than 180° of the circle ⇒ major arcQ5)
a. 70°180° - 110° [remaining of the angle)Which statement is most likely to be true? the ages of the mackerels are the most dispersed from the team’s mean. the ages of the stars are the most dispersed from the team’s mean. the ages of the dolphins are the most dispersed from the team’s mean. the ages of the giants are the most dispersed from the team’s mean.
The ages of the Stars are the most dispersed from the team’s mean
Which statement is right?Standard deviation is one way to measure the average of the data by determining the spread of the data. It actually explains how much the observation points are further away from the mean of the data.
Higher the standard deviation, higher the spread of the data and higher is the uncertainty. This means that the team with the highest standard deviation will have the most dispersion.
In this case, the standard deviation of 4.1 is the largest number, therefore, the statement "The ages of the Stars are the most dispersed from the team’s mean." is true
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Someone please help…
Harvey the wonder hamster can run 3 1/6 km in 1/4 hour. Harvey runs at a constant rate.
Find his average speed in kilometers per hour.
Answer:
12 2/3 km per hour
Step-by-step explanation:
What is Harveys speed?
Take the distance and divide by the time
3 1/6 km
--------------
1/4 hour
Change the mixed number to an improper fraction
3 1/6 = (6*3+1)/6 = 19/6
19/6 km
--------------
1/4 hour
Copy dot flip
19/6 * 4/1 = 76/6 = 38/3 km/hr
3 goes into 38 12 times (12*3 = 36) with 2 left over
12 2/3 km per hour
4. Name three different rays.
Answer:
Spotted eagle rayManta ray (oceanic)Manta ray (reef)Let me know if this is not what you meant by rays, I can change it if needed.
is each shape a parallelagram or not
Answer:
You can have almost all of these qualities and still not have a parallelogram.
Explanation:
The four shapes that meet the requirements of a parallelogram are square, rectangle, rhombus, and rhomboid.
Use the answer from the previous task to determine p(z < −2.1). 0.0179 0.5832 0.9821 1
The value of the z is −2.1 then the probability P(z < −2.1) is 0.0179. Then the correct option is A.
What is a normal distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.
If the value of the z is −2.1. Then the probability will be
P(z < −2.1) = 0.0179.
More about the normal distribution link is given below.
https://brainly.com/question/12421652
Answer:
its a on edge 0.0179
Step-by-step explanation:
Help I need to turn this in in a hour!!!!
Answer:
Step-by-step explanation:
Draw a house for cell walls
draw a solar panel for photosyntheses
draw a sink for vacuoles
In a candy box, there are 5 times as many candies with nuts as candies without nuts. There are 24 candies in the box: How many candies with nuts are in the box?
Answer:im pretty sure its 20
Step-by-step explanation: because 4x5=20 and theres 24