Hello!
4/7 = 44/77
6/11 = 42/77
42/77 < 43/77 < 44/77
the rationnal number between 4/7 and 6/11 is 43/77
Paired or independent? To construct a confidence interval for each of the following quantities, say whether it would be better to use paired samples or independent samples, and explain why.
a. The mean difference in height between identical twins.
b. The mean difference in height between men and women.
c. The mean difference in apartment rents between apartments in two different cities.
d. The mean difference in apartment rents in a certain town between this year and last year.
Answer:
Paired or Independent Samples
Quantities Samples
a. Paired Samples because the heights of the identical twins are dependent on each other.
b. Independent Samples; the height of men and women are independent of the other.
c. Independent Samples; rents in two different cities are not expected to be dependent on each other.
d. Paired Samples; rent in a certain town between this year and last year are dependent on each other.
Step-by-step explanation:
Paired Samples are used when there is a natural or matched coupling such that a data set is generated in which each data point in one dependent sample is uniquely paired to a data point in the second dependent sample. In this case, the two samples are dependent on each other.
Independent Samples are used when there is a random selection of samples because their observations are independent.
The water pressure on a submerged object is given by P = 64d, where P is the pressure in pounds per square foot, and d is the depth of the object in feet.
a. solve the formula for d.
b. Find the depth of a submerged object if the pressure is 672 pounds per square foot.
The water pressure on a submerged object is given by P = 64d, then the
a. The answer to the subject of the formula, "d," is d = P/64.
b. A submerged object will be 10. 5 feet deep at a pressure of 672 pounds per square foot.
What is a function?A function can be defined as an expression, law or rule that shows the relationship between two variables.
These variables are namely;
Independent variableDependent variablegiven the role as;
P = 64d
Where;
P stands for pounds per square foot of pressure.
d represents the object's depth in feet.
Let's now make the variable "d" the focus of the formula.
The coefficient of the variable "d," which is 64, is used to divide both sides of the equation. So that the variable can stand on its own, this is done.
We get,
P/64 = 64d/64
d = P/ 64
P equals 672 pounds per square foot if there is pressure.
When the variable's value is substituted into the formula, we get;
d = P/64
Then,
d = 672/64
Discover the quotient.
d = 10. 5 ft.
The value is 10.5 feet.
Therefore,
a. The answer to the subject of the formula, "d," is d = P/64.
b. A submerged object will be 10. 5 feet deep at a pressure of 672 pounds per square foot.
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Can someone help with the answer?
Laura is bowling 5 games. Her first 4 scores were 118, 82, 134, and 85.
To end up with an average score of at least 116, what is the lowest score Laura will need in the fifth game?
a construction is shown in the following diagram. an arc was formed by having point a and point b as the center and using the same radius. based on this diagram, which statement is not true?
The statement that is not true: The arc is not a semicircle.
The arc in the diagram does not appear to be a semicircle because it is not a complete circle and the two points, a and b, do not appear to be the same distance from each other.Analysis of an Arc Formed by Two Points with the Same RadiusThe diagram shows an arc that is formed by two points, point a and point b, with the same radius. The arc does not appear to be a semicircle because it is not a complete circle and the two points, a and b, do not appear to be the same distance from each other.
This means that the statement “The arc is a semicircle” is not true. Additionally, the arc could be an ellipse or some other curved shape, depending on the location of the two points, a and b, relative to each other.
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Mathematics problem
Y+x=20
solve for y
Answer:
y = 20 - x
Step-by-step explanation:
subtract x from both sides
Answer: Y=20−x
Hello
Sam wants to fill six containers with 3/4 cup of lemonade. How much lemonade will he need to fill the six
containers? Me or my teacher buggin but it might just be I have the wrong label. Label would be appreciated in the answer. THANK YOU!
Answer:
4.5 cups of lemonade is needed
Step-by-step explanation:
what is the best thing to wtch on peacock
Answer:
Ride Along, Identity thief, Parenthood or Bullet Proof
Step-by-step explanation:
A rectangle with a perimeter of 40 inches has a width that is 3 times the length. What is the length And the width
The Length is 5 inches and the Breadth is 15 inches
What is Perimeter?
