Answer:
The best point estimate for a confidence interval estimating the population μ is 16 ounces.
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The best point estimate for a confidence interval estimating the population μ is
The sample mean, so 16 ounces.
T interval
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 = 102 - 1 = 101
98% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 101 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.36
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.36\frac{3.4}{\sqrt{102}} = 0.79[/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 16 - 0.79 = 15.21 ounces
The upper end of the interval is the sample mean added to M. So it is 16 + 0.79 = 16.79 ounces
The 98 percent confidence interval for the population mean μ is between 15.21 ounces and 16.79 ounces.
At art class, Mr. Gibson spends 5 minutes giving instructions, 35 minutes working on the project, and 15 minutes cleaning up. If class starts at 1:15 PM, what time will it end? PM
Answer:
2:10 PM
Step-by-step explanation:
5+35+15=55 mins
1:15+55 mins=2:10PM
Which fraction is marked by the point on the number line?
Answer:
where is the numer line?
Step-by-step explanation:
A bucket has 16 tennis balls and 10 ping pong balls . What is the probability of selecting a ping pong ball , replacing it and then selecting a tennis ball
Answer:
40/169
Step-by-step explanation:
P(pp,tennis) = [tex]\frac{10}{26}[/tex] × [tex]\frac{16}{26}[/tex] = 40/169 in simplified form
The probability of selecting a ping pong ball, replacing it and then selecting a tennis ball is 40/169.
What is Probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.
The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
The degree to which something is likely to happen is basically what probability means.
We have,
Tennis ball = 16
Ping pong balls = 10
So, probability of selecting a ping pong ball, replacing it and then selecting a tennis ball
= 10/ 26 x 16/26
= 40/169
Learn more about Probability here:
https://brainly.com/question/11234923
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A heavy rope, 50 ft long, weighs 0.6 lb/ft and hangs over the edge of a building 120 ft high. Approximate the required work by a Riemann sum, then express the work as an integral and evaluate it.
Exercise (a)
How much work W is done in pulling the rope to the top of the building?
Exercise (b)
How much work W is done in pulling half the rope to the top of the building?
Answer:
Exercise (a)
The work done in pulling the rope to the top of the building is 750 lb·ft
Exercise (b)
The work done in pulling half the rope to the top of the building is 562.5 lb·ft
Step-by-step explanation:
Exercise (a)
The given parameters of the rope are;
The length of the rope = 50 ft.
The weight of the rope = 0.6 lb/ft.
The height of the building = 120 ft.
We have;
The work done in pulling a piece of the upper portion, ΔW₁ is given as follows;
ΔW₁ = 0.6Δx·x
The work done for the second half, ΔW₂, is given as follows;
ΔW₂ = 0.6Δx·x + 25×0.6 × 25 = 0.6Δx·x + 375
The total work done, W = W₁ + W₂ = 0.6Δx·x + 0.6Δx·x + 375
∴ We have;
W = [tex]2 \times \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= 2 \times \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 750[/tex]
The work done in pulling the rope to the top of the building, W = 750 lb·ft
Exercise (b)
The work done in pulling half the rope is given by W₂ as follows;
[tex]W_2 = \int\limits^{25}_0 {0.6 \cdot x} \, dx + 375= \left[0.6 \cdot \dfrac{x^2}{2} \right]^{25}_0 + 375 = 562.5[/tex]
The work done in pulling half the rope, W₂ = 562.5 lb·ft
Anyone can help with this
Answer:
C
Step-by-step explanation:
Notice how C is the only function that is quadratic. If you expand (2x-1)^2, you get 4x^2-4x+1. Since x is raised to the power of two, it isn't linear, but quadratic.
Answer:
C
Step-by-step explanation:
i used photomath and C was not the linear one!
Function Notation
If f(x) = -3x2 + 2x - 8, find each of the following:
f(-1)
f(0)
f(3)
f(1/3)
Calculate the volume of this triangular prism?
Answer:
960 sq cm
Step-by-step explanation:
(16*12*10)/2
Which of the following is the correct way to state the similarity between these two figures?
A.) ABCDE ~ YXVZW
B.) ABCDE ~ VWXYZ
C.) ABCDE ~ VZWYX
D.) ABCDE ~ ZWYXV
Answer:
ABCDE is similar to the ZWYXV
abc~def what sequence of transformation will move ABC onto def
Answer:
c
Step-by-step explanation:
Answer:
is C guys
Step-by-step explanation:
Assume v is a vector in R^5. You wish to compute a vector w such that the th entry of w, denoted wi, is the sum of vi-1,vi, vi+1. For example wi is the sum of ,vo,v1 and v2. For elements at the endpoints of w, you will only account for two elements in your sum. For example wo, (assuming zero-based indexing) is the sum of vo and v1. Construct a matrix A such that Av=w.
