The smallest sample size needed to construct a 99% confidence interval with a margin of error of no more than ±1 inch is 39.
The margin of error (E) for a confidence interval is described as:
E = z × (σ / √n)
where:
E is the desired margin of error
z is the z-score corresponding to the desired confidence level (in this case, 99% confidence level)
σ is the population standard deviation
n is the sample size
In this case, the margin of error is no more than ±1 inch, so E = 1 inch.
Now, determine the z-score corresponding to a 99% confidence level using a standard normal distribution table or statistical software.
For a 99% confidence level, the z-score is approximately 2.576.
Plugging in the known values into the margin of error formula,
1 = 2.576 × (2.4 / √n)
To solve for n, rearrange the formula as follows:
√n = (2.576 × 2.4) / 1
√n = 6.1824
n = (6.1824)²
n ≈ 38.16
Therefore, the smallest sample size needed to construct a 99% confidence interval with a margin of error of no more than ±1 inch is 39.
To learn more about the confidence interval;
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#SPJ12
.6(5 + 4) = 30 +____=_____
Answer:
30 + 24 = 54
Step-by-step explanation:
If the sum of the measures of ∠H and ∠J is 76∘ , what is the measure of ∠I ?
Answer: HKJ = 100
Step-by-step explanation
In this problem we need to use the property of a inscribed angle:
The inscribed angle is a point in the circle that has endpoints also in the circle. The value of the inscribed angle is half the value of the arc formed by the endpoints.
So, If the arc FJ is 84°, we have that the angle in point G isi 84/2 = 42°
-2x + 4 = 12
Explain what mistake did he make
Answer:
X=-4
Step-by-step explanation:
-2x + 4 = 12
so what you would do is subtract 4 from itself and 12
4 - 4 = 0
12 - 4 = 8
then we have-
-2x = 8
we then divide 2 from 2 and 8
2 divided by 2 = 0
2 divided by 8 = 4
so x = -4
(X^1/8 y^1/4 z^1/2)^8
Which answer choice 10 points
Answer:
Step-by-step explanation:
Hope this helps and i DID NOT use a Calculator!
Students drop a 2 kg object from rest out a window that has a
height of 10 m during a lab experiment. The students time the
object to hit the ground and measure 1.2 s. Calculate the
difference between the PE at the top and the KE at the bottom.
a. greater than 75 J
b. less than 25 J
c. between 25 J & 50 J
d. between 50 J & 75 J
Answer:
a. greater than 75 J
Step-by-step explanation:
Potential Energy at the top = mgh
Mass m = 2kg
g = 9.8m/s^2
height h = 10m
Potential Energy at the top = 2 * 10 * 9.8
Potential Energy at the top = 196Joules
The object is not moving at the bottom, hence the KE of the body at the bottom is 0Joules
difference between the PE at the top and the KE at the bottom = 196 - 0 = 196Joules
Hence the difference between the PE at the top and the KE at the bottom is greater than 75Joules
Which function is shown on the graph?
Answer:
y = (1/2) cos (x)
Step-by-step explanation:
It has the same period as cos x but only goes half as high and half as low. Normalyy, cos(x) goes up to 1 and down to -1.
4. What should be added to 13.652 to get 18.9064?
5. What should be subtracted from 30 to get 19.835?
PLS HELP ME!!!!!!!!!!! Satish's register shows a deposit on February 4 in the amount of $150.00, an atm withdrawal on February 5 in the amount of $180, and another deposit on February 7 in the amount of $225.56. What should Satish's balance in his register be? A. $610.82, B.$792.91, C.$910.82, or D.$947.14
Answer:
Balance = $195.56
Step-by-step explanation:
Credit:
Feb 4 deposit = $150.00
Feb 7 deposit = $225.56
Total credit = $375.56
Debit:
Feb 5 ATM withdrawal = $180
Total Debit = $180
Balance = credit - debit
= $375.56 - $180
= $195.56
Balance = $195.56
The answer is not included in the option. It is either the options are not correct or the values in the question are not correct. Please recheck
Satish's balance in his register would be $195.56
Equation
Equation is an expression used to show the relationship between two or more numbers and variables.
Credit:
Feb 4 deposit = $150.00
Feb 7 deposit = $225.56
Total credit = $150 + $225.56 = $375.56
Debit:
Feb 5 withdrawal = $180
Total Debit = $180
Balance = $375.56 - $180 = $195.56
Satish's balance in his register would be $195.56
Find out more on equation at: https://brainly.com/question/2972832
I need help pleaseeeee
Answer:
the answer is -
Step-by-step explanation:
Answer:
This Looks liKe the rise is -10 and the run is 10
Determine whether each equation is true or false.
