Rewrite all 4 numbers as decimals to compare them:
88/25 = 3.52
3 11/20 = 3.55
Now arrange them in the correct order:
88/25, 3 11/20, 3.551, 3.88
Answer:
Step-by-step explanation:
all numbers are 3 and some more
start by arranging the decimals from least to greatest
3.551, 3.88
88/25 ( 25, three times is 75) = 3 and (88-75)/25 = 3 and 13/25 =3.52
3 11/12 is almost 4 because 11/12 is almost 12/12
the order is :
88/25, 3.551, 3.88, 3 11/20
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle and two congruent triangles. As a result, the altitude cuts the base into two equal segments. The length of the altitude is 11 inches, and the length of the base is 6 inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
The perimeter of the considered isosceles triangle is 28.8 in. approx.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
[tex]|AC|^2 = |AB|^2 + |BC|^2[/tex]
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Considering the attached image below, which has same isosceles triangle with same measurements, we see that:
|AC| = |AB| (because perpendicular dropped leaves two congruent triangles in ABC, as ADC and ADB)
similarly, we have:
|BD| = |DC|
But |BC| = 6 = |BD| + |DC|,
Thus, 6 = |BD| + |DC| = |BD| + |BD| =2|BD|
|BD| = 6/2 = 3 inches = |DC|
From Pythagoras theorem for triangle ADB, we get:
[tex]|AB|^2 = |AD|^2 + |BD|^2\\|AB|^2 = 11^2 + 3^2 = 121 + 9 = 130\\|AB| = \sqrt{130} \approx 11.4 \: \rm in. = |AC|[/tex]
(positive square root since |AB| is length, which is a non-negative measure).
Thus, we get:
Perimeter of the rectangle = |AB| + |BC| + |AC| ≈ 11.4 + 6 + 11.4 = 28.8 in.
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A study was done to compare the effectiveness of distance learning with traditional classroom instruction. Fourteen students took a business administration course online, while 17 students took it in a classroom. The final exam scores were as follows. It is reasonable to assume that the samples come from populations that are approximately normal.
Online
65 74 84 63 87 76 73
90 71 68 76 82 61 69
Classroom
70 79 55 74 82 70 80 73 77
54 82 80 81 68 58 69 92
Required:
a. Construct a 95% confidence interval for the difference between the mean scores for the two types of instruction.
b. An educator claims that both methods of instruction are equally effective. Does the confidence interval contradict this claim?
Answer:
See below for answers and explanations
Step-by-step explanation:
Part A:
Check conditions for a 2-sample t-interval:
Random sample? √
Is the sample size no more than 10% of the population? √
Are both samples approximately normal? √
Construct the 95% confidence interval:
On a TI-84, click on "Stat", scroll to "Tests", and select "2-SampTInt". Put your data into 2 lists and set C-Level to be 0.95 to represent a 95% confidence level. Make sure the data isn't pooled, and press "Calculate" to obtain your results. You will see that the 95% confidence interval for the difference between the mean scores for the two types of instruction is {-6.042,8.1175}
Part B:
The confidence interval does not contradict the claim because 0 is contained within the 95% confidence interval, so it is quite possible that there is no difference between the mean scores for the two types of instruction.
Helen draws a random circle, she then measures the circumference and diameter.
She gets a circumference C of 405mm correct to 2 significant figures
She gets a diameter D of 130mm correct to 2 significant figures
Helen wants to find the value of [tex]\pi[/tex] using the formula [tex]\pi[/tex] = C÷D
Calculate the lower and upper bound for Helens value of [tex]\pi[/tex]
Give your answer correct to 3 decimal places
The value of π can be written with upper and lower limits as -
3.12 ± 0.062.
What are significant figures?Significant figures of a number in positional notation are digits in the number that are reliable and necessary to indicate the quantity of something.
Given is that Helen draws a random circle, she then measures the circumference and diameter. She gets a circumference {C} of 405mm correct to 2 significant figures She gets a diameter {D} of 130mm correct to 2 significant figures.