Answer:
Use the drawing tools to form the correct answer on the graph.
Graph the line that represents this equation:
Step-by-step explanation:
Can Someone please help me !!! ( you have to fill out the blanks )
Answer:
1. 5(a-6) = 5a-30
2. 2(3a-b) = 6a-2b
3. 5(-5x+3) = -25x+15
4. -(2c+3) = -2c-3
Both of their first step are correct (Show your calculations to explain)
x-9 = 5
x = 14
2x-18 = 10
2x = 28
x = 14
Step-by-step explanation:
All Above
The hanger image below represents a balanced equation. Find the value of n that makes the equation true.
Answer:
6
Step-by-step explanation:
16=n +10
subtract 10 from both sides and your left with 6=n
Find the value of each expression using the given information cot∅=8, csc<0
find sin ∅
9514 1404 393
Answer:
sin(∅) = -√65/65
Step-by-step explanation:
The identities that relate the cotangent, the cosecant, and the sine are ...
csc² = 1 +cot²
sin = 1/csc
_____
For the given values, we find ...
csc(∅)² = 1 +cot(∅)² = 1 +8² = 65
csc(∅) = -√65 . . . . . . . . . . . . . . . . square root with attention to sign
sin(∅) = -1/√65 = (-√65)/65
A bag of 4 balls weighs 6 pounds. Each ball weighs the same amount. What is the weight of each ball?
Margo can purchase tile at a store for $0.59 per tile and rent a tile saw for $49. At another store she can borrow the tile saw for free if she buys tiles there for $1.29 per tile. How many tiles must she buy for the cost to be the same at both stores?
Margo must buy
tiles for the cost to be the same at both stores.
Answer:
Also need help
please help!!!!!!!!!!!!!!!!!!!!
Answer:
I am not sure but think that the answer is 1/20
I believe you convert the whole number into a mixed fraction.
5 converted into quarters is 20/4. Then you divided 1/4 by 20/4.
1/4 divided by 20/4 is 1/20 or 0.05.
Please, don't refrain to tell me if this is incorrect. Thank you.
A brochure claims that the average maximum height a certain type of plant is 0.7 m. A gardener suspects that this estimate is not accurate locally due to soil conditions. A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m. Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m. Assume that the population standard deviation is 0.2 m.
Answer:
We accept the null hypothesis, that is, that the population mean is not different from 0.7.
Step-by-step explanation:
A brochure claims that the average maximum height a certain type of plant is 0.7 m.
This means that the null hypothesis is:
[tex]H_{0}: \mu = 0.7[/tex]
A gardener suspects that this estimate is not accurate locally due to soil conditions.
Hypothesis test to determine whether the population mean is different from 0.7m, which means that the alternate hypothesis is:
[tex]H_{a}: \mu \neq 0.7[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.7 is tested at the null hypothesis:
This means that [tex]\mu = 0.7[/tex]
A random sample of 43 plants is taken. The mean height of the plants in the sample is 0.65m.
This means, respectively, that [tex]n = 43, X = 0.65[/tex]
Assume that the population standard deviation is 0.2 m.
This means that [tex]\sigma = 0.2[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.65 - 0.7}{\frac{0.2}{\sqrt{43}}}[/tex]
[tex]z = -1.64[/tex]
Pvalue of the test:
Since we are testing that the mean is different of a value, and z is negative, the pvalue of the test is 2 multiplied by the pvalue of z = -1.64
z = -1.64 has a pvalue of 0.0505
2*0.0505 = 0.101
Using a 1% level of significance, perform a hypothesis test to determine whether the population mean is different from 0.7m.
0.101 > 0.01, which means that we accept the null hypothesis, that is, that the population mean is not different from 0.7.
Please help me with this :)
[tex]hope \: it \: helps[/tex]
What is -60a^2+642a-420
Answer:
The answer is −6(10a−7)(a−10)
Step-by-step explanation:
1) Factor out the common term 6.
[tex] - 6( {10a}^{2} - 107a + 70)[/tex]
2) Split the second term in 10a² - 107a + 70 into two terms.
[tex] - 6( {10a}^{2} - 7a - 100a + 70)[/tex]
3) Factor out common terms in the first two terms, then in the last two terms.
[tex] - 6(a(10a - 7) - 10(10a - 7))[/tex]
4) Factor out the common term 10a - 7.