A perimeter is a closed route that covers, surrounds, or outlines a two-dimensional form or length. The circumference of a circle or an ellipse is its perimeter. There are various practical applications for calculating the perimeter.
Solution:
Perimeter of Rectangle = 2*(Length + Breadth)
According to the question
Breadth = 3*Length
Perimeter = 40
40 = 2*(Length + 3*Length)
20 = 4*Length
Length = 5 inch
Breadth = 15 inch
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Can someone help me with this? I’m confused
Answer:
Option 4
Step-by-step explanation:
The domain of this function is the possible values of n that are suitable for this function. Since n represents a number of vehicles, the domain of n should be a whole number (since you cannot have a negative number of vehicles or half of a vehicle).
hope this helps :)
One interior angle and one exterior angle are marked on the 7-sided shape
below.
Calculate the size of the exterior angle x.
Т
134°
The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.
How to Calculate the Size of the Exterior Angle of a Polygon?To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:
Interior angle + Exterior angle = 180°
Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:
134° + Exterior angle = 180°
To isolate the exterior angle, we subtract 134° from both sides of the equation:
Exterior angle = 180° - 134°
Simplifying further:
Exterior angle = 46°
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1. (f + h)(x)
if f(x)= x
Answer:
not enough info
Step-by-step explanation:
f(x) = x is fine, but without h(x), you can't do (f + h)(x)
Consider the function g(y) = {(-5,22), (-2,1), (1,-2), (4,13), (9,78)}. Find the value of g(-2)
We have a function g(y) that is defined as a group of ordered pairs (y , g(y))
To find the value of g(-2), we have to look if there is a pair where the first number (y) is equal to -2.
There is an ordered pair that is (-2,1).
As the functions have one and only one value in the image g(y) for each value in the domain (y), the value of g(-2) is g(-2)=1, as the order pair indicates.
Answer: g(-2) = 1
g use the gas prices data set below to calculate a 3-month weighted moving average (wma) forecast for the average gas prices and predict the average retail gasoline price for june 2020. use the weights of 0.6, 0.3, and 0.1 for the 3-month wma, where the first weight is used for the most recent month and the last weight is used for the least recent month. round your answer to two decimal places, if necessary.
We calculated 3-month weight moving average forecast = 0.417
What is weight moving average?It is a statistical expression of calculating average forecast that allows to keep heavier weight with the most recent data.
How to calculate weight moving average?Given, weights for the 3 months are 0.6, 0.3 and 0.1 where the first weight is used for the most recent month and the last weight is used for the least recent month.
the weighing factor will be n, n-1 and n-2
n is the number of periods and n=3
now, weight moving average = [W1 × n +W2 × (n-1) × W3 × (n-2)]/ [n+(n-1)+(n-2)]
[0.6 x 3 +0.3 x 2 + 0.1 x 1]/ [3+2+1] = 0.417
hence, weight moving average is 0.417
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find the three dimensional shape
Answer:
Pentagonal Pyrimid
Step-by-step explanation:
One rectangle is "framed" within another. Find the area of the shaded region if the "frame" is 3 units wide.
The area of the shaded region, with a frame of 3 units wide, is 264 square units. The inner rectangle is 6x4 units, and the outer rectangle is 18x16 units.
To solve the given problem, we have to find the area of the shaded region if the frame is 3 units wide. If the frame is 3 units wide, then the dimensions of the inner rectangle (the shaded region) will be (12 - 6) × (10 - 6) which simplifies to 6 × 4.
Therefore, we can say that the inner rectangle has a length of 6 units and a width of 4 units.The dimensions of the outer rectangle are (12 + 3 + 3) × (10 + 3 + 3) which simplifies to 18 × 16. Therefore, we can say that the outer rectangle has a length of 18 units and a width of 16 units.
The area of the shaded region can be obtained by subtracting the area of the inner rectangle from the area of the outer rectangle. Therefore, the Area of the outer rectangle = length × width= 18 × 16 = 288 square units
Area of the inner rectangle = length × width= 6 × 4 = 24 square units
Area of the shaded region = Area of the outer rectangle - Area of the inner rectangle = 288 - 24= 264 square units
Therefore, the area of the shaded region is 264 square units.