We can write -
Circumference {C} = (405 ± 2) mm
Diameter {D} = (130 ± 2) mm
The value of π can be calculated as -
π = {C}/{D}
π = (405 ± 2)/(130 ± 2)
Now, divide the numbers without errors first -
405/130
3.12
Now, we will calculate the relative errors in each number -
2/405 = 0.004
2/130 = 0.016
Adding the relative errors -
0.004 + 0.016
0.02
Absolute error = 0.02 x 3.12 = 0.062
The value of π can be written with upper and lower limits as -
3.12 ± 0.062
Therefore, the value of π can be written with upper and lower limits as -
3.12 ± 0.062.
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Which is the
graph of y - 3 = -2/3(x-6)
Answer:
the graph would show a line with a y-intercept of 7 and a slope of -2/3
Step-by-step explanation:
y - 3 = -2/3x + 4
y = -2/3x + 7
the graph would show a line with a y-intercept of 7 and a slope of -2/3
Answer:21/2
Step-by-step explanation:
Find the equation of the exponential function represented by the table below
The equation of the exponential function represented by the table will be y = 4(3)ˣ.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
Take two points from the table, then the points are (0, 4) and (1, 12).
The equation passes through (0, 4), then we have
4 = a(b)⁰
a = 4
The equation passes through (1, 12), then we have
12 = 4(b)¹
b = 3
Then the equation of the exponential function represented by the table will be y = 4(3)ˣ.
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Take a look at the picture. Please write an explanation to go with your answer.
Thank you :)
Answer:
1/ 4
Step-by-step explanation:
The least amount of sap is represented on the horizontal Axis. The least amount means the treetgatvproduced the smallest amount of sap. Which will be the value to the left of the line dot plot as the values are ordered. Hence, we can say that three trees produced the smallest amount of sap which is 1/4
solve number 13 please
Therefore , the solution of the given problem of domain is The range of f(x) is a subset of this range, which is the range of -3x-2 (-14,), after answering the given question.
Describe Domain.A function's domain is the set of values that can be sent into it. This collection represents all x values in a function like f. (x). A function's range is the set of possible values that it can accept. This collection includes the values that the return statement when we enter an x value. Assume that x and y are indeed the independent and dependent variables of a function with the formula y = f(x). If a function f provides a way to generate a single value y successfully while using a value of x .
Here,
In this case, f(x)=-3x-2 x < 4
3/4x-1 x≥ 4
Domain
This range, which is the range of -3x-2 (-14,), is a subset of the range of f(x).
Therefore , the solution of the given problem is The range of f(x) is a subset of this range, which is the range of -3x-2 (-14,), after answering the given question.
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A system of linear equations with an infinite number of solutions is a(n).
_____system.
Answer:
It means that if the system of equations has an infinite number of solution, then the system is said to be consistent.
The gym at black hawk is shaped like a square. What is the length of the gym if the area of the floor is 1,024 square feet?
[tex]1024 \div 4 = 256[/tex]
Answer:
32 feet
Step-by-step explanation:
area= length * width
squares have the same length and width
so therefore, you have to find the square root of 1024
1024= length*width, but the length is the same as the width
1024= length^2
24 percent bought lunch and 190 brought food from home how many students are their
Answer:
Their are 166 students
are brought food
What is the mean of these numbers?4,5,5,2,3,3,2,8 *
Answer:
16
Step-by-step explanation:
On a certain hot summer's day, 379 people used the public swimming pool. The daily prices are $1.75 for children and $2.00 for adults. The
receipts for admission totaled $693.50. How many children and how many adults swam at the public pool that day?
Let, number of children and adults swam at the public pool that day is x and y.
So, x + y = 379 .....1)
It is given that daily prices are $1.75 for children and $2.00 for adults.
Also, the receipts for admission totaled $693.50.
So, 1.75x + 2y = 693.50 .....2)
Putting value of y from equation 1 to equation 2 , we get :
1.75x + 2( 379 - x ) = 693.50
758 - 2x + 1.75x = 693.50
0.25x = 64.5
x = 258
So, y = 379 - 258 = 121
Therefore, number of children are 258 and adults are 121.
An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the volume of each drinking cup?
The volume of each drinking cup is 7.9 cubic inches.
What is the volume?An office uses paper drinking cups in the shape of a cone, with dimensions as shown.
The formula provides the volume of a cone.
V = (1/3) * π * r² * h.