[tex] - 6( 10a - 7)(a - 10[/tex]
Therefor, the answer is -6 ( 10a - 7) (a - 10).
find the slope
!!!!!please help QUICK!!!!
Answer:
3/4
Step-by-step explanation:
We can find the slope using two points
( 0,-5) and ( 4,-2)
The slope is given by
m = ( y2-y1)/(x2-x1)
= ( -2- -5)/( 4-0)
= (-2+5)/(4-0)
=3/4
Is 60.560 an irrational number or rational?
Answer: ratinal?
Step-by-step explanation:
PLEAS HELP THERE IS PIC drag the tiles to the correct boxes to complete the pairs. how many solutions does each equations have ?
Answer:
|2x+1|=0 has one solutions
2|x+1|=-2 has no solution
|x+21|=2 has two solution
Step-by-step explanation:
Find the length of the third side. If necessary,
round
to
the nearest tenth.
4
7
Answer:
The answer would be 8.1
Step-by-step explanation:
Find the perimeter of a rectangle with a length of 9 yards and a width of 6 yards. Enter only the number of yards in the answer box. The perimeter is ____ yards.
Answer:
Step-by-step explanation:
30
Which
Charles factors the expression 9 x + gx using a factor of 5 x. He writes the factored expression as 3 «(4x+1).
best describes the accuracy of Charles's solution?
His solution is accurate,
His solution is inaccurate. The factor does not divide evenly into both terms.
O His solution is inaccurate. The factoring of g xy using the given GCF is incorrect.
His solution is inaccurate. The factoring of 3 using the given GCF is incorrect.
Step-by-step explanation:
Charles factors the expression Four-thirds x y + one-third x using a factor of One-third x. He writes the factored expression as One-third x (4 y + 1). Which best describes the accuracy of Charles’s solution?
His solution is accurate.
His solution is inaccurate. The factor does not divide evenly into both terms.
His solution is inaccurate. The factoring of Four-thirds x y using the given GCF is incorrect.
His solution is inaccurate. The factoring of One-third x using the given GCF is incorrect.
i hope you understand
Write an emergency that could happen that would have a financial cost
Answer:
Your house burning down.
Step-by-step explanation:
You would have to pay to repair it.
Answer:
Earthquake will make the building crash and people will lost their things and money. And the building need to rebuild.
The building fire will make people lost their things and the building need to rebuild.
Tsunami will make the things near beach all destroy, all the things will lost and more people will die in disaster. All the building need to rebuild in this disaster.
Bank robbery will lost money, sometimes people will kill by the gun of the thief, and the building do not need to rebuild, maybe the window need to rebuild.
Rob the shop will make the boss of the shop lose all the money in the store, the door or window might need to rebuild.
Blasting vehicle will make the things in the car lose. the car need to put the windows on again.
Terrorist attacks will lost lives more than lost money or other things.
Volcanic eruptions will make the building near burn, and so plant and many other things. The building might need to rebuild.
That is all I can think of.
Which statement best describes the function?
O A. The function is increasing when x < 0.
B. The function is decreasing when x > 0.
C. The function is never increasing.
D. The function is always increasing.
Answer:
D. The function is always ingcreasing
Please help I don’t gat this
Answer:
30 yards
Step-by-step explanation:
the dotted line causes a rectangle and a triangle to be formed. the formula for area of a triangle is base times height divided by 2. you subtract 6 from 9 which is 3 and multiply it by 4 as it is the height of the triangle after, divide by 2 . since 4 and 3 is 12, dividing 12 by 2 is 6 which is the area of the triangle. the area of the rectangle is 6 times 4 which is 24. add 24 and 6 and u get 30
the top fully says solve the following system of equations. please help!!
Answer:
x = - 4, y = - 1
Step-by-step explanation:
Given the 2 equations
3x + 7y = - 19 → (1)
7x - 4y = - 24 → (2)
Multiplying (1) by 4 and (2) by 7 , then adding will eliminate the y- term
12x + 28y = - 76 → (3)
49x - 28y = - 168 → (4)
Add (3) and (4) term by term to eliminate x
61x + 0 = - 244
61x = - 244 ( divide both sides by 61 )
x = - 4
Substitute x = - 4 into either of the 2 equations and solve for y
Substituting into (1)
3(- 4) + 7y = - 19
- 12 + 7y = - 19 ( add 12 to both sides )
7y = - 7 ( divide both sides by 7 )
y = - 1
may kapangyarihan bilang pinakamataas na hukuman sa kolonya
Answer:
which language is this .