True
False
32 = 2 x 2 x 2
53 = 15
81 = 71
If answer i will make brainliest
Answer:
1=false 2= false and 3= false
Step-by-step explanation:
On a trip to Washington, D.C., you and your friend are standing next to the Washington Monument. Your friend wants to buy a guide book to find out how tall the Washington Monument is, but will use the money to buy a snack to share instead if you can figure it out. If you know your own height, what two additional measurements must you know to solve the problem?(1 point)
the length of the shadow cast by the Washington Monument and the length of the shadow cast by the Lincoln Memorial
the length of your shadow and the length of your friend’s shadow
the length of your shadow and the length of the shadow cast by the Washington Monument
the length of your friend’s shadow and the length of the shadow cast by the Washington Monument
If a 30-foot tree casts an 18-foot shadow, find the length of the shadow cast by a 24-foot tree. (1 point)
14.4 feet
432 feet
22.5 feet
40 feet
In △ABC, m∠A=42°, m∠B=50°, AB=4, and AC=3. In △XYZ, m∠X=42°, m∠Z=88°, XY=14, and YZ=9.5. Find the measures of BC¯¯¯¯¯¯¯¯ and XZ¯¯¯¯¯¯¯¯. Round to one decimal place.(1 point)
BC=2, XZ=7.1
BC=2, XZ=10.5
BC=2.7, XZ=7.1
BC=2.7, XZ=10.5
Answer:
1) the length of your shadow and the length of the shadow cast by the Washington Monument
2) 14.4 feet
3) BC=2.7, XZ=10.5
Step-by-step explanation:
just too the quiz
Answer:
1: The length of your shadow and the length of the shadow cast by the Washington Monument
2: 14.4
3: Yes, the triangles are similar.
/\ PSQ~/\RST
4: The solution for the value of x is incorrect because the proportion does use the ratios of corresponding sides
5:
Step-by-step explanation:
PLEASE HURRYYY!!!
M(2, 4) is the midpoint of segment AB. (7,9) are the coordinate for the endpoint B. What is
the length of AB?
Answe
Step-by-step explanation:
PLS HELP I WILL GUVE POINT
Answer:
D
Step-by-step explanation:
-3*7=-21k+2
Answer:
what thye said loll
Step-by-step explanation:
1.
Real, Imaginary, and Complex: Create a Graph
[suggested time: 5 minutes]
A. In the middle of your page, draw a real number line, labeling integer values from - 10 to 10. Also plot %, - %s,p, 2p, and e.
B. Vertically through o, draw an imaginary number line, labeling i 21, 31,..., 101, above and -1, -21.....-101 below. You should now have a familiar Cartesian coordinate
plane, labeled in a somewhat new way.
Answer: A is the answer
Step-by-step explanation:
Answer:
Step-by-step explanation:
A. In the middle of your page, draw a real number line, labeling integer values from - 10 to 10. Also plot %, - %s,p, 2p, and e.
Calculate the area and perimeter of the polygon.
Answer:
a) P = 24.2 units
b) A = 13.9 square units
Step-by-step explanation:
Perimeter = [tex]\sqrt{10}[/tex]+[tex]\sqrt{10}[/tex] + 4[tex]\sqrt{5}[/tex] + 4[tex]\sqrt{5}[/tex]
P = 2[tex]\sqrt{10}[/tex] + 8[tex]\sqrt{5}[/tex] which is approx 24.2 units
To find area you must find the height which can be done using the Pythagorean Theorem (we can do this for the small triangle on the left):
([tex]\sqrt{5}[/tex]²) + h² = ([tex]\sqrt{10}[/tex]²)
5 + h² = 10
h² = 5
h = [tex]\sqrt{5}[/tex]
A = bh
A = [tex]\sqrt{5}[/tex] (4 + [tex]\sqrt{5}[/tex])
A = 4[tex]\sqrt{5}[/tex] + 5 which is approx 13.9 square units
Which of the following absolute-value inequality corresponds to -2< X < 4?
Answer:
-2 is the biggest number because in the negatives the bigger number us always the smaller one.
in the year 2001, a company made 7.7 million dollars in profit. For each consecutive year after that, their profit increased by 7%. How much would the company's profit be in the year 2004, to the nearest tenth of a million dollars?
Answer:
3.5 billions
Step-by-step explanation:
The table shows the relationship between the number of Calories Jacob burns while roller skating and the number of minutes he roller skates,
Minutes Calories Burned
40
200
80
400
120
600
160
800
How many calories will Jacob burn in 1 minute while roller-skating? Enter the answer in the box.
Answer:
40 calories burned
Step-by-step explanation:
The slope of the line that passes through the points (-1,w) and (-10,4) is 1/9
What is the value of w?
A.9/2
B.- I0
C.5
D.1/2
Answer:
c
Step-by-step explanation:
PLEASE HELP BEEN STUCK FOREVER!!!!!!!!!!!!