We can find the solution by entering the already-known data into the formula.
d = 2.75 m.
Since radius is half of d, we can say
0.5 * 2.75 = 1.375 in.
4 inches is listed as the height.
The result of plugging all of them into the original formula is:
V = (1/3) * π(1.375)² (4) = 7.9
Our final response, rounded to the closest tenth, is:
V = 7.9 cubic inches.
The volume of each drinking cup is 7.9 cubic inches.
The complete question is An office uses paper drinking cups in the shape of a cone, with dimensions as shown. To the nearest tenth of a cubic inch, what is the volume of each drinking cup?
d = 2.75 m.
h = 4
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Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.
8, -14, and 3 + 9i
Options: f(x) = x4 - 11x3 + 72x2 - 606x + 10,080
f(x) = x4 - 303x2 + 1212x - 10,080
f(x) = x4 - 11x3 - 72x2 + 606x - 10,080
f(x) = x4 - 58x2 + 1212x - 10,080
Answer:
B
Step-by-step explanation:
5. Miss Diaz wants her students to practice making the next ten.
a. Circle the problems Miss Diaz should give her students.
12 + 23
38 + 22
64 +99
36 + 40
79 +48
b. Explain why Miss Diaz should give the problems you circled.
Her class of 30 pupils can be divided into 10 groups using 5 groups of 2 students and 5 groups of 4 students each.
what is circle ?A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Every pair of points in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle.
given
10 groups of 3 students = 30 students :
5 groups of 2 students + 5 groups of 4 students = 30 students : 7 groups of 3 students + 3 groups of 3 students = 30 students
so Her class of 30 pupils can be divided into 10 groups using 5 groups of 2 students and 5 groups of 4 students each.
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At American Eagle a shirt is on sale from 25 to 15 what is the percent of change for the shirt
Answer:
Percent change = 15 - 25/25 × 100% = -10/25 × 100 = -40%
Step-by-step explanation:
Answer:
5 percent
Step-by-step explanation:
divide 25 by5 which gives you percent
Identify the basic shapes in the figure:)
Which equation has a solution of k = 6.5?
What is 0.3172 rounded to the nearest tenth?
Answer:
0.3172 rounded to the nearest tenth would be 0.3.
This is because you would first look at the number in the tenths place which is 3.
Then you would look to the number to the right to determine if you would round up or down.
If the number in the hundredths place is bellow 5, the number would remain the same, and if it were above 5, it would round up by one number.
If the number were 5, you would look to the number in the thousandths place and then go from there.
Since the number in the hundredths place is 1, then you will ignore the other numbers to the right and, you would have a result of 0.3.
Step-by-step explanation:
Hope it helps! =D
Answer: 0.3171 rounded to the nearest tenth is 0.3.
Step-by-step explanation:
Follow these steps for rounding the decimal number 0.3171 to the nearest tenth (one decimal place):
Find the tenth digit, = 3 in the 0.3171.
Find the digit immediately to the right of the tenth place. If this number is greater than or equal to 5, round up; otherwise, round down.
= 1 in the 0.3171
Because 1 is less than 5, the tenth position digit 3 remains constant.
Remove all digits to the right of the rounding digit and rewrite the number.
As a result, 0.3171 rounded to the nearest tenth is 0.3.
This subtraction represents a translation of the
given triangle
——- and ——-
Answer:
right 2 unitsdown 4 unitsStep-by-step explanation:
You want to know the translation effected by subtracting -2 from the x-coordinate, and subtracting -4 from the y-coordinate of the vertices of a triangle.
TranslationYou have correctly observed that the triangle vertex (-2, 0) is translated to (0, -4) by the subtraction of the translation matrix. That is, the x-coordinate is increased by 2, moving the point 2 units to the right, while the y-coordinate is decreased by 4, moving the point 4 units down.
The translation is to the right by 2 units, and a translation down by 4 units.
Answer: 2 units right 4 units down
Step-by-step explanation: trust
A business gained 50 new customers in April, 100 new customers in May, and 150 new customers in June. During that time, they were running a campaign with a budget of $3000. What was their Customer Acquisition cost?