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. Joaquin played basketball with his friends from 1:10 to 3:35. He arrived home 20 minutes later. How many minutes passed from the time Joaquin started playing basketball until the time he arrived at home?
Answer:
165 minutes
Step-by-step explanation:
To solve for the number of minutes that Joaquin played for, we can use this expression:
(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)
1:10 + a = 3:35Subtracting 1:10 from each side:
1:10 - 1:10 + a = 3:35 - 1:101:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.
So, the expression is now:
a = 2:25So, 2 hours and 25 minutes passed.
If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:
2 × 60 = 120Now we need to add on the number of minutes and the time it took him to get home:
120 + 25 + 20 = 165Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.
PLEASE HELP IF YOU CAN!!! 100 POINTS
Combined, there are 182 Asians, Africans, Europeans, and Americans in a village. The number of Asians exceeds the number of Africans and Europeans by 59. The difference between the number of Europeans and Americans is 14. If the number of Africans isdoubled, their population exceeds the number of Europeans and Americans by 16. Determine the number of Asians, Africans,Europeans, and Americans in this village.
Answer:
Asians - 114, Africans - 28, Europeans - 27, Americans - 13Step-by-step explanation:
Let
Asians - a, Africans - b, Europeans - c, Americans - dEqautions as per question
Combined, there are 182 Asians, Africans, Europeans, and Americans in a village.
a + b + c + d = 182The number of Asians exceeds the number of Africans and Europeans by 59.
a = b + c + 59The difference between the number of Europeans and Americans is 14.
c - d = 14 ⇒ c = d + 14If the number of Africans isdoubled, their population exceeds the number of Europeans and Americans by 16
2b = c + d + 16 ⇒ 2b = d + 14 + d + 16 ⇒ 2b = 2d + 30 ⇒ b = d + 15Substitute a, b and c into the first equation and solve for d
(b + c + 59) + b + c + d = 182d + 15 + d + 14 + 59 + d + 15 + d + 14 + d = 1825d + 117 = 1825d = 182 - 1175d = 65d = 65/5d = 13Find the other variables
b = 13 + 15 = 28c = 13 + 14 = 27a = 28 + 27 + 59 = 114We found that
Asians - 114, Africans - 28, Europeans - 27, Americans - 13For the first week of July, Sam Martinez worked 55 hours. Sam earns$8.60 an hour. His employer pays overtime for all hours worked in excess of 40 hours per week and pays
1.5 times the hourly rate for overtime hours. Calculate the following for the first week of July (round your responses to the nearest cent if necessary):
1) Regular Pay Amount;
2)Overtime Pay
3)Gross Pay
The regular pay amount for the first week of July is $344
The overtime pay amount for the first week of July is $193.50
The gross pay amount for the first week of July is $537.50
How to find the earnings of sam?Total hours Sam worked = 55 hoursTotal regular hours = 40 hoursOvertime hours = Total hours Sam worked - Total regular hours
= 55 - 40
= 15 hours
Amount Sam earn per hour for regular hours = $8.60
Total regular pay amount = Total regular hours × Amount Sam earn per hour for regular hours
= 40 × $8.60
= $344
Amount Sam earn per hour for overtime hours = $8.60 × 1.5
= $12.90 per overtime hour
Total overtime pay amount = Overtime hours × Amount Sam earn per hour for overtime
= 15 × $12.90
= $193.50
Total gross pay = Total regular pay amount + Total overtime pay amount
= $344 + $193.50
= $537.50
In conclusion, the regular, overtime and gross pay of Sam for the first week of July is $344, $193.50 and $537.50 respectively.
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Triangles ABC and DEF are shown.
A
B
C
D
F
E
Which transformations of triangle ABC produce triangle DEF?
Triangles ABC and DEF are similar but not congruent, Dilation on △ABC would generate △DEF as described in the statement. The correct option is A.
In a dilation, the shape is scaled up or down uniformly, maintaining the same shape but changing the size.
If triangles ABC and DEF are similar but not congruent, it means that they have the same shape but different sizes.