INCLUDE STEPS
Answer:
6.9
Step-by-step explanation:
Arc Length Formula: 2rπdata/360
First find data:
In this case, data is the length of arc AB
Arc AB is the central angle: 165 degrees
Substitute radius and data into the formula
2(2.40)(165)π/360
This form(792/360π) is not acceptable since the question is asking for the answer in decimal form. Multiply pi.
Make sure to use the pi symbol, not 3.14.
792/360π
6.91 to the nearest tenth is 6.9
Hope this helps!
Below is the number of service calls a store received over a period of 87 days.
To graph the information into a frequency table, which interval below would be the most appropriate?
A. 1
B. 2
C. 4
D. 10
the answer is 4 than me later
Answer:
answerbis 4
Step-by-step explanation:
A Cylinder has a radius of 10 feet and a height of 11.4 feet what is the approximate volume of the cylinder?
Answer:
3579.6 [tex]ft^{3}[/tex]
Step-by-step explanation:
First, write out the equation used to find the volume of a cylinder and place the values in place of the variables. The equation is [tex]\pi[/tex][tex]r^{2}[/tex]*h where r is the radius and h is the height. When we place the values of the variables into the equation we get: [tex]\pi[/tex][tex]10^{2}[/tex]*11.4. Next, square 10 to get 100. This would give you 3.14*100*11.4. When you multiply this together you get 314 times 11.4 which gives you 3579.6 ft cubed.
I believe it's 3581.42 (if the answer needs be rounded to 2 decimal places.
Step-by-step explanation:
area of circle = r×r×π
area of circle × height = volume
10 × 10 × π = 314.16
314.16 × 11.4 = 3581.42
Okay I put -646/15 but it’s wrong can someone help me
Answer:
-30 5/6
Step-by-step explanation:
You are adding two negative numbers, so add their absolute values and make the answer negative.
-28 1/3 + (-2 1/2) =
= -(28 1/3 + 2 1/2)
We add the absolute values 28 1/3 and 2 1/2. We need a common denominator for the fractions. The LCD of 2 and 3 is 6.
= -(28 + 2 + 1/3 + 1/2)
= -(30 + 2/6 + 3/5)
= -(30 5/6)
= -30 5/6
I need help please its for math and i put my screenshot under
Answer:
choice 2, y=1/4x
Step-by-step explanation:
Liz ran 4/5
km on Monday and 5/6 km on Tuesday. Select the true statement about the distance Liz ran.
Choose 1 answer
A:
Both fractions are almost 1 whole.
B:
One fraction is about 1/2 and the other is less than 1/2
Select the best estimate for the combined distance Liz ran Monday and Tuesday.
Choose 1 answer:
1/2 km
1 km
2 km
solve the simultaneous equations
I hope it helps you ❤️❤️❤️
FREE BRAINLIEST IF YOU ANSWER CORRECTLY!! (50pts)
Answer:
it is 10
Step-by-step explanation:
Answer:
ya its 10
Step-by-step explanation:
PLEASE HELP!!!!!! IM HORRIBLE AT MATH
PLEASE PLEASE PLEASE PLEASE HELP!!!!!!!!
Answer:
2. No, the triangles can't be proven congruent
3. yes, SAS; ΔSTV ≅ ΔSUV
4. yes, SSS; ΔNMQ ≅ ΔNPQ
5. No, the triangles can't be proven congruent
6. yes, SAS; ΔXWZ ≅ ΔXYZ
7. | Reasons |
1. | given (note this is a side) |
2. | given (note this is a side) |
3. | given |
4. | definition of a midpoint (a midpoint bisects the line it is one because it is equidistant from the two endpoints; basically, the two pieces of a line bisected by a midpoint will always be equal) |
5. | SSS Theorem (the two givens beside the midpoint were two sets of equal corresponding sides; since we have three sets of corresponding sides equal, the theorem used here is the SSS Theorem) |
Step-by-step explanation:
Here's a quick review of the two theorems mentioned in this worksheet:
Side-Side-Side Theorem: in reference to congruency, this theorem states that if the three sides of one triangle are equal to the respective sides of another triangle, then the two triangles are congruent.What about SAS? The letters are ordered in that way for a reason: the Side-Angle-Side Theorem tells us that if we have two triangles, and a set of two corresponding sides and their included angle are equal, then the triangles are congruent.By included angle, we mean the angle between two sides.I know, jaelee04, I'm sorry, this explanation is a bit short, but email me and I'll send you my full answer. The warning is that it's really long!
Find the inverse of y = In2x.
Step-by-step explanation:
y=2x
interchanging the role of x andy
x=2y
y=x/2
:.inverse of y=2xis y=x/2