Their Customer Acquisition cost was $10
What is customer acquisition cost?Customer Acquisition Cost is the cost of winning a customer to purchase a product or service. As an important unit economic, customer acquisition costs are often related to customer lifetime value. Customer acquisition cost can also be referred as the fee associated with convincing a customer to buy your product or service.
To calculate customer acquisition cost
Customer Acquisition Cost (CAC) = Customer Acquisition Cost/total marketing cost
From the question,
The business gained 50+100+150= 300 new customers
Campaign budget = $30000
Customer Acquisition Cost (CAC) = $3000/300
=$10
Hence, it cost the business $10 to acquire a new customer
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Can you please solve tan(36)=11/b
Round 2 decimal places
Please help assignment due in 20 minutes no links
3 3/8 Converted to improper fraction
Answer:
27/8
Step-by-step explanation:
First, note that 3 3/8 is a mixed number, also know as mixed fraction. It has a whole number and a proper fraction. The numbers in the mixed fraction are defined as follow:
3 = whole number
3 = numerator
8 = denominator
To convert mixed number 3 3/8 to improper fraction, you follow these steps:
1. Multiply the whole number by the denominator
3 × 8 = 24
2. Add the product from Step 1 to the numerator
24 + 3 = 27
3. Write answer from Step 2 over the denominator
27/8
The mixed number 3 3/8 converted to improper fraction is therefore :
27/8
Instructions: Find UF if FR= 8.
Help please
Answer:
16
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
2x^5 + 4y^12/12x^2 = ?
Solve in simplest form
Answer:
2x^5+y^12*x^2/3
Step-by-step explanation:
what are the two x-intercepts for f(x) (x-1) (x+3)
Answer:
Step-by-step explanation:
Express the product of (1/2x + 1/5) and (5/3x+1/3) as a trinomial in simplest form.
Answer:
5/6x^2 + 1/2x + 1/15
Step-by-step explanation:
(1/2x + 1/5)(5/3x + 1/3)
5/6x^2 + 1/6x + 1/3x + 1/15
5/6x^2 + 1/6x + 2/6x + 1/15
5/6x^2 + 3/6x + 1/15
5/6x^2 + 1/2x + 1/15
please help!!
i will mark as brainliest
Step-by-step explanation:
okay
I think you should use the method of tan 30
and then find x by using pythagorean theorem
Solve the following inequalities, if it is known that function g is decreasing on its domain.
g (x^2) > g (5x+6), D(g) = [1,∞)
PLEASE HELP. IVE BEEN STUCK ON THIS PROBLEM FOR THE PAST HOUR.
Answer:
1 ≤ x < 6
Step-by-step explanation:
Okay so the answer is 1 ≤ x < 6, and the way you solve it is pretty simple :)
First: Eliminate the functions of the inequality, leaving it to just being an inequality. You have to understand that the function is decreasing on its domain, so the sign will reverse itself once you take away g(x)
This should take you from having [tex]g(x^{2} )>g(5x+6)[/tex] to having [tex]x^2<5x+6[/tex]. From here you solve the inequality to get [tex]-1<x<6[/tex], although you aren't done.
Afterwards you take into account the domain, which restricts everything to being greater than or equal to one. This means that your inequality changes to 1 ≤ x < 6.
yw and good luck w ur rsm hw haha
lmk if this was helpful :P
The solution of inequality is 1 ≤ x < 6.
What is Function?A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Remove the inequality's functions, leaving it as an inequality alone.
As, the function is decreasing on its domain, the sign will change if g(x) is removed.
We have
g (x²) > g (5x+6)
x² > 5x +6
For the above equation the interval is -1 < x < 6.
The domain, which limits everything to being larger than or equal to one, is then taken into consideration.
So, the inequality is 1 ≤ x <6.
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i need help figuring out this question
Answer:
nre, nre
Step-by-step explanation:
Given
[tex]4b^2 + 16 = 0[/tex]
Required
Solve
[tex]4b^2 + 16 = 0[/tex]
Subtract 16 from both sides
[tex]4b^2 +16 -16 = 0 - 16[/tex]
[tex]4b^2 = - 16[/tex]
Divide both sides by 4
[tex]b^2 = -4[/tex]
Take square roots of both sides
[tex]b = \sqrt{-4[/tex]
[tex]\sqrt{-4} \to[/tex] Complex number
Hence, no real root exist