By performing a dilation on triangle ABC, we can obtain triangle DEF with the same shape but a different size.
This transformation involves multiplying or dividing the coordinates of the vertices by a scale factor, which changes the size of the triangle while preserving its proportions and angles.
Thus, the correct option is A.
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Your question seems incomplete, the probable complete question is:
Triangles ABC and DEF are similar but not congruent.
Which type of transformation on △ABC would generate △DEF as described in the statement?
A
Dilation
B
Translation
C
Reflection
D
Rotation
You are given the great circle of a sphere is a length of 25 miles. What is the volume of the sphere
The volume of the sphere is approximately 3431.82 cubic miles.
To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.
In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.
C = 2πr
60 = 2πr
Divide both sides of the equation by 2π:
r = 60 / (2π)
r = 30 / π
Now that we have the radius, we can use the formula for the volume of a sphere:
V = (4/3)πr³
V = (4/3)π(30/π)³
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)π(27000/π³)
V = (4/3)(27000/π²)
V = (4/3)(27000/9.87) (approximating π to 3.14)
V ≈ 3431.82 cubic miles
Therefore, the volume of the sphere is approximately 3431.82 cubic miles.
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Question
You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?
which angles are equivalent to 65 degreese
Step-by-step explanation:
angles are equivalent to 65 degrees :
<2, <4 & < 8
Determine whether the set is finite or infinite.
{42, 49, 56, ..., 70}
Answer:
The set is finite
Step-by-step explanation:
Let x be the variable
\({ \rm{42 \leqslant x \leqslant 70}}\)
What is the value of k
A local dry-cleaning company bought new equipment and its estimated useful life is 4 years. Using the straight-line depreciation method, what is the rate of depreciation each year?
Answer:
$2,500 or 25%
Step-by-step explanation:
Let's use the same example:
Cost of Equipment = $10,000
Useful Life = 4 years
Depreciation Rate = (Annual Depreciation / Cost of Equipment) * 100
Annual Depreciation = Cost of Equipment / Useful Life
Annual Depreciation = $10,000 / 4 years
Annual Depreciation = $2,500
Depreciation Rate = ($2,500 / $10,000) * 100
Depreciation Rate = 0.25 * 100
Depreciation Rate = 25%
I am 6 foot and 4 inches what is my height in metres?12 inches=to 1 foot and 1 foot=to 30 cm
Answer:
1.9 m
Step-by-step explanation:
1 ft = 30 cm (approximately)
12 in. = 1 ft
100 cm = 1 m
Find the height in ft:
4 in. / 12 in/ft = 1/3 ft
6 ft 4 in. = 6 ft + 1/3 ft = 6 1/3 ft
Convert ft to cm:
6 1/3 ft × 30 cm/ft = 190 cm
Convert cm to m:
190 cm × 1 m / 100 cm = 1.9 m
ASAP PLEASE HELP!!!!!! Find the y-intercept of the rational function. A rational function is graphed in the first quadrant, and in the second, third and fourth quadrants are other pieces of the graph. The graph crosses the x axis at negative 10 and crosses the y axis at negative 2.
Answer:
(0,-2)
Step-by-step explanation:
The y-intercept is simply when the function touches or crosses the y-axis.
We're told that the graph crosses the y-axis at -2. In other words, the y-intercept is at -2.
The ordered pair would be (0,-2)
The Henderson Toy Company is packaging clay in a container shaped like a regular square
pyramid. The base edges are 12 cm in length, and the slant height is 16 cm. Rounding to
the nearest tenth, how much clay will completely fill this container?
Answer:
190
Step-by-step explanation:
which table of values represents a linear equation?
Answer:
the last one
Step-by-step explanation:
the last one goes up in a linear sequence(the same amount each time)
7. (01.03 LC) A craft store marks up all sewing machines 45%. What is the selling price of a sewing machine that costs $155.00 before the markup? (1 point) $169.75 $224.75 $245.50 O $278.25
The selling price is $224.75.
What is Percent?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Cost price= $155
Cost marks up = 45%
Then the selling price is
=155 + 155 x 45/100
= 155 + 155 x 0.45
=155 + 69.75
= $224.75
Hence, The selling price is $224.75.
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